perplexus.info :: Geometry : Partitioning Space

Partitioning Space (Posted on 2004-09-13)

From Pizza Cut, we know the formula for maximum partitioning (pieces) of the circle, given n straight lines (cuts).
______________________________________

Determine the maximum number of regions of the plane produced by n intersecting circles.
Determine the maximum number of regions of the plane produced by n intersecting ellipses.
Determine the maximum number of regions of space produced by n intersecting spheres.

No Solution Yet Submitted by SilverKnight

Rating: 4.4000 (5 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2024-05-01 01:29:45
Part II Solution	David Shin	2004-09-15 00:24:00
Part I Solution	David Shin	2004-09-15 00:18:00
re(2): Reason, don't guess	David Shin	2004-09-14 17:24:40
re: Reason, don't guess	nikki	2004-09-14 17:00:42
Reason, don't guess	David Shin	2004-09-14 16:47:37
re(3): Part 3?? what was I thinking?	nikki	2004-09-14 15:20:23
re(2): Part 3??	nikki	2004-09-14 14:52:43
re: Part 3??	Brian Smith	2004-09-14 12:55:27
Part 3??	nikki	2004-09-14 10:51:42
Some ideas...	David Shin	2004-09-14 08:52:02
Pt. 3	Ira Jewell	2004-09-13 23:05:34
Parts 1 and 2	nikki	2004-09-13 15:43:03
Part 2 solution?	Jer	2004-09-13 14:11:37

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info