Penrose tiling

GPTKB entity

Statements (59)
Predicate Object
gptkbp:instance_of gptkb:X_Window_System
gptkbp:analyzes a pattern of tiles
gptkbp:can_be_found_in natural phenomena
gptkbp:consists_of two shapes
gptkbp:constructed_in inflation method
gptkbp:discovered_by gptkb:Roger_Penrose
gptkbp:exhibits quasicrystalline properties
gptkbp:has_applications_in material science
gptkbp:has_produced substitution rules
gptkbp:has_variants P2 and P3 tilings
https://www.w3.org/2000/01/rdf-schema#label Penrose tiling
gptkbp:illustrated_by mathematical literature
mathematical art
geometric art
gptkbp:invention gptkb:Roger_Penrose
gptkbp:is_a non-periodic tiling
gptkbp:is_aligned_with five-fold symmetry
gptkbp:is_analyzed_in mathematical modeling
mathematical research
gptkbp:is_applied_in physics
gptkbp:is_associated_with Roger Penrose's work in mathematics
the concept of tiling
the study of patterns
gptkbp:is_characterized_by local matching rules
non-repeating patterns
local rules for tile placement
gptkbp:is_considered the study of symmetry
the study of quasicrystals
gptkbp:is_considered_as aperiodic tiling
gptkbp:is_examined_in mathematical physics
theoretical mathematics
gptkbp:is_explored_in gptkb:artistic_expressions
gptkb:computer_science
gptkb:Physics
theoretical studies
artistic designs
artistic mathematics
gptkbp:is_not_periodic_because it lacks translational symmetry
gptkbp:is_related_to gptkb:Penrose_triangle
gptkb:Mathematics
tiling theory
aperiodic order
tiling puzzles
gptkbp:is_represented_in kites and darts
gptkbp:is_studied_for its unique properties
its aesthetic properties
its mathematical properties
gptkbp:is_studied_in crystallography
gptkbp:is_used_in gptkb:Graphics_Processing_Unit
gptkb:art_and_architecture
gptkb:decorative_arts
design and architecture
scientific visualization
pattern design
gptkbp:named_after gptkb:Roger_Penrose
gptkbp:was_a_demonstration_of mathematical concepts
Penrose's original paper
gptkbp:bfsParent gptkb:Roger_Penrose
gptkbp:bfsLayer 4