Images that show a visual representation of Fermat numbers and how those images can be used to create tessellations and other types of mathematical art.
The images are a combination of visual geometry and visual number theory with an art component.
The images are based on square grids.
The starting point for the Fermat numbers (3,5,17,257...) is a 3x3 square grid.
The construction of a 27-gon is based on the general construction methods for 6n+3 polygons.
Starting with the nonagon, 18-gon (double the nonagon) , and we can find the defining lines to construct the 27-gon.
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| 27-gon neusis construction |
The process I initially follow , is to start with the regular polygon that I want to insert the squares in, draw a loose point in one of the sides and repeat on the other sides (same length). I draw the squares and move the original point until I find the meeting point of the squares. I use GeoGebra to make the drawings.
