Investigating rhombus dissection of regular polygons
Rules of the game:
You only have one tool, named: KITE.
As shown with the red kite: you select 3 points in the order 1,2,3 and it builds the fourth point and the kite.
- Try to fill in the regular polygons with rhombuses. Is it always possible?
- I gave many dodecagons to fill in and some examples. Many questions arise:
-- How many different kinds of rhombuses can be made?
-- What's the maximum number of squares you can form?
-- Is it possible to not end up tiling the dodecagon with this tool?
-- What is the minimum/maximum number of rhombuses that can be used to fill the dodecagon...
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