Recreational math visualizer
369 Pattern Explorer for Digital Roots and Vortex-Math Loops
Explore the arithmetic behind 3-6-9 diagrams without turning number patterns into a Tesla quote or physics claim.
Explore digital-root patterns
Pattern
Digital roots
| Step | Value | Digital root | Class |
|---|
Why 3, 6, and 9 appear
Digital roots make divisibility by 3 and 9 highly visible. Multiples of 3 reduce to 3, 6, or 9. Multiples of 9 reduce to 9. Repeated doubling from 1 cycles through 1, 2, 4, 8, 7, and 5, while 3 and 6 form their own loop and 9 remains fixed. That is interesting arithmetic, not a source for a Tesla quotation.
Explorer FAQ
What is a digital root?
A digital root is the single-digit value produced by repeatedly adding a whole number's digits. For positive numbers it matches the number modulo 9, with multiples of 9 shown as 9.
Does the 369 pattern prove Tesla was right?
No. Digital-root patterns are real arithmetic, but they do not verify the unsourced claim that Tesla called 3, 6, and 9 the key to the universe.
Why do doubling loops skip 3, 6, and 9?
Starting from 1 and doubling modulo 9 cycles through 1, 2, 4, 8, 7, and 5. Starting from 3 cycles between 3 and 6, while 9 stays 9.