Penrose tiling

This free online generator lets you draw your own Penrose tiles immediately. You can freely set tiling design, density, color, and line-width. The generated graphics can be downloaded as loss-less vector images. The tilings are generated with the projection of the 6-dimensional simple lattice.

Roger Penrose — the English mathematical physicist who shared the 2020 Nobel Prize in Physics for the discovery that black hole formation is a robust prediction of the general theory of relativity — is also famous for something more terrestrial - Penrose Tiling. Here’s a look at the other side of the Nobel laureate:Tile High: Back in the 1970s, Roger Penrose created a set of tiles that could be used to cover an infinite plane in a pattern that never repeats. His work changed our basic…

Measures 48 inches square. Unframed. Penrose tilings are named after mathematician and physicist Roger Penrose, who investigated these sets in the 1970s. They offer an example of an aperiodic tiling, which means that aperiodic means that they lack translational symmetry. This work is intuitively rather than mathematically crafted, with the use of color adding a visual tension to the pattern.

This sites features mathematical images and animations made by Jos Leys.

(IUCr) Deformed Penrose tiling and quasicrystals

This is how you know you're in a mathematician's house. The bathroom floor is tiled with a Penrose tiling. (The Penrose tiling has two distinct features--first, that it's aperiodic. Second, that it's made with two basic shapes.) (There is actually one small error in this tiling. Can you spot the error?)

I made this Christmas Tree Skirt as a wedding present for my niece and nephew-in-law: It's based on a Penrose tiling, which is an aperiodic tiling derived from tiling pentagons. (I'll let wikipedia explain it). I used a combination of machine piecing and English paper piecing to construct it using two types of diamonds: and I lay them out in this base tiling: Then I do two tricky things that exploit some of the niftier properties of Penrose tilings: matching rules and inflation/deflation…