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 The Amazing Stamp (Posted on 2003-12-01)
You have an ink stamp that is so amazingly precise that, when inked and pressed down on the plane, it makes every circle whose radius is an irrational number (centered at the center of the stamp) black.

Is it possible to use the stamp three times and make every point in the plane black?

If it is possible, where would you center the three stamps?

 See The Solution Submitted by DJ Rating: 4.4545 (11 votes)

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 Subject Author Date Some thoughts on the problem K Sengupta 2007-05-12 13:28:40 Continuum Hypothesis solved! Avin 2005-05-18 14:11:51 General solution Larry Settle 2003-12-11 22:32:00 re(5):my proof - I stand corrected! SilverKnight 2003-12-09 16:21:46 re(4):my proof Brian Wainscott 2003-12-09 16:08:50 re(3):my proof SilverKnight 2003-12-09 15:46:00 re(2):my proof Brian Wainscott 2003-12-09 15:33:18 re: SilverKnight 2003-12-09 15:16:50 No Subject Brian Wainscott 2003-12-09 15:02:55 re(9): Brian's solution SilverKnight 2003-12-09 12:55:07 re(8): Brian's solution Brian Wainscott 2003-12-09 12:36:11 re(7): Brian's solution SilverKnight 2003-12-08 19:43:52 re(6): Brian's solution Brian Wainscott 2003-12-08 19:10:21 re(5): Brian's solution SilverKnight 2003-12-08 17:28:25 re(6): Brian's solution Larry Settle 2003-12-08 15:44:18 re(5): Brian's solution Cory Taylor 2003-12-08 14:39:10 re(4): Brian's solution Cory Taylor 2003-12-08 14:30:46 re(4): Brian's solution Larry Settle 2003-12-08 14:29:15 re(3): Brian's solution SilverKnight 2003-12-08 12:20:44 re(2): Brian's solution Cory Taylor 2003-12-08 12:09:11 re: Brian's solution SilverKnight 2003-12-08 10:44:48 Brian's solution Larry Settle 2003-12-08 10:26:42 Lateral thinking solution Penny 2003-12-04 07:54:17 re(2): Solution Charlie 2003-12-03 14:32:02 re: Solution Cory Taylor 2003-12-03 12:19:56 Solution Brian Smith 2003-12-03 11:22:29 a solution?? Cory Taylor 2003-12-03 10:03:58 re(4): alteration Charlie 2003-12-03 09:00:09 re(5): alternation implies 1-1 Charlie 2003-12-03 08:46:51 re(3): alteration DJ 2003-12-02 22:36:09 re(5): alternation implies 1-1 SilverKnight 2003-12-02 14:43:51 re(4): alternation implies 1-1 Cory Taylor 2003-12-02 14:36:29 re(3): alternation implies 1-1 SilverKnight 2003-12-02 14:15:28 re(2): alternation implies 1-1 Cory Taylor 2003-12-02 13:58:59 re: alternation implies 1-1 SilverKnight 2003-12-02 12:35:34 alternation implies 1-1 Cory Taylor 2003-12-02 12:20:25 re(3): Bryan 2003-12-02 10:59:43 re(2): Charlie 2003-12-02 08:57:43 re(2): Benjamin J. Ladd 2003-12-02 00:04:53 re: Eric 2003-12-01 23:41:24 re: DJ 2003-12-01 23:34:51 No Subject Benjamin J. Ladd 2003-12-01 22:49:08 Three points Brian Smith 2003-12-01 14:28:30 thoughts Charlie 2003-12-01 13:58:24 This is a cool problem... SilverKnight 2003-12-01 13:40:05

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