On getting to know the work of Boris Lishak…

Boris Lishak, The University of Sydney, School of Mathematics and Statistics,
Sydney, Australia Postdoctoral Research Associate

ArXiv (6): Filling metric spaces, 2019
Google Scholar with Alexander Nabutovsk on Filling metric spaces
Homepage (Sydney): Toronto
Twitter: arXiv math.DG Differential Geometry Filling metric spaces

Second email: 18 July 2022

Dear Dr. Boris Lishak:

I have slightly updated the last paragraph of my note from July 7, 2022 at 1:17 PM. It would be good to get something into print about the five-octahedral gap and its compilation with the five-tetrahedral gap on the top and bottom as pictured: https://81018.com/15-2/. Of course, my rather preliminary analysis is from my limited perspective and not appropriate for a professional publication. Also, the significance of the fact that five octahedrons are in perfect alignment with the top and bottom five tetrahedrons all opening to that 7.35610+ degree gap, would be better received coming from a few postdocs. If you have no interest in participating, do you know a postdoc who might? Thank you.

Most sincerely,


First email: Thursday, July 7 at 2022 1:17 PM 

Dear Dr. Boris Lishak:

We have been working with the Platonic geometries in our high school and cannot find any references online to a very simple geometric figure of five octahedrons, all sharing a centerpoint (and three sharing two faces with another octahedron and two sharing only one face). It is a very interesting image when the five-tetrahedrons are added on the top and bottom. That stack has 15 objects sharing the centerpoint. I took the picture below just a few weeks ago but, to date, it appears that there is no scholarship about it.

Have you seen any scholarly analysis of it?  If not, it appears from your CV that you have the qualifications and depth of knowledge (Publications and preprints). Would you entertain the idea of being a co-author with a few other postdocs? I have a rough start of it here, yet, of course, you all could easily re-context that work more appropriately. Thank you.



PS The URL: https://81018.com/15-2/. My very preliminary analysis:
https://81018.com/geometries/ Thanks. -BEC

Five-tetrahedrons, five-octahedrons, five tetrahedrons and their gap