## (A) Tiling by Nested Hexagons, Squares and Equilateral Triangles

## (B) Tiling using Nested Dodecagons (and Hexagons)

## (C) Tiling by Nested Octagons and Squares

## (D) Tiling using Nested Hexagons

## (E) Tiling by Nested Hexagons and Equilateral Triangles

## (F) Tiling by Nested Dodecagons, Hexagons and Squares

## (G) Tiling by Nested Hexagons and Equilateral Triangles

( Mathematical software used: GeoGebra )

**Related posts:**

- Nested Regular Polygons
- Tiling by Nested Polygons (1)
- Tiling using Nested Stars (1)
- Tiling using Nested Stars (2)
- Tiling using Nested Crosses

Very similar to the Spidron tilings - Very impressive work!

ReplyDeleteThank you!

http://spidron.hu/sparchicards/

Daniel Erdely, Spidronist

edan@spidron.hu

I have drawn such things by hand since I was a kid. I still draw sometimes but it can take a lot of time. For example,

ReplyDeletehttp://echo.planet.ee/00/110/orion.html

http://echo.planet.ee/00/110/17.html

When I saw the images in this post, I saw something that could be described as a wild fantasy. I've almost never tried to draw these things with a computer but if you were able to do this with GeoGebra, I should take a look of it too. So nice to see that someone else has enjoyed them. I was thinking, is there any precise formula for the curves that appear? It should depend on the n of n-gon, r for the side length of n-gon (or bigger radius) and s for the constant step length on every previous edge. Perhaps you know that formula?

Thank you for such amazing pictures!