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  Topic: How does Stella4D determine the dual?
adrian

Replies: 30
Views: 40183

PostForum: Stella Forum   Posted: Mon Aug 24, 2015 7:22 am   Subject: How does Stella4D determine the dual?

The centroid, for triangle side length of 1, is ~0.419 (according to Mathematica), but ~0.544 (according to Antiprism). Not sure what I've done differently,


I see the difference now, ~0.419 is ...
  Topic: How does Stella4D determine the dual?
adrian

Replies: 30
Views: 40183

PostForum: Stella Forum   Posted: Sun Aug 23, 2015 9:34 pm   Subject: How does Stella4D determine the dual?

The centroid, for triangle side length of 1, is ~0.419 (according to Mathematica), but ~0.544 (according to Antiprism). Not sure what I've done differently, or am missing.
The bottom three vertices ...
  Topic: How does Stella4D determine the dual?
adrian

Replies: 30
Views: 40183

PostForum: Stella Forum   Posted: Sun Aug 23, 2015 3:29 pm   Subject: How does Stella4D determine the dual?
Going back to the canonical construction of the solid and its dual, we can readily see that your Chestahedron/ellipsoid construction is a simple stretching of the canonical construction and that symme ...
  Topic: How does Stella4D determine the dual?
adrian

Replies: 30
Views: 40183

PostForum: Stella Forum   Posted: Fri Aug 21, 2015 6:26 am   Subject: How does Stella4D determine the dual?
The term "dual" isn't well defined for polyhedra.

If the base model has central symmetry and you reciprocate in a sphere with this centre then you will probably get general agreement that ...
  Topic: How does Stella4D determine the dual?
adrian

Replies: 30
Views: 40183

PostForum: Stella Forum   Posted: Thu Aug 20, 2015 10:18 am   Subject: How does Stella4D determine the dual?
The canonical form of the chesterhedron is geometrically self-dual by reciprocation in a sphere.

conv_hull Chestahedron-Pts.off | canonical -l 15 | pol_recip -a -c M -n 10000 | antiview

http:// ...
 
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