IceNine: Difference between revisions

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{{Glossary}}{{about|a hypothetical unstoppable quadratic growth pattern|a Life-like rule|OCA:Iceballs}}
{{Glossary}}{{about|a hypothetical unstoppable quadratic growth pattern|a Life-like rule|OCA:Iceballs}}
'''IceNine'''{{refn|group=note|The name is a reference to the [https://en.wikipedia.org/wiki/Ice-nine chemical of the same name] in the novel ''[https://en.wikipedia.org/wiki/Cat's_Cradle Cat's Cradle]'' by [https://en.wikipedia.org/wiki/Kurt_Vonnegut Kurt Vonnegut], with similar properties to the hypothetical pattern. It is not related to [https://en.wikipedia.org/wiki/Ice_IX Ice IX], a metastable form of solid water.}} is [[Dave Greene]]'s name for a hypothetical unstoppable [[quadratic growth]] pattern that expands outward through random [[ash]] at [[speed]] c/137, described as follows in a tongue-in-cheek post in February {{year|2008}}:
'''IceNine'''{{refn|group=note|The name is a reference to the [https://en.wikipedia.org/wiki/Ice-nine chemical of the same name] in the novel ''[https://en.wikipedia.org/wiki/Cat's_Cradle Cat's Cradle]'' by [https://en.wikipedia.org/wiki/Kurt_Vonnegut Kurt Vonnegut], with similar properties to the hypothetical pattern. It is not related to [https://en.wikipedia.org/wiki/Ice_IX Ice IX], a metastable form of solid water.}} is [[Dave Greene]]'s name for a hypothetical unstoppable [[quadratic growth]] pattern that expands outward through random [[ash]] at [[speed]] c/137,{{refn|group=note|The coefficient <tt>1/137</tt> is likely a reference to the {{LinkWikipedia|Fine-structure_constant|name=fine-structure constant|nobullet=nobullet|nosuffix=nosuffix}}, a physical constant independent on the system of units in which it is measured. It was thought to be exactly <tt>1/137</tt>, but more accurate measurements have found its denominator to be more precisely <tt>137.035999206</tt>. (See {{OEIS|A005600}}.)}} described as follows in a tongue-in-cheek post in February {{year|2008}}:{{refn|group=note|The dimensions <tt>x {{=}} 2718</tt> and <tt>y {{=}} 4669</tt> of the omitted [[RLE|RLE file]] are likely references to {{LinkWikipedia|E_(mathematical_constant)|name=Euler's number|nobullet=nobullet|nosuffix=nosuffix}} and {{LinkWikipedia|Feigenbaum's_constant|name=Feigenbaum's constant|nobullet=nobullet|nosuffix=nosuffix}} respectively, being the first four digits of each constant.}}


{{Cquote|Aha!  You and your intuition have clearly not been exposed to the IceNine Agar, found recently with an alternate-universe oscilloscope:
{{Cquote|Aha!  You and your intuition have clearly not been exposed to the IceNine Agar, found recently with an alternate-universe oscilloscope:
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==Notes==
==Notes==
<references group="note" />
<references group="note" />
The coefficient <tt>1/137</tt> is likely a reference to the {{LinkWikipedia|Fine-structure_constant|name=fine-structure constant|nobullet=nobullet|nosuffix=nosuffix}}, a physical constant independent on the system of units in which it is measured. It was thought to be exactly <tt>1/137</tt>, but more accurate measurements have found its denominator to be more precisely <tt>137.035999206</tt>. (See {{OEIS|A005600}}.)</ref>
The dimensions <tt>x = 2718</tt> and <tt>y = 4669</tt> of the omitted [[RLE|RLE file]] are likely references to {{LinkWikipedia|E_(mathematical_constant)|name=Euler's number|nobullet=nobullet|nosuffix=nosuffix}} and {{LinkWikipedia|Feigenbaum's_constant|name=Feigenbaum's constant|nobullet=nobullet|nosuffix=nosuffix}} respectively, being the first four digits of each constant.


==References==
==References==

Latest revision as of 20:11, 18 May 2025

This article is about a hypothetical unstoppable quadratic growth pattern. For a Life-like rule, see OCA:Iceballs.

IceNine[note 1] is Dave Greene's name for a hypothetical unstoppable quadratic growth pattern that expands outward through random ash at speed c/137,[note 2] described as follows in a tongue-in-cheek post in February 2008:[note 3]

He went on to further characterize IceNine as follows:

It is generally agreed that a pattern exhibiting the characteristics of IceNine cannot exist in Conway's Game of Life, but a formal proof remains elusive. However, mechanisms that a replicator could implement to clear random ash fields with a similar "dying back" process to the one described by Greene to act as a failsafe have been proposed and have been demonstrated to work with greater than 50% odds of success.[1]

Notes

  1. ↑ The name is a reference to the chemical of the same name in the novel Cat's Cradle by Kurt Vonnegut, with similar properties to the hypothetical pattern. It is not related to Ice IX, a metastable form of solid water.
  2. ↑ The coefficient 1/137 is likely a reference to the fine-structure constant , a physical constant independent on the system of units in which it is measured. It was thought to be exactly 1/137, but more accurate measurements have found its denominator to be more precisely 137.035999206. (See  A005600.)
  3. ↑ The dimensions x = 2718 and y = 4669 of the omitted RLE file are likely references to Euler's number and Feigenbaum's constant respectively, being the first four digits of each constant.

References

  1. ↑ mscibing (October 23, 2021). Re: Clearing Ash (discussion thread) at the ConwayLife.com forums
  • Adam P. Goucher (June 13, 2009). Re: Stable Life? (discussion thread) at the ConwayLife.com forums