Platonic Compounds of Cylinders
Oleg Ogievetsky, Senya Shlosman
TL;DR
This paper explores configurations of congruent cylinders related to Platonic solids, extending known geometric arrangements to new dual configurations involving pairs of Platonic bodies.
Contribution
It introduces a novel generalization of cylinder arrangements based on Platonic solids, expanding the understanding of geometric configurations in three dimensions.
Findings
New configurations of congruent cylinders associated with Platonic bodies
Extension of octahedral cylinder arrangements to dual Platonic pairs
Geometric insights into cylinder arrangements related to Platonic symmetries
Abstract
Generalizing the octahedral configuration of six congruent cylinders touching the unit sphere, we exhibit configurations of congruent cylinders associated to a pair of dual Platonic bodies.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Materials and Mechanics · Structural Analysis and Optimization · Control and Dynamics of Mobile Robots