Collatz 5n+1 simulator

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Collatz 5n+1 simulator
Collatz 5n+1 simulator image
Pattern type Miscellaneous
Number of cells 30167
Bounding box 4700×4491
Discovered by David Bell
Year of discovery 2017


Collatz 5N+1 simulator is an unknown fate pattern constructed by David Bell in December 2017 that simulates the Collatz 5N+1 algorithm using sliding block memory and p1 technology, while always having a population below 32000.[1]

The algorithm is simple. Starting with a number, if it is even divide it by 2, otherwise multiply it by 5 and add 1. When this process is iterated a sequence of numbers is generated. When starting with the value of 7, it is currently unknown whether or not the sequence ever forms a cycle.

Because of this the fate of the simulator is also currently unknown. It may become stable, or become an oscillator with a high period, or have a bounding box which grows irregularly.

External links

References

  1. David Bell (10 December 2017). "Life object having a bounded population with an unknown fate". Retrieved on 29 August 2018.