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Looking for stellation of polyhedra

asked 2019-02-03 11:45:06 -0600

PatB gravatar image

Hi Sagists, I'm wondering if anyone knows a way to do stellation with the Polyhedron class? Mathematica has a Stellate function but they admit it is really an augment operation and not a true stellation thanks Pat Browne

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answered 2019-02-05 15:03:52 -0600

jipilab gravatar image

Hi!

Could give a precise definition of what you mean by stellation?

There is a quick reference page about things you can do with a polyhedron:

https://doc.sagemath.org/html/en/them...

Perhaps what you mean is related to the following methods. Say P is a polyhedron object then

  • P.barycentric_subdivision(): constructs a polyhedron out of P whose facets correspond to complete flags of faces of P.
  • P.stack(face): puts a new vertex a little bit outside of the face face.

In general, Sage tries to follow the nomenclature presented in the Handbook of Discrete and Computational Geometry (Chapter 15):

https://www.csun.edu/~ctoth/Handbook/...

Is the operation described in there?

Otherwise, please let us know what is the operation and we will add it to the desired methods.

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Asked: 2019-02-03 11:45:06 -0600

Seen: 35 times

Last updated: Feb 05