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Tesseract and Tesseractic honeycomb

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

Difference between Tesseract and Tesseractic honeycomb

Tesseract vs. Tesseractic honeycomb

In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square. In four-dimensional euclidean geometry, the tesseractic honeycomb is one of the three regular space-filling tessellations (or honeycombs), represented by Schläfli symbol, and constructed by a 4-dimensional packing of tesseract facets.

Similarities between Tesseract and Tesseractic honeycomb

Tesseract and Tesseractic honeycomb have 14 things in common (in Unionpedia): Cube, Dual polyhedron, Face (geometry), Four-dimensional space, Harold Scott MacDonald Coxeter, Isogonal figure, Isohedral figure, Isotoxal figure, Regular polytope, Regular Polytopes (book), Schläfli symbol, Square, Vertex figure, 16-cell.

Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

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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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Face (geometry)

In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.

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Four-dimensional space

A four-dimensional space or 4D space is a mathematical extension of the concept of three-dimensional or 3D space.

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Harold Scott MacDonald Coxeter

Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.

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Isogonal figure

In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure.

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Isohedral figure

In geometry, a polytope of dimension 3 (a polyhedron) or higher is isohedral or face-transitive when all its faces are the same.

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Isotoxal figure

In geometry, a polytope (for example, a polygon or a polyhedron), or a tiling, is isotoxal or edge-transitive if its symmetries act transitively on its edges.

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Regular polytope

In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.

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Regular Polytopes (book)

Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.

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Schläfli symbol

In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.

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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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Vertex figure

In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.

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16-cell

In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.

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The list above answers the following questions

Tesseract and Tesseractic honeycomb Comparison

Tesseract has 83 relations, while Tesseractic honeycomb has 40. As they have in common 14, the Jaccard index is 11.38% = 14 / (83 + 40).

References

This article shows the relationship between Tesseract and Tesseractic honeycomb. To access each article from which the information was extracted, please visit:

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