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...

entrench, entrenchment, intrench, intrenchment, obtruncate, obtruncation, omnitruncation, retrench, retrenchment, tranche, tranchet, trench, trenchancy, trenchant...

until edges disappear), and cantellation (cutting edges and vertices). Omnitruncation is an operation that combines truncation and cantellation. Snubbing...

Truncation (geometry) Bitruncation Cantellation Runcination Sterication Omnitruncation Expansion (geometry) Snub (geometry) Alternation (geometry) Dual 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...

can have faces that are not simplices. This is the dual operation to omnitruncation. The vertices of the barycentric subdivision correspond to the faces...

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...

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...

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:...

diagram = 4-polytope net Omnitruncation omni. 5-cell omni. demitesseract omni. tesseract omni. 24-cell omni. 120-cell Omnitruncation dual net Coxeter diagram...