Difference between revisions of "Neutronium"
Apple Bottom (talk | contribs) |
Apple Bottom (talk | contribs) (Glossarify) |
||
| (3 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
{{Glossary}} | |||
'''Neutronium''', in the context of multi-state [[Conway's Game of Life|Life]]-like [[cellular automata]], refers to an additional cell state that is permanently live. A cell in the "neutronium" state is also said to be '''neutronic'''. Informally, the term may also be used to refer to '''anti-neutronium''': a cell that is permanently dead. | '''Neutronium''', in the context of multi-state [[Conway's Game of Life|Life]]-like [[cellular automata]], refers to an additional cell state that is permanently live. A cell in the "neutronium" state is also said to be '''neutronic'''. Informally, the term may also be used to refer to '''anti-neutronium''': a cell that is permanently dead. | ||
| Line 18: | Line 18: | ||
Many small patterns evolve the same in Neutronium as they do in Conway's Game of Life; however, the [[HWSS]] is unstable, due to a neutronium cell forming, and the [[R-pentomino]] explodes: | Many small patterns evolve the same in Neutronium as they do in Conway's Game of Life; however, the [[HWSS]] is unstable, due to a neutronium cell forming, and the [[R-pentomino]] explodes: | ||
{{Cquote|But the oddest surprise was the r-pentonimo, which after 76,398 generations had a population of 86,158,122, including an estimated 20,000 gliders flying out in four huge sparse triangular formations (and about 20 orthogonal spaceships), fleeing a central seething ball of neutronioum growing at a rate of about 2/11c[.]|author=Mike Turniansky}} | {{Cquote|But the oddest surprise was the r-pentonimo, which after 76,398 generations had a population of 86,158,122, including an estimated 20,000 gliders flying out in four huge sparse triangular formations (and about 20 orthogonal spaceships), fleeing a central seething ball of neutronioum [sic] growing at a rate of about 2/11c[.]|author=Mike Turniansky}} | ||
===Generalizations and variants=== | ===Generalizations and variants=== | ||
| Line 36: | Line 36: | ||
|title = R-pentomino neutronium | |title = R-pentomino neutronium | ||
|author = Mike Turniansky | |author = Mike Turniansky | ||
|format = ref | |||
}}</ref> | }}</ref> | ||
<references /> | <references /> | ||
Revision as of 08:49, 20 April 2018
Neutronium, in the context of multi-state Life-like cellular automata, refers to an additional cell state that is permanently live. A cell in the "neutronium" state is also said to be neutronic. Informally, the term may also be used to refer to anti-neutronium: a cell that is permanently dead.
The Neutronium rule
Neutronium was first considered by Mike Turniansky for a rule of the same name[1]. In this rule, cells can exist in three states, dead, live and neutronium, the last of which is considered "live"; evolution happens as in Conway's Game of Life, except that a live cell surrounded by eight live neighbors (including neutronic neighbors) will itself turn into neutronium.
More precisely, patterns in this CA evolve according to the following rules:
- A dead cell:
- is born if it has precisely 5 dead neighbors (i.e. precisely 3 neighbors each of which is either live or neutronic).
- A live cell:
- turns into neutronium if it has precisely 0 dead neighbors;
- survives (remains live) if it otherwise has has precisely 5 or 6 dead neighbors;
- dies otherwise.
- A neutronic cell:
- remains neutronic.
Many small patterns evolve the same in Neutronium as they do in Conway's Game of Life; however, the HWSS is unstable, due to a neutronium cell forming, and the R-pentomino explodes:
| “ | But the oddest surprise was the r-pentonimo, which after 76,398 generations had a population of 86,158,122, including an estimated 20,000 gliders flying out in four huge sparse triangular formations (and about 20 orthogonal spaceships), fleeing a central seething ball of neutronioum [sic] growing at a rate of about 2/11c[.] | ” |
| — Mike Turniansky | ||
Generalizations and variants
Neutronium can be generalized in a straightforward manner to outer-totalistic rules other than Conway's Game of Life (B3/S23). Variants of the rule were created by 'c0b0p0' and Alexey Nigin.
Also see
References
<references> [1]
- ↑ 1.0 1.1 Mike Turniansky (March 10, 2014). R-pentomino neutronium (discussion thread) at the ConwayLife.com forums