Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
aperiodic monotile
|
| gptkbp:canTileAperiodically |
yes
|
| gptkbp:canTilePlane |
yes
|
| gptkbp:category |
gptkb:mathematics
tiling theory |
| gptkbp:dimensions |
2D
|
| gptkbp:discoveredBy |
Joan S. Taylor
Joshua Socolar |
| gptkbp:discoveredIn |
2010
|
| https://www.w3.org/2000/01/rdf-schema#label |
Socolar–Taylor tile
|
| gptkbp:notableFor |
first single tile to force aperiodicity with matching rules
|
| gptkbp:publishedIn |
arXiv:1003.4279
|
| gptkbp:relatedTo |
Penrose tiling
einstein problem |
| gptkbp:requires |
matching rules
local matching rules in 3D non-local matching rules in 2D |
| gptkbp:shape |
hexagonal
|
| gptkbp:tilingType |
Penrose tiling
|
| gptkbp:variant |
3D version exists
|
| gptkbp:bfsParent |
gptkb:the_hat_tiling
|
| gptkbp:bfsLayer |
7
|