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Encyclopedia results for cdd

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Encyclopedia results for cdd

  1. CDD

    CDD may mean Capability Development Document , a document used by military of the United States when making decisions about equipment. Conserved domain database , a collation of protein structural and functional motifs from several independent databases. Centre for Democracy and Development , a non government organization in Africa Water purification Chlorine dioxide disinfection Chlorine dioxide disinfection , a fast acting process to disinfect water Cidade de Deus Rio de Janeiro , a neighbourhood in Rio de Janeiro, Brazil Congregatio Discipulorum Domini , a Catholic order founded in China. Collaborative Drug Discovery , a private software company with a web based platform for managing drug discovery data. Cooling degree day, a qualitative index used to reflect the demand for energy to cool a business see heating degree day . Customer Due Diligence . Craniodiaphyseal dysplasia , a bone disorder causing calcium build up in the skull. Cats Don t Dance , a 1997 animated film. Cyclic delay diversity , a diversity scheme used in OFDM based telecommunication systems. Childhood disintegrative disorder , a rare condition that causes late onset developmental delays. Cardenden railway station , a railway station in Scotland. C Drone Defect , a solo project of Marc Horstmeier. disambig fr CDD it CDD ...   more details



  1. Goursat tetrahedron

    solutions The solutions for the 3 sphere with density 1 solutions are Duoprism s p x q , CDD node p node 2 node q node Hyperprism s 3,3 x , CDD node 3 node 3 node 2 node 3,4 x , CDD node 3 node 4 node 2 node 3,5 x , CDD node 3 node 5 node 2 node Linear graphs Uniform polychoron Uniform polychora 3,3,3 , CDD node 3 node 3 node 3 node 3,3,4 , CDD node 3 node 3 node 4 node 3,4,3 , CDD node 3 node 4 node 3 node 3,3,5 , CDD node 3 node 3 node 5 node Tri dental graphs 3 sup 1,1,1 sup , CDD nodes ... from Coxeter Linear graphs Density 4 3,5,5 2 CDD node 3 node 5 node 5 rat d2 node Density 6 5,5 2,5 CDD node 5 node 5 rat d2 node 5 node Density 20 5,3,5 2 CDD node 5 node 3 node 5 rat d2 node Density 66 5 2,5,5 2 CDD node 5 rat d2 node 5 node 5 rat d2 node Density 76 5,5 2,3 CDD node 5 node 5 rat d2 node 3 node Density 191 3,3,5 2 CDD node 3 node 3 node 5 rat d2 node Loop n tail graphs Density 2 CDD label3 2 branch split2 node 5 node Density 3 CDD label5 branch split2 5t node 3 node Density 5 CDD label5 3 branch split2 53 node 3 node Density 8 CDD label5 4 branch split2 55 node 3 node Density 9 CDD branch split2 p3 node 3 node Density 14 CDD label5 branch split2 p3 node 5 node Density 26 CDD label5 3 branch split2 p3 node 5 node Density 30 CDD branch split2 5p node 3 node Density 39 CDD label3 2 branch split2 53 node 3 node Density 46 CDD label5 branch split2 5t node 5 rat d2 node Density 115 CDD label5 branch split2 p3 node 3 node Euclidean affine 3 space solutions Density 1 solutions Convex uniform honeycomb Linear graph 4,3,4 , CDD node 4 node 3 node 4 node Tri dental graph 4,3 sup 1,1 sup , CDD nodes split2 node 4 node Loop graph 3,3,3,3 , CDD branch 3ab branch Hyperbolic ... space Linear graphs 3,5,3 , CDD node 3 node 5 node 3 node 5,3,4 , CDD node 5 node 3 node 4 node 5,3,5 , CDD node 5 node 3 node 5 node Tri dental graph 5,3 sup 1,1 sup , CDD nodes split2 node 5 node Loop graphs 4,3,3,3 , CDD label4 branch 3ab branch 4,3,4,3 , CDD label4 branch 3ab branch label4 5,3,3,3 ...   more details



  1. Triangular prism

    center File Triangular prism.png 100px br 3.4.4 BR CDD node 3 node 1 2 node 1 File Uniform polyhedron 33 t01.png 100px br Truncated tetrahedron 3.6.6 BR CDD node 3 node 1 3 node 1 File Uniform polyhedron 43 t01.png 100px br Truncated cube 3.8.8 BR CDD node 3 node 1 4 node 1 File Uniform polyhedron 53 t01.png 100px br Truncated dodecahedron 3.10.10 BR CDD node 3 node 1 5 node 1 align center File Uniform tiling 63 t01.png 100px br Truncated hexagonal tiling 3.12.12 BR CDD node 3 node 1 6 node 1 File Uniform tiling 73 t01.png 100px br Order 3 truncated heptagonal tiling 3.14.14 BR CDD node 3 node 1 7 node 1 File Uniform tiling 83 t01.png 100px br 3.16.16 BR CDD node 3 node 1 8 node 1 File H2 tiling 23i 3.png 100px br 3. . BR CDD node 3 node 1 infin node 1 Related polytopes There are 4 uniform ... 640 align center tetrahedral prism BR CDD node 1 3 node 3 node 2 node 1 octahedral prism BR CDD node 1 3 node 4 node 2 node 1 cuboctahedral prism BR CDD node 3 node 1 4 node 2 node 1 icosahedral prism BR CDD node 1 3 node 5 node 2 node 1 icosidodecahedral prism BR CDD node 3 node 1 5 node 2 node 1 Truncated dodecahedral prism BR CDD node 3 node 1 5 node 1 2 node 1 align center File tetrahedral ... Rhombicosidodecahedral prism Rhombi cosidodecahedral prism BR CDD node 1 3 node 5 node 1 2 node 1 Rhombicuboctahedral prism Rhombi cuboctahedral prism BR CDD node 1 3 node 4 node 1 2 node 1 Truncated cubic prism BR CDD node 3 node 1 4 node 1 2 node 1 Snub dodecahedral prism BR CDD node h 5 node h 3 node h 2 node 1 Uniform antiprismatic prism n gonal antiprismatic prism BR CDD node h n node h ... antiprismatic prism.png 80px align center Cantellated 5 cell BR CDD node 1 3 node 3 node 1 3 node Cantitruncated 5 cell BR CDD node 1 3 node 1 3 node 1 3 node Runcinated 5 cell BR CDD node 1 3 node 3 node 3 node 1 Runcitruncated 5 cell BR CDD node 1 3 node 1 3 node 3 node 1 Cantellated tesseract BR CDD node 1 4 node 3 node 1 3 node Cantitruncated tesseract BR CDD node 1 4 node 1 3 node 1 3 node ...   more details



  1. Order-4 pentagonal tiling

    Uniform hyperbolic tiles db Reg hyperbolic tiling stat table U54 0 In geometry , the order 4 pentagonal tiling is a List of regular polytopes Hyperbolic tilings regular tiling of the Hyperbolic geometry hyperbolic plane . It has Schl fli symbol of 5,4 . Related polyhedra and tiling This tiling is topologically related as a part of sequence of regular polyhedra and tilings with pentagon al faces, starting with the dodecahedron , with Schl fli symbol 5,n , and Coxeter diagram CDD node 1 5 node n node , progressing to infinity. class wikitable align center Image Uniform polyhedron 53 t0.png 100px BR Dodecahedron 5,3 BR CDD node 1 5 node 3 node Image Uniform tiling 54 t0.png 100px BR 5,4 BR CDD node 1 5 node 4 node Image Uniform tiling 55 t0.png 100px BR 5,5 BR CDD node 1 5 node 5 node Image Uniform tiling 56 t0.png 100px BR 5,6 BR CDD node 1 5 node 6 node Image Uniform tiling 57 t0.png 100px BR 5,7 BR CDD node 1 5 node 7 node This tiling is also topologically related as a part of sequence of regular polyhedra and tilings with four faces per vertex, starting with the octahedron , with Schl fli symbol n,4 , and Coxeter diagram CDD node 1 n node 4 node , with n progressing to infinity. class wikitable align center Image Uniform polyhedron 34 t0.png 100px BR Octahedron 3,4 BR CDD node 1 3 node 4 node File Uniform tiling 44 t0.png 100px BR Square tiling 4,4 BR CDD node 1 4 node 4 node Image Uniform tiling 54 t0.png 100px BR 5,4 BR CDD node 1 5 node 4 node Image Uniform tiling 64 t0.png 100px BR 6,4 BR CDD node 1 6 node 4 node Image Uniform tiling 74 t0.png 100px BR 7,4 BR CDD node 1 7 node 4 node ... File H2 tiling 24i 1.png 100px BR &infin ,4 BR CDD node 1 infin node 4 node References John Horton Conway John H. Conway , Heidi Burgiel, Chaim Goodman Strass, The Symmetries of Things 2008, ISBN 978 1 56881 220 5 Chapter 19, The Hyperbolic Archimedean Tessellations Cite book title The Beauty of Geometry Twelve Essays year 1999 publisher Dover Publications lccn 99035678 isbn 0 ...   more details



  1. Alternated hypercubic honeycomb

    pattern. BR CDD node 4 node 1 4 node valign top File Uniform tiling 44 t02.png 120px BR A twice alternated square tiling. BR CDD node 1 4 node 4 node 1 valign top File Tetrahedral octahedral honeycomb.png .... BR CDD nodes 10ru split2 node 3 4 node valign top File Tetrahedral octahedral honeycomb2.png 121px BR A subsymmetry colored alternated cubic honeycomb. BR CDD node 1 split1 nodes split2 node In geometry ... math tilde D n 1 math h&delta sub 2 sub Apeirogon &infin CDD node h infin node BR CDD node 1 infin ... t sub 1 sub 4,4 BR t sub 0,2 sub 4,4 CDD node h 4 node 4 node BR CDD node 4 node 1 4 node CDD node 1 4 node 4 node 1 h&delta sub 4 sub Alternated cubic honeycomb h 4,3,4 BR 3 sup 1,1 sup ,4 CDD node h 4 node 3 node 4 node BR CDD nodes 10ru split2 node 3 4 node CDD node 1 split1 nodes split2 node h&delta ... 3,3,4,3 h 4,3 sup 2 sup ,4 BR 3 sup 1,1 sup ,3,4 BR 3 sup 1,1,1,1 sup CDD node h 4 node 3 node 3 node 4 node BR CDD nodes 10ru split2 node 3 node 4 node CDD nodes 10ru split2 node split1 nodes h&delta ... sup ,3,3 sup 1,1 sup CDD node h 4 node 3 node 3 node 3 node 4 node BR CDD nodes 10ru split2 node 3 node 3 node 4 node CDD nodes 10ru split2 node 3 node split1 nodes h&delta sub 7 sub Demihexeractic ... 1,1 sup CDD node h 4 node 3 node 3 node 3 node 3 node 4 node BR CDD nodes 10ru split2 node 3 node 3 node 3 node 4 node CDD nodes 10ru split2 node 3 node 3 node split1 nodes h&delta sub 8 sub Demihepteractic ... sup 1,1 sup CDD node h 4 node 3 node 3 node 3 node 3 node 3 node 4 node BR CDD nodes 10ru split2 node 3 node 3 node 3 node 3 node 4 node CDD nodes 10ru split2 node 3 node 3 node 3 node split1 nodes ... sup 1,1 sup ,3 sup 4 sup ,3 sup 1,1 sup CDD node h 4 node 3 node 3 node 3 node 3 node 3 node 3 node 4 node BR CDD nodes 10ru split2 node 3 node 3 node 3 node 3 node 3 node 4 node CDD nodes 10ru split2 ... 7 sup ,4 BR 3 sup 1,1 sup ,3 sup 6 sup ,4 BR 3 sup 1,1 sup ,3 sup 5 sup ,3 sup 1,1 sup CDD node h 4 node 3 node 3 node 3 node 3 node 3 node 3 node 3 node 4 node BR CDD nodes 10ru split2 node 3 node 3 ...   more details



  1. Convex uniform honeycombs in hyperbolic space

    CDD node 4 node 3 node 5 node 15 forms 2 math bar K 3 math 5,3,5 CDD node 5 node 3 node 5 node 9 forms 2 math bar J 3 math 3,5,3 CDD node 3 node 5 node 3 node 9 forms 4 math bar DH 3 math 5,3 sup 1,1 sup CDD node 5 node split1 nodes 11 forms 7 overlap with 5,3,4 family, 4 are unique 5 math hat AB 3 math 3,3,3,4 CDD label4 branch 3ab branch 9 forms 6 math hat AH 3 math 3,3,3,5 CDD label5 branch 3ab branch 9 forms 7 math hat BB 3 math 3,4,3,4 CDD label4 branch 3ab branch label4 6 forms 8 math hat BH 3 math 3,4,3,5 CDD label4 branch 3ab branch label5 9 forms 9 math hat HH 3 math 3,5,3,5 CDD label5 ... groups Type Coxeter groups Group count Honeycomb count align center linear graphs CDD node 6 node 3 node 3 node , CDD node 3 node 6 node 3 node , CDD node 6 node 3 node 4 node , CDD node 6 node 3 node 5 node , CDD node 6 node 3 node 6 node , CDD node 4 node 4 node 3 node , CDD node 4 node 4 node 4 node 7 15 9 15 15 9 15 9 87 align center bifurcating graphs CDD nodes split2 node 6 node , CDD nodes split2 44 node 3 node , CDD nodes split2 44 node 4 node 3 11 11 7 29 align center cyclic graphs CDD label4 branch 4 3 branch 2 , CDD label4 branch 4 3 branch label4 , CDD label4 branch 4 4 branch label4 , CDD label6 branch 3ab branch 2 , CDD label6 branch 3ab branch label4 , CDD label6 branch 3ab branch label5 , CDD label6 branch 3ab branch label6 7 align center mixed graphs CDD branch split2 node 3 node , CDD branch split2 node 4 node , CDD branch split2 node 5 node , CDD branch split2 node 6 node , CDD node split1 branch split2 node , CDD tet 6 3,5,3 family There are 9 forms, generated by ring permutations of the Coxeter group 3,5,3 or CDD node 3 node 5 node 3 node One related Wythoff ... 4 Cell counts vertex BR and positions in honeycomb align center 0 BR CDD 2 node 5 node 3 node 1 BR CDD node 2 2 node 3 node 2 BR CDD node 3 node 2 2 node 3 BR CDD node 3 node 5 node Vertex figure picture align center BGCOLOR f0e0e0 1 Order 3 icosahedral honeycomb icosahedral BR Regular BR CDD node 1 ...   more details



  1. Polytope families

    1 I sub n sub p Polygon 2 align center File 2 simplex t0.svg 80px BR CDD node 1 3 node Equilateral triangle Triangle colspan 2 align center File 2 cube.svg 80px BR CDD node 1 4 node square geometry ... BR CDD node 1 6 node BR Hexagon colspan 2 align center File Regular polygon 5.svg 80px BR CDD node 1 5 node BR Pentagon align center CDD node 1 p node BR Regular polygon p gon Polyhedron 3 align center File 3 simplex t0.svg 80px BR CDD node 1 3 node 3 node BR Tetrahedron align center File 3 cube t0.svg 80px BR CDD node 1 4 node 3 node BR Cube align center File 3 cube t2.svg 80px BR CDD node 1 3 node 4 node BR Octahedron align center File 3 demicube.svg 80px BR CDD nodea 1 3a branch BR Tetrahedron align center colspan 3   align center File Dodecahedron t0 H3.png 80px BR CDD node 1 5 node 3 node BR Dodecahedron align center File Icosahedron t0 H3.png 80px BR CDD node 1 3 node 5 node BR Icosahedron Polychoron 4 align center File 4 simplex t0.svg 80px BR CDD node 1 3 node 3 node 3 node BR 5 cell align center File 4 cube t0.svg 80px BR CDD node 1 4 node 3 node 3 node Tesseract align center File 4 cube t3.svg 80px BR CDD node 1 3 node 3 node 4 node BR 16 cell align center File 4 demicube t0 D4.svg 80px BR CDD nodea 1 3a branch 3a nodea Demitesseract align center colspan 3 BGCOLOR e0f0e0 File 24 cell t0 F4.svg 80px BR CDD node 1 3 node 4 node 3 node BR 24 cell align center File 120 cell graph H4.svg 80px BR CDD node 1 5 node 3 node 3 node BR 120 cell align center File 600 cell graph H4.svg 80px BR CDD node 1 3 node 3 node 5 node BR 600 cell 5 polytope 5 align center File 5 simplex t0.svg 80px BR CDD node 1 3 node 3 node 3 node 3 node BR 5 simplex align center File 5 cube graph.svg 80px BR CDD node 1 4 node 3 node 3 node 3 node BR 5 cube align center File 5 orthoplex.svg 80px BR CDD node 1 3 node 3 node 3 node 4 node BR 5 orthoplex align center File 5 demicube.svg 80px BR CDD ... 2   6 polytope 6 align center File 6 simplex t0.svg 80px BR CDD node 1 3 node 3 node 3 node 3 ...   more details



  1. Truncated 24-cell honeycomb

    tilde F 4 math 3,4,3,3 3,4,3,3 CDD node 1 3 node 1 4 node 3 node 3 node 4 CDD node 1 3 node 1 4 node 3 node BR 1 CDD node 1 4 node 3 node 3 node File Truncated 24 cell honeycomb verf.png 80px math tilde F 4 math 3,3,4,3 3,3,4,3 CDD node 1 3 node 1 3 node 1 4 node 3 node 3 CDD node 3 node 4 node 1 3 node 1 BR 1 CDD node 4 node 1 3 node 1 3 node 1 BR 1 CDD node 4 node 3 node 1 2 node 1 File Truncated 24 cell honeycomb F4b verf.png 80px math tilde C 4 math 4,3,3,4 nowiki nowiki 4,3,3,4 CDD node 4 node 1 3 node 1 3 node 1 4 node 2,2 CDD node 1 3 node 1 3 node 1 4 node BR 1 CDD node 4 node 1 2 node ... 3 sup 1,1 sup ,3,4 4,3,3,4 CDD nodes 11 split2 node 1 3 node 1 4 node 1,1 CDD node 1 3 node 1 3 node 1 4 node BR 2 CDD nodes 11 split2 node 1 3 node 1 BR 1 CDD node 1 2 node 1 2 node 1 4 node File Truncated ... 3,3,4,3 CDD nodes 11 split2 node 1 split1 nodes 11 1,1,1,1 BR CDD nodes 11 split2 node 1 3 node 1 BR 1 CDD node 1 2 node 1 2 node 1 2 node 1 File Truncated 24 cell honeycomb D4 verf.png 80px See also ...   more details



  1. Rectified 24-cell honeycomb

    3,4,3,3 3,4,3,3 CDD node 3 node 1 4 node 3 node 3 node 4 CDD node 3 node 1 4 node 3 node BR 1 CDD ... 3,3,4,3 CDD node 1 3 node 3 node 1 4 node 3 node 3 CDD node 3 node 4 node 1 3 node BR 1 CDD node 4 node 1 3 node 3 node 1 BR 1 CDD node 4 node 3 node 1 2 node 1 File Rectified 24 cell honeycomb F4b verf.png 80px math tilde C 4 math 4,3,3,4 nowiki nowiki 4,3,3,4 CDD node 4 node 1 3 node 3 node 1 4 node 2,2 CDD node 1 3 node 3 node 1 4 node BR 1 CDD node 4 node 1 2 node 1 4 node File Bicantellated ... CDD nodes 11 split2 node 3 node 1 4 node 1,1 CDD node 1 3 node 3 node 1 4 node BR 2 CDD nodes 11 split2 node 3 node 1 BR 1 CDD node 1 2 node 1 2 node 1 4 node File Rectified 24 cell honeycomb B4 verf.png 80px math tilde D 4 math 3 sup 1,1,1,1 sup 3,3 3 sup 1,1,1,1 sup 3,3,4,3 CDD nodes 11 split2 node split1 nodes 11 1,1,1,1 BR CDD nodes 11 split2 node 3 node 1 BR 1 CDD node 1 2 node 1 2 node ...   more details



  1. Hypercubic honeycomb

    tiling . BR CDD node 1 4 node 4 node File Partial cubic honeycomb.png 120px BR A partial filled cubic honeycomb in its regular form. BR CDD node 1 4 node 3 node 4 node File Uniform tiling 44 t1.png 120px BR A checkboard square tiling BR CDD node 4 node 1 4 node File Bicolor cubic honeycomb.png 120px BR A partially filled cubic honeycomb checkerboard . BR CDD node 1 4 node split1 nodes File Uniform tiling 44 t02.png 120px BR An expanded square tiling BR CDD node 1 4 node 4 node 1 File Runcinated cubic honeycomb.png 120px BR Expansion geometry Expanded cubic honeycomb BR CDD node 1 4 node 3 ... sub 2 sub Apeirogon &infin CDD node 1 infin node       &delta sub 3 sub Square tiling &infin sup 2 sup BR 4,4 CDD node 1 infin node 2 node 1 infin node CDD node 1 4 node 4 node CDD node 4 node 1 4 node CDD node 1 4 node 4 node 1 &delta sub 4 sub Cubic honeycomb &infin sup 3 sup BR 4,3,4 BR 4,3 sup 1,1 sup CDD node 1 infin node 2 node 1 infin node 2 node 1 infin node CDD node 1 4 node 3 node 4 node CDD node 1 4 node split1 nodes CDD node 1 4 node 3 node 4 node 1 &delta sub 5 sub Tesseractic honeycomb &infin sup 4 sup BR 4,3 sup 2 sup ,4 BR 4,3,3 sup 1,1 sup CDD node 1 infin node 2 node 1 infin node 2 node 1 infin node 2 node 1 infin node CDD node 1 4 node 3 node 3 node 4 node CDD node 1 4 node 3 node split1 nodes CDD node 1 4 node 3 node 3 node 4 node 1 &delta sub 6 sub Penteractic honeycomb &infin sup 5 sup BR 4,3 sup 3 sup ,4 BR 4,3 sup 2 sup ,3 sup 1,1 sup CDD node 1 infin node 2 node 1 infin node 2 node 1 infin node 2 BR CDD node 1 infin node 2 node 1 infin node CDD node 1 4 node 3 node 3 node 3 node 4 node CDD node 1 4 node 3 node 3 node split1 nodes CDD node 1 4 ... 4 sup ,4 BR 4,3 sup 3 sup ,3 sup 1,1 sup CDD node 1 infin node 2 node 1 infin node 2 node 1 infin node 2 BR CDD node 1 infin node 2 node 1 infin node 2 node 1 infin node CDD node 1 4 node 3 node 3 node 3 node 3 node 4 node CDD node 1 4 node 3 node 3 node 3 node split1 nodes CDD node 1 4 node 3 node ...   more details



  1. Community driven development

    orphan date September 2010 Community driven development CDD is a development initiative that provides ... groups. The underlying assumption of CDD projects are that communities are the best judges of how their lives ... organize themselves to provide for their immediate needs. Moreover, CDD programmes are motivated ... and partners in the development process, previous studies have shown that CDD is responsive to local ... NGO based programmes. CDD can also be supported by strengthening and financing community group ... and institutional reform Dongier, 2002 . CDD projects work by providing poor communities with direct ... of CDD Following from this description, field practitioners at the World Bank have denoted five key characteristics of CDD projects. A CDD operation primarily targets a community based organization ... defining characteristic of a CDD project is that the beneficiaries or grantees of implementations are agents of the community. Since the focus on small communities is so large the CDD normally targets small scale subproject s in the community. In CDD operations, community or locally based representation ... on participatory planning is considerable in CDD operations, often the possible types ... out. The defining characteristic of CDD projects is that a transfer of resources to the community ... of resources will depend on the CDD implementations. The community is directly involved in the implementation ... of CDD subprojects. Most often it is social accountability tools such as participatory monitoring ... accountability of the CDD implementation. CDD vs. CBD Community driven development is derived from ... of community groups. However, CDD projects fit on the empowerment end of CBD by actively ... CDD from the previous generation of CBD projects. In this continuum of community participation covered by CBD, new generation CDD projects are located at the extreme right Tanaka, 2006 . Since ... there are a few contrasts visible in the five characteristics of CDD programmes. In essence, all five ...   more details



  1. Collaborative Drug Discovery

    via CDD Public, as well in as the United States National Library of Medicine National Library ... tuberculosis, Mol Biosyst, 6 2316 2324, 2010 ref In February 2011 CDD began participating in the collaborative ... CDD s official homepage http online.wsj.com article SB10001424052748703341904575266583403844888.html?mod WSJ Tech RIGHTTopCarousel Wall Street Journal Article Profiling CDD Category Software companies ...   more details



  1. Coxeter?Dynkin diagram

    BC3 polytopes For example, the BC sub 3 sub Coxeter group has a diagram CDD node 4 node 3 node ... h01.svg 64px align center Coxeter BR diagram CDD node 1 4 node 3 node CDD node 1 4 node 1 3 node CDD node 4 node 1 3 node CDD node 4 node 1 3 node 1 CDD node 4 node 3 node 1 CDD node 1 4 node 3 node 1 CDD node 1 4 node 1 3 node 1 CDD node h 4 node h 3 node h CDD node h 4 node 3 node CDD node 4 node ... Determinant 0 align center 2 I sub 2 sub 2 A sub 1 sub xA sub 1 sub CDD node 2 node math left begin smallmatrix 2&0 0&2 end smallmatrix right math 4 align center 3 I sub 2 sub 3 A sub 2 sub CDD node ... 4 BC sub 2 sub CDD node 4 node math left begin smallmatrix 2& sqrt 2 sqrt 2 &2 end smallmatrix right math 2 align center 5 I sub 2 sub 5 H sub 2 sub CDD node 5 node math left begin smallmatrix 2& phi ... center 6 I sub 2 sub 6 G sub 2 sub CDD node 6 node math left begin smallmatrix 2& sqrt 3 sqrt 3 &2 end smallmatrix right math 1 align center 8 I sub 2 sub 8 CDD node 8 node math left begin smallmatrix ... center 10 I sub 2 sub 10 CDD node 10 node math left begin smallmatrix 2& 2 cos pi 10 2 cos pi 10 &2 ... 12 I sub 2 sub 12 CDD node 12 node math left begin smallmatrix 2& 2 cos pi 12 2 cos pi 12 &2 end smallmatrix right math math 2 sqrt 3 math BR 0.26794919243 align center p I sub 2 sub p CDD node p ... center I sub 2 sub &infin math tilde I 1 math math tilde A 1 math CDD node infin node math left begin ... math math H 2 4 math math I 2 p math align center 1 A sub 1 sub P CDD node         align center 2 A sub 2 sub 3 P CDD node 3 node BC sub 2 sub 4 P CDD node 4 node D sub 2 sub A sub 1 sub xA sub 1 sub P CDD nodes   G sub 2 sub 6 P CDD node 6 node H sub 2 sub 6 P CDD node 5 node I sub 2 sub p P CDD node p node align center 3 A sub 3 sub 3 sup 2 sup P CDD node 3 node 3 node BC sub 3 sub 3,4 P CDD node 4 node 3 node D sub 3 sub A sub 3 sub P CDD nodes split2 node E sub 3 sub A sub 2 sub A sub 1 sub P CDD nodea 3a nodea   CDD nodeb F sub 3 sub BC sub 3 sub P CDD node 3 node ...   more details



  1. Simplectic honeycomb

    , and red rectified tetrahedra octahedron CDD node 1 split1 branch CDD node 1 split1 nodes split2 ... , with Coxeter graph CDD node 1 split1 branch filling the plane with alternately colored triangles. In 3 dimensions it represents the tetrahedral octahedral honeycomb , with Coxeter graph CDD node 1 split1 ... its called a 5 cell honeycomb , with Coxeter graph CDD node 1 split1 nodes 3ab branch , with 5 ... CDD node 1 split1 nodes 3ab nodes split2 node , filling space by 5 simplex , rectified 5 simplex ... graph CDD node 1 split1 nodes 3ab nodes 3ab branch , filling space by 6 simplex , rectified 6 simplex ... 1 math tilde A 1 math File Regular apeirogon.png 80px BR Apeirogon BR CDD node 1 infin node CDD node ... honeycomb BR CDD node 1 split1 branch Image Truncated triangle.png 80px BR Hexagon BR Truncated triangle BR CDD node 1 3 node 1 3 triangle s BR 3 rectified triangles 6 Segment BR CDD node 1 3 math ... 3 simplex honeycomb BR CDD node 1 split1 nodes split2 node Image Uniform polyhedron 33 t02.png 80px BR Cuboctahedron BR Cantellated tetrahedron BR CDD node 1 3 node 3 node 1 4 4 tetrahedron BR 6 rectified tetrahedron 12 Rectangle BR CDD node 1 2 node 1 4 math tilde A 4 math 4 simplex honeycomb BR CDD node 1 split1 nodes 3ab branch Image Schlegel half solid runcinated 5 cell.png 80px BR Runcinated 5 cell BR CDD node 1 3 node 3 node 3 node 1 5 5 5 cell s BR 10 10 Rectified 5 cell s 20 File Runcinated 5 cell verf.png 60px BR Triangular antiprism BR CDD node h 3 node h 2 node h 5 math tilde A 5 math 5 simplex honeycomb BR CDD node 1 split1 nodes 3ab nodes split2 node File 5 simplex t04.svg 80px BR Stericated 5 simplex BR CDD node 1 3 node 3 node 3 node 3 node 1 6 6 5 simplex BR 15 15 rectified ... BR CDD node h 4 node 3 node 2 node h 6 math tilde A 6 math 6 simplex honeycomb BR CDD node 1 split1 nodes 3ab nodes 3ab branch File 6 simplex t05.svg 80px BR Pentellated 6 simplex BR CDD node ... 6 simplex 42 4 simplex antiprism 7 math tilde A 7 math 7 simplex honeycomb BR CDD node 1 split1 ...   more details



  1. Uniform polytope

    diagram Dynkin CDD node 1 3 node CDD node 1 4 node CDD node 1 5 node CDD node 1 6 node CDD node 1 7 node CDD node 1 8 node Image Image Regular triangle.svg 75px Image Kvadrato.svg 75px Image Regular ... diagram Dynkin CDD node 1 5 rat d2 node CDD node 1 7 rat d2 node CDD node 1 7 rat d3 node CDD node 1 8 rat d3 node CDD node 1 9 rat d2 node CDD node 1 9 rat d4 node CDD node 1 10 rat d3 node CDD ... center 1 0 BGCOLOR f0e0e0 align center Parent t sub 0 sub p p CDD node 1 p node BGCOLOR e0e0f0 align center Rectified BR Dual t sub 1 sub p p CDD node p node 1 BGCOLOR e0f0e0 align center Truncated t sub 0,1 sub p 2p CDD node 1 p node 1 BGCOLOR e0f0e0 align center Snub s p p CDD node h p node h Three ... valign top Name Schl fli symbol Schl fli br p,q Coxeter Dynkin diagram Dynkin br CDD node 1 p node ... br Simplex 3 simplex br Pyramid 3,3 CDD node 1 3 node 3 node Image Tetrahedron.svg 75px Image ... ffe0e0 Cube br hypercube 3 cube br Hexahedron 4,3 CDD node 1 4 node 3 node Image Hexahedron.svg 75px ... bgcolor e0e0ff Octahedron br Cross polytope 3 orthoplex 3,4 CDD node 1 3 node 4 node Image Octahedron.svg ... h sub Cube bgcolor ffe0e0 Dodecahedron 5,3 CDD node 1 5 node 3 node Image POV Ray Dodecahedron.svg 75px ... Icosahedron bgcolor e0e0ff Icosahedron 3,5 CDD node 1 3 node 5 node Image Icosahedron.svg 75px Image ... hexagonal prism.png 60px Image Dodecagonal prism vf.png 60px align center CDD node 1 p node 1 2 node ... antiprism.png 60px Image Hexagonal antiprism vertfig.png 60px align center CDD node h p node ... math begin Bmatrix p , q end Bmatrix math t sub 0 sub p,q CDD node 1 p node q node q & 124 2 p p BGCOLOR ... 1 sub p,q CDD node p node 1 q node 2 & 124 p q p q BGCOLOR e0e0f0 align center Birectified BR or Dual polyhedron dual math begin Bmatrix q , p end Bmatrix math t sub 2 sub p,q CDD node p node q node ... , q end Bmatrix math t sub 0,1 sub p,q CDD node 1 p node 1 q node 2 q & 124 p 2p q BGCOLOR e0e0f0 align ... math t sub 1,2 sub p,q CDD node p node 1 q node 1 2 p & 124 q p 2q BGCOLOR e0f0e0 align center ...   more details



  1. 5-simplex honeycomb

    tilde A 5 math Coxeter group . The Coxeter Dynkin diagram s of the other 11 are CDD node 1 split1 nodes 10lur 3ab nodes split2 node , CDD node 1 split1 nodes 3ab nodes 10lru split2 node , CDD node 1 split1 nodes 3ab nodes split2 node 1 , CDD node 1 split1 nodes 10lur 3ab nodes 10lru split2 node , CDD node 1 split1 nodes 10lur 3ab nodes split2 node 1 , CDD node 1 split1 nodes 3ab nodes 11 split2 node , CDD node 1 split1 nodes 10lur 3ab nodes 10lru split2 node 1 , CDD node 1 split1 nodes 10lur 3ab nodes 11 split2 node , CDD node split1 nodes 11 3ab nodes 11 split2 node , CDD node 1 split1 nodes 11 3ab nodes 11 split2 node , CDD node 1 split1 nodes 11 3ab nodes 11 split2 node 1 . Projection ... other, sharing the same vertex arrangement class wikitable math tilde A 5 math CDD node 1 split1 nodes 3ab nodes split2 node math tilde C 3 math CDD node 1 4 node 3 node 4 node See also Regular ...   more details



  1. Omnitruncated 5-simplex honeycomb

    are CDD node 1 split1 nodes 3ab nodes split2 node , CDD node 1 split1 nodes 10lur 3ab nodes split2 node , CDD node 1 split1 nodes 3ab nodes 10lru split2 node , CDD node 1 split1 nodes 3ab nodes split2 node 1 , CDD node 1 split1 nodes 10lur 3ab nodes 10lru split2 node , CDD node 1 split1 nodes 10lur 3ab nodes split2 node 1 , CDD node 1 split1 nodes 3ab nodes 11 split2 node , CDD node 1 split1 nodes 10lur 3ab nodes 10lru split2 node 1 , CDD node 1 split1 nodes 10lur 3ab nodes 11 split2 node , CDD node split1 nodes 11 3ab nodes 11 split2 node , CDD node 1 split1 nodes 11 3ab nodes 11 split2 node ... wikitable math tilde A 5 math CDD node 1 split1 nodes 11 3ab nodes 11 split2 node 1 math tilde C 3 math CDD node 1 4 node 1 3 node 1 4 node 1 See also Regular and uniform honeycombs in 5 space Penteractic ...   more details



  1. 6-simplex honeycomb

    group . The Coxeter Dynkin diagram s of the others are CDD node 1 split1 nodes 10lur 3ab nodes 3ab branch CDD node 1 split1 nodes 3ab nodes 10lr 3ab branch CDD node 1 split1 nodes 3ab nodes 3ab branch 10l CDD node 1 split1 nodes 10lur 3ab nodes 10lr 3ab branch CDD node 1 split1 nodes 10lur 3ab nodes 3ab branch 10l CDD node 1 split1 nodes 10lur 3ab nodes 3ab branch 01l CDD node 1 split1 nodes 3ab nodes 10lr 3ab branch 01l CDD node 1 split1 nodes 10lur 3ab nodes 10lr 3ab branch 10l CDD node 1 split1 nodes 10lur 3ab nodes 10lr 3ab branch 01l CDD node 1 split1 nodes 10lur 3ab nodes 3ab branch 11 CDD node 1 split1 nodes 10lur 3ab nodes 01lr 3ab branch 10l CDD node 1 split1 nodes 10lur 3ab nodes 10lr 3ab branch 11 CDD node 1 split1 nodes 10lur 3ab nodes 11 3ab branch 10l CDD node 1 split1 nodes 10lur 3ab nodes 11 3ab branch 01l CDD node 1 split1 nodes 10lur 3ab nodes 11 3ab branch 11 CDD node ... class wikitable math tilde A 6 math CDD node 1 split1 nodes 3ab nodes 3ab branch math tilde C 3 math CDD node 1 4 node 3 node 4 node See also Regular and uniform honeycombs in 5 space 6 cubic honeycomb ...   more details



  1. Snub 24-cell honeycomb

    BR 4 16 cell BR 1 5 cell BR 5 math tilde F 4 math 3,4,3,3 3 sup sup ,4,3,3 CDD node h 3 node h 4 node 3 node 3 node 4 CDD node h 3 node h 4 node 3 node CDD node h 4 node 3 node 3 node CDD node 1 3 node 3 node 3 node math tilde F 4 math 3,4,3,3 3,4, 3,3 sup sup CDD node 3 node 4 node h 3 node h 3 node h 3 CDD node 3 node 4 node h 3 node h BR 1 CDD node 4 node h 3 node h 3 node h CDD node 4 node 3 node h 2 node h CDD node 1 3 node 3 node 3 node math tilde C 4 math 4,3,3,4 nowiki nowiki 4, 3,3 sup sup ,4 CDD node 4 node h 3 node h 3 node h 4 node 2,2 CDD node h 3 node h 3 node h 4 node CDD node 4 node h 2 node h 4 node CDD node 1 3 node 3 node 3 node math tilde B 4 math 3 sup 1,1 sup ,3,4 3 sup 1,1 sup ,3 sup sup ,4 4, 3,3 sup sup ,4 CDD nodes hh split2 node h 3 node h 4 node 1,1 CDD node h 3 node h 3 node h 4 node BR 2 CDD nodes hh split2 node h 3 node h CDD node h 2 node h 2 node h 4 node CDD node 1 3 node 3 node 3 node math tilde D 4 math 3 sup 1,1,1,1 sup 3,3 3 sup 1,1,1,1 sup sup sup 3 sup sup ,3,4,3 CDD nodes hh split2 node h split1 nodes hh 1,1,1,1 BR CDD nodes hh split2 node h 3 node h CDD node h 2 node h 2 node h 2 node h CDD node 1 3 node 3 node 3 node See also Regular and uniform ...   more details



  1. Uniform 7-polytope

    forms Uniform count 1 A sub 7 sub 3 sup 6 sup CDD node 3 node 3 node 3 node 3 node 3 node 3 node 7 simplex 3 sup 6 sup , CDD node 1 3 node 3 node 3 node 3 node 3 node 3 node 71 2 B sub 7 sub 4,3 sup 5 sup CDD node 4 node 3 node 3 node 3 node 3 node 3 node 7 cube 4,3 sup 5 sup , CDD node 1 4 node 3 node 3 node 3 node 3 node 3 node 7 orthoplex 3 sup 5 sup ,4 , CDD node 4 node 3 node 3 node 3 node 3 node 3 node 1 127 3 D sub 7 sub 3 sup 4,1,1 sup CDD nodes split2 node 3 node 3 node 3 node 3 node 7 demicube , 3 sup 1,4,1 sup , CDD nodes 10ru split2 node 3 node 3 node 3 node 3 node 7 orthoplex , 3 sup 4,1,1 sup , CDD nodes split2 node 3 node 3 node 3 node 3 node 1 95 32 unique 4 E7 mathematics E sub 7 sub 3 sup 3,2,1 sup CDD nodea 3a nodea 3a branch 3a nodea 3a nodea 3a nodea Gosset 3 21 polytope 3 sub 21 sub CDD nodea 3a nodea 3a branch 3a nodea 3a nodea 3a nodea 1 Gosset 1 32 polytope 1 sub 32 sub CDD nodea 3a nodea 3a branch 01lr 3a nodea 3a nodea 3a nodea Gosset 1 32 polytope 1 sub 32 sub CDD nodea 1 3a nodea 3a branch 3a nodea 3a nodea 3a nodea 127 class wikitable Prismatic finite ... 1 sub 3 sup 5 sup   CDD node 3 node 3 node 3 node 3 node 3 node 2 node 2 BC sub 6 sub A sub 1 sub 4,3 sup 4 sup   CDD node 4 node 3 node 3 node 3 node 3 node 2 node 3 D sub 6 sub A sub 1 sub 3 sup 3,1,1 sup   CDD nodes split2 node 3 node 3 node 3 node 2 node 4 E sub 6 sub A sub 1 sub 3 sup 2,2,1 sup   CDD nodea 3a nodea 3a branch 3a nodea 3a nodea 2 nodea colspan 4 5 2 1 A sub 5 sub I sub 2 sub p 3,3,3 p CDD node 3 node 3 node 3 node 3 node 2 node p node 2 BC sub 5 sub I sub 2 sub p 4,3,3 p CDD node 4 node 3 node 3 node 3 node 2 node p node 3 D sub 5 sub I sub 2 sub p 3 sup 2,1,1 sup p CDD nodes split2 node 3 node 3 node 2 node p node colspan 4 5 1 1 1 A sub 5 sub A sub 1 sub sup 2 sup 3,3,3   sup 2 sup CDD node 3 node 3 node 3 node 3 node 2 node 2 node 2 BC sub 5 sub A sub 1 sub sup 2 sup 4,3,3   sup 2 sup CDD node 4 node 3 node 3 node 3 node 2 node 2 node 3 D sub ...   more details



  1. Uniform 8-polytope

    group Coxeter Dynkin diagram Forms 1 A sub 8 sub 3 sup 7 sup CDD node 3 node 3 node 3 node 3 node 3 node 3 node 3 node 135 2 BC sub 8 sub 4,3 sup 6 sup CDD node 4 node 3 node 3 node 3 node 3 node 3 node 3 node 255 3 D sub 8 sub 3 sup 5,1,1 sup CDD nodes split2 node 3 node 3 node 3 node 3 node 3 node 191 64 unique 4 E8 mathematics E sub 8 sub 3 sup 4,2,1 sup CDD nodea 3a nodea 3a branch 3a nodea ... family A sub 8 sub 3 sup 7 sup CDD node 3 node 3 node 3 node 3 node 3 node 3 node 3 node 135 ... 8 simplex or ennea 9 tope or enneazetton CDD node 1 3 node 3 node 3 node 3 node 3 node 3 node 3 node Hypercube orthoplex family B sub 8 sub 4,3 sup 6 sup CDD node 4 node 3 node 3 node 3 node 3 node 3 ... ones 4,3 sup 6 sup 8 cube or octeract CDD node 1 4 node 3 node 3 node 3 node 3 node 3 node 3 node 3 sup 6 sup ,4 8 orthoplex or octacross CDD node 1 3 node 3 node 3 node 3 node 3 node 3 node 4 node Demihypercube D sub 8 sub family 3 sup 5,1,1 sup CDD nodea 3a branch 3a nodea 3a nodea 3a nodea ... sup 1,5,1 sup 8 demicube or demiocteract , 1 sub 51 sub CDD nodea 1 3a branch 3a nodea 3a nodea 3a nodea 3a nodea 3a nodea also as h 4,3 sup 6 sup CDD node h 4 node 3 node 3 node 3 node 3 node 3 node 3 node . 3 sup 5,1,1 sup 8 orthoplex , 5 sub 11 sub CDD nodea 3a branch 3a nodea 3a nodea 3a nodea 3a nodea 3a nodea 1 Semiregular E polytope E polytope family E sub 8 sub family 3 sup 4,1,1 sup CDD ... 4 sub 21 sub , CDD nodea 3a nodea 3a branch 3a nodea 3a nodea 3a nodea 3a nodea 1 3 sup 1,4,2 sup the uniform Gosset 1 42 polytope 1 sub 42 sub , CDD nodea 3a nodea 3a branch 01lr 3a nodea 3a nodea 3a nodea 3a nodea , 3 sup 2,4,1 sup the uniform Gosset 2 41 polytope 2 sub 41 sub , CDD nodea ... group Coxeter Dynkin diagram colspan 4 7 1 1 A sub 7 sub A sub 1 sub 3,3,3,3,3,3   CDD node 3 node 3 node 3 node 3 node 3 node 3 node 2 node 2 BC sub 7 sub A sub 1 sub 4,3,3,3,3,3   CDD node ... CDD nodes split2 node 3 node 3 node 3 node 3 node 2 node 4 E7 mathematics E sub 7 sub A sub 1 sub 3 ...   more details



  1. Uniform 9-polytope

    9 sub 3 sup 8 sup CDD node 3 node 3 node 3 node 3 node 3 node 3 node 3 node 3 node B sub 9 sub 4,3 sup 7 sup CDD node 4 node 3 node 3 node 3 node 3 node 3 node 3 node 3 node D sub 9 sub 3 sup 6,1,1 sup CDD nodes split2 node 3 node 3 node 3 node 3 node 3 node 3 node Selected regular and uniform 9 polytopes from each family include Simplex family A sub 9 sub 3 sup 8 sup CDD node 3 node 3 node 3 ... diagram, including one regular 3 sup 8 sup 9 simplex or deca 9 tope or decayotton CDD node 1 3 node ... sup CDD node 4 node 3 node 3 node 3 node 3 node 3 node 3 node 3 node 511 uniform 9 polytopes as permutations ... CDD node 1 4 node 3 node 3 node 3 node 3 node 3 node 3 node 3 node 3 sup 7 sup ,4 9 orthoplex or enneacross CDD node 1 3 node 3 node 3 node 3 node 3 node 3 node 3 node 4 node Demihypercube D sub 9 sub family 3 sup 6,1,1 sup CDD nodes split2 node 3 node 3 node 3 node 3 node 3 node 3 node 383 uniform ... , 1 sub 6,1 sub CDD nodes 10 split2 node 3 node 3 node 3 node 3 node 3 node 3 node also as h 4,3 sup 8 sup CDD node h 4 node 3 node 3 node 3 node 3 node 3 node 3 node 3 node . 3 sup 6,1,1 sup 9 orthoplex , 6 sub 1,1 sub CDD nodes split2 node 3 node 3 node 3 node 3 node 3 node 3 node 1 The A sub ... align center 1 File 9 simplex t0.svg 60px CDD node 3 node 3 node 3 node 3 node 3 node 3 node 3 node ... 2 File 9 simplex t1.svg 60px CDD node 3 node 3 node 3 node 3 node 3 node 3 node 3 node 1 3 node br ... 60px CDD node 3 node 3 node 3 node 3 node 3 node 3 node 1 3 node 3 node br t sub 2 sub 3,3,3,3,3,3,3,3 br Birectified 9 simplex breday 1260 120 align center 4 File 9 simplex t3.svg 60px CDD node 3 node ... 9 simplex treday 2520 210 align center BGCOLOR e0f0e0 5 File 9 simplex t4.svg 60px CDD node 3 node ... 9 simplex icoy 3150 252 align center 6 File 9 simplex t01.svg 60px CDD node 3 node 3 node 3 node 3 ... 405 90 align center 7 File 9 simplex t02.svg 60px CDD node 3 node 3 node 3 node 3 node 3 node 3 node ... File 9 simplex t12.svg 60px CDD node 3 node 3 node 3 node 3 node 3 node 3 node 1 3 node 1 3 node br ...   more details



  1. Point group

    sub 1 sub   sup sup 1 Identity align center D sub 1 sub   CDD node 2 Reflection group Two Dimensions ... center D sub 3 sub A sub 2 sub 3 CDD node 3 node 6 Equilateral triangle align center D sub 4 sub BC sub 2 sub 4 CDD node 4 node 8 Square geometry Square align center D sub 5 sub H sub 2 sub 5 CDD node 5 node 10 Regular pentagon align center D sub 6 sub G sub 2 sub 6 CDD node 6 node 12 Regular hexagon align center D sub n sub I sub 2 sub n n CDD node n node 2n Regular polygon align center D sub 2n sub I sub 2 sub 2n nowiki nowiki n 2n CDD node 2x n node 4n Regular polygon align center D sub 2 sub A sub 1 sub sup 2 sup 2 CDD node 2 node 4 Rectangle align center D sub 1 sub A sub 1 sub   CDD node 2 Digon Three Dimensions Point groups in three dimensions , sometimes called molecular point ... diagram Order Related regular and prismatic polyhedra align center T sub d sub A sub 3 sub 3,3 CDD ... CDD node 4 node 3 node BR CDD node split1 nodes 48 Cube , octahedron BR Stellated octahedron align center I sub h sub H sub 3 sub 5,3 CDD node 5 node 3 node 120 Icosahedron , dodecahedron align center D sub 3h sub A sub 2 sub A sub 1 sub 3,2 CDD node 3 node 2 node 12 Triangular prism align center D sub 4h sub BC sub 2 sub A sub 1 sub 4,2 CDD node 4 node 2 node 16 Square prism align center D sub 5h sub H sub 2 sub A sub 1 sub 5,2 CDD node 5 node 2 node 20 Pentagonal prism align center D sub 6h sub G sub 2 sub A sub 1 sub 6,2 CDD node 6 node 2 node 24 Hexagonal prism align center D sub nh sub I sub 2 sub n A sub 1 sub n,2 CDD node n node 2 node 4n n gonal Prism geometry prism align center D sub 2h sub A sub 1 sub sup 3 sup 2,2 CDD node 2 node 2 node 8 Cuboid align center C sub 3v sub A sub 2 sub A sub 1 sub 3 CDD node 3 node 6 rowspan 5 Hosohedron align center C sub 4v sub BC sub 2 sub A sub 1 sub 4 CDD node 4 node 8 align center C sub 5v sub H sub 2 sub A sub 1 sub 5 CDD node 5 node 10 align center C sub 6v sub G sub 2 sub A sub 1 sub 6 CDD node 6 node 12 align center C sub nv sub I sub ...   more details



  1. Hexagonal prism

    wikitable width 400 align center Hexagonal prismatic honeycomb BR CDD node 1 6 node 3 node 2 node 1 infin node Triangular hexagonal prismatic honeycomb BR CDD node 6 node 1 3 node 2 node 1 infin node Snub triangular hexagonal prismatic honeycomb BR CDD node h 6 node h 3 node h 2 node 1 infin node Rhombitriangular hexagonal prismatic honeycomb BR CDD node 1 6 node 3 node 1 2 node 1 infin node align ... prism BR CDD node 1 3 node 1 3 node 2 node 1 truncated octahedral prism BR CDD node 1 3 node 1 4 node 2 node 1 Truncated cuboctahedral prism BR CDD node 1 3 node 1 4 node 1 2 node 1 Truncated icosahedral prism BR CDD node 1 3 node 1 5 node 2 node 1 Truncated icosidodecahedral prism BR CDD node 1 3 node ... 100px File Truncated icosidodecahedral prism.png 100px align center runcitruncated 5 cell BR CDD node 1 3 node 3 node 1 3 node 1 omnitruncated 5 cell BR CDD node 1 3 node 1 3 node 1 3 node 1 runcitruncated 16 cell BR CDD node 1 4 node 3 node 1 3 node 1 omnitruncated tesseract BR CDD node 1 4 node ... 100px File 4 cube t0123.svg 100px align center runcitruncated 24 cell BR CDD node 1 3 node 4 node 1 3 node 1 omnitruncated 24 cell BR CDD node 1 3 node 1 4 node 1 3 node 1 runcitruncated 600 cell BR CDD node 1 5 node 3 node 1 3 node 1 omnitruncated 120 cell BR CDD node 1 5 node 1 3 node 1 3 node ... CDD node 1 p node 1 3 node 1 . For p < 6, the members of the sequence are Omnitruncation geometry ... Spherical truncated trigonal prism.png 100px BR Hexagonal prism 4.6.4 BR CDD node 1 2 node 1 3 node 1 Image Uniform tiling 332 t012.png 100px BR Truncated octahedron 4.6.6 BR CDD node 1 3 node 1 3 node 1 Image Uniform tiling 432 t012.png 100px BR truncated cuboctahedron 4.6.8 BR CDD node 1 4 node 1 3 node 1 Image Uniform tiling 532 t012.png 100px BR Truncated icosidodecahedron 4.6.10 BR CDD node ... BR CDD node 1 6 node 1 3 node 1 Image Uniform tiling 73 t012.png 100px BR Truncated triheptagonal tiling 4.6.14 BR CDD node 1 7 node 1 3 node 1 Image Uniform tiling 83 t012.png 100px BR 4.6.16 BR ...   more details



  1. Omnitruncated simplectic honeycomb

    tilde A 1 math File Uniform apeirogon.png 80px Apeirogon BR CDD node 1 infin node 1 Line segment Line segment 1 2 2 math tilde A 2 math Image Uniform tiling 333 t012.png 80px Hexagonal tiling BR CDD node ... math tilde A 3 math File Bitruncated cubic honeycomb2.png 80px Bitruncated cubic honeycomb BR CDD node ... 4 4 math tilde A 4 math Omnitruncated 4 simplex honeycomb BR CDD node 1 split1 nodes 11 3ab branch ... simplex honeycomb BR CDD node 1 split1 nodes 11 3ab nodes 11 split2 node 1 File 5 simplex t01234.svg ... 100px 6 omnitruncated 5 simplex 6 6 math tilde A 6 math Omnitruncated 6 simplex honeycomb BR CDD node ... BR CDD node 1 split1 nodes 11 3ab nodes 11 3ab nodes 11 split2 node 1 File 7 simplex t0123456.svg ... Omnitruncated 8 simplex honeycomb BR CDD node 1 split1 nodes 11 3ab nodes 11 3ab nodes 11 3ab branch ... 8 simplex 9 9 math tilde A 9 math Omnitruncated 9 simplex honeycomb BR CDD node 1 split1 nodes 11 ... 9 simplex 10 10 math tilde A 10 math Omnitruncated 10 simplex honeycomb BR CDD node 1 split1 ... the same vertex arrangement class wikitable math tilde A 3 math CDD node 1 split1 nodes 11 split2 node 1 math tilde A 5 math CDD node 1 split1 nodes 11 3ab nodes 11 split2 node 1 math tilde A 7 math CDD node 1 split1 nodes 11 3ab nodes 11 3ab nodes 11 split2 node 1 math tilde A 9 math CDD node 1 split1 nodes 11 3ab nodes 11 3ab nodes 11 3ab nodes 11 split2 node 1 ... math tilde C 2 math CDD node 1 4 node 1 4 node 1 math tilde C 3 math CDD node 1 4 node 1 3 node 1 4 node 1 math tilde C 4 math CDD node 1 4 node 1 3 node 1 3 node 1 4 node 1 math tilde C 5 math CDD node 1 4 node 1 3 node 1 ...   more details




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