_{}** NON-PERIODIC TESSELLATIONS **_{}

Another extraordinary possibility regarding the tessellations is that of non-periodic tiles and tessellations.

A periodical tessellation is a set of tiles that pave the plan to infinity by reproducing by translations.

A non-periodic tessellation is a set of tiles that pave the plan to infinity, but without translations.

Its tiles can be either periodic or aperiodic.

Some periodic tiles can pave the plan non-periodically.

A set of aperiodic tiles can only paves the plan non-periodically.

All the drawings are copyright Alain Nicolas, all rights reserved. You must get my permission to reproduce any of my work.

"Non-periodic Infini (Infinity in French)"

Non-periodic tessellation

"Tidy & Untidy Kittens"

Periodic & non-periodic tessellations

"Pentagram with lizards"

Non-periodic tessellation

"Pentagonal rose with birds"

(Tribute to Sir Roger Penrose)

Aperiodic tiles Penrose P2

"Nosy & Tubby, the aperiodic pals"

(Tribute to Robert Ammann)

Aperiodic tiles Ammann A5

"Greeny & Rosy the aperiodic fishes"

Aperiodic tiles Penrose P3

"The family of aperiodic lizards"

Aperiodic divided tiles Ammann A5

"Different"

Non-periodic tessellation

"Pentagonal Flight"

Non-periodic tessellation

"The Blues of Clown"

Non-periodic tessellation

"The Ghosts of Decagone"

Non-periodic tessellation

"Pentagonists Order"

Non-periodic tessellation

"Ornithological Rays"

Non-periodic tessellation

"Elephant"

Non-periodic tessellation. The outer contours are periodic, but not the interior designs

"Pentagonal Convergence"

Non-periodic tessellation

"Birds Pyramid"

Non-periodic tessellation

"Twin Gooses Assembly"

Non-periodic tessellation

"Quadrilaterals and fireworks"

Non-periodic tessellation

"Umbrella with Birds"

Non-periodic tessellation

"Rainbow Birds"

Non-periodic tessellation

"Square with Fishes"

Non-periodic tessellation

"Duckings & Little Fishes"

Non-periodic tessellation

"Hexagon with Cats"

Non-periodic tessellation

"Attraction"

Non-periodic tessellation

"Sun"

Non-periodic tessellation

"Whirpools"

Non-periodic tessellation

"Who Eats Who?"

Non-periodic tessellation

"Hexagon with Birds"

Non-periodic tessellation

"Fishes in Hexagons"

Non-periodic tessellation

"The Square of the Twin Ducks"

Non-periodic tessellation

"Affluence"

(Tribute to John A.L. Osborn)

Non-periodic tiles type Osborn

"Nightmare"

Non-periodic tessellation

"Aperiodic Flowerbed"

(Tribute to Josh Socolar)

Aperiodic Socolar Tiles