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Schläfli symbol and Truncated trioctagonal tiling

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Schläfli symbol and Truncated trioctagonal tiling

Schläfli symbol vs. Truncated trioctagonal tiling

In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations. In geometry, the truncated trioctagonal tiling is a semiregular tiling of the hyperbolic plane.

Similarities between Schläfli symbol and Truncated trioctagonal tiling

Schläfli symbol and Truncated trioctagonal tiling have 13 things in common (in Unionpedia): Coxeter notation, Coxeter–Dynkin diagram, Dual polyhedron, Geometry, Hexagon, Omnitruncation, Order-8 triangular tiling, Square, Triangle, Truncated order-8 triangular tiling, Truncated triheptagonal tiling, Truncated trihexagonal tiling, Uniform tilings in hyperbolic plane.

Coxeter notation

In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between with fundamental reflections of a Coxeter group in a bracketed notation expressing the structure of a Coxeter-Dynkin diagram, with modifiers to indicate certain subgroups.

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Coxeter–Dynkin diagram

In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).

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Dual polyhedron

In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Hexagon

In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six-sided polygon or 6-gon.

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Omnitruncation

In geometry, an omnitruncation is an operation applied to a regular polytope (or honeycomb) in a Wythoff construction that creates a maximum number of facets.

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Order-8 triangular tiling

In geometry, the order-8 triangular tiling is a regular tiling of the hyperbolic plane.

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Square

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.

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Triangle

A triangle is a polygon with three edges and three vertices.

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Truncated order-8 triangular tiling

In geometry, the Truncated order-8 triangular tiling is a semiregular tiling of the hyperbolic plane.

Schläfli symbol and Truncated order-8 triangular tiling · Truncated order-8 triangular tiling and Truncated trioctagonal tiling · See more »

Truncated triheptagonal tiling

In geometry, the truncated triheptagonal tiling is a semiregular tiling of the hyperbolic plane.

Schläfli symbol and Truncated triheptagonal tiling · Truncated triheptagonal tiling and Truncated trioctagonal tiling · See more »

Truncated trihexagonal tiling

In geometry, the truncated trihexagonal tiling is one of eight semiregular tilings of the Euclidean plane.

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Uniform tilings in hyperbolic plane

In hyperbolic geometry, a uniform (regular, quasiregular or semiregular) hyperbolic tiling is an edge-to-edge filling of the hyperbolic plane which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).

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The list above answers the following questions

Schläfli symbol and Truncated trioctagonal tiling Comparison

Schläfli symbol has 224 relations, while Truncated trioctagonal tiling has 26. As they have in common 13, the Jaccard index is 5.20% = 13 / (224 + 26).

References

This article shows the relationship between Schläfli symbol and Truncated trioctagonal tiling. To access each article from which the information was extracted, please visit:

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