perplexus.info :: Shapes : 3 colors

3 colors (Posted on 2003-05-01)

Imagine that a painter went down to a mathematical plane and colored all of the points on that plane one of three colors.

Prove that there exist two points on this plane, exactly one meter apart, that have the same color.

See The Solution Submitted by Jonathan Waltz

Rating: 4.1000 (10 votes)

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Subject	Author	Date
Slight variation with Desmos picture	Larry	2024-01-19 10:13:50
Possible Solution?	Brittany	2004-04-17 10:55:10
Wait! I have something else!	Ryan	2003-05-07 18:38:50
Try this proof	Ryan	2003-05-07 15:46:43
re(2): Proof by contradiction	Charlie	2003-05-07 06:15:40
re(2): Proof by contradiction	Brian Smith	2003-05-07 03:40:58
re: Proof by contradiction	Ryan	2003-05-06 19:25:56
re: Elegant proof	Ryan	2003-05-06 19:11:37
Solution	Chaz	2003-05-02 13:19:00
Elegant proof	Bryan	2003-05-01 13:01:09
re: Proof by contradiction	DJ	2003-05-01 12:46:00
re: Proof by contradiction	Charlie	2003-05-01 10:08:13
Proof by contradiction	Brian Smith	2003-05-01 08:37:44
Proof	Charlie	2003-05-01 08:13:04
Unproveable	DuCk	2003-05-01 08:08:40
re: Two Or Three ?	friedlinguini	2003-05-01 06:02:43
re(3): Could be right	Charlie	2003-05-01 05:38:00
re: Three-Dimensional Plane	Charlie	2003-05-01 05:32:54
re(2): Could be right	Hank	2003-05-01 05:29:46
re: Two-Dimensional Plane	Charlie	2003-05-01 05:29:07
Three-Dimensional Plane	Ravi Raja	2003-05-01 05:27:12
Two-Dimensional Plane	Ravi Raja	2003-05-01 05:25:28
Two Or Three ?	Ravi Raja	2003-05-01 05:24:58
re(3): Could be right	Charlie	2003-05-01 05:24:13
re: Could be right	Brian Smith	2003-05-01 04:54:27
re(2): Could be right	Ravi Raja	2003-05-01 04:46:56
re: Could be right	friedlinguini	2003-05-01 04:36:43
Could be right	Hank	2003-05-01 04:16:30

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