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.

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.
fuse periodicity initial namesake eventual equilibrium discovery info
raw diagonal trans = 0
cycle = 1
period = 1
RAWDGL.PNG
keeps on losing southwest end cell until all cells are lost none
hivemaker trans = 14
cycle = 4
period = 4
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 15 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
MKRHIV.PNG
none
baker trans = 7
cycle = 2
period = 4
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 15 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
MKRBKR.PNG
Keith McClelland
beacon maker trans = 16
cycle = 4
period = 8
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 15 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
MKRBCN.PNG
Steve Tower[1], Lifeline Volume 1[2]
boat maker trans = 5
cycle = 2
period = 4
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 15 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
MKRBOA.PNG
Lifeline Volume 1[2]
harvester trans = 5
cycle = 4
period = 4
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 15 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
MKRVST.PNG
David Poyner, February 1971 Scientific American column[2]
ship maker 4
x = 64, y = 63, rule = B3/S23 62b2o$61bobo$60bo$59bo$58bo$57bo$56bo$55bo$54bo$53bo$52bo$51bo$50bo$49b o$48bo$47bo$46bo$45bo$44bo$43bo$42bo$41bo$40bo$39bo$38bo$37bo$36bo$35b o$34bo$33bo$32bo$31bo$30bo$29bo$28bo$27bo$26bo$25bo$24bo$23bo$22bo$21b o$20bo$19bo$18bo$17bo$16bo$15bo$14bo$13bo$12bo$11bo$10bo$9bo$8bo$7bo$ 6bo$6o$5bo$5bo$5bo$5bo$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 4 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Shipmakerequilib.png
none
Dual fuse trans = 7
cycle = 2
period = 4
DUALIN.PNG
DUALEQ.PNG
none
Tubs eating Phoenix trans = 0
cycle = 2
period = 2
PHXTUB.PNG
loses a domino, lengthens barge, all at uniform width none
Cow 8
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 8 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
burns west-to-east, leaves a block to the east when done Don Woods, Lifeline Volume 3[3]
lightspeed wire trans = 0
cycle = 4
period = 4
CWIRE.GIF
the glitch moves off to the right along a protected rail none
Beehive fuse[4] 128
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 2 ZOOM 7.5 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
burns at 3c/32 until the house runs out of beehives

Reverse fuse

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

As suggested by Bill Woods on Lifeline,[3] 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. 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. 3.0 3.1 Robert Wainwright (September 1971). Lifeline, vol 3, page 20.
  4. Jason Summers' jslife pattern collection. Retrieved on December 2, 2010.

External links