All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Splitting shapes (Posted on 2006-02-16)
1. Divide a square into three similar regions, ALL THREE of which are congruent.
2. Divide a square into three similar regions, EXACTLY TWO of which are congruent.
3. Divide a square into three similar regions, NO TWO of which are congruent.
4. Divide an equilateral triangle into three similar regions, ALL THREE of which are congruent.
5. Divide an equilateral triangle into three similar regions, EXACTLY TWO of which are congruent.
6. Divide an equilateral triangle into three similar regions, NO TWO of which are congruent.

If necessary, you may use one or more inversely similary regions where all corresponding angles are equal and described in the opposite rotational sense, i.e. "reflected".

 See The Solution Submitted by Bob Smith Rating: 4.0000 (3 votes)

 Subject Author Date 5, illustrated Dej Mar 2006-03-17 04:18:50 re(3): All but 5 Jer 2006-03-16 13:12:10 re(2): All but 5 Dej Mar 2006-03-06 15:39:40 re: All but 5 Bob Smith 2006-02-21 11:01:56 All but 5 Tristan 2006-02-17 23:28:01 4 region solutions Jer 2006-02-17 12:49:34 going further Jer 2006-02-16 13:33:42 Pictures of solutions Jer 2006-02-16 13:19:09 Parts 1 & 4: Three congruent parts Federico Kereki 2006-02-16 12:03:32

 Search: Search body:
Forums (0)