- 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...
- 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...
-
uniform 5-polytope with 3rd
order truncation (
runcination) of the
regular 5-orthoplex.
There are 8
runcinations of the 5-orthoplex with
permutations of truncations...
-
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...
- 6-polytope with 3rd
order truncations (
runcination) of the
regular 6-orthoplex.
There are 12
unique runcinations of the 6-orthoplex with
permutations of...
- 7-polytope with 3rd
order truncations (
runcination) of the
regular 7-simplex.
There are 8
unique runcinations of the 7-simplex with
permutations of truncations...
- { p , q , r } {\displaystyle t_{0,1,2,3}\{p,q,r\}} . (Application of
runcination, cantellation, and
truncation operations) Coxeter-Dynkin diagram: , ...
