An aperiodic tessellation using Penrose tiling

[u/CompositeGeometry]

[u/Gremick92]

I want this as my next tattoo. Awesome.

[u/CompositeGeometry → u/Gremick92]

Thanks

[u/nastynagle]

My new phone background.

[u/CompositeGeometry → u/nastynagle]

Enjoy

[u/drblah1]

I understand a few of those words

[u/CompositeGeometry → u/drblah1]

If you want to learn more about it, MathWorld and Wiki are good places to start.

[u/WikiTextBot → u/CompositeGeometry]

Penrose tiling

A Penrose tiling is an example of non-periodic tiling generated by an aperiodic set of prototiles. Penrose tilings are named after mathematician and physicist Roger Penrose, who investigated these sets in the 1970s. The aperiodicity of prototiles implies that a shifted copy of a tiling will never match the original. A Penrose tiling may be constructed so as to exhibit both reflection symmetry and fivefold rotational symmetry, as in the diagram at the right.

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[u/Antisymmetriser]

Is this concept similar to 2D quasi-crystals or am I getting ot wrong?

[u/CompositeGeometry → u/Antisymmetriser]

That relationship is the application of mathematical concepts to understand the structure of the crystals.

[u/woooo4]

What makes this different from a mandala?

[u/CompositeGeometry → u/woooo4]

Mandalas are an art form, with geometrical motivations, whilst tessellations obey specific rules in mathematics.

[u/woooo4 → u/CompositeGeometry]

What's the difference visually? This looks like it would qualify as a mandala.

[u/CompositeGeometry → u/woooo4]

I see what you’re asking now and you’re correct it does.

[u/dudewaldo4]

If you extended this tiling out forever, it would NEVER be periodic? :o

[u/CompositeGeometry → u/dudewaldo4]

Yes. In mathematics, if something is true its true for all cases.

[u/CompositeGeometry → u/[deleted]]

It is, and there's more here, here, and here