Under Where's the Center (in Geometry) Posted on 2018-05-20 (2 Comments) |

| re: Solution by Bractals (2018-05-27 14:22:27) |

Under Equally Spaced (in Geometry) Posted on 2018-05-13 (4 Comments) |

| A thought by Bractals (2018-07-01 19:42:45) |

| re: Possible solution by Bractals (2018-05-20 19:26:00) |

Under Angle in an Equilateral Pentagon (in Geometry) Posted on 2018-04-12 (2 Comments) |

| Solution by Bractals (2018-04-12 12:38:48) |

Under Not enough information! (in Science) Posted on 2018-03-23 (7 Comments) |

| re: considering the simultaneity issue by Bractals (2018-03-24 13:25:23) |

| Solution by Bractals (2018-03-24 13:24:19) |

Under Double Secant (in Geometry) Posted on 2018-02-15 (3 Comments) |

| Solution by Bractals (2018-02-20 19:07:58) |

Under Intersection of Perps (in Geometry) Posted on 2018-01-14 (3 Comments) |

| re: Solution by Bractals (2018-01-16 06:25:25) |

| re: Solution by Bractals (2018-01-16 01:24:36) |

Under Circumcenters and Vectors (in Geometry) Posted on 2017-12-31 (2 Comments) |

| re: Analytic solution by Bractals (2018-01-02 13:51:38) |

Under LOP (in Geometry) Posted on 2017-12-13 (7 Comments) |

| re(3): GSP exploration by Bractals (2017-12-15 15:24:21) |

| re: GSP exploration by Bractals (2017-12-13 21:49:22) |

Under T-N-T (in Geometry) Posted on 2017-11-25 (2 Comments) |

| re: Solution by Bractals (2017-11-28 11:25:08) |

Under Parallelograms (in Geometry) Posted on 2017-09-09 (5 Comments) |

| The Triangle by Bractals (2017-09-21 10:49:12) |

| re: May I have a hint, please? by Bractals (2017-09-18 22:38:15) |

| re: May I have a hint, please? by Bractals (2017-09-12 11:39:34) |

Under Regular N-gon (in Geometry) Posted on 2017-07-09 (2 Comments) |

| re: Solution by Bractals (2017-07-10 07:25:50) |

Under Delian delight (in Geometry) Posted on 2017-06-04 (3 Comments) |

| Solution by Bractals (2017-06-05 18:13:40) |

Under It's obvious, but needs proof (in Just Math) Posted on 2017-03-15 (2 Comments) |

| Solution by Bractals (2017-03-17 15:17:05) |

Under Congruent Incircles (in Geometry) Posted on 2017-01-01 (6 Comments) |

| Construction of point D for any right triangle by Bractals (2017-01-07 12:15:30) |

| The title of my previous post should be "Full Solution" by Bractals (2017-01-01 11:04:38) |

| No Subject by Bractals (2017-01-01 11:00:32) |

Under It's all in the stars (in Just Math) Posted on 2016-12-14 (2 Comments) |

| Solution by Bractals (2016-12-14 13:15:45) |

Under Hardest easy geometry problem (in Geometry) Posted on 2016-11-04 (2 Comments) |

| Thoughts by Bractals (2016-11-16 15:31:08) |

Under Collinearity proof (in Geometry) Posted on 2016-10-01 (1 Comments) |

| Google Search by Bractals (2016-10-30 04:53:00) |

Under Area search (in Geometry) Posted on 2016-09-19 (2 Comments) |

| Shear Solution by Bractals (2016-09-19 13:25:12) |

Under Angle Ratio Ascertainment 6 (in Shapes) Posted on 2016-08-14 (2 Comments) |

| re: What am I missing? (spoiler) by Bractals (2016-08-17 09:07:13) |

Under Go for the midpoint (in Geometry) Posted on 2016-06-18 (3 Comments) |

| No Subject by Bractals (2016-06-18 09:37:41) |

Under Find Ratio from Crease (in Shapes) Posted on 2016-06-17 (2 Comments) |

| Solution by Bractals (2016-06-17 14:11:59) |

Under Angle Ratio Ascertainment 3 (in Shapes) Posted on 2016-05-22 (3 Comments) |

| Solution by Bractals (2016-05-22 20:19:56) |

| Question by Bractals (2016-05-22 08:33:51) |

Under Proof requested (in Geometry) Posted on 2016-04-14 (3 Comments) |

| "Complex" Solution by Bractals (2016-04-14 13:51:23) |

Under Cos Case Concern (in Shapes) Posted on 2015-12-06 (4 Comments) |

| Solution by Bractals (2015-12-06 15:46:04) |

Under Straightedge only (in Geometry) Posted on 2015-11-26 (1 Comments) |

| Solution by Bractals (2015-11-26 12:44:00) |

Under Sphere Intersections (in Geometry) Posted on 2015-11-11 (4 Comments) |

| re: My thinking on it. by Bractals (2015-11-11 16:05:27) |

| re: analytical solution by Bractals (2015-11-11 15:57:31) |

Under Triangle's bisector theorem (in Geometry) Posted on 2015-11-07 (2 Comments) |

| A Third Solution by Bractals (2015-11-09 13:25:56) |

| Solutions by Bractals (2015-11-07 11:53:19) |

Under Incircle Points (in Shapes) Posted on 2015-11-04 (1 Comments) |

| Solution by Bractals (2015-11-04 14:05:04) |

Under Quadrilateral Side Query (in Shapes) Posted on 2015-10-31 (1 Comments) |

| Solution by Bractals (2015-11-01 09:43:08) |

Under Generalizing (in Geometry) Posted on 2015-10-16 (2 Comments) |

| Solution by Bractals (2015-10-17 19:19:44) |

Under Tangent and Area Puzzle (in Shapes) Posted on 2015-08-01 (1 Comments) |

| Solution by Bractals (2015-08-01 11:17:35) |

Under Side Ratio Resolution (in Shapes) Posted on 2015-07-18 (4 Comments) |

| re(2): Solution by Bractals (2015-07-20 17:27:26) |

| Solution by Bractals (2015-07-19 17:28:02) |

Under Four Distinct Points (in Geometry) Posted on 2015-06-25 (1 Comments) |

| Just some thoughts by Bractals (2015-07-02 16:42:45) |

Under Three Centroids (in Geometry) Posted on 2015-05-28 (2 Comments) |

| Correction to Solution by Bractals (2015-05-29 21:27:14) |

Under A Midpoint Construction (in Geometry) Posted on 2015-05-15 (3 Comments) |

| re: Solution by Bractals (2015-05-18 18:13:38) |

Under Equality in pentagon (in Geometry) Posted on 2015-05-03 (1 Comments) |

| Solution by Bractals (2015-05-03 10:49:10) |

Under Acute Ascertainment (in Shapes) Posted on 2015-04-18 (3 Comments) |

| re: Solution by Bractals (2015-04-19 11:55:17) |

Under Chord Triangle Constant (in Geometry) Posted on 2015-03-21 (4 Comments) |

| re: Possible Solution by Bractals (2015-03-25 22:18:18) |

Under Location, location, location (in Geometry) Posted on 2015-03-12 (8 Comments) |

| Some Thoughts by Bractals (2015-03-13 03:09:50) |

Under Equilateral fun (in Geometry) Posted on 2015-02-28 (2 Comments) |

| Solution by Bractals (2015-03-01 11:17:33) |

Under Point Construction Ponder (in Shapes) Posted on 2015-02-25 (6 Comments) |

| re: Solution Expanded by Bractals (2015-02-27 11:05:37) |

| re: Solution by Bractals (2015-02-25 20:17:01) |

| Almost There by Bractals (2015-02-25 15:17:10) |

Under Volume Ratio Validation (in Shapes) Posted on 2015-01-18 (2 Comments) |

| re: Solution by Bractals (2015-01-22 15:57:27) |

Under A simple inequality (in Just Math) Posted on 2014-12-31 (4 Comments) |

| Solution by Bractals (2014-12-31 13:31:00) |

Under A symmetric relation (in Just Math) Posted on 2014-11-19 (5 Comments) |

| Solution by Bractals (2014-11-19 21:54:44) |

Under M-D Sequences (in Just Math) Posted on 2014-11-09 (3 Comments) |

| re(2): What am I missing? by Bractals (2014-11-09 12:36:24) |

| re: What am I missing? by Bractals (2014-11-09 12:12:16) |

Under Spacy Colors II (in General) Posted on 2014-10-26 (1 Comments) |

| Corrections to The Solution by Bractals (2015-06-07 10:25:31) |

Under Area Ascertainment II (in Shapes) Posted on 2014-10-24 (8 Comments) |

| re: Nice problem by Bractals (2014-10-25 03:55:19) |

| Solution by Bractals (2014-10-24 18:28:09) |

Under Conic Triangle (in Geometry) Posted on 2014-10-17 (3 Comments) |

| re: Stretching a point? by Bractals (2014-10-20 11:25:36) |

Under Hyperbola Axes Hinder (in Shapes) Posted on 2014-10-03 (7 Comments) |

| re(4): Solution. On 2nd thoughts by Bractals (2014-10-10 00:37:40) |

| re(3): Solution by Bractals (2014-10-07 22:01:23) |

| re(3): Solution by Bractals (2014-10-07 12:46:43) |

| re: Solution by Bractals (2014-10-06 20:14:22) |

Under n-dimensional spheres (in Just Math) Posted on 2014-09-15 (2 Comments) |

| re: The sequence, if my trig is right by Bractals (2014-09-15 09:57:27) |

Under 4 cents (in Shapes) Posted on 2014-09-12 (11 Comments) |

| Question by Bractals (2016-01-31 09:04:11) |

Under Circles at a point. (in Geometry) Posted on 2014-09-07 (3 Comments) |

| Solution by Bractals (2014-09-07 19:44:48) |

Under 3 cents (in Shapes) Posted on 2014-08-29 (3 Comments) |

| Solution by Bractals (2014-08-30 02:43:17) |

Under The Real Cyclic Quad (in Geometry) Posted on 2014-08-23 (2 Comments) |

| re: Part of it. by Bractals (2014-08-23 12:09:38) |

Under A tall tower (in Geometry) Posted on 2014-06-18 (6 Comments) |

| re: Solution - Spoiler by Bractals (2014-06-18 23:01:50) |

| Question by Bractals (2014-06-18 17:22:29) |

Under RMS Resolution (in Shapes) Posted on 2014-06-17 (2 Comments) |

| Solution by Bractals (2014-06-17 13:49:15) |

Under Harmonic Harmony (in Shapes) Posted on 2014-06-16 (1 Comments) |

| Solution by Bractals (2014-06-17 13:40:15) |

Under Three Line Segment Sum (in Geometry) Posted on 2014-05-31 (2 Comments) |

| re: Trig approach by Bractals (2014-06-07 23:55:07) |

Under Hexagon Brood (in Shapes) Posted on 2014-05-06 (2 Comments) |

| re: Solution, I think by Bractals (2014-05-06 15:50:48) |

Under Inscribed Circle (in Shapes) Posted on 2014-04-27 (2 Comments) |

| Solution by Bractals (2014-04-27 12:54:16) |

Under Divide in Half (in Geometry) Posted on 2014-03-07 (6 Comments) |

| re(4): Response to Solution by Bractals (2014-03-26 12:10:48) |

| re(2): Response to Solution by Bractals (2014-03-19 12:22:21) |

| Response to Solution by Bractals (2014-03-17 19:39:38) |

Under Bisection In a triangle (in Geometry) Posted on 2014-02-01 (1 Comments) |

| Vector Solution by Bractals (2014-02-02 17:09:06) |

Under 3 INCIRCLES (in Geometry) Posted on 2014-01-25 (1 Comments) |

| Solution by Bractals (2014-01-25 21:21:52) |

Under Incircles in equilateral triangles (in Geometry) Posted on 2014-01-18 (1 Comments) |

| Solution by Bractals (2014-01-23 05:08:06) |

Under On the same line (in Geometry) Posted on 2013-12-22 (3 Comments) |

| re: Solution by Bractals (2013-12-23 21:09:21) |

Under Similar Triangles (in Geometry) Posted on 2013-11-15 (10 Comments) |

| re(5): Argand - grand! by Bractals (2013-12-04 05:14:19) |

| re(3): Argand - grand! by Bractals (2013-12-03 17:39:31) |

| re: Argand - grand! by Bractals (2013-11-28 22:36:03) |

| re: Solution by Bractals (2013-11-24 14:59:58) |

Under Collinear and Equal Angles (in Geometry) Posted on 2013-11-09 (5 Comments) |

| See Harry's second post for "The Solution" by Bractals (2013-11-17 20:05:39) |

| re: Solution by Bractals (2013-11-14 01:26:09) |

Under SSS, SAS, ASA, and ... (in Geometry) Posted on 2013-10-02 (4 Comments) |

| re: First part of solution by Bractals (2013-10-04 05:38:06) |

Under Rectangle to Square (in Geometry) Posted on 2013-08-13 (9 Comments) |

| re(2): Full solution by Bractals (2013-08-16 13:47:57) |

Under Framing (in Geometry) Posted on 2013-07-16 (4 Comments) |

| Solution by Bractals (2013-07-18 10:55:00) |

Under Circles & Parabola (in Calculus) Posted on 2013-07-13 (5 Comments) |

| re: thoughts - Problem Correction by Bractals (2013-07-13 14:30:53) |

Under Concyclic Points of Tangency (in Geometry) Posted on 2013-07-02 (2 Comments) |

| re: Solution by Bractals (2013-07-04 14:29:19) |

Under Four Equal Triangles (in Geometry) Posted on 2013-06-16 (3 Comments) |

| re: Solution by Bractals (2013-06-17 13:56:07) |

Under Distance to Diagonal (in Geometry) Posted on 2013-05-14 (6 Comments) |

| Typo in problem statement by Bractals (2013-05-15 14:02:27) |

Under Triangle from Perimeter (in Geometry) Posted on 2013-05-04 (3 Comments) |

| re: Possible Solution by Bractals (2013-05-12 19:55:54) |

Under Midpoint problem (in Geometry) Posted on 2013-02-03 (2 Comments) |

| Some thoughts by Bractals (2013-02-03 16:16:12) |

Under Geometric Parabola (in Geometry) Posted on 2013-02-02 (6 Comments) |

| re(3): A note about the problem. by Bractals (2013-02-04 13:37:43) |

| re: A note about the problem. by Bractals (2013-02-03 15:50:03) |

Under Rhombus problem, with tangents and parallel (in Geometry) Posted on 2013-01-13 (1 Comments) |

| Solution by Bractals (2013-01-14 13:07:32) |

Under Square from four points (in Geometry) Posted on 2013-01-08 (5 Comments) |

| re: It's all relative (partial spoiler?) by Bractals (2013-01-08 18:47:14) |

Under Perpendicular (in Geometry) Posted on 2012-12-26 (5 Comments) |

| Analytic Solution by Bractals (2012-12-27 02:40:08) |

Under Phantom Spheres (in Geometry) Posted on 2012-12-22 (1 Comments) |

| Need Mathematica by Bractals (2012-12-24 16:45:12) |

Under Pyramid Maneuver (in Geometry) Posted on 2012-12-06 (4 Comments) |

| re: No trig soluiton by Bractals (2012-12-07 18:17:57) |

Under MAX octagonal area (in Shapes) Posted on 2012-11-28 (2 Comments) |

| Solution by Bractals (2012-11-28 16:38:18) |

Under Square in Square (in Geometry) Posted on 2012-11-17 (3 Comments) |

| Vector solution by Bractals (2012-11-18 19:02:57) |

Under Big B's theorem (in Geometry) Posted on 2012-10-14 (2 Comments) |

| Solution by Bractals (2012-10-14 19:04:43) |

Under Center to center (in Geometry) Posted on 2012-10-10 (3 Comments) |

| re(2): Solution by Bractals (2012-10-10 20:26:13) |

| Solution by Bractals (2012-10-10 15:08:08) |

Under Origamic III (in Shapes) Posted on 2012-10-07 (1 Comments) |

| Solution by Bractals (2012-10-08 20:09:52) |

Under Prove it, please (in Just Math) Posted on 2012-10-06 (3 Comments) |

| re: Solution by Bractals (2012-10-06 16:51:46) |

Under Pyramid Resolution (in Geometry) Posted on 2012-06-14 (2 Comments) |

| re: Solution by Bractals (2012-06-15 12:29:13) |

| Solution by Bractals (2012-06-15 01:14:35) |

Under Triangular Crease 789 (in Shapes) Posted on 2012-05-20 (7 Comments) |

| re(2): 6 solutions (unverified) Only 4 Work by Bractals (2012-05-22 18:40:38) |

| re(2): Geometer's Sketchpad Solution by Bractals (2012-05-22 01:53:27) |

| Geometer's Sketchpad Solution by Bractals (2012-05-21 02:08:59) |

Under A Trisected Angle and the Opposing Side (in Geometry) Posted on 2012-04-22 (1 Comments) |

| Part 2 then Part 1 by Bractals (2012-04-22 17:57:41) |

Under Origamic II (in Shapes) Posted on 2012-03-18 (1 Comments) |

| Solution by Bractals (2012-03-18 13:24:13) |

Under Build a triangle. (in Geometry) Posted on 2012-03-15 (1 Comments) |

| Solution by Bractals (2012-03-15 12:45:48) |

Under Locus of Intersections (in Geometry) Posted on 2012-03-09 (4 Comments) |

| re: Initital exploration by Bractals (2012-03-09 15:09:04) |

Under Regular Tetrahedron 1234 (in Shapes) Posted on 2012-03-08 (8 Comments) |

| re(3): Is it possible? by Bractals (2012-03-08 18:22:18) |

| re: Is it possible? by Bractals (2012-03-08 14:24:58) |

Under Midpoint Areas (in Geometry) Posted on 2012-02-18 (2 Comments) |

| re: Possible solution by Bractals (2012-02-19 14:07:11) |

Under Logical connectives (in Algorithms) Posted on 2012-01-24 (6 Comments) |

| NOR by Bractals (2012-01-24 16:27:58) |

Under Another folded paper (in Shapes) Posted on 2012-01-03 (1 Comments) |

| Solution by Bractals (2012-01-03 13:23:18) |

Under Orthogonal Tangents (in Geometry) Posted on 2011-11-30 (2 Comments) |

| re: solution by Bractals (2011-12-01 17:11:27) |

Under Angle of view - Ellipse and Hyperbola (in Just Math) Posted on 2011-11-24 (7 Comments) |

| re(3): An asymptotic view (spoiler) by Bractals (2011-11-27 01:48:06) |

| Further Thought by Bractals (2011-11-26 05:13:04) |

| re: An asymptotic view (spoiler) by Bractals (2011-11-26 04:58:40) |

| Solution - Proof upon request. by Bractals (2011-11-24 14:28:58) |

Under Angle of view - Parabola (in Geometry) Posted on 2011-11-13 (2 Comments) |

| Solution by Bractals (2011-11-13 12:47:43) |

Under Concerning combinatorics (in Numbers) Posted on 2011-10-04 (7 Comments) |

| re: 1 step further. Not commutative. by Bractals (2011-10-07 07:30:00) |

| Result explaned - No Proof by Bractals (2011-10-04 12:56:56) |

Under As easy as abc (in Just Math) Posted on 2011-06-28 (10 Comments) |

| My Attempt by Bractals (2011-06-30 14:45:27) |

Under Concurrent Cevians (in Geometry) Posted on 2011-05-03 (3 Comments) |

| re: with different givens by Bractals (2011-05-04 12:28:10) |

Under Lattice Point as Centroid (in Geometry) Posted on 2011-04-10 (8 Comments) |

| Typo in solution by Bractals (2011-04-11 14:03:20) |

Under Incenter Assignment (in Geometry) Posted on 2011-03-23 (4 Comments) |

| re: Solution. Hope this makes sense. by Bractals (2011-03-23 16:12:28) |

Under Find the area (in Geometry) Posted on 2011-02-09 (4 Comments) |

| re: Solution by Bractals (2011-02-10 18:33:34) |

| Solution by Bractals (2011-02-09 19:02:24) |

Under e^(e^x) (in Calculus) Posted on 2011-02-08 (5 Comments) |

| Solution by Bractals (2011-02-08 16:17:36) |

Under Divide Into Four (in Geometry) Posted on 2010-12-02 (3 Comments) |

| re: Another Approach by Bractals (2010-12-03 17:18:52) |

Under Angle in a square (in Geometry) Posted on 2010-11-16 (5 Comments) |

| Angle Symbol by Bractals (2010-11-17 14:51:56) |

| Solution by Bractals (2010-11-16 21:02:56) |

Under Length of Angle Bisector (in Geometry) Posted on 2010-11-07 (3 Comments) |

| Trig. Solution by Bractals (2010-11-07 22:21:55) |

| Solution by Bractals (2010-11-07 14:15:50) |

Under Equilateral Right Angle Locus (in Geometry) Posted on 2010-10-25 (2 Comments) |

| Solution by Bractals (2010-10-25 15:27:55) |

Under Tri-Similarity (in Geometry) Posted on 2010-10-17 (10 Comments) |

| re(8): Question? by Bractals (2010-10-19 01:08:26) |

| re(5): Question? by Bractals (2010-10-18 15:59:52) |

| re(3): Question? by Bractals (2010-10-18 14:27:16) |

| re: Question? by Bractals (2010-10-17 23:57:48) |

Under Distance = Inradius (in Geometry) Posted on 2010-10-14 (1 Comments) |

| Solution by Bractals (2010-10-14 15:43:33) |

Under Equal Tangents (in General) Posted on 2010-10-03 (11 Comments) |

| re: Algebraic solution by Bractals (2010-10-03 14:39:12) |

Under Lamps in a row (in Geometry) Posted on 2010-09-03 (11 Comments) |

| How problem was modified by Bractals (2010-09-04 01:49:20) |

| re: Almost proved: two gaps by Bractals (2010-09-03 20:10:34) |

| re: question by Bractals (2010-09-03 14:31:13) |

Under Perpendicular Concurrency Concern (in Geometry) Posted on 2010-08-08 (3 Comments) |

| re: Solution by Bractals (2010-08-28 14:19:36) |

Under The Garden of Pythagoras (in Geometry) Posted on 2010-08-03 (15 Comments) |

| Computer Solution by Bractals (2010-08-03 22:49:30) |

Under Bicentric Trapezoids (in Geometry) Posted on 2010-07-24 (1 Comments) |

| Solution by Bractals (2010-07-24 12:45:46) |

Under Vertex on a Line (in Geometry) Posted on 2010-07-11 (4 Comments) |

| re: Is this right? (spoiler) by Bractals (2010-07-12 18:20:43) |

Under Cross the Circle (in Geometry) Posted on 2010-05-23 (3 Comments) |

| Solution by Bractals (2010-05-23 20:56:04) |

Under Minimal distance from a point inside a triangle to vertices. (in Geometry) Posted on 2010-05-22 (2 Comments) |

| Solution by Bractals (2010-05-22 16:40:10) |

Under Constructing Minimal Area (in Geometry) Posted on 2010-05-13 (5 Comments) |

| re: Minimal solution? by Bractals (2010-05-15 23:05:27) |

| re(2): Solution by Bractals (2010-05-14 18:22:18) |

| Solution by Bractals (2010-05-13 12:55:53) |

Under Decagon and Dodecagon Areas (in Geometry) Posted on 2010-05-11 (3 Comments) |

| Solution by Bractals (2010-05-12 17:06:50) |

Under Simple properties of reflections in ellipse. (in Geometry) Posted on 2010-05-05 (5 Comments) |

| re: Fifth of May, 2010. by Bractals (2010-05-06 16:42:22) |

| Analytic Solution by Bractals (2010-05-05 11:37:38) |

Under Triangle inscribed in a triangle with smallest perimeter. (in Geometry) Posted on 2010-04-25 (3 Comments) |

| Solution by Bractals (2010-04-25 15:03:17) |

Under Triangle Divided (in Geometry) Posted on 2010-04-15 (8 Comments) |

| re: Approach. by Bractals (2010-04-16 08:12:58) |

Under Minimal area. (in Geometry) Posted on 2010-03-29 (11 Comments) |

| Solution by Bractals (2010-03-30 23:17:18) |

| re(2): Thoughts by Bractals (2010-03-30 19:57:51) |

| Thoughts by Bractals (2010-03-30 06:07:48) |

Under Pythagoras knew it!! (in Numbers) Posted on 2010-03-05 (5 Comments) |

| Solution by Bractals (2010-03-05 18:11:49) |

Under The ice cream cone (in Just Math) Posted on 2010-03-01 (2 Comments) |

| Solution by Bractals (2010-03-01 16:14:57) |

Under Cantilever Structure (in Science) Posted on 2010-02-26 (6 Comments) |

| re: Soultion (spoiler) by Bractals (2010-02-27 06:35:01) |

Under Drop into the Bucket (in Shapes) Posted on 2010-02-03 (9 Comments) |

| Solution by Bractals (2010-02-03 14:40:17) |

Under Right Triangles (in Geometry) Posted on 2010-01-22 (4 Comments) |

| re: Thank you Descartes. 3 solutions. by Bractals (2010-01-22 18:07:31) |

Under Kissing a Cycloid (in Geometry) Posted on 2010-01-04 (11 Comments) |

| re: Improved Solution by Bractals (2010-01-13 16:58:34) |

| re(2): Solution by Bractals (2010-01-11 18:01:08) |

Under Delicate Derivative Derivation (in Calculus) Posted on 2009-12-18 (2 Comments) |

| Solution by Bractals (2009-12-18 13:51:20) |

Under 5 points to convex quad (in Shapes) Posted on 2009-10-05 (4 Comments) |

| Solution by Bractals (2009-10-05 16:25:50) |

Under Floating Tangent (in Geometry) Posted on 2009-10-02 (2 Comments) |

| Solution by Bractals (2009-10-03 14:51:58) |

Under Fixed length from unit square. (in Shapes) Posted on 2009-10-01 (3 Comments) |

| Solution by Bractals (2009-10-01 14:41:27) |

Under The Shadow in a Sphere (in Shapes) Posted on 2009-08-19 (7 Comments) |

| Solution by Bractals (2009-08-19 18:14:21) |

Under Collinear intersections (in Geometry) Posted on 2009-07-13 (3 Comments) |

| re: proof by Bractals (2009-07-14 01:16:25) |

Under Circumcircle and Incircle (in Just Math) Posted on 2009-05-26 (4 Comments) |

| Solution by Bractals (2009-05-26 13:36:54) |

Under Mirrors in a Hex (in Geometry) Posted on 2009-05-08 (1 Comments) |

| Solution by Bractals (2009-05-08 15:03:37) |

Under The Hare and Tortoise Rematch (in General) Posted on 2009-03-26 (15 Comments) |

| re(3): Complete solution (spreadsheet explanation) by Bractals (2009-04-01 12:52:45) |

| re(3): Complete solution (spreadsheet explanation) by Bractals (2009-03-27 20:38:58) |

| re: Complete solution by Bractals (2009-03-27 12:15:43) |

Under Triangle Area (in Geometry) Posted on 2008-11-28 (11 Comments) |

| Full Solution by Bractals (2008-12-01 13:19:45) |

| Solution by Bractals (2008-12-01 08:22:10) |

Under maximum square folding (in Geometry) Posted on 2008-10-16 (2 Comments) |

| Solution by Bractals (2008-10-16 15:36:53) |

Under Always equilateral (in Geometry) Posted on 2008-10-14 (5 Comments) |

| Solution by Bractals (2008-10-14 15:52:10) |

Under Trisecting an angle (in Geometry) Posted on 2008-08-24 (7 Comments) |

| Solution by Bractals (2008-08-24 14:25:47) |

Under Minimum area of a triangle (in Just Math) Posted on 2008-07-30 (10 Comments) |

| re(4): Computer Solution by Bractals (2008-07-31 05:53:53) |

| My Perl Program by Bractals (2008-07-30 19:20:49) |

| Computer Solution by Bractals (2008-07-30 13:31:57) |

Under Absolutely Different (in Calculus) Posted on 2008-07-24 (5 Comments) |

| re(2): Some Thoughts by Bractals (2008-07-24 18:33:32) |

| Some Thoughts by Bractals (2008-07-24 12:14:16) |

Under Sliding blocks (in Science) Posted on 2008-06-29 (1 Comments) |

| Solution (No Explanation) by Bractals (2008-07-01 18:50:29) |

Under Mutually Perpendicular Medians (in Geometry) Posted on 2008-06-14 (4 Comments) |

| Solution by Bractals (2008-06-15 03:30:38) |

Under Four cars (in Just Math) Posted on 2008-06-09 (6 Comments) |

| Solution by Bractals (2008-06-09 18:37:04) |

Under Construct a Square (in Geometry) Posted on 2008-05-29 (5 Comments) |

| re(2): Clarification by Bractals (2008-05-30 21:18:38) |

| Clarification by Bractals (2008-05-30 09:41:12) |

Under Orthogonal Circle (in Geometry) Posted on 2008-05-25 (4 Comments) |

| re: An answer by Bractals (2008-05-25 15:54:16) |

Under Trapezoid Proof (in Geometry) Posted on 2008-04-17 (4 Comments) |

| Solution by Bractals (2008-04-17 13:01:22) |

Under Congruent Incircles (in Geometry) Posted on 2008-04-11 (4 Comments) |

| re: Cevian! Lost! by Bractals (2008-04-18 14:06:55) |

Under Shape Invariant (in Shapes) Posted on 2008-03-31 (2 Comments) |

| Tautology by Bractals (2008-03-31 14:05:25) |

Under Triangulation of Numbers (in Geometry) Posted on 2008-03-18 (6 Comments) |

| Solution by Bractals (2008-03-18 10:45:53) |

Under Tangent with Straightedge (in Geometry) Posted on 2008-03-13 (8 Comments) |

| re: No Subject by Bractals (2008-03-13 13:53:27) |

Under Quadrilateral Concurrency (in Geometry) Posted on 2008-03-06 (6 Comments) |

| PROBLEM CLARIFICATION by Bractals (2008-03-09 16:00:00) |

| re(3): Can you provide insight? by Bractals (2008-03-09 04:50:35) |

| re: Can you provide insight? by Bractals (2008-03-08 14:42:32) |

Under Truncated Cube (in Shapes) Posted on 2008-02-14 (11 Comments) |

| Solution by Bractals (2008-02-14 22:00:42) |

| re(2): Solution by Bractals (2008-02-14 18:25:18) |

Under Angle Bisectors (in Geometry) Posted on 2008-02-11 (5 Comments) |

| AE = 2BD implies B = 90 degrees by Bractals (2008-02-12 16:11:40) |

| re(2): Solution by Bractals (2008-02-11 20:47:24) |

| Solution by Bractals (2008-02-11 13:41:41) |

Under Center of Gravity (in Geometry) Posted on 2008-02-06 (7 Comments) |

| re: Solution ??? by Bractals (2008-02-07 13:10:29) |

Under Median Maximum (in Geometry) Posted on 2008-02-03 (3 Comments) |

| Solution by Bractals (2008-02-03 12:13:42) |

Under Eight Points (in Geometry) Posted on 2008-02-01 (28 Comments) |

| re(2): Summary? by Bractals (2008-02-03 12:06:04) |

| re(3): Solution by Bractals (2008-02-02 04:53:35) |

| re(3): Solution by Bractals (2008-02-01 15:40:01) |

| re: Solution by Bractals (2008-02-01 13:41:20) |

| re: Solution by Bractals (2008-02-01 13:34:43) |

Under Primitive Pythagorean Triangles (in Geometry) Posted on 2008-01-26 (3 Comments) |

| re: solution by Bractals (2008-01-26 17:00:04) |

Under Circle And Intersection (in Geometry) Posted on 2008-01-25 (6 Comments) |

| Solution by Bractals (2008-01-29 17:30:11) |

Under Given Ratio, Find Sum (in Just Math) Posted on 2008-01-21 (5 Comments) |

| re(2): Solution by Bractals (2008-01-22 15:10:46) |

| Solution by Bractals (2008-01-21 11:57:33) |

Under Acutely Seeking Product (in Geometry) Posted on 2008-01-20 (1 Comments) |

| Solution by Bractals (2008-01-20 15:42:33) |

Under Two Circles And Maximum Triangle (in Geometry) Posted on 2008-01-11 (6 Comments) |

| Solution by Bractals (2008-01-11 12:33:02) |

Under Focusing Upon The Maximum (in Geometry) Posted on 2007-12-31 (2 Comments) |

| Solution by Bractals (2007-12-31 12:26:12) |

Under Absolutely Geometric (in Geometry) Posted on 2007-12-21 (6 Comments) |

| Solution by Bractals (2007-12-21 15:09:56) |

Under Cyclic Hexagon And Ratio (in Geometry) Posted on 2007-12-08 (6 Comments) |

| Solution if |UP| = |QR| by Bractals (2007-12-10 14:01:55) |

| Thoughts by Bractals (2007-12-09 03:45:26) |

Under Inradius And Consecutive Sides (in Geometry) Posted on 2007-12-06 (4 Comments) |

| Solution by Bractals (2007-12-06 11:43:01) |

Under Empower And Reciprocate (in Calculus) Posted on 2007-11-24 (8 Comments) |

| re(4): Switching integral! - format only by Bractals (2007-11-25 13:35:39) |

Under Sum Reciprocal Lengths (in Geometry) Posted on 2007-11-17 (6 Comments) |

| Solution by Bractals (2007-11-18 02:23:37) |

Under Getting To PC With A Circle (in Geometry) Posted on 2007-11-10 (9 Comments) |

| Solution by Bractals (2007-11-10 20:40:18) |

Under Quadrilateral With A Difference (in Geometry) Posted on 2007-11-08 (3 Comments) |

| Solution by Bractals (2007-11-08 14:20:06) |

Under (Ortho)Centrally Seeking Length (in Geometry) Posted on 2007-11-06 (3 Comments) |

| re(2): Solution by Bractals (2007-11-06 20:08:47) |

| Solution by Bractals (2007-11-06 12:37:20) |

Under Seeking The Angle (in Geometry) Posted on 2007-10-29 (4 Comments) |

| Solution by Bractals (2007-10-29 12:04:57) |

Under Incenter and a Circumcircle (in Geometry) Posted on 2007-10-28 (6 Comments) |

| re: Dynamic 'javascript' diagram by Bractals (2007-11-09 10:06:48) |

Under Sum Adjacent Lengths (in Geometry) Posted on 2007-10-21 (1 Comments) |

| Solution by Bractals (2007-10-21 14:02:43) |

Under Acute triangle, Trigonometric function! (in Just Math) Posted on 2007-10-13 (9 Comments) |

| Solution by Bractals (2007-10-15 05:41:03) |

| Hint by Bractals (2007-10-13 19:41:08) |

Under Seeking Sums With Inradius And Exradius (in Geometry) Posted on 2007-10-08 (4 Comments) |

| Problem Generalization by Bractals (2007-10-08 23:00:26) |

| Solution by Bractals (2007-10-08 14:26:24) |

Under Convex Quadrilateral And Intersection (in Geometry) Posted on 2007-10-03 (8 Comments) |

| Solution by Bractals (2007-10-03 12:26:50) |

Under Given Common Vertex, Find Area (in Geometry) Posted on 2007-09-30 (3 Comments) |

| Solution by Bractals (2007-09-30 19:00:52) |

Under Rationalizing Decimals (in Numbers) Posted on 2007-09-26 (8 Comments) |

| Solution by Bractals (2007-09-26 12:52:24) |

Under Tangent And Geometric Sequence (in Geometry) Posted on 2007-09-21 (2 Comments) |

| re: I'm confused by Bractals (2007-09-21 20:19:13) |

Under Equilateral Triangle 123 (in Shapes) Posted on 2007-09-05 (3 Comments) |

| Solution by Bractals (2007-09-05 10:43:23) |

Under Slice a Circle to fit a Rectangle (in Shapes) Posted on 2007-08-22 (10 Comments) |

| Part Three Analysis by Bractals (2007-08-24 16:43:17) |

| Part Three Results by Bractals (2007-08-24 15:59:53) |

| re(3): computer exploration of part 3 by Bractals (2007-08-23 23:55:48) |

| Part Two Solution by Bractals (2007-08-22 12:49:09) |

| Part One Solution by Bractals (2007-08-22 12:42:24) |

Under Find the Ratio (in Geometry) Posted on 2007-08-20 (3 Comments) |

| Solution by Bractals (2007-08-20 11:23:46) |

Under Take The Midpoints, Get Equilateral? (in Geometry) Posted on 2007-08-01 (4 Comments) |

| Solution by Bractals (2007-08-02 03:48:07) |

Under Take Two Incircles, Get Cyclic Quadrilateral? (in Geometry) Posted on 2007-07-28 (1 Comments) |

| Solution by Bractals (2007-07-28 22:09:13) |

Under Take Perpendicular Distances, Get One Side (in Geometry) Posted on 2007-07-08 (4 Comments) |

| Solution by Bractals (2007-07-08 20:33:15) |

Under Take Unit Length, Get PR (in Geometry) Posted on 2007-06-17 (2 Comments) |

| Solution by Bractals (2007-06-17 13:26:44) |

Under Equal Maxes (in Calculus) Posted on 2007-06-12 (6 Comments) |

| Solution by Bractals (2007-06-12 13:19:27) |

Under Find GM, Get One Side? (in Geometry) Posted on 2007-06-11 (4 Comments) |

| Solution by Bractals (2007-06-11 12:49:11) |

Under Two Trains (in Just Math) Posted on 2007-05-05 (4 Comments) |

| Solution by Bractals (2007-05-05 11:26:22) |

Under A Parallelogram Puzzle (in Geometry) Posted on 2007-05-01 (5 Comments) |

| Solution by Bractals (2007-05-01 12:50:29) |

Under Take Second Degree, Solve For Real (in Just Math) Posted on 2007-04-27 (4 Comments) |

| re: Solution by Bractals (2007-04-27 20:10:32) |

| Solution by Bractals (2007-04-27 12:05:06) |

Under Matrix Identity (in Just Math) Posted on 2007-04-26 (8 Comments) |

| Solution by Bractals (2007-04-26 13:02:54) |

Under A Near Diophantine Octagon Problem (in Geometry) Posted on 2007-04-22 (10 Comments) |

| re(7): Solution by Bractals (2007-04-26 13:43:02) |

| re(5): Solution by Bractals (2007-04-25 13:36:30) |

| re(3): Solution by Bractals (2007-04-24 13:23:57) |

| re: Solution by Bractals (2007-04-23 13:47:11) |

| Analytic/Synthetic Solution by Bractals (2007-04-22 14:36:52) |

Under Inscribe Quadrilateral, Get Diophantus (in Geometry) Posted on 2007-04-09 (1 Comments) |

| Solution by Bractals (2007-04-09 20:42:12) |

Under An Incentre Problem (in Geometry) Posted on 2007-04-02 (1 Comments) |

| Solution by Bractals (2007-04-02 16:44:03) |

Under Appropriate Area (in Numbers) Posted on 2007-03-21 (4 Comments) |

| Solution by Bractals (2007-03-21 21:17:25) |

Under Subtract Half, Get GI? (in Calculus) Posted on 2007-03-20 (2 Comments) |

| Solution by Bractals (2007-03-21 09:58:20) |

Under Further Geometric Numbers (2) (in Numbers) Posted on 2007-03-19 (4 Comments) |

| Solution by Bractals (2007-03-19 13:07:28) |

Under The Cross in the Trapezoid (in Geometry) Posted on 2007-03-03 (3 Comments) |

| Solution by Bractals (2007-03-03 14:54:28) |

Under Painted Sphere (in Geometry) Posted on 2007-02-13 (9 Comments) |

| re(3): Solution by Bractals (2007-02-14 15:40:24) |

| re: Solution by Bractals (2007-02-14 13:16:25) |

| re: Simplify by Bractals (2007-02-13 17:06:00) |

Under Three surfaces, one real point? (in Just Math) Posted on 2007-02-07 (3 Comments) |

| Solution by Bractals (2007-02-10 12:17:44) |

Under Internal Triangle Problem (in Geometry) Posted on 2007-02-02 (4 Comments) |

| Solution by Bractals (2007-02-02 12:15:06) |

Under Arithmetic Progression Triangle (in Geometry) Posted on 2007-01-28 (5 Comments) |

| re: solution by Bractals (2007-01-31 11:53:22) |

| re: solution by Bractals (2007-01-30 15:13:14) |

Under Two Obtuse Angles (in Probability) Posted on 2007-01-27 (4 Comments) |

| Solution by Bractals (2007-01-27 17:08:01) |

Under Real and Complex (in Just Math) Posted on 2007-01-23 (4 Comments) |

| Solution by Bractals (2007-01-23 15:32:50) |

Under A Vanishing Polynomial Problem (in Calculus) Posted on 2007-01-17 (2 Comments) |

| Solution by Bractals (2007-01-17 12:52:16) |

Under Three Altitudes (in Geometry) Posted on 2007-01-15 (3 Comments) |

| Solution by Bractals (2007-01-15 17:43:05) |

Under An inscribed circle problem (in Geometry) Posted on 2006-12-31 (2 Comments) |

| Solution by Bractals (2006-12-31 12:23:31) |

Under An Odd Function (in Just Math) Posted on 2006-12-28 (18 Comments) |

| re(4): A final input by Bractals (2006-12-30 11:46:27) |

| re(2): A final input by Bractals (2006-12-29 23:52:02) |

| re(2): A final input by Bractals (2006-12-29 21:28:17) |

Under Mean Quest (in General) Posted on 2006-12-10 (15 Comments) |

| re(4): Question. by Bractals (2006-12-10 13:31:08) |

| Solution for Integer Scores by Bractals (2006-12-10 13:23:43) |

| re(2): Question. by Bractals (2006-12-10 13:18:26) |

| Question. by Bractals (2006-12-10 13:05:16) |

Under The Day of the Locus (in Shapes) Posted on 2006-12-07 (2 Comments) |

| Solution by Bractals (2006-12-07 10:30:49) |

Under Geometric calculator (in Geometry) Posted on 2006-11-24 (3 Comments) |

| Solution by Bractals (2006-11-24 10:42:24) |

Under Further Geometric Numbers (in Just Math) Posted on 2006-11-24 (1 Comments) |

| Solution by Bractals (2006-11-24 06:56:50) |

Under A Biquadratic Polynomial Problem (in Just Math) Posted on 2006-11-20 (3 Comments) |

| Solution by Bractals (2006-11-20 15:40:33) |

Under 'Perfect Oval' (in Geometry) Posted on 2006-11-18 (5 Comments) |

| re: Notes re solution by Bractals (2006-11-29 05:36:31) |

| Solution by Bractals (2006-11-18 17:28:31) |

Under The Fix Is In (in Just Math) Posted on 2006-11-17 (12 Comments) |

| re(2): Solution by Bractals (2006-11-17 18:01:24) |

| Solution by Bractals (2006-11-17 14:24:02) |

Under Circular map (in Geometry) Posted on 2006-11-15 (29 Comments) |

| re(7): Full Proof by Bractals (2006-12-19 00:49:38) |

| re(5): Full Proof by Bractals (2006-12-18 12:53:22) |

| re(3): Full Proof by Bractals (2006-12-17 15:35:08) |

| re: Full Proof by Bractals (2006-12-15 18:15:42) |

| Family of Circles by Bractals (2006-11-24 10:53:29) |

| Question for JLo by Bractals (2006-11-16 17:37:48) |

| A thought by Bractals (2006-11-15 18:48:19) |

Under Ceremonial Stones (in Weights and Scales) Posted on 2006-11-14 (26 Comments) |

| re: Rebuttal by Bractals (2008-02-08 14:09:11) |

| re: That's peculiar by Bractals (2008-02-03 12:45:22) |

| re: A computer exploration -- solution??? by Bractals (2006-11-15 03:15:02) |

| re(3): upper limit by Bractals (2006-11-15 03:07:33) |

| re: upper limit by Bractals (2006-11-14 22:13:33) |

| re: At least 109 years by Bractals (2006-11-14 18:07:48) |

Under Nets, Sectors and Cones (in Geometry) Posted on 2006-11-12 (2 Comments) |

| Solution by Bractals (2006-11-12 15:30:15) |

Under Hoop Dreams (in Science) Posted on 2006-11-10 (2 Comments) |

| First Cut at Solution by Bractals (2006-11-10 15:27:52) |

Under Angle Trisection (in Geometry) Posted on 2006-11-09 (6 Comments) |

| re: I must be dense... by Bractals (2006-11-28 22:23:50) |

Under Mister Resistor (in Science) Posted on 2006-11-03 (7 Comments) |

| Solution by Bractals (2006-11-03 10:00:46) |

Under A Perimeter Puzzle (in Geometry) Posted on 2006-10-31 (2 Comments) |

| Solution by Bractals (2006-10-31 10:21:15) |

Under On Target (in Geometry) Posted on 2006-10-09 (6 Comments) |

| re: correction made to problem by Bractals (2006-10-10 11:27:30) |

| Solution by Bractals (2006-10-09 20:59:54) |

Under Cutting polygons (in Shapes) Posted on 2006-09-24 (9 Comments) |

| re(2): spoiler by Bractals (2006-09-26 16:11:24) |

Under Commutative Group (in Just Math) Posted on 2006-09-18 (8 Comments) |

| re(2): Counting elements by Bractals (2006-09-19 16:33:19) |

| re: Lagrange Argument by Bractals (2006-09-18 18:31:45) |

| re: No thinking, only researching by Bractals (2006-09-18 11:57:15) |

Under divisible by 11? (in Numbers) Posted on 2006-09-04 (17 Comments) |

| re(6): Replace '10' by n by Bractals (2006-09-05 10:16:00) |

| re(4): Replace '10' by n by Bractals (2006-09-05 00:32:58) |

| re(2): Replace '10' by n by Bractals (2006-09-04 19:43:31) |

| Replace '10' by n by Bractals (2006-09-04 16:01:57) |

Under Spacy colors (in Just Math) Posted on 2006-08-25 (10 Comments) |

| re(2): Solution (Some details required) by Bractals (2006-08-28 16:17:34) |

| re(2): Solution (Some details required) by Bractals (2006-08-27 20:13:52) |

| Solution (Some details required) by Bractals (2006-08-25 17:23:07) |

Under Weird function challenge (in Calculus) Posted on 2006-08-15 (33 Comments) |

| re(3): Uncle! (1st condition satisfied) by Bractals (2006-08-18 11:25:20) |

| re: Uncle! by Bractals (2006-08-16 11:42:33) |

Under Circular Logic III (in Geometry) Posted on 2006-08-09 (3 Comments) |

| re: can this be simplified? -- spoiler by Bractals (2006-08-09 13:30:22) |

Under Sign of a Permutation (in Algorithms) Posted on 2006-08-05 (11 Comments) |

| Solution by Bractals (2006-08-05 16:14:10) |

Under Object sliding (in Science) Posted on 2006-08-01 (8 Comments) |

| Solution by Bractals (2006-08-01 22:06:57) |

Under Cube first, or square second (in Numbers) Posted on 2006-07-22 (7 Comments) |

| re(2): Solution by Bractals (2006-07-22 22:54:55) |

| Solution by Bractals (2006-07-22 12:44:06) |

| re: A bet by Bractals (2006-07-22 09:39:17) |

Under A Cute Triangle (in Geometry) Posted on 2006-07-21 (4 Comments) |

| Solution by Bractals (2006-07-21 09:47:37) |

Under Polyhedra construction (in Shapes) Posted on 2006-07-17 (4 Comments) |

| Solution by Bractals (2006-07-17 12:21:44) |

Under Further Arithmetic Integers (in Numbers) Posted on 2006-06-27 (10 Comments) |

| re(2): Solution by Bractals (2006-06-28 10:53:32) |

| re(2): Solution by Bractals (2006-06-28 10:32:38) |

| Solution by Bractals (2006-06-27 21:01:09) |

Under A Time And Work Problem (in General) Posted on 2006-06-25 (2 Comments) |

| Solution by Bractals (2006-06-25 12:26:35) |

Under Integer Triangles (in Geometry) Posted on 2006-06-21 (5 Comments) |

| Solution addendum by Bractals (2006-06-23 13:02:44) |

Under Four Congruent Circles (in Geometry) Posted on 2006-06-14 (5 Comments) |

| re: If this is what is meant then this is a solution by Bractals (2006-06-14 18:33:02) |

Under The Maypole Problem 2 (in Geometry) Posted on 2006-06-12 (3 Comments) |

| Solution by Bractals (2006-06-12 10:33:51) |

Under Patent Medicine (in Shapes) Posted on 2006-06-05 (2 Comments) |

| Solution by Bractals (2006-06-05 14:08:17) |

Under An Astute Evaluation (in Geometry) Posted on 2006-05-17 (2 Comments) |

| Solution by Bractals (2006-05-17 11:40:50) |

Under Find 'K' (in Just Math) Posted on 2006-05-15 (3 Comments) |

| Solution by Bractals (2006-05-16 18:18:26) |

Under Find the value of ...... (in Just Math) Posted on 2006-05-14 (6 Comments) |

| Solution by Bractals (2006-05-14 18:14:12) |

Under Garden Path (in Geometry) Posted on 2006-05-10 (11 Comments) |

| Solution by Bractals (2006-05-10 15:00:31) |

Under A Maypole Problem (in Geometry) Posted on 2006-05-01 (7 Comments) |

| Solution by Bractals (2006-05-01 15:33:54) |

Under Complex Reflection (in Geometry) Posted on 2006-04-19 (3 Comments) |

| Solution Correction by Bractals (2006-04-27 16:08:45) |

Under Wreck out! (in Algorithms) Posted on 2006-04-03 (6 Comments) |

| Solution by Bractals (2006-04-03 14:47:02) |

Under Bouncy Bouncy revisited (in Just Math) Posted on 2006-03-23 (1 Comments) |

| Solution by Bractals (2006-03-23 21:40:57) |

Under Rotating slopes (in Just Math) Posted on 2006-03-21 (5 Comments) |

| re(2): Solution - how do you use it? by Bractals (2006-03-22 17:59:09) |

| Solution by Bractals (2006-03-21 16:39:26) |

Under Simple Origami? (in Shapes) Posted on 2006-03-07 (8 Comments) |

| Forest and Trees by Bractals (2006-03-11 22:39:30) |

| re: refining the answer-computer solution by Bractals (2006-03-08 04:41:52) |

Under Angle ABC (in Geometry) Posted on 2006-02-25 (13 Comments) |

| re(3): Solution - This is how long it took me: by Bractals (2006-02-25 18:20:55) |

| Solution by Bractals (2006-02-25 11:18:25) |

Under Inversion Distance (in Geometry) Posted on 2006-02-21 (32 Comments) |

| re(3): Note to Bractals by Bractals (2006-02-25 12:08:38) |

| re: Note to Bractals by Bractals (2006-02-24 01:39:21) |

Under Bouncy Bouncy part 2 (in Calculus) Posted on 2006-02-10 (14 Comments) |

| re(2): Some Thoughts by Bractals (2006-02-14 18:42:17) |

| Some Thoughts by Bractals (2006-02-13 21:16:49) |

| re: solution -- barring any mistakes along the way by Bractals (2006-02-11 17:59:02) |

Under Bouncy Bouncy Part 1 (in Geometry) Posted on 2006-02-08 (10 Comments) |

| Geometric Solution by Bractals (2006-02-09 21:28:04) |

| re: your solutions are all to complicated by Bractals (2006-02-09 14:08:24) |

| Solution by Bractals (2006-02-08 12:27:29) |

Under A cute little angle to find (in Geometry) Posted on 2006-01-18 (7 Comments) |

| re(2): Solution - Derivation by Bractals (2006-01-19 11:37:43) |

| Solution by Bractals (2006-01-18 16:56:42) |

Under D on its side (in Shapes) Posted on 2006-01-16 (13 Comments) |

| re(2): Solution by Bractals (2006-01-17 11:00:49) |

| Solution by Bractals (2006-01-17 01:43:39) |

| Possible solution by Bractals (2006-01-16 22:41:51) |

Under Two squares (in Shapes) Posted on 2006-01-05 (7 Comments) |

| re(4): Solution by Bractals (2006-01-07 12:13:32) |

| re(2): Solution by Bractals (2006-01-05 18:19:46) |

| Solution by Bractals (2006-01-05 14:04:12) |

Under Isosceles Trapezoid (in Geometry) Posted on 2006-01-02 (3 Comments) |

| Solution by Bractals (2006-01-02 12:25:56) |

Under Unknown Polynomials (in Just Math) Posted on 2005-12-23 (5 Comments) |

| Solution by Bractals (2005-12-23 18:35:52) |

Under No trigonometry, no algebra (in Geometry) Posted on 2005-12-23 (10 Comments) |

| Solution by Bractals (2005-12-24 04:35:23) |

| With Trig. Identity by Bractals (2005-12-24 03:41:34) |

Under Evaluate this sum (in Just Math) Posted on 2005-12-21 (14 Comments) |

| re(3): Using Charlie's idea (spoiler?) -- numerical verification by Bractals (2005-12-21 18:24:45) |

| Partial Solution by Bractals (2005-12-21 15:20:41) |

Under The Law of Sines (in Geometry) Posted on 2005-12-13 (4 Comments) |

| Solution by Bractals (2005-12-13 13:00:18) |

Under Balls in Space (in Geometry) Posted on 2005-12-09 (12 Comments) |

| Solution by Bractals (2005-12-09 16:13:56) |

Under Gone Fishin' (in Calculus) Posted on 2005-12-05 (5 Comments) |

| Solution by Bractals (2005-12-05 09:47:03) |

Under Product Rule (in Calculus) Posted on 2005-11-30 (2 Comments) |

| Solution by Bractals (2005-11-30 10:16:56) |

Under Cylindrical Slice (in Calculus) Posted on 2005-11-25 (13 Comments) |

| Solution by Bractals (2005-11-25 11:02:15) |

Under Perpendiculars Picking Probability (in Probability) Posted on 2005-11-24 (5 Comments) |

| Solution by Bractals (2005-11-24 10:41:53) |

Under Box bounce (in Geometry) Posted on 2005-11-17 (26 Comments) |

| Without Gravity Thought by Bractals (2005-11-18 10:21:58) |

Under An infinite chessboard (in Just Math) Posted on 2005-10-28 (26 Comments) |

| Question by Bractals (2005-10-29 16:35:59) |

Under Measure that angle V (in Geometry) Posted on 2005-10-24 (7 Comments) |

| Solution by Bractals (2005-10-24 20:48:48) |

Under Diagonal Product (in Just Math) Posted on 2005-10-20 (3 Comments) |

| Solution by Bractals (2005-10-20 17:35:27) |

Under Dysfunctional Crossing (in Logic) Posted on 2005-09-26 (30 Comments) |

| re: a better solution by Bractals (2005-10-02 16:25:06) |

| Solution by Bractals (2005-09-27 21:32:57) |

Under Magic Sum (in Numbers) Posted on 2005-09-22 (6 Comments) |

| Solution by Bractals (2005-09-22 02:57:49) |

Under Numbers À Propos (in Word Problems) Posted on 2005-09-20 (2 Comments) |

| Solution by Bractals (2005-09-20 20:47:41) |

Under Maximum Triangle (in Calculus) Posted on 2005-09-19 (4 Comments) |

| Solution by Bractals (2005-09-19 16:22:44) |

Under Divide into Primes (in Logic) Posted on 2005-09-17 (12 Comments) |

| Solution by Bractals (2005-09-17 04:19:51) |

Under Not shaken, not stirred, but stable. (in Calculus) Posted on 2005-09-10 (6 Comments) |

| Solution by Bractals (2005-09-10 04:42:07) |

Under Pumpkins 2 (in Numbers) Posted on 2005-09-08 (5 Comments) |

| Solution by Bractals (2005-09-08 20:16:14) |

Under ABSENT TONE (in Numbers) Posted on 2005-09-02 (18 Comments) |

| re: Solution (only one) by Bractals (2005-09-05 08:39:20) |

| re: Solution (one of many?) by Bractals (2005-09-05 05:35:55) |

| re(5): Not a Solution by Bractals (2005-09-04 04:38:57) |

| re(3): Not a Solution by Bractals (2005-09-04 00:51:21) |

| re: Not a Solution by Bractals (2005-09-03 22:46:15) |

Under Linked rings (in Shapes) Posted on 2005-08-31 (8 Comments) |

| Solution by Bractals (2005-08-31 04:44:06) |

Under A quite even partition (in Numbers) Posted on 2005-08-28 (18 Comments) |

| re: Calendar Magic by Bractals (2005-08-29 16:23:22) |

| Solution by Bractals (2005-08-28 16:39:14) |

Under A Matter of Perspective (in Geometry) Posted on 2005-08-27 (10 Comments) |

| re(2): Solution by Bractals (2005-08-27 22:49:58) |

| Solution by Bractals (2005-08-27 15:41:12) |

Under Variation on a Classic (in Geometry) Posted on 2005-08-23 (12 Comments) |

| re(3): Independent solution? by Bractals (2005-08-25 08:12:01) |

| re: Independent solution? by Bractals (2005-08-24 22:38:48) |

| Solution by Bractals (2005-08-24 04:26:42) |

Under Triangles and Rectangle (in Geometry) Posted on 2005-08-21 (5 Comments) |

| re: huh? by Bractals (2005-08-21 09:13:31) |

Under Medially Similar (in Geometry) Posted on 2005-08-19 (3 Comments) |

| Solution by Bractals (2005-08-19 15:11:03) |

Under Misshapen Butter Pats (in Geometry) Posted on 2005-08-16 (9 Comments) |

| re(3): Solution -- You're right; I'm wrong by Bractals (2005-08-17 00:31:26) |

| Solution by Bractals (2005-08-16 15:59:37) |

Under Inverting Triangles (in Shapes) Posted on 2005-08-15 (14 Comments) |

| Solution by Bractals (2005-08-15 02:46:19) |

Under Trigonometry nest (in Calculus) Posted on 2005-08-12 (10 Comments) |

| Solution by Bractals (2005-08-13 15:39:24) |

Under Circle (in Geometry) Posted on 2005-07-28 (5 Comments) |

| Vector Solution by Bractals (2005-07-28 21:11:16) |

Under Tough Isosceles (in Geometry) Posted on 2005-07-20 (6 Comments) |

| Conditional Solution by Bractals (2005-07-20 16:23:16) |

Under Sophie Squares (in Numbers) Posted on 2005-07-13 (9 Comments) |

| re(2): Solution by Bractals (2005-07-14 03:24:53) |

| Solution by Bractals (2005-07-13 18:09:21) |

Under Many Marbles Mystery (in Geometry) Posted on 2005-06-29 (4 Comments) |

| Solution by Bractals (2005-06-30 05:03:36) |

Under An ingenious evaluation (in Calculus) Posted on 2005-06-26 (7 Comments) |

| Solution by Bractals (2005-06-26 06:14:43) |

Under Tipping Tube (in Science) Posted on 2005-06-23 (11 Comments) |

| re: there's a catch i suppose by Bractals (2005-06-27 13:12:56) |

Under Perplexus Icon plus one (in Shapes) Posted on 2005-06-18 (12 Comments) |

| re(2): Solution by Bractals (2005-06-19 06:59:02) |

| Solution by Bractals (2005-06-18 14:53:47) |

Under Dotty Right Triangle (in Numbers) Posted on 2005-06-09 (6 Comments) |

| re(2): Half solution -- the second half by Bractals (2005-06-09 21:17:31) |

| Half solution by Bractals (2005-06-09 18:43:12) |

Under Bat wings (in Shapes) Posted on 2005-06-08 (13 Comments) |

| re(2): Label the figure by Bractals (2005-06-09 16:17:13) |

| Label the figure by Bractals (2005-06-09 03:53:13) |

Under Disguised trapezoid (in Geometry) Posted on 2005-05-28 (3 Comments) |

| Cyclic by Bractals (2005-05-29 01:50:35) |

Under Discriminants (in Numbers) Posted on 2005-05-24 (7 Comments) |

| re(2): Four by Bractals (2005-05-27 05:02:39) |

| Four by Bractals (2005-05-25 05:24:26) |

Under Cut Wire (in Calculus) Posted on 2005-05-20 (6 Comments) |

| Jer & Charlie by Bractals (2005-05-20 21:01:59) |

Under Monkeys and Coconuts w/unknown variables (in Numbers) Posted on 2005-05-08 (10 Comments) |

| re: meh by Bractals (2005-05-12 22:51:34) |

| re: ok then...correction... by Bractals (2005-05-09 15:24:00) |

| Nice problem by Bractals (2005-05-08 18:42:48) |

Under Just find two! (in Geometry) Posted on 2005-04-27 (25 Comments) |

| Solution by Bractals (2005-05-14 00:12:51) |

Under Go for short! (in Numbers) Posted on 2005-04-19 (8 Comments) |

| How about this? by Bractals (2005-04-19 11:08:36) |

Under Four Disks (in Geometry) Posted on 2005-02-02 (5 Comments) |

| Added Observation by Bractals (2005-02-04 23:03:42) |

Under Bowl and Rod (in Science) Posted on 2004-12-31 (18 Comments) |

| re: Another method, Another answer by Bractals (2005-01-04 22:09:15) |

| This might help. by Bractals (2005-01-01 05:08:43) |

Under Disk Division (in Geometry) Posted on 2004-12-09 (17 Comments) |

| re: Test Only by Bractals (2015-10-15 23:53:46) |

| Test Only by Bractals (2014-01-23 03:47:57) |

Under Triangular Cubes (in Probability) Posted on 2004-12-04 (11 Comments) |

| Solution by Bractals (2004-12-04 17:21:28) |

Under Nonagon (in Geometry) Posted on 2004-11-25 (13 Comments) |

| Solution by Bractals (2004-11-26 16:40:35) |

Under Measure that angle IV (in Geometry) Posted on 2004-11-02 (21 Comments) |

| re(2): Generalization by Bractals (2004-11-09 20:03:18) |

| Generalization by Bractals (2004-11-06 14:28:55) |

Under A pool rack filled with balls (in Geometry) Posted on 2004-09-17 (25 Comments) |

| Solution by Bractals (2004-09-21 17:39:54) |

Under Circle, Circle, Triangle, Circle! (in Geometry) Posted on 2004-09-08 (10 Comments) |

| Solution by Bractals (2004-09-10 16:18:51) |

Under Firing Line (in Algorithms) Posted on 2004-08-25 (14 Comments) |

| Jacques Mazoyer's Solution by Bractals (2004-08-27 23:35:38) |

| Spoiler by Bractals (2004-08-27 02:13:33) |

Under Hole in a bead (in Calculus) Posted on 2004-08-21 (13 Comments) |

| Clever problem. by Bractals (2004-08-21 10:00:48) |

Under How Many Triangles... (in Geometry) Posted on 2004-08-15 (8 Comments) |

| Maximum What? by Bractals (2004-08-15 21:58:45) |

Under Logic and Stamps (in Logic) Posted on 2004-07-31 (17 Comments) |

| Elimination by Bractals (2004-08-02 11:49:20) |

Under Three Circles (in Geometry) Posted on 2004-07-28 (7 Comments) |

| re(2): Inversion by Bractals (2004-07-30 20:42:26) |

| Inversion by Bractals (2004-07-29 10:16:04) |

Under A Point and a Cube (in Geometry) Posted on 2004-07-16 (23 Comments) |

| Final Cut by Bractals (2004-07-22 11:31:24) |

| PD = 11 and not 9? by Bractals (2004-07-18 03:09:48) |

Under A Common Vertex (in Shapes) Posted on 2004-07-12 (19 Comments) |

| "I got six" refined by Bractals (2004-07-18 09:22:21) |

| I got six by Bractals (2004-07-17 17:08:47) |

Under Equilateral Triangle (in Geometry) Posted on 2004-06-20 (21 Comments) |

| re(3): Another way to think about it... by Bractals (2004-08-02 19:22:12) |

| 2D No - 3D ? by Bractals (2004-07-17 13:49:49) |

Under Chords and Chords (in Geometry) Posted on 2004-03-24 (23 Comments) |

| Lookup by Bractals (2004-07-19 13:20:40) |

Under Quadrilateral fun (in Geometry) Posted on 2004-01-10 (6 Comments) |

| A Complex Solution by Bractals (2004-07-24 02:50:08) |

Under Four Tangent Circles (in Shapes) Posted on 2003-10-20 (13 Comments) |

| Exterior Angle by Bractals (2004-08-12 02:06:55) |

Under Origamic (in Geometry) Posted on 2003-09-23 (11 Comments) |

| Similar Triangles by Bractals (2004-07-27 17:07:57) |

Under All dogs are the same color! (in Paradoxes) Posted on 2003-05-30 (23 Comments) |

| k = 1 by Bractals (2005-02-16 01:15:35) |

Under Marching Messenger (in General) Posted on 2002-07-05 (13 Comments) |

| Nice problem by Bractals (2004-08-24 11:48:09) |

Under Proof (in Just Math) Posted on 2002-05-29 (44 Comments) |

| Equivalent by Bractals (2007-11-14 16:11:50) |

Under Pick a box! (in Probability) Posted on 2002-03-28 (40 Comments) |

| 6/9 by Bractals (2005-03-08 07:12:10) |