1||0|115|0| 0|0|0|||||3-Point Even-Spaced Pidgeon|V Paul Smith Jr|1|07:51:03|10/03/2007|In reference to%3A%0D%0Ahttp%3A%2F%2Fwww.cut-the-knot.org%2Fpigeonhole%2Feven_spaced.shtml%0D%0A%0D%0AWould another simple proof be this%3A%0D%0A%95 Consider the Vertices of a Regular Pentagon inscribed in the circle.%0D%0A%95 3 of the points %28at the vertices%29 have to be the same color.%0D%0A%95 Those 3 points form the vertices of an isosceles triangle%2C which by definition has two congruent sides. The point common to both matching sides in the mid-point of the sought after trio.%0D%0A%0D%0A%0D%0A -V Paul Smith Jr%0D%0A vpaulsmithjr%40gmail.com 1|1|0|||||RE%3A 3-Point Even-Spaced Pidgeon|alexb||07:52:02|10/03/2007|Yes%2C indeed. Thank you.