User:2^67-1/New Hemipyth Nonsense: Difference between revisions
Jump to navigation
Jump to search
mNo edit summary |
mNo edit summary |
||
| Line 1: | Line 1: | ||
NO I AM NOT STARTING A CULT | NO I AM NOT STARTING A CULT | ||
==Not coincidences== | |||
* 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. | * 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 | ** 96 sqrt(1) lengths, 72 sqrt(2) lengths, 96 sqrt(3) lengths, 12 sqrt(4) lengths | ||
| Line 6: | Line 6: | ||
* [https://www.youtube.com/watch?v=ZMkIiFs35HQ 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) | * [https://www.youtube.com/watch?v=ZMkIiFs35HQ 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 | * The truncated Spiral of Theodorus | ||
==Coincidences== | |||
* EulerGamma ≈ 1/sqrt(3) | |||
* QPochhammer[1/2] ≈ 1/sqrt(12) | |||
Revision as of 03:08, 7 April 2025
NO I AM NOT STARTING A CULT
Not coincidences
- 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
Coincidences
- EulerGamma ≈ 1/sqrt(3)
- QPochhammer[1/2] ≈ 1/sqrt(12)