Envelope

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The envelope of a pattern includes any cell touched during the evolution of that pattern. For an oscillator, it is equivalent to the totality of cells making up that oscillator, i.e. the union of its rotor and stator. The envelope can be colorised according to desired rules as to produce a map.

The envelope corresponds to the state-2 blue cells in LifeHistory.

x = 15, y = 15, rule = B3/S23 7b8o$7bob4obo$7b8o5$3o7bo$obo6bobo$3o5bobo$3o4bobo$3o5bo$3o$obo$3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THUMBSIZE 2 ZOOM 12 GPS 15 THEME Book STARTFROM 15 ]]
Example of an envelope of a p15 oscillator.
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RLE: here Plaintext: here
Catagoluehere

Construction envelope

The construction envelope is the region affected by an active reaction, such as a glider synthesis of an object.

Reaction envelope

The reaction envelope is the collection of cells that are alive during some part of a given active reaction. This term is used for Herschel circuits and other stable circuitry, whereas construction envelope is specific to recipes in self-constructing circuitry.

There are some subtleties at the edges of the envelope. Specifically, two reactions that have the exact same set of cells defining their envelopes may have different behavior when placed next to a single-cell protrusion like the tail of an eater 1, or one side of a tub. The difference depends on whether two orthogonally adjacent cells at the edge of the envelope are ever simultaneously alive, within the protruding cell's zone of influence.

See also

External links