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Generalized Digit Parity

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start
0
spread
200
start base
2
base spread
50
color scheme
DarkBands
This Demonstration shows fractal patterns in the generalized digit parity of natural numbers.
The concept of binary parity can be generalized for non-negative integers
n
and for all positive integer bases
b>2
by the definition:
sumofdigitsofninbaseb(modb)
. Plotting these results in two dimensions
(n,b)
produces beautiful fractal patterns. This Demonstration explores a subset of these patterns by allowing the setting of starting values and ranges for
n
and
b
.
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