# Reversal-Addition Related Systems

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Take a number in binary, reverse its digits, and then add it to the original number. Iterating this process produces interesting behavior. This particular system is called "reversal-addition" and was considered by Stephen Wolfram in *A New Kind of Science*.

Contributed by: Enrique Zeleny (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

All programs have the structure IntegerDigits[FromDigits[primitive[#], 2] + FromDigits[#1, 2], 2] &; otherwise they are no longer reversal-addition-like systems.

Only commands that produce interesting cases with linear growth are shown. Commands that need more than one argument are introduced with their simplest arguments.

This Demonstration was created during the New Kind of Science Summer School 2008 (*NKS|Online*) in Burlington, Vermont.

## Permanent Citation

"Reversal-Addition Related Systems"

http://demonstrations.wolfram.com/ReversalAdditionRelatedSystems/

Wolfram Demonstrations Project

Published: March 7 2011