🔥#MESScience 2: Vortex Math Part 1: Number Theory and Modular Arithmetic

in hive-196037 •  4 years ago  (edited)


In #MESScience 2 I cover a relatively unknown concept called “Vortex Math” or “Vortex Based Mathematics” which was founded by Marko Rodin. Vortex math is based upon the continual summing of digits of a number until a single digit is obtained and then using this principle to develop patterns with basic arithmetic in both 2D as a modular clock and grid of numbers; and as well in 3D as a torus with spiral pattern geometry. Marko and many other proponents of vortex math use the patterns generated and both deify and reify numbers by taking the abstractness of numbers and viewing them as concrete physical reality.

In this video I go through the fundamentals of vortex math and then generalize to any base number system in general. This process involves an extensive review on number theory and modular arithmetic in general in order to understand the underlying patterns, symmetry, and causation that govern all of the resulting patterns that arise in vortex math.

In future parts I will look to examine the 2D number grid, 3D vortex torus, and more advanced patterns that tie into the Fibonacci sequence and more.

The topics covered in this video are listed below with their time stamps.

  • @ 1:05 – MES Research Note
  • @ 1:54 - Note on Part 1
  • @ 2:22 – Topics to Cover
    • @ 6:12 - Introduction to Vortex Math
    • @ 8:30 - Marko Rodin's Claims and Discovery
    • 36:36 - Fallacy of Reification
  1. @ 42:12 - Overview of Base Number Systems
    • @ 42:48 - The Number 0 and 10 in General Number Systems
    • @ 50:13 - Converting Number Systems
  2. @ 1:12:34 - Summing of Integer Digits and the Remainder After Division
    • @ 1:24:02 - Division by Largest Unique Digit and Repeating Digits After Decimal Place
    • @ 1:33:57 - MES Convention: Vortex Sum vs Digit Sum
    • @ 1:35:04 - The Modulo Operation (Determining Remainders)
    • @ 1:38:48 - Proof: The Vortex Digit Sum is Equal to the Mod (base - 1)
    • @ 1:48:59 - Using Base 10 to Determine Vortex Sum of Different Bases
  3. @ 2:09:02 - Multiplying a Number and Its Vortex Sum Result in the Same Vortex Sum
    • This is the Causation of Most Vortex Patterns
    • @ 2:42:49 - Modular Arithmetic
  4. @ 2:48:03 - Vortex Doubling Patterns
    • @ 3:00:13 - Symmetry of Number Systems Causes the Doubling Patterns
  5. @ 3:31:38 - Factors that Govern Vortex Patterns
    • @ 3:32:02 - Even and Odd Base Number Systems
    • @ 3:44:30 - Size of Base Number System
      • @ 4:06:59 - Synchronization of Doubling Pattern and Size of Base
        • @ 4:23:03 - Odd Base Number Systems Can't Synchronize With Doubling
    • @ 4:35:00 - Starting Point of Pattern
    • @ 4:47:21 - Multiplying Factor
  6. @ 5:18:48 - Vortex Halving Patterns
    • @ 5:26:45 - Halving Depends on the Base Number System
    • @ 5:36:20 - Converting Halving into Multiplication
    • @ 5:43:46 - Halving is the Reverse of Doubling
    • @ 6:01:10 - Vortex Halving Doesn't Work for Odd Base Number Systems?
    • @ 6:14:07 - Powers of Ten Pattern
    • @ 6:38:49 - General Division to Multiplication Vortex Conversion
      • @ 6:47:30 - Dealing with "Irregular" Division
  7. @ 7:18:26 - Polar Number Pairs and Addition
    • @ 8:02:50 - Different Base Number Systems
  8. @ 8:42:00 - Summary
  9. @ 9:45:05 - Conclusions
  10. @ 9:47:07 - Future Parts

Stay Tuned for #MESScience 3…

Download Video Notes:

PDF notes: https://1drv.ms/b/s!As32ynv0LoaIiLViNZ2R3rkdai6Scw?e=QgzXGM
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View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/messcience-2-vortex-math-part-1-number-theory-and-modular-arithmetic

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In #MESScience 2, I go over Part 1 of an obscure concept called “vortex math” or “vortex based mathematics” and which involves me doing an extensive deep-dive into modular arithmetic and number theory to understand the resulting patterns.

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/messcience-2-vortex-math-part-1-number-theory-and-modular-arithmetic

View full #MESScience video series: http://mes.fm/science-playlist