Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Penrose tiling
|
| gptkbp:discoveredBy |
gptkb:Roger_Penrose
|
| gptkbp:example |
gptkb:Penrose_kite_and_dart_tiling
gptkb:P2_tiling gptkb:P3_tiling gptkb:Penrose_rhomb_tiling P1 tiling |
| gptkbp:firstPublished |
1974
|
| gptkbp:hasMathematicalProperty |
finite local complexity
hierarchical structure matching rules non-repeating pattern self-similarity prototiles deflation symmetry inflation symmetry enforce aperiodicity local matching rules undecidability of tiling problem |
| gptkbp:hasProperty |
non-periodic
cover the plane fivefold symmetry |
| gptkbp:hasType |
rhombus
kite and dart |
| https://www.w3.org/2000/01/rdf-schema#label |
Penrose tiles
|
| gptkbp:influenced |
gptkb:logic
computational theory mathematical art tiling theory non-periodic tilings quasicrystal discovery |
| gptkbp:namedAfter |
gptkb:Roger_Penrose
|
| gptkbp:relatedTo |
gptkb:quasiperiodic_tiling
gptkb:Wang_tiles Penrose tiling Socolar tiling Ammann tilings Einstein tile Robinson tiles aperiodic set |
| gptkbp:symmetry |
gptkb:mirror_symmetry
fivefold rotational symmetry decagonal symmetry |
| gptkbp:usedIn |
gptkb:art
gptkb:mathematics crystallography physics mathematical puzzles quasicrystals decorative tiling |
| gptkbp:bfsParent |
gptkb:Berger_tiles
|
| gptkbp:bfsLayer |
8
|