Neeldhara
  • About
  • Research
    • Overview
    • People
    • Publications
    • Surveys
  • Teaching
    • Courses
    • Materials
  • Lists
    • Puzzles
    • Bookmarks
  • Exposition
    • Talks
    • Videos
  • Events
  • Blog

#15. Only Two Distances

Published

16 Nov, 2023

(Back to course page.)

Link to Slides · Link to recording


Prompts for discussion:

  1. The proof for the bound on the number of equidistant points was borrowed from this answer.

  2. A natural question seems to be: what about three distances? Or nnn points and kkk distinct distances?

  3. What the number of points where one distance is seen at most ppp times and the other is seen at most qqq times? In particular, I was wondering if we could get to an “almost one distance” situation by saying that the “other distance” does not manifest frequently.


© 2022 • Neeldhara Misra • Credits •

 

Corrections? Please leave a comment here or a PR in this repository, thanks!

I’d rather be a failure at something I love than a success at something I hate.

George Burns

You live and you learn — at any rate, you live.

Douglas Adams

A problem worthy of attack proves its worth by fighting back.

Paul Erdos

×