Phil's Polygonal Diameter Theorem:
GXWeb dodecagon playgroundGiven a 2n-gon...
You are to draw n diagonals so that they don't share end points, and there are an odd number of polygon sides between the end-points.
For n = 6 (dodecagon):
Option 1
[3,3,3,3,3,3]
[3,5,3,5,3,3]
[3,5,5,5,5,3]
[3,5,7,3,5,3]
[3,9,3,3,3,3]
[5,7,5,7,5,7]
[7,3,9,5,5,3]
[7,5,9,5,5,5]
[7,5,9,7,5,3]
Option 2
[9,3,3,3,3,3]
[9,3,5,3,5,3]
[9,3,5,5,5,5]
[7,9,3,5,7,3]
[9,3,9,3,3,3]
[5,7,5,7,5,7]
[7,3,9,5,5,3]
[7,5,9,5,5,5]
[7,5,9,7,5,3]
Explore for yourself...
Try the GXWeb Decagon playground
Try the GXWeb 14-gon playground
Try the GXWeb 16-gon playground
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