Hydra: Difference between revisions

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A fast simulator for the odd/even sequence used by Hydra is available [http://nethack4.org/esolangs/fasthydra.zip here].
A fast simulator for the odd/even sequence used by Hydra is available [http://nethack4.org/esolangs/fasthydra.zip here].
== Name ==
The name ''Hydra'' references the Ancient Greek legend: just as the legendary creature was growing 2 heads after losing 1 head, the $b$ counter that is kept on the right side of the tape is either decremented by or 1 incremented by 2 (approximately with equal frequency if modelled as a random process; in reality it depends on the parity of $a$). The Hydra dies (halts) when the last head is cut.


==Sources==
==Sources==

Revision as of 07:49, 23 July 2024

Hydra is the 2-state 5-symbol machine 1RB3RB---3LA1RA_2LA3RA4LB0LB0LA (bbch).

It simulates the Collatz-like iteration


starting from .[1]

It is closely related to the machine Antihydra.[2]

A fast simulator for the odd/even sequence used by Hydra is available here.

Name

The name Hydra references the Ancient Greek legend: just as the legendary creature was growing 2 heads after losing 1 head, the $b$ counter that is kept on the right side of the tape is either decremented by or 1 incremented by 2 (approximately with equal frequency if modelled as a random process; in reality it depends on the parity of $a$). The Hydra dies (halts) when the last head is cut.

Sources

  1. S. Ligocki, "BB(2, 5) is Hard (Hydra) (2023). Accessed 22 July 2024.
  2. S. Ligocki, "BB(6) is Hard (Antihydra)". Accessed 22 July 2024.