A Dihedral Acute Triangulation of the Cube
Evan VanderZee, Anil N. Hirani, Vadim Zharnitsky, Damrong Guoy
TL;DR
This paper demonstrates the existence of a dihedral acute triangulation of a cube, providing a construction method and discussing its symmetries, which advances understanding in geometric triangulations.
Contribution
It introduces a specific construction of an acute triangulation of the cube with dihedral angles less than 90 degrees, a novel result in geometric triangulation.
Findings
Existence of a dihedral acute triangulation of the cube
Construction method for the triangulation
Discussion of the triangulation's symmetries
Abstract
It is shown that there exists a dihedral acute triangulation of the three-dimensional cube. The method of constructing the acute triangulation is described, and symmetries of the triangulation are discussed.
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
TopicsComputational Geometry and Mesh Generation · Digital Image Processing Techniques · 3D Shape Modeling and Analysis