Skip to content
View bestape's full-sized avatar

Sponsoring

@creativecommons

Organizations

@lexDAO @daocoa

Block or report bestape

Block user

Prevent this user from interacting with your repositories and sending you notifications. Learn more about blocking users.

You must be logged in to block users.

Please don't include any personal information such as legal names or email addresses. Maximum 100 characters, markdown supported. This note will be visible to only you.
Report abuse

Contact GitHub support about this user’s behavior. Learn more about reporting abuse.

Report abuse
bestape/README.md

hello visitor! 👋

My focus for the past few years has been on the intersection of non-halting mathematics and computer science.

The questions I've asked with prolonged contemplation include:

  • How can we better understand and leverage recursive patterns?

  • What's the difference between recursion and iteration?

discoveries

discoveries

A Pythagorean triple example of a non-halting tiling system:

  • a ( 2 / 3 )^n scale symmetry log function;

  • a 12-by-18 parent rectangle; and

  • a repeating rectangle with an n = 0 of 12-by-10.

Printed by this alchemy repository.

OEIS contributions

OEIS contributions

Context:

  • 1 + sqrt(#):

  • 1 + #sqrt(2):

  • 1 + #sqrt(3):

  • 1 + #sqrt(4):

    • #2 ~ A330395 ~ 5,

    • #3 ~ A330396 ~ 7,

    • #4 ~ A330397 ~ 9.

  • 1 + #sqrt(5):

    • #2 ~ A330398,

    • #3 ~ A330399,

    • #4 ~ A330400.

  • Inchoate conjecture:

    • These { this, this } YouTube videos, namely how

    • the unique parts { cos(#) & +0,-2,... "oscillating even", sin(#) & +1,-3,... "oscillating odd" }, and

    • the unique parts { cos(#)*cos(#) & 1 + "Sum", sin(#)*sin(#) & - "Sum" }, rhyme with

      • { (c + b) ~ 2b*x^0 + 2b*x^2 + ..., a ~ 2b*x^1 + 2b*x^3 + ... },

      • given a^2 + b^2 = c^2 and (c - b) / a = x, which is

      • context for x^0 = 1 as well as 2b = 1; 2b*x^0 = 1;

    • and also rhyme with

      • the A099603 Fibonacci sequence approximations of 1 + sqrt5 and (1 + sqrt5) / 2 = Golden ratio, which is

      • context for why the geometric series and Silver 日本 ratio are uniquely non-halting sequences.

in a nutshell

in a nutshell
  • ( c - b ) / a = x^1 moves toward the vanishing point. (Myself).

  • x^0 = 1 is the current position. (Me).

  • a / ( c - b ) = x^-1 moves away from the vanishing point. (I).

Pinned Loading

  1. alchemy alchemy Public

    Generate any a-by-( b + c ) finite rectangle SVG containing potentially Infinitely many a-by-( 2 * b ) finite rectangles animated along a number line of ( ( c - b ) / a )^n scale symmetry.

    HTML 30 2

  2. .0.sh .0.sh Public

    Forked from startup-class/dotfiles

    Dotfiles for a new Linux machine.

    Emacs Lisp

  3. heroku.node.js-urlForward heroku.node.js-urlForward Public

    A smart forwarding service for heroku deploy.

    JavaScript