Faster access than browser!Similarities between Cubic honeycomb and Uniform 4-polytope
Cubic honeycomb and Uniform 4-polytope have 35 things in common (in Unionpedia): Alternation (geometry), Branko Grünbaum, Chaim Goodman-Strauss, Convex uniform honeycomb, Coxeter group, Coxeter notation, Coxeter–Dynkin diagram, Cube, Cubic honeycomb, Cuboctahedron, Dual polyhedron, Expansion (geometry), Harold Scott MacDonald Coxeter, Isogonal figure, John Horton Conway, Octagonal prism, Octahedron, Point group, Regular polytope, Rhombicuboctahedron, Schläfli symbol, Snub cube, Square antiprism, Square pyramid, Tesseract, Tetrahedron, Triangle, Triangular cupola, Triangular prism, Truncated cube, ..., Truncated cuboctahedron, Truncated octahedron, Uniform polyhedron, Vertex figure, Wythoff construction. Expand index (5 more) »
Alternation (geometry)
In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.
Alternation (geometry) and Cubic honeycomb · Alternation (geometry) and Uniform 4-polytope ·
Branko Grünbaum
Branko Grünbaum (ברנקו גרונבאום; born 2 October 1929) is a Yugoslavian-born mathematician and a professor emeritus at the University of Washington in Seattle.
Branko Grünbaum and Cubic honeycomb · Branko Grünbaum and Uniform 4-polytope ·
Chaim Goodman-Strauss
Chaim Goodman-Strauss (born June 1967 in Austin TX) is an American mathematician who works in convex geometry, especially aperiodic tiling.
Chaim Goodman-Strauss and Cubic honeycomb · Chaim Goodman-Strauss and Uniform 4-polytope ·
Convex uniform honeycomb
In geometry, a convex uniform honeycomb is a uniform tessellation which fills three-dimensional Euclidean space with non-overlapping convex uniform polyhedral cells.
Convex uniform honeycomb and Cubic honeycomb · Convex uniform honeycomb and Uniform 4-polytope ·
Coxeter group
In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).
Coxeter group and Cubic honeycomb · Coxeter group and Uniform 4-polytope ·
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.
Coxeter notation and Cubic honeycomb · Coxeter notation and Uniform 4-polytope ·
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).
Coxeter–Dynkin diagram and Cubic honeycomb · Coxeter–Dynkin diagram and Uniform 4-polytope ·
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.
Cube and Cubic honeycomb · Cube and Uniform 4-polytope ·
Cubic honeycomb
The cubic honeycomb or cubic cellulation is the only regular space-filling tessellation (or honeycomb) in Euclidean 3-space, made up of cubic cells.
Cubic honeycomb and Cubic honeycomb · Cubic honeycomb and Uniform 4-polytope ·
Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.
Cubic honeycomb and Cuboctahedron · Cuboctahedron and Uniform 4-polytope ·
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.
Cubic honeycomb and Dual polyhedron · Dual polyhedron and Uniform 4-polytope ·
Expansion (geometry)
In geometry, expansion is a polytope operation where facets are separated and moved radially apart, and new facets are formed at separated elements (vertices, edges, etc.). Equivalently this operation can be imagined by keeping facets in the same position but reducing their size.
Cubic honeycomb and Expansion (geometry) · Expansion (geometry) and Uniform 4-polytope ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
Cubic honeycomb and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 4-polytope ·
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.
Cubic honeycomb and Isogonal figure · Isogonal figure and Uniform 4-polytope ·
John Horton Conway
John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.
Cubic honeycomb and John Horton Conway · John Horton Conway and Uniform 4-polytope ·
Octagonal prism
In geometry, the octagonal prism is the sixth in an infinite set of prisms, formed by square sides and two regular octagon caps.
Cubic honeycomb and Octagonal prism · Octagonal prism and Uniform 4-polytope ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
Cubic honeycomb and Octahedron · Octahedron and Uniform 4-polytope ·
Point group
In geometry, a point group is a group of geometric symmetries (isometries) that keep at least one point fixed.
Cubic honeycomb and Point group · Point group and Uniform 4-polytope ·
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.
Cubic honeycomb and Regular polytope · Regular polytope and Uniform 4-polytope ·
Rhombicuboctahedron
In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces.
Cubic honeycomb and Rhombicuboctahedron · Rhombicuboctahedron and Uniform 4-polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
Cubic honeycomb and Schläfli symbol · Schläfli symbol and Uniform 4-polytope ·
Snub cube
In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles.
Cubic honeycomb and Snub cube · Snub cube and Uniform 4-polytope ·
Square antiprism
In geometry, the square antiprism is the second in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps.
Cubic honeycomb and Square antiprism · Square antiprism and Uniform 4-polytope ·
Square pyramid
In geometry, a square pyramid is a pyramid having a square base.
Cubic honeycomb and Square pyramid · Square pyramid and Uniform 4-polytope ·
Tesseract
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.
Cubic honeycomb and Tesseract · Tesseract and Uniform 4-polytope ·
Tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
Cubic honeycomb and Tetrahedron · Tetrahedron and Uniform 4-polytope ·
Triangle
A triangle is a polygon with three edges and three vertices.
Cubic honeycomb and Triangle · Triangle and Uniform 4-polytope ·
Triangular cupola
In geometry, the triangular cupola is one of the Johnson solids (J3).
Cubic honeycomb and Triangular cupola · Triangular cupola and Uniform 4-polytope ·
Triangular prism
In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.
Cubic honeycomb and Triangular prism · Triangular prism and Uniform 4-polytope ·
Truncated cube
In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid.
Cubic honeycomb and Truncated cube · Truncated cube and Uniform 4-polytope ·
Truncated cuboctahedron
In geometry, the truncated cuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron.
Cubic honeycomb and Truncated cuboctahedron · Truncated cuboctahedron and Uniform 4-polytope ·
Truncated octahedron
In geometry, the truncated octahedron is an Archimedean solid.
Cubic honeycomb and Truncated octahedron · Truncated octahedron and Uniform 4-polytope ·
Uniform polyhedron
A uniform polyhedron is a polyhedron 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).
Cubic honeycomb and Uniform polyhedron · Uniform 4-polytope and Uniform polyhedron ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
Cubic honeycomb and Vertex figure · Uniform 4-polytope and Vertex figure ·
Wythoff construction
In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.
Cubic honeycomb and Wythoff construction · Uniform 4-polytope and Wythoff construction ·
The list above answers the following questions
- What Cubic honeycomb and Uniform 4-polytope have in common
- What are the similarities between Cubic honeycomb and Uniform 4-polytope
Cubic honeycomb and Uniform 4-polytope Comparison
Cubic honeycomb has 86 relations, while Uniform 4-polytope has 145. As they have in common 35, the Jaccard index is 15.15% = 35 / (86 + 145).
References
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