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- {{short description|Family of tetrahedra on an integer lattice}} [[File:reeve_tetrahedrons.svg|thumb|upright=1.1|The Reeve tetrahedra for {{math|1=''r'' = 1, 2, 3}} have the same number of interior ({{mvar|i}} ...4 KB (616 words) - 10:18, 16 January 2025
- |align=center colspan=2|[[File:Rotating Uniform Compound of 4 Tetrahedra.gif|frameless]] |bgcolor=#e7dcc3|Polyhedra||4 digonal antiprisms ([[Regular tetrahedron|tetrahedra]]) ...5 KB (668 words) - 13:49, 8 December 2024
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- {{short description|Configuration of 3 tetrahedra in projective geometry}} [[image:Compound of two tetrahedra.png|thumb|right|Two desmic tetrahedra. The third tetrahedron of this system is not shown, but has one vertex at t ...3 KB (373 words) - 00:02, 19 August 2023
- |align=center colspan=2|[[File:Rotating Uniform Compound of 4 Tetrahedra.gif|frameless]] |bgcolor=#e7dcc3|Polyhedra||4 digonal antiprisms ([[Regular tetrahedron|tetrahedra]]) ...5 KB (668 words) - 13:49, 8 December 2024
- ...' are a family of [[Space-filling polyhedron|space-filling]] [[tetrahedron|tetrahedra]]. They were discovered in 1896 by [[Micaiah John Muller Hill|M. J. M. Hil ...//demonstrations.wolfram.com/SpaceFillingTetrahedra/|title = Space-Filling Tetrahedra - Wolfram Demonstrations Project}}</ref> ...3 KB (426 words) - 03:05, 20 July 2024
- {{short description|Family of tetrahedra on an integer lattice}} [[File:reeve_tetrahedrons.svg|thumb|upright=1.1|The Reeve tetrahedra for {{math|1=''r'' = 1, 2, 3}} have the same number of interior ({{mvar|i}} ...4 KB (616 words) - 10:18, 16 January 2025
- ...png|thumb|2-3 Pachner move: a union of 2 tetrahedra gets decomposed into 3 tetrahedra.]] ...2 KB (230 words) - 21:30, 28 October 2022
- ...=2|[[File:Kaleidocycle6-limiting-case-blue-double-edges.gif|240px]]<br>Six tetrahedra whose vertices meet at the center. Blue edges are doubled with pairs of fac ...cycle''' or '''flextangle''' is a [[flexible polyhedron]] connecting six [[tetrahedra]] (or [[tetragonal disphenoid|disphenoid]]s) on opposite edges into a cycle ...5 KB (706 words) - 14:07, 23 September 2024
- All tetrahedra can be inscribed in a [[parallelepiped]]. A tetrahedron is orthocentric [[i [[Category:Tetrahedra]] ...4 KB (533 words) - 05:17, 21 October 2024
- ...on]] inscribed in a cube (on the left), and one of the four trirectangular tetrahedra that surround it (on the right), filling the cube.]] *[[Tetrahedron#Irregular tetrahedra|Irregular tetrahedra]] ...5 KB (678 words) - 03:42, 19 December 2024
- ...he tetrahedron of the remaining 4 points form a [[desmic system]] of three tetrahedra. ...analogous to the interpretation of the Reye configuration involving desmic tetrahedra. ...7 KB (998 words) - 19:16, 4 December 2023
- # [[Octahedral pyramid]], ( ) ∨ {3,4}, an [[octahedron]] base, and 8 [[tetrahedra]] sides meeting at an apex. ...Icosahedral pyramid]], ( ) ∨ {3,5}, an [[icosahedron]] base, and 20 [[tetrahedra]] sides. ...5 KB (617 words) - 02:03, 6 January 2025
- {{short description|Geometric system of two mutually inscribed tetrahedra}} ...umb|right|Example of Möbius configuration with face planes of each colored tetrahedra shown.<br/> ...12 KB (1,671 words) - 19:15, 17 November 2023
- {{short description|Linear stacking of regular tetrahedra that form helices}} |+ Coxeter helices from regular tetrahedra ...10 KB (1,315 words) - 22:35, 11 April 2024
- [[File:Tetrahedron symmetry tree.png|thumb|Symmetries of tetrahedra]] ...edron having 14 rows and columns for the 4 vertices, 6 edges, and 4 faces. Tetrahedra are self-dual, and rotating the matices 180 degrees (swapping vertices and ...11 KB (1,449 words) - 07:08, 8 April 2024
- ...ce.{{r|hh}} However, this does not always work. In particular, there exist tetrahedra for which none of the vertices have altitudes with a foot inside the opposi {{harvtxt|Böhm|1980}} proved that this is optimal: there exist tetrahedra that cannot be dissected into fewer than 12 orthoschemes.{{r|bohm}} In the ...8 KB (1,055 words) - 07:54, 5 December 2024
- ==== The space of all shapes of tetrahedra ==== ...int is not independent of the first three. Thus the space of all shapes of tetrahedra is 5-dimensional.<ref>{{Cite journal |title=Is There a "Most Chiral Tetrahe ...12 KB (2,171 words) - 03:08, 20 July 2024
- ...title=The Euler and Grace-Danielsson inequalities for nested triangles and tetrahedra: A derivation and generalisation using quantum information theory|journal=J ...6 KB (831 words) - 16:43, 4 January 2025
- ...d each edge. All vertices are [[ideal vertex|ideal]], with infinitely many tetrahedra existing around each vertex in a [[triangular tiling]] [[vertex figure]].<r [[Category:Tetrahedra]] ...12 KB (1,480 words) - 00:13, 16 January 2025
- ...dron|tetrahedra]],<BR>and red and purple [[Truncated tetrahedron|truncated tetrahedra]] ...8 KB (1,024 words) - 10:41, 27 January 2025
- ...px]]<BR>With cyan and yellow [[tetrahedron|tetrahedra]], and red rectified tetrahedra ([[octahedron|octahedra]]) |4+4 [[tetrahedron]]<BR>6 [[octahedron|rectified tetrahedra]] ...10 KB (1,341 words) - 15:52, 25 November 2024
- ...], these polyhedra have no [[Triangulation (geometry)|triangulation]] into tetrahedra unless additional vertices are introduced.{{r|carbez}} | contribution = Tiling polyhedra with tetrahedra ...6 KB (829 words) - 16:34, 9 September 2022