Fuse

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A fuse is a wick that burns at one end, possibly creating byproducts. A clean fuse is much to be desired, even one leaving no residue. The messier the debris, the harder it would be to combine it with something else. Like pure glider generators, fuses were of early academic interest in the 1970s and often reported in Lifeline issues, but nowadays fuses that are not reburnable have been found to be so numerous that new examples no longer receive much attention.

Fuse may also refer to a still life component consisting of a diagonal line of two or more live cells. This article is about the first definition, above.

Examples

Various details which can be observed while examining the history of a burnt fuse:

  • It is usually named for a noteworthy initial condition or avatar, which may or may not reappear as the fuse burns. If it reappears, the smallest, or most symmetrical, phase would probably have been chosen as the namesake and initiator.
  • During and after startup a fuse may leave no residue, leave an initial residue which could change form or altogether disappear after a time, or persist for a long time.
  • Three times are important statistics for the fuse:
    • the transient time, after which it has entered a cycle
    • the length of the internal cycle, after which the avatar repeats
    • the length of the external cycle, which is the time for debris left by the burning to repeat, which may be a multiple of the internal cycle since it may require time to settle down. As the externally visible cycle, it is the one cited as the period of the fuse.
  • A fuse may arise from a moving phase change in a wick without destroying the integrity of the wick, as for the phoenix-tub eater or the lightspeed wire. Indeed, all equilibria might be so regarded.

Raw diagonal

x = 14, y = 13, rule = B3/S23 12b2o$11bobo$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo$2bo$bo$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 14 ]]
Raw diagonal:[1] transient time 0, cycle 1, period 1
(click above to open LifeViewer)
RAWDGL.PNG
equilibrium: keeps on losing the SW end cell, evolves into a NW block

Hivemaker

x = 17, y = 14, rule = B3/S23 15b2o$14bobo$13bo$12bo$11bo$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo$3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 14 ]]
Hivemaker: transient time 14, cycle 4, period 4
(click above to open LifeViewer)
RLE: here Plaintext: here
MKRHIV.PNG
equilibrium

Baker

x = 16, y = 14, rule = B3/S23 14b2o$13bobo$12bo$11bo$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo$3o$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 14 ]]
Baker:[1] Transient time 7, cycle 2, period 4
Discoverer: Keith McClelland
(click above to open LifeViewer)
RLE: here Plaintext: here
MKRBKR.PNG
equilibrium

Beacon maker

x = 16, y = 15, rule = B3/S23 14b2o$13bobo$12bo$11bo$10bo$9bo$8bo$7bo$6bo$5bo$4bo$3bo$3o$2bo$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 14 ]]
Beacon maker:[1] transient time 16, cycle 4, period 8
discoverer: Steve Tower, Lifeline Volume 1[2]
(click above to open LifeViewer)
RLE: here Plaintext: here
MKRBCN.PNG
equilibrium

Boat maker

x = 18, y = 17, rule = B3/S23 16b2o$15bobo$14bo3b$13bo4b$12bo5b$11bo6b$10bo7b$9bo8b$8bo9b$7bo10b$6bo 11b$5bo12b$5o13b$4bo13b$4bo13b$4bo13b$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 14 ]]
boat maker:[1] transient time 5, cycle 2, period 4
discovery: Lifeline Volume 1[2]
(click above to open LifeViewer)
RLE: here Plaintext: here
MKRBOA.PNG
equilibrium

Harvester

x = 18, y = 15, rule = B3/S23 16b2o$15bobo$14bo$13bo$12bo$11bo$10bo$9bo$8bo$7bo$6bo$5bo$5o$4o$ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 14 ]]
harvester:[1] transient time 5, cycle 4, period 4
discovery: David Poyner, February 1971 Scientific American column[2]
(click above to open LifeViewer)
RLE: here Plaintext: here
MKRVST.PNG
equilibrium

Ship maker

x = 44, y = 43, rule = B3/S23 42b2o$41bobo$40bo$39bo$38bo$37bo$36bo$35bo$34bo$33bo$32bo$31bo$30bo$29b o$28bo$27bo$26bo$25bo$24bo$23bo$22bo$21bo$20bo$19bo$18bo$17bo$11b6o$10b o5bo$9bo6bo$10bo5bo$5b2o4bo4bo$4bo3bo3bo3bo$4bo2b3o3bobo$2bob2o2bobo3b o$bo7b3o$4b3o3bo$o6bo4bo$o2b2o2bobo2bo$bobobobob3o$2o2b2o$2o7bo$2b3o3b o$2b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 HEIGHT 500 ]]
ship maker:[3] period 4
discovery: Nathaniel Johnston
(click above to open LifeViewer)
RLE: here Plaintext: here

Dual fuse

x = 29, y = 28, rule = B3/S23 2$21b2o$22bo$21bo$20bo3b2o$19bo3bobo$18bo3bo$17bo3bo$16bo3bo$15bo3bo$ 14bo3bo$13bo3bo$12bo3bo$11bo3bo$10bo3bo$9bo3bo$8bo3bo$7bo3bo$6bo3bo$5b o3bo$4bo3bo$3bo3bo$2bo3bo$bo3bo$2bobo$3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
Dual fuse: transient time 7, cycle 2, period 4
(click above to open LifeViewer)
RLE: here Plaintext: here

DUALEQ.PNG
equilibrium

Tubs eating phoenix

x = 23, y = 23, rule = B3/S23 21b2o2$19b2o2$17b2o2$15b2o2$13b2o2$11b2o2$9b2o2$7b2o2$5b2o2$3b2o$2bo$ bobo$obo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
tubs eating phoenix: transient time 0, cycle 2, period 2
(click above to open LifeViewer)
RLE: here Plaintext: here

PHXTUB.PNG
Equilibrium: loses a domino, lengthens barge, all at uniform width


Cow

x = 40, y = 7, rule = B3/S23 2o7b2o2b2o2b2o2b2o2b2o2b2o2b2o$2o4bob3o2b2o2b2o2b2o2b2o2b2o2b2o3b2o$4b 2obo29bobo$4b2o3b29o$4b2obo30bo$2o4bob3o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$ 2o7b2o2b2o2b2o2b2o2b2o2b2o2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 ]]
Cow:[4] period 8
equilibrium: burns left-to-right, evolves into a block
Discoverer: Don Woods
(click above to open LifeViewer)
RLE: here Plaintext: here

Lightspeed wire

Main article: Lightspeed wire
CWIRE.GIF
lightspeed wire: transient time 0, cycle 4, period 4
equilibrium: the glitch moves off to the right along a protected rail

Beehive fuse

x = 30, y = 32, rule = B3/S23 2ob2o$o3bo$b3o3$3b2o$2bo2bo$3b2o6$7bo$6bobo$6bobo$7bo$15b2o$14bo2bo$ 15b2o6$19bo$18bobo$18bobo$19bo$27b2o$26bo2bo$27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 12 HEIGHT 560 ]]
beehive fuse:[1] period 128
equilibrium: burns at 3c/32 until the house runs out of beehives
(click above to open LifeViewer)
RLE: here Plaintext: here

Reverse fuse

initial configuration of a reverse fuse
equilibrium configuration of a reverse fuse

As suggested by Bill Woods on Lifeline,[4] a reverse fuse is not so much the name of a fuse as a description of fuse behavior. Given that a wick is a stable one dimensional Life pattern and that a fuse and its burning refer to a progressive disruption of the wick, the expectation is that a growing cloud of debris will form as the wick progressively disintegrates. So, the reverse of this scenario would be that the combustion settles down into an orderly process.

Although the term refers to no particular fuse, a simple example will serve to illustrate the principle. Whereas a diagonal string of live cells constitutes a stable wick, a semiinfinite string burns by dropping the cell at the tip of its tail every generation. But a cluster of live cells surrounding the tail complicates the evolution; the simple variant of placing a domino at the tip is shown in the first figure.

That fuse will burn for a while, leaving a residue behind. But eventually it will evolve into the form shown in the second figure; a pattern which reproduces itself in displaced form every fourth generation.

The raw diagonal fuse is a prolific source of variants, many of them reverse fuses.

See also

References

  1. 1.0 1.1 1.2 1.3 1.4 1.5 Jason Summers' jslife pattern collection. Retrieved on December 2, 2010.
  2. 2.0 2.1 2.2 Robert Wainwright (March 1971). Lifeline, vol 1, page 6.
  3. Elithrion (February 15, 2009). Ship maker (discussion thread) at the ConwayLife.com forums
  4. 4.0 4.1 Robert Wainwright (September 1971). Lifeline, vol 3, page 20.

External links