User:2^67-1/New Hemipyth Nonsense

NO I AM NOT STARTING A CULT

• The 24-cell with side length 1: it only has lengths of sqrt(1), sqrt(2), sqrt(3), and sqrt(4) between any two distinct vertices.
  • 96 sqrt(1) lengths, 72 sqrt(2) lengths, 96 sqrt(3) lengths, 12 sqrt(4) lengths
  • This implies the same property for the 16-cells with side lengths 1 and sqrt(2) and 8-cell (tesseract) with side length 1 as well,a s ewll as every other subset
• Matt Parker calling 2 and 3 subprimes and 2 and 3 literally forming the bedrock of almost every 'natural' JI system (I agree with him)
• The truncated Spiral of Theodorus