# Thread: Base 6 the magic base

1. Whatever happened to CDC anyway. I believe FSU went to some version of VAX in 74-75. Been a long time.  Reply With Quote

2. https://blog.world-mysteries.com/sci...umbers-magick/
666 and the Magickal Seal of the Sun

"the Grand Number of the Sun” contains the very sacred number 36 laid out in a 6×6 square with the numbers from 1 to 36 so arranged that they add up the same in all directions, with the total of the whole seal 666.
So that combines the special numbers 6 and 36 with 666....

That link also has many other related things  Reply With Quote

3. Apparently Nikola Tesla said: "If you only knew the magnificence of the 3, 6 and 9, then you would have a key to the universe."

https://blog.world-mysteries.com/sci...-the-universe/

About the "digital root" (repeatedly summing the digits)

There are 360 degrees in a circle (base 10)

3+6+0 = 9

180 = 1+8+0 = 9

90 = 9+0 = 9

45 = 4+5 = 9

22.5 = 2+2+5 = 9

11.25 = 1+1+2+5 = 9

5.625 = 5+6+2+5 = 18 = 1+8 = 9

2.8125 = 2+8+1+2+5 = 18 = 1+8 = 9

etc etc

Angles in a square
= 90 x 4 = 360 = 3+6+0 = 9

Angles in a pentagon
= 108 x 5 = 540 = 5+4+0 = 9

Angles in a hexagon
= 120 x 6 = 720 = 7+2+0 = 9  Reply With Quote

4. A multiple of 9 (e.g. 360) when doubled, is still a multiple of 9 - so it keeps having a digital root of 9.... I don't understand why this is still the case when it is repeatedly halved, even when it has decimal places.  Reply With Quote

5. https://blog.world-mysteries.com/sci...umbers-magick/

1 = 1
2 = 2
4 = 4
8 = 8
16 = 7
32 = 5
64 = 1
128 = 2
256 = 4
512 = 8
1,024 = 7
2,048 = 5

There is a 6 digital root sequence that repeats.... (1,2,4,8,7,5)

It also happens backwards when you halve it...

1 = 1
0.5 = 5
0.25 = 7
0.125 = 8
0.0625 = 13 = 4
0.03125 = 11 = 2
0.015625 = 19 = 10 = 1
0.0078125 = 23 = 5

https://rense.com/rodinaerodynamics.htm   Reply With Quote

6. https://blog.world-mysteries.com/sci...umbers-magick/

The Fibonacci series has a pattern that repeats every 24 numbers
......
Applying numeric reduction to the Fibonacci series produces an infinite series of 24 repeating digits:

1, 1, 2, 3, 5, 8, 4, 3, 7, 1, 8, 9, 8, 8, 7, 6, 4, 1, 5, 6, 2, 8, 1, 9

If you take the first 12 digits and add them to the second twelve digits and apply numeric reduction to the result, you find that they all have a value of 9.  Reply With Quote

7. Originally Posted by excreationist A multiple of 9 (e.g. 360) when doubled, is still a multiple of 9 - so it keeps having a digital root of 9.... I don't understand why this is still the case when it is repeatedly halved, even when it has decimal places.
Because 9=10-1, and 10 has 2 as one of its prime factors.

It really is that simple. 15 in base 16, 59 in base 60, 11 in base 12 or 5 in base 6 al show the same "magic" behaviour.

The reason it also works for decimals is that 22.5 * 10, 11.25 * 100 are divisible by 9, necessarily so - because heading h is dividing by a prime factor if the base.  Reply With Quote

8. @Jokodo:

Thanks, I'll look into this using base 6....

instead of 9 I'll use 5 when halving:

5 = 5
2.3 = 2+3 = 5
1.13 = 1+1+3 = 5
0.343 = 3+4+3 = 14 = 1+4 = 5
0.1513 = 1+5+1+3 = 14 = 1+4 = 5

Note I did things like (5/16).toString(6) and (3+4+3).toString(6)

I think 5 is more of a magic number than 9.... see the pentagram in post 18

Code:
```function digitRoot(num, base) {
return ((parseInt(num, base) - 1) % (base - 1)) + 1;
}```

And now about the Fibonacci sequence:

0: 1 = 1 
1: 1 = 1 
2: 2 = 2 
3: 3 = 3 
4: 5 = 5 
5: 8 = 12 
6: 13 = 21 
7: 21 = 33 
8: 34 = 54 
9: 55 = 131 
10: 89 = 225 
11: 144 = 400 
12: 233 = 1025 
13: 377 = 1425 
14: 610 = 2454 
15: 987 = 4323 
16: 1597 = 11221 
17: 2584 = 15544 
18: 4181 = 31205 
19: 6765 = 51153 
20: 10946 = 122402 
21: 17711 = 213555 
22: 28657 = 340401 
23: 46368 = 554400 
24: 75025 = 1335201 
25: 121393 = 2334001 
26: 196418 = 4113202 
27: 317811 = 10451203 
28: 514229 = 15004405 
29: 832040 = 25500012 
30: 1346269 = 44504421 

#0 to #9
1,1,2,3,5,3,3,1,4,5
#10 to #19
4,4,3,2,5,2,2,4,1,5

that involves a pair of numbers, then two other numbers that add up to 5, then a 5...

I think base 6 is better since the pattern repeats faster. Note that in base 6, 5+5 = 14 = 5....

I guess the digital root sum of the digital roots is the same as the digital roots of the regular sum

doubling:
1 = 1
2 = 2
4 = 4
8 = 12 = 3
16 = 24 = 1
32 = 52 = 2
64 = 144 = 4
128 = 332 = 3

The pattern in base 6:   Reply With Quote

9. Originally Posted by excreationist @Jokodo:

Thanks, I'll look into this using base 6....

instead of 9 I'll use 5 when halving:

5 = 5
2.3 = 2+3 = 5
1.13 = 1+1+3 = 5
0.343 = 3+4+3 = 14 = 1+4 = 5
0.1513 = 1+5+1+3 = 14 = 1+4 = 5

Note I did things like (5/16).toString(6) and (3+4+3).toString(6)

I think 5 is more of a magic number than 9.... see the pentagram in post 18

Code:
```function digitRoot(num, base) {
return ((parseInt(num, base) - 1) % (base - 1)) + 1;
}```

And now about the Fibonacci sequence:

0: 1 = 1 
1: 1 = 1 
2: 2 = 2 
3: 3 = 3 
4: 5 = 5 
5: 8 = 12 
6: 13 = 21 
7: 21 = 33 
8: 34 = 54 
9: 55 = 131 
10: 89 = 225 
11: 144 = 400 
12: 233 = 1025 
13: 377 = 1425 
14: 610 = 2454 
15: 987 = 4323 
16: 1597 = 11221 
17: 2584 = 15544 
18: 4181 = 31205 
19: 6765 = 51153 
20: 10946 = 122402 
21: 17711 = 213555 
22: 28657 = 340401 
23: 46368 = 554400 
24: 75025 = 1335201 
25: 121393 = 2334001 
26: 196418 = 4113202 
27: 317811 = 10451203 
28: 514229 = 15004405 
29: 832040 = 25500012 
30: 1346269 = 44504421 

#0 to #9
1,1,2,3,5,3,3,1,4,5
#10 to #19
4,4,3,2,5,2,2,4,1,5

that involves a pair of numbers, then two other numbers that add up to 5, then a 5...

I think base 6 is better since the pattern repeats faster. Note that in base 6, 5+5 = 14 = 5....

I guess the digital root sum of the digital roots is the same as the digital roots of the regular sum

doubling:
1 = 1
2 = 2
4 = 4
8 = 12 = 3
16 = 24 = 1
32 = 52 = 2
64 = 144 = 4
128 = 332 = 3

The pattern in base 6: Still not seeing anything magic...  Reply With Quote

10. Originally Posted by Jokodo Still not seeing anything magic...
Yeah I changed my mind about that... unless I discover alphanumeric messages in base 36 numbers like the "Magickal Seal of the Sun" magic square....  Reply With Quote

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