Each page is linked to the subsequent one via an image.
| Title page | page 1 The 3 regular tilings |
| page 2 How to make a new tile | page 3 A tiling with this tile |
| page 4 Every triangle tiles. | page 5 "Circular" tilings by triangles |
| page 6 Regular pentagons don't tile | page 7 Every quadrilateral tiles |
| page 8 A tiling by Escher | page 9 Some pentagonal tilings |
| page 10 Some types of pentagons | page 11 Tilings by Marjorie Rice |
| page 12 A tile that admits 7 distinct isohedal tilings | page 13
Are these tilings equivalent?
|
| page 14 A tiling by Mirza Akbar | page 15 Two topologically equivalent tilings |
| page 16 Tiles meet in a disconnected set | page 17 Heesch's answer to Hilbert |
| page 18 A tiling with 6-fold symmetry | page 19 A trivially nonperiodic tiling |
| page 20 Robinson's set of aperiodic tiles | page 21 Pattern formed by Robinson's tiles |
| page 22 Roger Penrose | page 23 Penrose's first aperiodic set |
| page 24 Kite and Dart in the pentagram | page 25 Kite and Dart--aperiodic tiles |
| page 26 Ways to form a vertex with Penrose tiles | page 27 Composition with rectangular tiles |
| page 28 Decomposition of Kite & Dart | page 29 Creation of Rhombs from Kite & Dart |
| page 29a Amman's aperiodic set of 3 tiles | page 30 Decomposition of Sun... |
| page 31 Step 2 | page 32 Step 3 |
| page 33 Step 4 | page 34 Step 5 |
| page 35 Step 6 | page 36 repeating patterns |
| page 37 batman is everywhere! | page 38 The cartwheel |
| page 39 5-fold symmetry in the cartwheel | page 40 worms in the cartwheel |
| page 41 inflation of the ace |
I would like to thank Professor Branko Grunbaum for his kind permission
to reproduce images from his book "Tilings and Patterns", by Branko
Grunbaum and G.C. Shephard, W.H. Freeman, 1987.
Comments: sedwards@spsu.edu
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Southern Polytechnic State University