Investigating rhombus dissection of regular polygons
- Vincent Pantaloni
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... --...