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Conservative Byte Drift Machine

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Call a machine that returns bytes for translated bytes while keeping the number of 1-bits constant a "conservative byte drift machine". An initial 3D array of bits is translated according to a drift vector that specifies shifts along the three axes. The array is then partitioned into cubes of size 2.

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Each octet of bits is transduced into the same number of bits at new octet positions according to a rule given by 256 base-256 digits. These 256 digits of the rule are represented by a rule icon which shows each base-256 digit by the hue of a pixel.

Click the rule icon to obtain a new rule number.

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Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA

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In order for a rule to act conservatively at each step, the number of 1-bits in each rule digit must be equal to the number of 1-digits in its Wolfram rule-order digit-position. Among all rules which return bytes for bytes, the natural logarithm of the number of distinct conservative rules is 968.108573542480638.

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