• A deltahedron is a polyhedron whose faces are all equilateral triangles. The deltahedron was named by Martyn Cundy, after the Greek capital letter delta...
    16 KB (1,511 words) - 11:52, 27 February 2025
  • Thumbnail for Equilateral triangle
    triangle can be found in various tilings, and in polyhedrons such as the deltahedron and antiprism. It appears in real life in popular culture, architecture...
    25 KB (2,699 words) - 02:44, 3 March 2025
  • Thumbnail for Toroidal polyhedron
    fewest possible faces of any embedded toroidal polyhedron. A toroidal deltahedron was described by John H. Conway in 1997, containing 18 vertices and 36...
    12 KB (997 words) - 01:27, 30 April 2024
  • Thumbnail for Snub disphenoid
    polyhedron with 12 equilateral triangles as its faces. It is an example of deltahedron and Johnson solid. It can be constructed in different approaches. This...
    16 KB (1,872 words) - 00:24, 31 December 2024
  • Thumbnail for Regular icosahedron
    edges, and 12 vertices. It is an example of a Platonic solid and of a deltahedron. The icosahedral graph represents the skeleton of a regular icosahedron...
    46 KB (4,585 words) - 11:37, 3 March 2025
  • Thumbnail for Triangular bipyramid
    faces of a triangular bipyramid are equilateral. It is an example of a deltahedron, composite polyhedron, and Johnson solid. Many polyhedra are related...
    17 KB (1,556 words) - 09:48, 27 February 2025
  • Thumbnail for Gyroelongated square bipyramid
    names mean a polyhedron with 16 triangular faces. It is an example of deltahedron, and of a Johnson solid. The dual polyhedron of the gyroelongated square...
    9 KB (973 words) - 15:30, 3 December 2024
  • Thumbnail for Triangle
    simplicial polyhedron because all of its faces are triangles. More specifically, when the faces are equilateral, it is categorized as a deltahedron....
    54 KB (6,460 words) - 06:10, 19 February 2025
  • Thumbnail for Triaugmented triangular prism
    names mean a polyhedron with 14 triangular faces. It is an example of a deltahedron, composite polyhedron, and Johnson solid. The edges and vertices of the...
    19 KB (2,047 words) - 06:16, 26 September 2024
  • Thumbnail for Square antiprism
    square pyramid. Similarly, the gyroelongated square bipyramid (J17) is a deltahedron (a polyhedron whose faces are all equilateral triangles) constructed...
    7 KB (784 words) - 21:33, 22 May 2023
  • solid Uniform polyhedron Polyhedral compound Hilbert's third problem Deltahedron Surface normal 3-sphere, spheroid, ellipsoid Parabolic microphone Parabolic...
    13 KB (914 words) - 10:26, 25 December 2024
  • are the same length. The regular tetrahedron is the simplest convex deltahedron, a polyhedron in which all of its faces are equilateral triangles; there...
    75 KB (9,506 words) - 18:59, 2 March 2025
  • {4,3}, and the octahedron as {3,4}. Archimedean solid Catalan solid Deltahedron Johnson solid Goldberg polyhedron Kepler-Poinsot polyhedron List of regular...
    54 KB (5,615 words) - 13:24, 25 February 2025
  • Thumbnail for Sonobe
    faces: Sonobe modules can replace each notional edge of the original deltahedron by the central diagonal fold of one unit and each equilateral triangle...
    12 KB (1,230 words) - 17:32, 14 November 2024
  • Thumbnail for Polyhedron
    Catalan solids. The class of regular polygonal faces polyhedron are the deltahedron (whose faces are all equilateral triangles and Johnson solids (whose...
    97 KB (10,636 words) - 00:56, 3 March 2025
  • Thumbnail for Compound of three octahedra
    has the same symmetry group as a single octahedron. It is an isohedral deltahedron, meaning that its faces are equilateral triangles and that it has a symmetry...
    10 KB (1,207 words) - 07:24, 30 June 2024
  • Thumbnail for Goldner–Harary graph
    Realization of the Goldner–Harary graph as the deltahedron obtained by attaching regular tetrahedra to the six faces of a triangular dipyramid....
    6 KB (686 words) - 20:01, 17 April 2024
  • Thumbnail for Glossary of shapes with metaphorical names
    D-ring Deltoid, the shape that resembles the Greek capital letter Δ Deltahedron Deltoid muscle River delta Delta wing E-shape, the shape that resembles...
    12 KB (1,423 words) - 16:30, 28 September 2024
  • Johnson solids. A polyhedron having regular triangles as faces is called a deltahedron. Euclidean tilings by convex regular polygons Platonic solid List of...
    31 KB (3,223 words) - 07:58, 5 March 2025
  • Thumbnail for Pentagonal bipyramid
    triangles. A polyhedron with only equilateral triangles as faces is called a deltahedron. There are only eight different convex deltahedra, one of which is the...
    12 KB (1,213 words) - 17:45, 26 October 2024
  • Thumbnail for Tetrahedral-octahedral honeycomb
    the other; in the gyroelongated form, the prism meets the same kind of deltahedron at each end. The elongated alternated cubic honeycomb or elongated triangular...
    33 KB (2,203 words) - 14:44, 10 February 2025
  • deletion, indelible delt- D, d Greek Δ, δ, δέλτα (délta) delta, deltoid, deltahedron dem-, dom- build Greek δέμειν (démein), δῶμα, δῶματος, δομή, δόμος (dómos)...
    2 KB (1,500 words) - 22:12, 13 November 2024
  • Thumbnail for Great icosahedron
    [5,3], (*532) References U53, C69, W41 Properties Regular nonconvex deltahedron (35)/2 (Vertex figure) Great stellated dodecahedron (dual polyhedron)...
    7 KB (530 words) - 12:24, 30 December 2024
  • Thumbnail for Edge-contracted icosahedron
    18 triangles Edges 27 Vertices 11 Vertex configuration 2 (34) 8 (35) 1 (36) Symmetry group C2v, [2], (*22), order 4 Properties Convex, deltahedron Net...
    3 KB (270 words) - 05:55, 20 February 2025
  • hypho-, based on whether they represent a complete (closo-) deltahedron, or a deltahedron that is missing one (nido-), two (arachno-) or three (hypho-)...
    20 KB (2,190 words) - 16:15, 15 October 2024
  • Thumbnail for Trapezohedron
    isosceles triangles or "deltas" (Δ), base-to-base. Weisstein, Eric W. "Deltahedron". MathWorld. Retrieved 2024-04-28. Spencer 1911, p. 575, or p. 597 on...
    17 KB (1,463 words) - 10:03, 14 September 2024
  • Trapezo-rhombic dodecahedron Rhombo-hexagonal dodecahedron Truncated trapezohedron Deltahedron Zonohedron Prismatoid Cupola Bicupola Dihedron Hosohedron Convex uniform...
    47 KB (3,579 words) - 21:06, 4 December 2024
  • Thumbnail for Pentakis dodecahedron
    pyramids with equilateral triangles are used, the result is a non-convex deltahedron. Any such elevated dodecahedron has the same combinatorial structure...
    6 KB (754 words) - 07:27, 17 May 2024
  • term is "bisdisphenoid" or "snub disphenoid" as this polyhedron is a deltahedron) [Mo(CN)8]4− in K4[Mo(CN)8]·2H2O Zr in K2[ZrF6] 8 bicapped trigonal prismatic...
    12 KB (689 words) - 08:18, 26 January 2024
  • Thumbnail for Pentagrammic prism
    20 Rotation group D5, [5,2]+, (225), order 10 Dual polyhedron pentagrammic prism Face configuration V4.4.5 Properties face-transitive, (deltahedron)...
    4 KB (356 words) - 00:09, 29 July 2024