- 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...
-
symbols are
listed first,
followed by the
actual mixed Wythoff symbols.
Omnitruncations are also
called cantitruncations or
truncated rectifications (tr),...
-
until edges disappear), and
cantellation (cutting
edges and vertices).
Omnitruncation is an
operation that
combines truncation and cantellation. Snubbing...
-
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...
- entrench, entrenchment, intrench, intrenchment, obtruncate, obtruncation,
omnitruncation, retrench, retrenchment, tranche, tranchet, trench, trenchancy, trenchant...
- are
applied at once, the
operation can be more
generally called an
omnitruncation. One
special operation,
called alternation,
removes alternate vertices...
- together.
Runcicantellation t0,2,3{p,q,r}
Runcitruncated dual {r,q,p}.
Omnitruncation (runcicantitruncation) t0,1,2,3{p,q,r}
Application of all
three operators...
-
Truncation (geometry)
Bitruncation Cantellation Runcination Sterication Omnitruncation Expansion (geometry) Snub (geometry)
Alternation (geometry) Dual polyhedron...
