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  2. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    In the mathematical field of graph theory, a rhombicosidodecahedral graph is the graph of vertices and edges of the rhombicosidodecahedron, one of the Archimedean solids. It has 60 vertices and 120 edges, and is a quartic graph Archimedean graph. [5] Square centered Schlegel diagram

  3. List of uniform polyhedra - Wikipedia

    en.wikipedia.org/wiki/List_of_uniform_polyhedra

    In geometry, 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). It follows that all vertices are congruent, and the polyhedron has a high degree of reflectional and rotational symmetry.

  4. Dodecahedron - Wikipedia

    en.wikipedia.org/wiki/Dodecahedron

    The pyritohedron has a geometric degree of freedom with limiting cases of a cubic convex hull at one limit of collinear edges, and a rhombic dodecahedron as the other limit as 6 edges are degenerated to length zero. The regular dodecahedron represents a special intermediate case where all edges and angles are equal.

  5. List of small polyhedra by vertex count - Wikipedia

    en.wikipedia.org/wiki/List_of_small_polyhedra_by...

    In geometry, a polyhedron is a solid in three dimensions with flat faces and straight edges. Every edge has exactly two faces, and every vertex is surrounded by alternating faces and edges. The smallest polyhedron is the tetrahedron with 4 triangular faces, 6 edges, and 4 vertices.

  6. Rhombic dodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombic_dodecahedron

    3D model of a rhombic dodecahedron. In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces.It has 24 edges, and 14 vertices of 2 types. As a Catalan solid, it is the dual polyhedron of the cuboctahedron.

  7. Tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron

    The skeleton of the tetrahedron (comprising the vertices and edges) forms a graph, with 4 vertices, and 6 edges. It is a special case of the complete graph, K 4, and wheel graph, W 4. [48] It is one of 5 Platonic graphs, each a skeleton of its Platonic solid.

  8. Polygon mesh - Wikipedia

    en.wikipedia.org/wiki/Polygon_mesh

    A position (usually in 3D space) along with other information such as color, normal vector and texture coordinates. edge A connection between two vertices. face A closed set of edges, in which a triangle face has three edges, and a quad face has four edges. A polygon is a coplanar set of faces. In systems that support multi-sided faces ...

  9. Cube - Wikipedia

    en.wikipedia.org/wiki/Cube

    It has the same number of vertices and edges as the cube, twelve vertices and eight edges. [ 29 ] The cubical graph is a special case of hypercube graph or n {\displaystyle n} - cube—denoted as Q n {\displaystyle Q_{n}} —because it can be constructed by using the operation known as the Cartesian product of graphs .

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