Three Colors on a PlaneDate: 03/04/2003 at 20:20:36 From: Scholtes Subject: Planes and lines You have three colors, green, red, and blue. These three colors must be painted onto a plane. The entire plane is to be covered. When the three colors are placed on the plane every straight line that can be drawn will pass through exactly two colors. How would I draw these colors onto the plane? Date: 03/06/2003 at 08:35:14 From: Doctor Jacques Subject: Re: Planes and lines Hi Scholtes, Draw a pair of intersecting straight lines, and call O their intersection point. Label the 4 regions clockwise as 1, 2, 3, 4. Now, * Paint O in red (that will be the only red point) * Paint regions 1 and 3 in green, and regions 2 and 4 in blue. * Paint the axes themselves (except for O) in green. Is this an acceptable solution? - Doctor Jacques, The Math Forum http://mathforum.org/dr.math/ |
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