Difference between revisions of "Heat"
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{{Glossary}} | {{Glossary}} | ||
The '''heat''' of an [[oscillator]] or [[spaceship]] is the average number of [[cell]]s that change state in each [[generation]]. For example, the heat of a [[ | [[Image:Blinker_rotor.gif|framed|right|This blinker has heat 4]]The '''heat''' of an [[oscillator]] or [[spaceship]] is the average number of [[cell]]s that change state in each [[generation]]. For example, the heat of a [[blinker]] is 4 because 2 cells are born and 2 die every generation – the four cells that change state each generation are highlighted in green to the right. Similarly, the heat of a [[lightweight spaceship]] is 11 because 9 cells change in its odd-numbered generations (3 cells die and 6 are born) and 13 cells change in its even-numbered generations (8 cells die and 5 are born), for an average of 11 cells changing per generation. | ||
For a [[period]] n oscillator with an r-cell [[rotor]], the heat is at least 2r/n and no more than r(1-(n mod 2)/n). For n=2 and n=3 these bounds are equal. | For a [[period]] n oscillator with an r-cell [[rotor]], the heat is at least 2r/n and no more than r(1-(n mod 2)/n). For n=2 and n=3 these bounds are equal. | ||
[[Temperature]] is a metric of heat in proportion to the total number of active cells. | |||
==External links== | ==External links== | ||
{{LinkWeisstein|Heat.html}} | |||
{{LinkLexicon|lex_h.htm#heat}} | |||
{{LinkForumThread|p=152|title=Re: Golly scripts|author=Nathaniel Johnston}} (script to calculate heat of spaceships and oscillators) | |||
Revision as of 13:49, 1 January 2018
The heat of an oscillator or spaceship is the average number of cells that change state in each generation. For example, the heat of a blinker is 4 because 2 cells are born and 2 die every generation – the four cells that change state each generation are highlighted in green to the right. Similarly, the heat of a lightweight spaceship is 11 because 9 cells change in its odd-numbered generations (3 cells die and 6 are born) and 13 cells change in its even-numbered generations (8 cells die and 5 are born), for an average of 11 cells changing per generation.
For a period n oscillator with an r-cell rotor, the heat is at least 2r/n and no more than r(1-(n mod 2)/n). For n=2 and n=3 these bounds are equal.
Temperature is a metric of heat in proportion to the total number of active cells.
External links
- Heat at the Life Lexicon
- Nathaniel Johnston. Re: Golly scripts (discussion thread) at the ConwayLife.com forums (script to calculate heat of spaceships and oscillators)