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Isogonal figure

In geometry, a polytope (e.g. a polygon or polyhedron) or a tiling is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure. This implies that each vertex is surrounded by the same kinds of face in the same or reverse order, and with the same angles between corresponding faces.

Standards, Isogonal polyhedra and 2D tilings & Overview

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Isogonal polyhedra and 2D tilings

UniformVertex configurationRegularIsohedralIsotoxal
9 related topics

Overview

GeometryPolytopePolygonPolyhedronTiling
18 related topics

Isogonal polygons and apeirogons

Regular polygonsApeirogonsRegular star polygonsDualIsotoxal polygon
7 related topics

N dimensions: Isogonal polytopes and tessellations

TessellationsUniform polytopesUniform 4-polytopesConvex uniform honeycombsDual
7 related topics

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Overview

Isogonal polygons and apeirogons

Isogonal polyhedra and 2D tilings

N dimensions: Isogonal polytopes and tessellations

K-isogonal and k-uniform figures

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Isogonal figure

Nodes48
Edges47
Triples3
Avg. degree1.96
Density0.041667
Components1

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Isogonal figure

Top relations

related to k-isogonal and k-uniform figures · 1
Isogonal figure → They

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Important terminology

isogonal vertices regular polytope also symmetry isohedral polyhedra tiling figure tilings k-isogonal polyhedron isotoxal uniform face-transitive polygon k-uniform face edge-transitive

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
symmetry groupsinstance ofVertex-transitive is a synonym borrowed from modern ideas0.80text
graph theory.The pseudorhombicuboctahedroninstance ofVertex-transitive is a synonym borrowed from modern ideas0.80text
Isogonal figurerelated to k-isogonal and k-uniform figuresThey0.60section

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