• Thumbnail for Augmented truncated tetrahedron
    geometry, the augmented truncated tetrahedron is a polyhedron constructed by attaching a triangular cupola onto a truncated tetrahedron. It is an example...
    5 KB (487 words) - 16:25, 11 March 2025
  • Thumbnail for Truncated tetrahedron
    constructed by truncating all 4 vertices of a regular tetrahedron. The truncated tetrahedron can be constructed from a regular tetrahedron by cutting all...
    15 KB (1,483 words) - 22:12, 1 July 2025
  • Thumbnail for Triakis tetrahedron
    of an augmented tetrahedron is a triakis tetrahedron. Truncated triakis tetrahedron Smith, Anthony (1965), "Stellations of the Triakis Tetrahedron", The...
    6 KB (564 words) - 01:24, 3 August 2025
  • Thumbnail for Hexagon
    Hexagon (redirect from Truncated triangle)
    the truncated tetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncated cuboctahedron and the truncated icosidodecahedron...
    31 KB (2,873 words) - 12:40, 27 July 2025
  • Thumbnail for Triangular cupola
    J_{44}} , augmented truncated tetrahedron J 65 {\displaystyle J_{65}} . The triangular cupola may also be applied in constructing truncated tetrahedron, although...
    8 KB (848 words) - 12:45, 16 July 2025
  • Augmented tridiminished icosahedron Augmented truncated cube Augmented truncated dodecahedron Augmented truncated tetrahedron Biaugmented pentagonal prism Biaugmented...
    46 KB (3,545 words) - 22:21, 19 July 2025
  • Thumbnail for Chamfer (geometry)
    versions. The chamfered tetrahedron or alternate truncated cube is a convex polyhedron constructed: by chamfering a regular tetrahedron: replacing its 6 edges...
    25 KB (1,277 words) - 09:41, 23 June 2025
  • Thumbnail for Tetradecahedron
    hexagonal prism (8 triangles, 4 squares, 2 hexagons) J65: Augmented truncated tetrahedron (8 triangles, 3 squares, 3 hexagons) J86: Sphenocorona (12...
    6 KB (591 words) - 03:28, 24 June 2025
  • icosahedron Augmented tridiminished icosahedron Augmented truncated tetrahedron Augmented truncated cube Biaugmented truncated cube Augmented truncated dodecahedron...
    19 KB (1,799 words) - 11:38, 19 June 2025
  • Augmented tridiminished icosahedron Augmented truncated cube Augmented truncated dodecahedron Augmented truncated tetrahedron Biaugmented pentagonal prism Biaugmented...
    30 KB (2,692 words) - 15:23, 9 February 2025
  • hexagonal frustum is topologically equivalent. Truncated tetrahedron: The four faces from the tetrahedron are truncated to become regular hexagons, and there are...
    13 KB (1,273 words) - 14:28, 26 July 2025
  • Thumbnail for Truncated tetrakis cube
    triakis tetrahedron is called a hexakis truncated octahedron. It is constructed by a truncated octahedron with hexagonal pyramids augmented. Truncated triakis...
    2 KB (114 words) - 01:49, 10 August 2024
  • Thumbnail for Truncated triakis octahedron
    DaYan Gem 6 is a twisty puzzle in this shape. Truncated triakis tetrahedron Truncated tetrakis cube Truncated triakis icosahedron "TwistyPuzzles.com > Museum...
    2 KB (134 words) - 12:49, 23 February 2025
  • monorectified tetrahedron Elongated octahedron Tetratetrahedron, triangulated tetrahedron Augmented triangular cupola Triangulated truncated triangular bipyramid...
    7 KB (327 words) - 14:02, 18 March 2025
  • Thumbnail for Truncated triakis icosahedron
    decakis truncated dodecahedron. It can be seen as a truncated dodecahedron with decagonal pyramids augmented to the faces. Truncated triakis tetrahedron Truncated...
    2 KB (109 words) - 20:00, 12 March 2025
  • surrounded by alternating faces and edges. The smallest polyhedron is the tetrahedron with 4 triangular faces, 6 edges, and 4 vertices. Named polyhedra primarily...
    8 KB (155 words) - 05:12, 14 May 2024
  • J65 may refer to: Augmented truncated tetrahedron HMS Bridlington (J65), a minesweeper of the Royal Navy LNER Class J65, a British steam locomotive class...
    257 bytes (66 words) - 23:30, 23 October 2024
  • Thumbnail for Tetrahedral-octahedral honeycomb
    an order-3 truncated triakis tetrahedron. This honeycomb is the dual of the triakis truncated tetrahedral honeycomb, with triakis truncated tetrahedral...
    33 KB (2,203 words) - 11:30, 14 July 2025
  • regular tetrahedron, the resulting polyhedron has twelve isosceles triangles. It is face-transitive and Rupert property. It is the dual of truncated tetrahedron...
    33 KB (2,608 words) - 07:33, 5 August 2025
  • Thumbnail for Regular dodecahedron
    since antiquity. The regular dodecahedron is a truncated trapezohedron because it is the result of truncating axial vertices of a pentagonal trapezohedron...
    40 KB (4,046 words) - 23:51, 29 July 2025
  • Thumbnail for Geodesic polyhedron
    the base form. There are 3 symmetry classes of forms: {3,3+}1,0 for a tetrahedron, {3,4+}1,0 for an octahedron, and {3,5+}1,0 for an icosahedron. The dual...
    17 KB (1,147 words) - 01:51, 14 June 2025
  • Horiyama, Takashi; Uehara, Ryuhei (2015). "Common Unfolding of Regular Tetrahedron and Johnson-Zalgaller Solid". In Rahman, M. Sohel; Tomita, Etsuji (eds...
    48 KB (1,395 words) - 20:08, 28 July 2025
  • Thumbnail for Hexadecahedron
    pentagonal pyramid Gyroelongated square bipyramid Augmented dodecahedron Truncated triakis tetrahedron Counting polyhedra Symmetries of Canonical Self-Dual...
    2 KB (175 words) - 22:24, 15 April 2024
  • Thumbnail for Triangular prism
    triangular pyramid are constructed by attaching tetrahedron onto the base of a triangular prism. The augmented triangular prism, biaugmented triangular prism...
    19 KB (1,628 words) - 04:15, 14 July 2025
  • Thumbnail for Diminished trapezohedron
    topologically self-dual. It can also be seen as an augmented n-gonal antiprism, with a n-gonal pyramid augmented onto one of the n-gonal faces, and whose height...
    8 KB (338 words) - 20:15, 4 November 2023
  • Thumbnail for Ten-of-diamonds decahedron
    as a triakis tetrahedron, with two pairs of coplanar triangles merged into rhombic faces. The dual is similar to a truncated tetrahedron, except two edges...
    9 KB (724 words) - 15:52, 26 March 2024
  • Thumbnail for Snub 24-cell
    during truncation. The snub 24-cell is related to the truncated 24-cell by an alternation operation. Half the vertices are deleted, the 24 truncated octahedron...
    19 KB (1,780 words) - 03:26, 21 October 2024
  • Thumbnail for Nelder–Mead method
    segment in one-dimensional space, a triangle in two-dimensional space, a tetrahedron in three-dimensional space, and so forth. The method approximates a local...
    17 KB (2,380 words) - 12:42, 30 July 2025
  • Thumbnail for Square antiprism
    }} . (This is the analog to the tetrahedral bond angle of the regular tetrahedron.) Square antiprismatic molecular geometry One World Trade Center building...
    9 KB (1,084 words) - 20:59, 25 June 2025
  • Thumbnail for Klein quartic
    models with tetrahedral symmetry most often have convex hull a truncated tetrahedron – see (Schulte & Wills 1985) and (Scholl, Schürmann & Wills 2002)...
    27 KB (3,263 words) - 22:17, 18 October 2024