|
gptkbp:instance_of
|
gptkb:musical_group
|
|
gptkbp:analyzes
|
a strip of repeating patterns
|
|
gptkbp:can_be_found_in
|
gptkb:textiles
gptkb:tiles
wallpapers
|
|
gptkbp:can_create
|
visual patterns
|
|
gptkbp:concept
|
gptkb:Mathematics
discrete mathematics
|
|
gptkbp:describes
|
symmetries of patterns in a plane
|
|
gptkbp:has
|
infinite number of elements
|
|
gptkbp:has_applications_in
|
crystallography
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Frieze Group
|
|
gptkbp:includes
|
translations
rotations
reflections
|
|
gptkbp:is_a_basis_for
|
pattern classification
|
|
gptkbp:is_a_concept_that_helps_in
|
the analysis of visual symmetry
|
|
gptkbp:is_a_framework_for
|
analyzing designs
|
|
gptkbp:is_a_mathematical_structure_that
|
captures symmetry properties.
|
|
gptkbp:is_a_subject_of
|
gptkb:academic_research
mathematical education
mathematical research
|
|
gptkbp:is_a_tool_for
|
creating visual art
|
|
gptkbp:is_analyzed_in
|
gptkb:topology
algebraic methods
periodic patterns
|
|
gptkbp:is_applicable_to
|
gptkb:architecture
gptkb:graphic_design
gptkb:furniture
|
|
gptkbp:is_associated_with
|
gptkb:historical_artifacts
|
|
gptkbp:is_characterized_by
|
one-dimensional translational symmetry
|
|
gptkbp:is_connected_to
|
the theory of groups
|
|
gptkbp:is_defined_by
|
a set of symmetries
|
|
gptkbp:is_described_as
|
repeating motifs
|
|
gptkbp:is_essential_for
|
pattern formation
art and decoration
|
|
gptkbp:is_explored_in
|
theoretical mathematics
|
|
gptkbp:is_fundamental_to
|
geometry
|
|
gptkbp:is_part_of
|
the broader study of symmetry
|
|
gptkbp:is_related_to
|
geometric transformations
the study of aesthetics
Wallpaper Group
the study of tiling
|
|
gptkbp:is_relevant_to
|
the study of symmetry
|
|
gptkbp:is_represented_in
|
matrices
two dimensions
graphical models
|
|
gptkbp:is_set_in
|
symmetry groups
|
|
gptkbp:is_studied_in
|
gptkb:musical_group
mathematical art
|
|
gptkbp:is_used_in
|
gptkb:Graphics_Processing_Unit
design and architecture
pattern recognition
|
|
gptkbp:is_utilized_in
|
mathematical modeling
|
|
gptkbp:key_concept
|
design theory
|
|
gptkbp:scientific_classification
|
seven types
their symmetry properties
|
|
gptkbp:technique
|
understanding spatial relationships
|
|
gptkbp:type_of
|
plane symmetry group
|
|
gptkbp:bfsParent
|
gptkb:Frieze_Publishing
|
|
gptkbp:bfsLayer
|
6
|