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.

aperiodic infinity

"Non-periodic Infini (Infinity in French)"
Non-periodic tessellation

non-periodic cats

"Tidy & Untidy Kittens"
Periodic & non-periodic tessellations

pentagram with lizards tessellation

"Pentagram with lizards"
Non-periodic tessellation

aperiodic rose with birds

"Pentagonal rose with birds"
(Tribute to Sir Roger Penrose)
Aperiodic tiles Penrose P2

aperiodic rose with dogs and birds

"Nosy & Tubby, the aperiodic pals"
(Tribute to Robert Ammann)
Aperiodic tiles Ammann A5

aperiodic rose with fishes

"Greeny & Rosy the aperiodic fishes"
Aperiodic tiles Penrose P3

aperiodic rose with lizards

"The family of aperiodic lizards"
Aperiodic divided tiles Ammann A5

non-periodic fishes

"Different"
Non-periodic tessellation

non-periodic birds

"Pentagonal Flight"
Non-periodic tessellation

non-periodic human

"The Blues of Clown"
Non-periodic tessellation

non-periodic ghost

"The Ghosts of Decagone"
Non-periodic tessellation

non-periodic human

"Pentagonists Order"
Non-periodic tessellation

non-periodic rays

"Ornithological Rays"
Non-periodic tessellation

non-periodic elephant

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

aperiodic birds

"Pentagonal Convergence"
Non-periodic tessellation

non-periodic bird pyramid

"Birds Pyramid"
Non-periodic tessellation

non-periodic gooses

"Twin Gooses Assembly"
Non-periodic tessellation

non-periodic tiling

"Quadrilaterals and fireworks"
Non-periodic tessellation

non-periodic umbrella

"Umbrella with Birds"
Non-periodic tessellation

non-periodic rainbow

"Rainbow Birds"
Non-periodic tessellation

non-periodic fish

"Square with Fishes"
Non-periodic tessellation

non-periodic ducklings

"Duckings & Little Fishes"
Non-periodic tessellation

non-periodic cats

"Hexagon with Cats"
Non-periodic tessellation

non-periodic symmetric birds

"Attraction"
Non-periodic tessellation

non-periodic sun

"Sun"
Non-periodic tessellation

non-periodic fishes tiling

"Whirpools"
Non-periodic tessellation

non-periodic fish tiling

"Who Eats Who?"
Non-periodic tessellation

non-periodic bird tiling

"Hexagon with Birds"
Non-periodic tessellation

non-periodic hexagons tiling

"Fishes in Hexagons"
Non-periodic tessellation

non-periodic ducks tessellation

"The Square of the Twin Ducks"
Non-periodic tessellation

non-periodic fishes tessellation

"Affluence"
(Tribute to John A.L. Osborn)
Non-periodic tiles type Osborn

non-periodic fishes tessellation

"Nightmare"
Non-periodic tessellation

aperiodic flowers tessellation

"Aperiodic Flowerbed"
(Tribute to Josh Socolar)
Aperiodic Socolar Tiles

MORE TO COME

Alain NICOLAS