• 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 (1,560 words) - 22:21, 1 July 2025
  • 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 (1,878 words) - 09:48, 14 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...
    11 KB (943 words) - 21:29, 25 June 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 (2,644 words) - 16:15, 29 May 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 (985 words) - 15:24, 25 May 2025
  • 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 (4,615 words) - 04:19, 3 July 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) - 06:25, 15 May 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...
    20 KB (2,224 words) - 07:16, 15 June 2025
  • 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....
    55 KB (6,518 words) - 21:25, 19 June 2025
  • Thumbnail for Triakis tetrahedron
    pyramids) resulting in an equilateral polyhedron which is a concave deltahedron (whose all faces are congruent equilateral triangles). The convex hull...
    5 KB (435 words) - 05:45, 2 June 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 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...
    13 KB (1,340 words) - 23:21, 19 June 2025
  • Thumbnail for Polyhedron
    triakis icosahedron (a Catalan solid), and triaugmented triangular prism (a Johnson solid and deltahedron). All of these classes are convex polyhedra....
    96 KB (10,656 words) - 22:12, 1 July 2025
  • 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 (3,061 words) - 23:46, 28 April 2025
  • Thumbnail for Square antiprism
    square pyramid. Similarly, the gyroelongated square bipyramid (J17) is a deltahedron (a polyhedron whose faces are all equilateral triangles) constructed...
    9 KB (1,077 words) - 20:59, 25 June 2025
  • solid Uniform polyhedron Polyhedral compound Hilbert's third problem Deltahedron Surface normal 3-sphere, spheroid, ellipsoid Parabolic microphone Parabolic...
    13 KB (938 words) - 15:07, 19 June 2025
  • are the same length. The regular tetrahedron is the simplest convex deltahedron, a polyhedron in which all of its faces are equilateral triangles; there...
    76 KB (9,506 words) - 17:18, 27 June 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 (5,652 words) - 17:12, 20 June 2025
  • 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) - 06:43, 1 July 2025
  • A regular icosahedron has the same surface metric as a non-convex deltahedron in which one five-triangle pyramid is pushed in...
    15 KB (1,743 words) - 20:04, 10 June 2025
  • 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) - 00:17, 11 April 2025
  • 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 (687 words) - 20:26, 30 March 2025
  • 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...
    13 KB (1,425 words) - 05:06, 27 June 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 Regular octahedron
    Regular octahedron Type Deltahedron, Platonic solid Faces 8 Edges 12 Vertices 6 Symmetry group octahedral symmetry...
    32 KB (3,151 words) - 19:46, 25 June 2025
  • 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) - 19:56, 14 April 2025
  • 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) - 12:00, 18 June 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)...
    1 KB (1,500 words) - 00:48, 3 May 2025
  • Thumbnail for Triakis icosahedron
    form, with equilateral triangle faces, it is an example of a non-convex deltahedron, one of the few known deltahedra that are isohedral (meaning that all...
    11 KB (1,283 words) - 02:25, 20 May 2025
  • 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) - 05:26, 6 May 2025