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6-demicube (section Skew icosahedron)regular skew icosahedron {3, 5} with the same symmetries as the icosahedron itself, but at different angles. He dubbed this the regular skew icosahedron. Coxeter...10 KB (629 words) - 16:51, 9 April 2024- Regular polyhedron (redirect from Petrial icosahedron)perhaps only one has been found to be a true icosahedron, as opposed to a reinterpretation of the icosahedron dual, the dodecahedron. It is also possible...32 KB (3,126 words) - 21:09, 19 December 2024
Hexagon (redirect from Skew hexagon)faces are the truncated tetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncated cuboctahedron and the...31 KB (2,798 words) - 08:05, 25 November 2024- example, the regular icosahedron can be embedded into the vertices of the 6-demicube; this was named the regular skew icosahedron by H. S. M. Coxeter....14 KB (747 words) - 22:50, 29 May 2022
Decagon (redirect from Skew decagon)the first symmetric form, and 10 orientations for the other 6. A skew decagon is a skew polygon with 10 vertices and edges but not existing on the same...15 KB (1,851 words) - 07:19, 1 July 2024- In geometry, a skew apeirohedron is an infinite skew polyhedron consisting of nonplanar faces or nonplanar vertex figures, allowing the figure to extend...11 KB (861 words) - 04:01, 8 February 2024
4-dimensional analogue of the icosahedron, since it has five tetrahedra meeting at every edge, just as the icosahedron has five triangles meeting at every...217 KB (28,930 words) - 08:48, 21 December 2024
10 rhombi has 2 of its 4 sides lying on this zig-zag skew decagon equator. The rhombic icosahedron has 22 vertices. It has D5d, [2+,10], (2*5) symmetry...4 KB (391 words) - 16:40, 11 September 2024- draftsman are shown in an exquisite set of drawings of the stellated icosahedron, which provides much of the fascination of the much-discussed book he...9 KB (1,091 words) - 23:29, 16 December 2024
They may be obtained by stellating the regular convex dodecahedron and icosahedron, and differ from these in having regular pentagrammic faces or vertex...31 KB (2,312 words) - 14:56, 29 July 2024
List of regular polytopes (section Skew polygons)to the planar regular polygons there are infinitely many regular skew polygons. Skew polygons can be created via the blending operation. The blend of...100 KB (5,426 words) - 17:18, 4 January 2025- truncated trapezohedron Hill tetrahedron Holyhedron Infinite skew polyhedron Jessen's icosahedron Near-miss Johnson solid Parallelepiped Pentagonal bifrustum...47 KB (3,579 words) - 21:06, 4 December 2024
- Regular polygon (redirect from Skew regular polygon)polygon in orthogonal projection. In the infinite limit regular skew polygons become skew apeirogons. A non-convex regular polygon is a regular star polygon...30 KB (3,210 words) - 22:09, 27 December 2024
- cube, and dodecahedron and that the discovery of the octahedron and icosahedron belong to Theaetetus, a contemporary of Plato. In any case, Theaetetus...54 KB (5,615 words) - 13:46, 4 January 2025
edges, and 6 skew decagonal faces, and Euler characteristic of −4, related to the hyperbolic tiling as type {10,3}5. The petrial icosahedron, {3,5}π, has...9 KB (626 words) - 09:47, 31 August 2024- truncated trapezohedron Hill tetrahedron Holyhedron Infinite skew polyhedron Jessen's icosahedron Near-miss Johnson solid Parallelepiped Pentagonal bifrustum...30 KB (2,690 words) - 10:23, 24 November 2024
- Exsphere (polyhedra) (section Icosahedron)complement are the same, 90 degrees. The dihedral angle applicable to the Icosahedron is derived by considering the coordinates of two triangles with a common...4 KB (722 words) - 13:49, 3 September 2021
- graphs. The 5-cube can be projected down to 3 dimensions with a rhombic icosahedron envelope. There are 22 exterior vertices, and 10 interior vertices. The...10 KB (826 words) - 03:51, 20 April 2024
edge-bonded triangles (10 in the case of the icosahedron) the Petrie polygon can be picked out as a skew polygon of edges zig-zagging (not circling) through...129 KB (14,415 words) - 11:52, 28 November 2024- Isogonal apeirogons Isogonal skew apeirogons...9 KB (694 words) - 09:42, 15 August 2024
- Ellipse, Parabola, Hyperbola; Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron; Cardioid, Catenary, Cissoid, Conchoid, Cycloid, Epicycloid, Limaçon
- experimentally determined through the use of icosahedral reconstruction. An icosahedron belongs to the high symmetry group Ih which contains 120 symmetry operations