AI & ChatGPT searches , social queries for OMNITRUNCATION
Search references for OMNITRUNCATION. Phrases containing OMNITRUNCATION
See searches and references containing OMNITRUNCATION!
Search references for OMNITRUNCATION. Phrases containing OMNITRUNCATION
See searches and references containing OMNITRUNCATION!OMNITRUNCATION
Geometric operation
In geometry, an omnitruncation of a convex polytope is a simple polytope of the same dimension, having a vertex for each flag of the original polytope
Omnitruncation
Method of describing higher-order polyhedra
edges. Meta (in its non-indexed form) is also called cantitruncation or omnitruncation. Note that 0 here does not mean the same as for augmentation operations:
Conway_polyhedron_notation
symbols are listed first, followed by the actual mixed Wythoff symbols. Omnitruncations are also called cantitruncations or truncated rectifications (tr),
Omnitruncated_polyhedron
Vertex-transitive tiling of the plane by regular polygons
until edges disappear), and cantellation (cutting edges and vertices). Omnitruncation is an operation that combines truncation and cantellation. Snubbing
Uniform_tiling
Geometric operation on convex polytopes
operators v t e Seed Truncation Rectification Bitruncation Dual Expansion Omnitruncation Alternations t0{p,q} {p,q} t01{p,q} t{p,q} t1{p,q} r{p,q} t12{p,q} 2t{p
Expansion_(geometry)
Isogonal polytope with uniform facets
are applied at once, the operation can be more generally called an omnitruncation. One special operation, called alternation, removes alternate vertices
Uniform_polytope
Operation that cuts polytope vertices, creating a new facet in place of each vertex
operators v t e Seed Truncation Rectification Bitruncation Dual Expansion Omnitruncation Alternations t0{p,q} {p,q} t01{p,q} t{p,q} t1{p,q} r{p,q} t12{p,q} 2t{p
Truncation_(geometry)
Method for dividing a simplicial complex
can have faces that are not simplices. This is the dual operation to omnitruncation. The vertices of the barycentric subdivision correspond to the faces
Barycentric_subdivision
entrench, entrenchment, intrench, intrenchment, obtruncate, obtruncation, omnitruncation, retrench, retrenchment, tranche, tranchet, trench, trenchancy, trenchant
List of Greek and Latin roots in English/P–Z
List_of_Greek_and_Latin_roots_in_English/P–Z
Type of 7-polytope
hexipentisteriruncicantitruncated 7-simplex which is the long name for the omnitruncation for 7 dimensions, with all reflective mirrors active. The omnitruncated
Hexicated_7-simplexes
Polytope contained by 7-polytope facets
shown below, 4 single-ringed, 3 truncations (2 rings), and the final omnitruncation are given below. Bowers-style acronym names are given for cross-referencing
Uniform_8-polytope
Class of 4-dimensional polytopes
14 Bicantitruncation t1,2,3{p,q,r} Cantitruncated dual {r,q,p}. 15 Omnitruncation (runcicantitruncation) t0,1,2,3{p,q,r} Application of all three operators
Uniform_4-polytope
Operation in Euclidean geometry
operators v t e Seed Truncation Rectification Bitruncation Dual Expansion Omnitruncation Alternations t0{p,q} {p,q} t01{p,q} t{p,q} t1{p,q} r{p,q} t12{p,q} 2t{p
Bitruncation
1+3{\sqrt {2}}\right)} Steriruncicantitruncated 5-cube (Full expansion of omnitruncation for 5-polytopes by Johnson) Omnitruncated penteract Omnitruncated triacontaditeron
Stericated_5-cubes
Truncation (geometry) Bitruncation Cantellation Runcination Sterication Omnitruncation Expansion (geometry) Snub (geometry) Alternation (geometry) Dual polyhedron
List of polygons, polyhedra and polytopes
List_of_polygons,_polyhedra_and_polytopes
Removal of alternate vertices
operators v t e Seed Truncation Rectification Bitruncation Dual Expansion Omnitruncation Alternations t0{p,q} {p,q} t01{p,q} t{p,q} t1{p,q} r{p,q} t12{p,q} 2t{p
Alternation_(geometry)
Uniform 6-polytope
regular 6-simplex. Pentisteriruncicantitruncated 6-simplex (Johnson's omnitruncation for 6-polytopes) Omnitruncated heptapeton Great terated tetradecapeton
Pentellated_6-simplexes
entrench, entrenchment, intrench, intrenchment, obtruncate, obtruncation, omnitruncation, retrench, retrenchment, tranche, tranchet, trench, trenchancy, trenchant
List of Greek and Latin roots in English/T
List_of_Greek_and_Latin_roots_in_English/T
duoprisms). Steriruncicantitruncated 5-simplex (Full description of omnitruncation for 5-polytopes by Johnson) Omnitruncated hexateron Great cellated dodecateron
Stericated_5-simplexes
Geometric operation applied to a polyhedron
operators v t e Seed Truncation Rectification Bitruncation Dual Expansion Omnitruncation Alternations t0{p,q} {p,q} t01{p,q} t{p,q} t1{p,q} r{p,q} t12{p,q} 2t{p
Snub_(geometry)
family of a uniform polytopes is equal to the number of vertices of the omnitruncation, being 362880 (9 factorial) in the case of the omnitruncated 8-simplex;
Heptellated_8-simplexes
Operation in Euclidean geometry
operators v t e Seed Truncation Rectification Bitruncation Dual Expansion Omnitruncation Alternations t0{p,q} {p,q} t01{p,q} t{p,q} t1{p,q} r{p,q} t12{p,q} 2t{p
Rectification_(geometry)
diagram = 4-polytope net Omnitruncation omni. 5-cell omni. demitesseract omni. tesseract omni. 24-cell omni. 120-cell Omnitruncation dual net Coxeter diagram
Point groups in four dimensions
Point_groups_in_four_dimensions
Five-dimensional geometric shape
q,2r,s} Alternated truncated rectification ht0,1,2,3{p,q,r,s} Alternated runcicantitruncation Full snub ht0,1,2,3,4{p,q,r,s} Alternated omnitruncation
Uniform_5-polytope
Polyhedron resulting from the snub operation
operators v t e Seed Truncation Rectification Bitruncation Dual Expansion Omnitruncation Alternations t0{p,q} {p,q} t01{p,q} t{p,q} t1{p,q} r{p,q} t12{p,q} 2t{p
Snub_polyhedron
16-cell, with two families of truncated octahedral cells. D4 [31,1,1]: An omnitruncation of the demitesseract, with three families of truncated octahedral cells
Truncated_24-cells
tiling, h2{4,6} By *663 symmetry, this tiling can be constructed as an omnitruncation, t{(6,6,3)}: The dual to this tiling represent the fundamental domains
Truncated order-6 hexagonal tiling
Truncated_order-6_hexagonal_tiling
Convex polyhedron projected from hypercube
of regular-faced zonohedra, there are three Archimedean solids, all omnitruncations of the regular forms: The truncated octahedron, with 6 square and 8
Zonohedron
With mirrors An alternate construction exists from the [(5,5,3)] family, as the omnitruncation t012(5,5,3). It is shown with two (colors) of decagons.
Truncated order-6 pentagonal tiling
Truncated_order-6_pentagonal_tiling
OMNITRUNCATION
OMNITRUNCATION
OMNITRUNCATION
OMNITRUNCATION
Male
Dutch
, man, warrior.
Girl/Female
Indian, Sanskrit
Path of the Wind
Boy/Male
Hindu, Indian, Tamil, Telugu
Smile and Joy; Deer
Boy/Male
Arabic
Arranger
Boy/Male
Muslim
Winner, Gainer
Boy/Male
Hindu, Indian, Kannada, Telugu
Worshipped
Girl/Female
Tamil
Hairy, Charming, The female form of romulus, The female form of romulus
Girl/Female
African, American, Greek, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Swahili, Telugu
Graceful; Beautiful; Artistic; The Dark One; A Bud; Goddess Parvati; Goddess Kali; The Great Goddess; A Form of Durga; The Black One
Girl/Female
Hindu, Indian
Art of Life; Curiosity
Male
English
Anglicized form of Greek Maththias, MATTHIAS means "gift of God." In the bible, this is the name of the apostle who took the place of Judas Iscariot.
OMNITRUNCATION
OMNITRUNCATION
OMNITRUNCATION
OMNITRUNCATION
OMNITRUNCATION