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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,585

0, 1, 2, 3, 4, 5, 6, 8, 9, 12. End of Series, no more digits.

It is created from some 3-D object.

The square roots are left off because they are not needed for my purpose of size comparison.

**igloo** **myrtilles** **fourmis**

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,585

Hint: The object is a 3 x 3 x 3 matrix with 27 locations, looks like a rubiks cube but includes the center cube too for 27.

**igloo** **myrtilles** **fourmis**

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,585

Hint: We are moving around inside the object from box to box...

**igloo** **myrtilles** **fourmis**

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,585

squares of distances avoids square rooted numbers, hence use a^2 + b^2 + c^2, where

a, b, c are either 0, 1, or 2, to indicate distance travelled.

x y z

x z y

y x z

y z x

z x y

z y x

0 0 0 = 0

0 0 1 = 1

0 1 1 = 2

1 1 1 = 3

0 0 2 = 4

0 2 1 = 5

2 1 1 = 6

0 2 2 = 8

2 2 1 = 9

2 2 2 = 12

Note for a code, you could rename 8, 9, and 12 to 7, 8, and 9, using all 10 digits.

**igloo** **myrtilles** **fourmis**

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