A remark on a construction of D.S. Asche
Ferenc Sz\"oll\H{o}si
TL;DR
The paper discusses a classical construction of 72 equiangular lines in 19-dimensional space, revealing a subset of 54 lines in an 18-dimensional subspace, providing insights into their geometric structure.
Contribution
It identifies a subset of equiangular lines within Asche's construction, highlighting a new geometric embedding in lower-dimensional space.
Findings
54 equiangular lines form a subset in 18-dimensional subspace
The construction contains a specific embedded subset of lines
Provides a geometric insight into the structure of equiangular lines
Abstract
It is shown that a classical construction of D.S. Asche of 72 equiangular lines in the 19 dimensional Euclidean space contains a subset of 54 equiangular lines embedded in an 18 dimensional subspace.
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
TopicsPoint processes and geometric inequalities · Computational Geometry and Mesh Generation · Advanced Numerical Analysis Techniques