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🔥#MESScience 2: Vortex Math Part 1: Number Theory and Modular Arithmetic
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 in 3D as a torus with spiral geometry. Marko and many other proponents of vortex math both deify and reify numbers the resulting patterns by viewing the the abstractness of numbers as concrete physical reality.
In this video I go through the fundamentals of vortex math and then generalize to any base number system. This process involves an extensive review of number theory and modular arithmetic in order to understand the underlying patterns, symmetry, and causation that govern all of the 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.
CORRECTION: @ 5:26:45 - Halving and doubling both depend on the number system, but halving depends on the relative value of 10/2.
The topics covered in this video are listed below with their time stamps.
- @ 0:00 - Intro
- @ 1:05 – MES Research Note
- @ 1:54 - Note on Part 1
- @ 2:22 – Topics to Cover
1. - @ 6:12 - Introduction to Vortex Math
- @ 8:30 - Marko Rodin's Claims and Discovery
- 36:36 - Fallacy of Reification
2. @ 42:12 - Overview of Base Number Systems
- @ 42:48 - The Number 0 and 10 in General Number Systems
- @ 50:13 - Converting Number Systems
3. @ 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
4. @ 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
5. @ 2:48:03 - Vortex Doubling Patterns
- @ 3:00:13 - Symmetry of Number Systems Causes the Doubling Patterns
6. @ 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
7. @ 5:18:48 - Vortex Halving Patterns
- @ 5:26:45 - Halving Depends on the Base Number System (See CORRECTION)
- @ 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
8. @ 7:18:26 - Polar Number Pairs and Addition
- @ 8:02:50 - Different Base Number Systems
9. @ 8:42:00 - Summary
10. @ 9:45:05 - Conclusions
11. @ 9:47:07 - Future Parts
Stay Tuned for #MESScience 3…
Download Video Notes:
PDF notes: https://1drv.ms/b/s!As32ynv0LoaIiLViNZ2R3rkdai6Scw?e=QgzXGM
Excel file (right-click to download): https://1drv.ms/u/s!As32ynv0LoaIiI82gTzDXUQePiR7Mg?e=pzXu9v
Video notes: https://peakd.com/hive-128780/@mes/messcience-2-vortex-math-part-1-number-theory-and-modular-arithmetic
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#MESScience: https://mes.fm/science-playlist
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