Ping Xu, Penn State, University Park, PA 16802

Homepage(s): Mathematical structures with Alberto Cattaneo in Zurich, 2003

First email: 21 April 2023 at 12:03 PM

Ref: GAP 2023 at the IHP in Paris

Dear Prof. Dr. Ping Xu,

Two quick questions:

1. Have you ever seen the five- tetrahedral gap (famously missed by Aristotle and documented by Lagarias and Zong, AMS-2015 Conant Award) over and under a five-octahedral gap? It’s a pretty object, but I don’t think there is anybody else who has written about it. Do you think it could be important?

2. Do you know if there are any scholars who have written about the nature of these gaps? How do such gaps manifest within space and time? 

Thank you.

Most sincerely,

Bruce E. Camber

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Editor’s Note: It seems most mathematical scholars are reluctant to open their circles to respond to people who are obviously not part of their very special domain. A special patience and tenacity is necessary. -BEC