- In geometry,
runcination is an
operation that cuts a
regular polytope (or honeycomb)
simultaneously along the faces, edges, and vertices,
creating new...
-
uniform 4-polytope,
being a
runcination (a 3rd
order truncation) of the
regular tesseract.
There are 4
variations of
runcinations of the
tesseract including...
- 4-polytope,
being a
runcination (a 3rd
order truncation, up to face-planing) of the
regular 5-cell.
There are 3
unique degrees of
runcinations of the 5-cell...
-
uniform 4-polytope,
being a
runcination (a 3rd
order truncation) of the
regular 120-cell.
There are 4
degrees of
runcinations of the 120-cell including...
- for the 7-simplex with
permutations of truncations, cantellations, and
runcinations.
Small cellated octaexon (acronym: sco) (Jonathan Bowers) The vertices...
- for the 6-cube with
permutations of truncations, cantellations, and
runcinations.
Small cellated hexeract (Acronym: scox) (Jonathan Bowers) Cellirhombated...
-
uniform 4-polytope,
being a
runcination (a 3rd
order truncation) of the
regular 24-cell.
There are 3
unique degrees of
runcinations of the 24-cell including...
- the 7-orthoplex with
permutations of truncations, cantellations, and
runcinations. 14 are more
simply constructed from the 7-cube. This
polytope is one...
- 6-polytope
constructed as a
runcination (3rd
order truncations) of the
regular 6-simplex.
There are 8
unique runcinations of the 6-simplex with permutations...
- 6-polytope with 3rd
order truncations (
runcination) of the
regular 6-orthoplex.
There are 12
unique runcinations of the 6-orthoplex with
permutations of...