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LIFE LEXICON Release 20, 2002 Feb 8 ASCII versionINTRODUCTION This is a lexicon of terms relating to John Horton Conway'sGame of Life. It is also available in single-page and multipageHTML versions. This lexicon was compiled by Stephen A. Silver - seebelow for additional credits. I can be contacted atlife@argentum.freeserve.co.uk. The lastest versions of this lexicon (both HTML and ASCII)should always be available from the Life Lexicon Home Page athttp://www.argentum.freeserve.co.uk/lex_home.htm.CREDITS The largest single source for the early versions of this lexicon wasa glossary compiled by Alan Hensel "with indispensable help from JohnConway, Dean Hickerson, David Bell, Bill Gosper, Bob Wainwright, NoamElkies, Nathan Thompson, Harold McIntosh, and Dan Hoey". Other sources include the works listed in the bibliography at theend of this lexicon, as well as pattern collections by Alan Hensel andDavid Bell (and especially Dean Hickerson's file stamp.l in the lattercollection), and the web sites of Mark Niemiec, Paul Callahan, AchimFlammenkamp, Robert Wainwright and Heinrich Koenig. Recent releasesalso use a lot of information from Dean Hickerson's header to his1995 stamp file (http://math.ucdavis.edu/~dean/RLE/stamps.html). Most of the information on recent results is from the discoverersthemselves. David Bell, Nick Gotts, Alan Hensel, Dean Hickerson, Dieter Leithner,Peter Rott and Malcolm Tyrrell all provided useful comments on earlierreleases of this lexicon. The format, errors, use of British English and anything else youmight want to complain about are by Stephen Silver.COPYING This lexicon is copyright (C) Stephen Silver, 1997-2002. It may befreely copied and/or modified as long as due credit is given. Thisincludes not just credit to those who have contributed in some way tothe present version (see above), but also credit to those who have madeany modifications.LEXICOGRAPHIC ORDER I have adopted the following convention: all characters (includingspaces) other than letters and digits are ignored for the purposes ofordering the entries in this lexicon. (Many terms are used by somepeople as a single word, with or without a hyphen, and by others as twowords. My convention means that I do not have to list these in twoseparate places. Indeed, I list them only once, choosing whicheverform seems most common or sensible.) Digits lexicographically precedeletters.FORMAT The format used in the ASCII version of this lexicon is looselybased on that of the Jargon File. In particular, the keywords areenclosed in colons and selected references to them are enclosed incurly brackets. The curly brackets will not be of much use unlessyou have a programmable text editor, in which case you could programit to jump from a reference to the corresponding definition when youhit a certain key. (The file lifelex.el, which you should havereceived with this lexicon, provides such a facility for GNU Emacs.)If you don't want the curly brackets you can safely remove them withtwo find and replace operations, since they are not used for any otherpurpose in this file. The colons are more generally useful. Forexample, a search for ":foo" will take you straight to the definitionof the first word beginning with "foo" (or at least it would if therewere any). The diagrams in this lexicon are in a very standard format. Youshould be able to simply copy a pattern, paste it into a new file andrun it in your favourite Life program. If you use Johan Bontes' Life32or Mirek Wojtowicz' MCell then you can, of course, paste the patterndirectly into the Life program. If you view this lexicon in GNU Emacsand use lifelex.el then you should be able to load a pattern intoyour Life program with a single keypress, without needing to copy orpaste. The diagrams use an asterisk to represent a live cell. If this looksugly with the font you use then you can change to O or o with a globalreplace. I have restricted myself to diagrams of size 64x64 or less. Most definitions that have a diagram have also some data in bracketsafter the keyword. Oscillators are maked as pn (where n is a positiveinteger), meaning that the period is n (p1 indicates a still life).Wicks are marked in the same way but with the word "wick" added. Forspaceships the speed (as a fraction of c, the speed of light), thedirection and the period are given. Fuses are marked with speed andperiod and have the word "fuse" added. Wicks and fuses are infinite inextent and so have necessarily been truncated, with the ends stabilizedwherever practical.SCOPE This lexicon covers only Conway's Life, and provides no informationabout other cellular automata. David Bell has written articles ontwo other interesting cellular automata: HighLife (which is similarto Life, but has a tiny replicator) and Day & Night (which is verydifferent, but exhibits many of the same phenomena). These articlescan be found on his web-site (http://www.canb.auug.org.au/~dbell/).ERRORS AND OMISSIONS If you find any errors (including typos) or serious omissions, thenplease let me know.NAMES When deciding whether to use full or abbreviated forms of forenamesI have tried, wherever possible, to follow the usage of the personconcerned.QUOTE Every other author may aspire to praise; the lexicographer can onlyhope to escape reproach. -- Samuel Johnson, 1775DEDICATION This lexicon is dedicated to the memory of Dieter Leithner, who diedon 26 February 1999.-----------------------------------------------------------------------:101: (p5) Found by Achim Flammenkamp in August 1994. The name was suggested by Bill Gosper, noting that the phase shown below displays the period in binary. ....**......**.... ...*.*......*.*... ...*..........*... **.*..........*.** **.*.*..**..*.*.** ...*.*.*..*.*.*... ...*.*.*..*.*.*... **.*.*..**..*.*.** **.*..........*.** ...*..........*... ...*.*......*.*... ....**......**....:1-2-3: (p3) Found by Dave Buckingham, August 1972. This is one of only three essentially different p3 {oscillator}s with only three cells in the {rotor}. The others are {stillater} and {cuphook}. ..**...... *..*...... **.*.**... .*.*..*... .*....*.** ..***.*.** .....*.... ....*..... ....**....:1-2-3-4: (p4) See also {Achim's p4}. .....*..... ....*.*.... ...*.*.*... ...*...*... **.*.*.*.** *.*.....*.* ...*****... ........... .....*..... ....*.*.... .....*.....:14-ner: = {fourteener}:2 eaters: = {two eaters}:4-8-12 diamond: The following {pure glider generator}. ....****.... ............ ..********.. ............ ************ ............ ..********.. ............ ....****....:4 boats: (p2) ...*.... ..*.*... .*.**... *.*..**. .**..*.* ...**.*. ...*.*.. ....*...:4F: = {Fast Forward Force Field}:Achim's p144: (p144) This was found (minus the blocks shown below) on a cylinder of width 22 by Achim Flammenkamp in July 1994. Dean Hickerson reduced it to a finite form using {figure-8}s the same day. The neater finite form shown here - replacing the figure-8s with blocks - was found by David Bell in August 1994. See {factory} for a use of this oscillator. **........................** **........................** ..................**........ .................*..*....... ..................**........ ..............*............. .............*.*............ ............*...*........... ............*..*............ ............................ ............*..*............ ...........*...*............ ............*.*............. .............*.............. ........**.................. .......*..*................. ........**.................. **........................** **........................**:Achim's p16: (p16) Found by Achim Flammenkamp, July 1994. .......**.... .......*.*... ..*....*.**.. .**.....*.... *..*......... ***.......... ............. ..........*** .........*..* ....*.....**. ..**.*....*.. ...*.*....... ....**.......:Achim's p4: (p4) Dave Buckingham found this in a less compact form (using two halves of {sombreros}) in 1976. The form shown here was found by Achim Flammenkamp in 1988. The {rotor} is two copies of the rotor of {1-2-3-4}, so the oscillator is sometimes called the "dual 1-2-3-4". ..**...**.. .*..*.*..*. .*.**.**.*. **.......** ..*.*.*.*.. **.......** .*.**.**.*. .*..*.*..*. ..**...**..:Achim's p5: = {pseudo-barberpole}:Achim's p8: (p8) Found by Achim Flammenkamp, July 1994. .**...... *........ .*...*... .*...**.. ...*.*... ..**...*. ...*...*. ........* ......**.:acorn: (stabilizes at time 5206) A {methuselah} found by Charles Corderman. .*..... ...*... **..***:A for All: (p6) Found by Dean Hickerson in March 1993. ....**.... ...*..*... ...****... .*.*..*.*. *........* *........* .*.*..*.*. ...****... ...*..*... ....**....:agar: Any pattern covering the whole plane that is periodic in both space and time. The simplest (nonempty) agar is the {stable} one extended by the known {spacefiller}s. For some more examples see {chicken wire}, {houndstooth agar}, {onion rings}, {squaredance} and {Venetian blinds}. Tiling the plane with the pattern O......O produces another interesting example: a p6 agar which has a phase of {density} 3/4, which is the highest yet obtained for any phase of an oscillating pattern.:aircraft carrier: (p1) This is the smallest {still life} that has more than one {island}. **.. *..* ..**:airforce: (p7) Found by Dave Buckingham in 1972. The rotor consists of two copies of that used in the {burloaferimeter}. .......*...... ......*.*..... .......*...... .............. .....*****.... ....*.....*.** ...*.**...*.** ...*.*..*.*... **.*...**.*... **.*.....*.... ....*****..... .............. ......*....... .....*.*...... ......*.......:AK47 reaction: The following reaction (found by Rich Schroeppel and Dave Buckingham) in which a honey farm predecessor, catalysed by an eater and a block, reappears at another location 47 generations later, having produced a glider and a traffic light. This is the basis of a very small (but {pseudo}) p94 glider gun found by Paul Callahan in July 1994, and was in 1990 the basis for the Dean Hickerson's construction of the first {true} p94 gun. (This latter gun was enormous, and has now been superceded by comparatively small {Herschel loop} guns.) .....*.... ....*.*... ...*...*.. ...*...*.. ...*...*.. ....*.*... .....*.... .......... ..**...... ...*...... ***.....** *.......**:Al Jolson: = {Jolson}:almosymmetric: (p2) Found in 1971. ....*.... **..*.*.. *.*...... .......** .*....... *......*. **.*.*... .....*...:antlers: = {moose antlers}:ants: (p5 wick) The standard form is shown below. It is also possible for any ant to be displaced by one or two cells relative to either or both of its neighbouring ants. Dean Hickerson found {fencepost}s for both ends of this wick in October 1992 and February 1993. See {electric fence}, and also {wickstretcher}. **...**...**...**...**...**...**...**...**.. ..**...**...**...**...**...**...**...**...** ..**...**...**...**...**...**...**...**...** **...**...**...**...**...**...**...**...**..:anvil: The following {induction coil}. .****. *....* .***.* ...*.**:APPS: (c/5 orthogonally, p30) An asymmetric {PPS}. The same as the {SPPS}, but with the two halves 15 generations out of phase with one another. Found by Alan Hensel in May 1998.:ark: A pair of mutually stabilizing {switch engine}s. The archetype is {Noah's ark}.:arm: A long extension hanging off from the main body of a {spaceship} or {puffer} perpendicular to the direction of travel. A lot of known spaceships, particularly c/3 ones, have multiple arms. This is an artefact of the search methods used to find such spaceships, rather than an indication of what a "typical" spaceship might look like.:ash: The ({stable} or oscillating) debris left by a random reaction. Experiments show that for random {soup}s with moderate initial densities (say 0.25 to 0.5) the resulting ash has a density of about 0.0287. (This is, of course, based on what happens in finite fields. In infinite fields the situation may conceivably be different in the long run because of the effect of certain initially very rare objects such as {replicator}s.):aVerage: (p5) Found by Dave Buckingham, 1973. ...**........ ....***...... ..*....*..... .*.****.*.... .*.*....*..*. **.***..*.*.* .*.*....*..*. .*.****.*.... ..*....*..... ....***...... ...**........:B: = {B-heptomino}:B-52 bomber: The following p104 {double-barrelled} {glider} {gun}. It uses a {B-heptomino} and emits one glider every 52 generations. It was found by Noam Elkies in March 1996, except that Elkies used {blocker}s instead of {mold}s, the improvement being found by David Bell later the same month. .**.................................... .**.................*.................. ...................*.*............*.*.. ....................*............*..... **.......**.......................*..*. **.*.....**.......................*.*.* ...*.......................*.......*..* ...*.......................**.......**. *..*.................**.....*.......... .**..................*................. .....................***............... ....................................**. ....................................**. .**.................................... *..*................................... *.*.*................*.*....**.....**.. .*..*.................**....**.....**.* .....*............*...*...............* ..*.*............*.*..................* ..................*................*..* ....................................**.:babbling brook: Any {oscillator} whose {rotor} consists of a string of cells each of which is adjacent to exactly two other rotor cells, except for the endpoints which are adjacent to only one other rotor cell. Compare {muttering moat}. Examples include the {beacon}, the {great on-off}, the {light bulb} and the {spark coil}. The following less trivial example (by Dean Hickerson, August 1997) is the only one known with more than four cells in its rotor. It is p4 and has a 6-cell rotor. .......*........ .....***....**.. ....*...**..*... .*..*.**..*.*... *.*.*....**..**. .**..**....*.*.*
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