ߖTORU SUBTORU HLP TOR4 HLP YTOR5 HLP'TORX4 HLPDճNULL HLP]3TOR4 COM^ &TORX4 COM~ TOR5 COM`[,TOR4 LQFr~TOR4 DQTNTORX4 LIF2TORX4 DAT:(TOR5 LQFV&OTOR5 DQT|bREC COM.lILIFE CNVLIFE REC*0CNVSM REC8CNVLIB REC?1TORU1 HQPpNcLIFBIB HLPTOR4 AQMTORX4 AQM$TOR5 AQM19LU -o TORU.LBR 27 -a TORU.SUB TORU.HLP TOR4.HLP TOR5.HLP TORX4.HLP NULL.HLP TOR4.COM TORX4.COM TOR5.COM TOR4.LQF TOR4.DQT TORX4.LIF TORX4.DAT TOR5.LQF TOR5.DQT REC.COM LIFE.CNV LIFE.REC CNVSM.REC CNVLIB.REC TORU1.HQP LIFBIB.HLP TOR4.AQM TORX4.AQM TOR5.AQM -l -x introduction life.cnv - listing tor4 - 4x4 torus tor5 - 5x5 torus torx4 - twisted 4x4 torus bibliography :: (TORU)TORU1.HQP :: (TORU)LIFE.CNV :: (TORU)TOR4.HLP :: (TORU)TOR5.HLP :: (TORU)TORX4.HLP :: (TORU)LIFBIB.HLP :[end] [Harold V. McIntosh, 2 August 1985] introduction instructions tor4.lif tor4.asm tor4.com tor4.dat resume :Introduction TOR4.LIF is a protocol for executing life on a 4x4 torus. If we think of a grid 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 it may be folded up into a torus by connecting the top edge to the bottom edge, and the left margin to the right margin. With this arrangement, every cell has the full set of eight neighbors which it needs for LIFE. The only problem is that space is quite limited, and every pattern will be quite crowded if it tries to expand. Just because space is so limited, there are only 65,536 initial configurations possible. Since there are so few, there is a good chance to follow their evolution in detail. Torus LIFE has applications to regular LIFE, because a torus is just the same as an infinitely repeating periodic pattern whose basic cell is the one sketched above. To study all of the LIFE patterns on a 4x4 torus is the same as studying all the patterns with period 4 in each direction. - This idea can be grasped a little more clearly if we repeat the basic pattern three times vertically and horizontally: 1 2 3 4 1 2 3 4 1 2 3 4 5 6 7 8 5 6 7 8 5 6 7 8 9 10 11 12 9 10 11 12 9 10 11 12 13 14 15 16 13 14 15 16 13 14 15 16 1 2 3 4 1 2 3 4 1 2 3 4 5 6 7 8 5 6 7 8 5 6 7 8 9 10 11 12 9 10 11 12 9 10 11 12 13 14 15 16 13 14 15 16 13 14 15 16 1 2 3 4 1 2 3 4 1 2 3 4 5 6 7 8 5 6 7 8 5 6 7 8 9 10 11 12 9 10 11 12 9 10 11 12 13 14 15 16 13 14 15 16 13 14 15 16 Of course, to get regular LIFE it would have to be repeated infinitely often in both directions. - :Instructions. If you select the menu option "tor4.com" that program will be loaded and executed. There may be a few intervals in which it does not produce any output, but will complete its running in about five minutes (5MHz Intel 8085). Since its results are also placed in a file TOR4.DAT, you must execute HJELP (TORU) using a disk which is not write-protected, and which has at least 10K space free, if you intend to view the operation of TOR4.COM. The following options are available: = to see which state is executing S to close TOR4.DAT and save memory in RTOR4.DAT ^C to close TOR4.DAT and exit from TOR4.COM - The option = can be used to check progress when the program is not producing any output. If S is used, you can restart the program (but not from HJELP) by executing RTOR4.COM. Before doing so it is advisable to rename TOR4.DAT if you wish to keep the data already accumulated. When called from HJELP, both S and ^C return to HJELP's menu presentation, which is also the case after normal termination. :: (TORU)TOR4.LQF : (TORU)TOR4.AQM - is too big for HJELP's buffer :: P=(TORU)TOR4.COM (TORU)NULL.HLP :: (TORU)TOR4.DQT :Resume: On the 4x4 torus there are 1 entirely zero field 5 still lifes 8 period 2 cycles 0 3-cycles 1 4-cycle 0 5-cycles 0 6-cycles 0 7-cycles 2 8-cycles :[end] [Harold V. McIntosh, 5 August 1985] introduction instructions tor5.lif tor5.asm tor5.com tor5.dat resume :Introduction. TOR5.LIF is a protocol for executing life on a 5x5 torus. If we think of a grid 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 it may be folded up into a torus by connecting the top edge to the bottom edge, and the left margin to the right margin. This done, every cell has the full set of eight neighbors which it needs for LIFE. Space is quite limited, so every pattern will be quite crowded if it tries to expand. Since there are only (!)only 2**25 (> 20,000,000) initial configurations possible, it is just barely possible to analyze them all with some tens of hours of running time. Torus LIFE has applications to regular LIFE, because a torus is just the same as an infinitely repeating periodic pattern whose basic cell is the one sketched above. To study all of the LIFE patterns on a 5x5 torus is the same as studying all the patterns with period 5 in each direction. - This idea can be grasped a little more clearly if we repeat the basic pattern three times vertically and horizontally: 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 6 7 8 9 10 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 11 12 13 14 15 16 17 18 19 20 16 17 18 19 20 16 17 18 19 20 21 22 23 24 25 21 22 23 24 25 21 22 23 24 25 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 6 7 8 9 10 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 11 12 13 14 15 16 17 18 19 20 16 17 18 19 20 16 17 18 19 20 21 22 23 24 25 21 22 23 24 25 21 22 23 24 25 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 6 7 8 9 10 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 11 12 13 14 15 16 17 18 19 20 16 17 18 19 20 16 17 18 19 20 21 22 23 24 25 21 22 23 24 25 21 22 23 24 25 Of course, to get regular LIFE it would have to be repeated indefinitely often in all directions. - :Instructions. If you execute the program TOR5.COM,, there will be long stretches of time during which it does not produce any output, and it will require about forty hours of running time altogether (5MHz Intel 8085). Since its results are also placed in a file TOR5.DAT, you must execute HJELP (TORU) using a disk which is not write-protected, and which has at least 10K space free. Because of its size and long running time, its execution is not provided for in this HELP file. The following options are available: = to see which state is executing S to close TOR5.DAT and save memory in RTOR5.DAT ^C to close TOR5.DAT and exit from TOR5.COM - The option = can be used to check progress when the program is not producing any output. If S is used, you can restart the program (but not from HJELP) by executing RTOR5.COM. Before doing so it is advisable to rename TOR5.DAT if you wish to keep the data already accumulated. Because it is somewhat too large to fit into Hjelp's present buffer, TOR5.COM cannot be executed from HJELP. :: (TORU)TOR5.LQF : (TORU)TOR5.AQM - is too big for HJELP's buffer : (TORU)TOR5.COM - is to big for HJELP's buffer :: (TORU)TOR5.DQT :Resume. On the 5x5 torus there are 1 zero field 32 still lifes 13 period 2 cycles 1 3-cycle 3 4-cycles 1 5-cycle 0 6-cycles 0 7-cycles 0 8-cycles 0 9-cycles >3 10-cycles >1 20-cycles All these figures count all the symmetric images of a configuration as one single item. :[end] [Harold V. McIntosh, 5 August 1985] introduction instructions torx4.lif torx4.asm torx4.com torx4.dat resume :Introduction TORX4.LIF is a protocol for executing life on a 4x4 torus. If we think of a grid 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 it may be folded up into a torus by connecting the top edge to the bottom edge, making a cylinder. Then, the left margin can be connected to the right margin to make the torus. But we could give the cylinder a half-twist before joining the free edges, giving the cells along the joint different neighbors than they otherwise would have had. Just as for the regular torus, there are sufficiently few possible states for the torus, that all the possibilities can be studied one by one in a few minutes or tens of minutes of computer time. - LIFE on a twisted torus can give insight into regular LIFE, because such a torus is equivalent to an infinitely repeating periodic pattern. It is just necessary to take the half twist into account when laying out the periodic copies of the basic square. The idea is expressed in the following patchwork: 1 2 3 4 9 10 11 12 1 2 3 4 5 6 7 8 13 14 15 16 5 6 7 8 9 10 11 12 1 2 3 4 9 10 11 12 13 14 15 16 5 6 7 8 13 14 15 16 1 2 3 4 9 10 11 12 1 2 3 4 5 6 7 8 13 14 15 16 5 6 7 8 9 10 11 12 1 2 3 4 9 10 11 12 13 14 15 16 5 6 7 8 13 14 15 16 1 2 3 4 9 10 11 12 1 2 3 4 5 6 7 8 13 14 15 16 5 6 7 8 9 10 11 12 1 2 3 4 9 10 11 12 13 14 15 16 5 6 7 8 13 14 15 16 Of course, to get regular LIFE it would have to be continued infinitely in both directions. - :Instructions. If you select the menu option "torx4.com" that program will be loaded and executed. There may be a few intervals in which it does not produce any output, but will complete its running in about five minutes (5MHz Intel 8085). Since its results are also placed in a file TORX4.DAT, you must execute HJELP (TORU) using a disk which is not write-protected, and which has at least 10K space free, if you intend to view the operation of TORX4.COM. The following options are available: = to see which state is executing S to close TORX4.DAT and save memory in RTORX4.DAT ^C to close TORX4.DAT and exit from TORX4.COM - The option = can be used to check progress when the program is not producing any output. If S is used, you can restart the program (but not from HJELP) by executing RTORX4.COM. Before doing so it is advisable to rename TORX4.DAT if you wish to keep the data already accumulated. When called from HJELP, both S and ^C return to HJELP's menu presentation, which is also the case after normal termination. :: (TORU)TORX4.LIF : (TORU)TORX4.AQM - is too big for HJELP's buffer :: P=(TORU)TORX4.COM (TORU)NULL.HLP :: (TORU)TORX4.DAT :Resume. On the 4x4 twisted torus there are 1 entirely zero field 5 still lifes 4 period 2 cycles 0 3-cycles 1 4-cycle 0 5-cycles 0 6-cycles 0 7-cycles 1 8-cycles :[end] [Harold V. 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ϒ9&U<3wdf*{3w)K>TwyϾKÇg12{KódI3.]*Ǥ.]ʒ)YnP^ ܼBg3@<,Y^EbRef=. %Ǥ{]>dIճ]T2{*{3w)K>TwyϾKÇg12{s/cR}g.Ǥ.]ʒ)&UfbR+&UfbR+&iniByY)&Uf.3wŤ}{ﻼg=Tg噹+&UϞ<{b}WL1Ťs3s{.سbsWLw{]޳s head: one state evolves on a twisted torus [TORX4.LIF, 4 August 1985] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 for: a1=0,1 a2=0,1 a3=0,1 a4=0,1 a5=0,1 a6=0,1 a7=0,1 a8=0,1 a9=0,1 a10=0,1 a11=0,1 a12=0,1 a13=0,1 a14=0,1 a15=0,1 a16=0,1 cells: b1=a1(a12,a8,a13,a14,a2,a6,a5,a16) b2=a2(a1,a13,a14,a15,a3,a7,a6,a5) b3=a3(a2,a14,a15,a16,a4,a8,a7,a6) b4=a4(a3,a15,a16,a5,a9,a13,a8,a7) b5=a5(a16,a12,a1,a2,a6,a10,a9,a4) b6=a6(a5,a1,a2,a3,a7,a11,a10,a9) b7=a7(a6,a2,a3,a4,a8,a12,a11,a10) b8=a8(a7,a3,a4,a9,a13,a1,a12,a11) b9=a9(a4,a16,a5,a6,a10,a14,a13,a8) b10=a10(a9,a5,a6,a7,a11,a15,a14,a13) b11=a11(a10,a6,a7,a8,a12,a16,a15,a14) b12=a12(a11,a7,a8,a13,a1,a5,a16,a15) b13=a13(a8,a14,a9,a10,a14,a2,a1,a4) b13=a13(a8,a4,a9,a10,a14,a2,a1,a12) b14=a14(a13,a9,a10,a11,a15,a3,a2,a1) b15=a15(a14,a10,a11,a12,a16,a4,a3,a2) b16=a16(a15,a11,a12,a1,a5,a9,a4,a3) count: q1(a1) end:  Second generation is equal to first: . . . . . . . . . . . . . . . . Third generation is equal to first: . . . . . . 1 . . . 2 . . . . . . . . . . . . . . . . . . . 1 . . . 2 . . 1 1 1 . . 1 . . 1 3 1 Third generation is equal to first: . . . . 1 . . . 2 . . . . . . . . . . . . . . . . . . 1 . . 1 . . . 2 1 . 1 . 1 . . 1 . . 1 2 1 Second generation is equal to first: . . . . . . . . . . 1 1 . . 1 1 Third generation is image of first: . . . . 1 . . . . . 1 1 . . . . . . . 1 1 1 . . . . 1 1 . 1 1 1 . . . . 1 1 . . 1 1 1 . . . . . Fifth generation is equal to first: . . . . 1 . . . . . 1 1 . 1 1 1 . . . . . . . 1 1 1 . . 1 1 1 . . . 1 1 . 1 1 1 . . . . 1 . . . 1 1 . . 1 1 1 . . . . . . . . 1 Second generation is equal to first: . . . . . . 1 . . 1 . 1 . . 1 . Third generation is image of first: . . . . . 1 1 . 1 1 1 1 . . 1 1 1 . . . 1 1 . . 1 1 1 1 . . . . . . . . 1 1 . . . . . 1 . . 1 1 Second generation is equal to first: . . . . 1 1 1 1 . . . . 1 1 1 1 Second generation is image of first: . . . 1 1 . . 1 2 . . 3 . . . 1 1 . . 1 2 . . 3 . . 1 1 1 . . . 2 . 1 1 . . 1 1 1 . . . 2 . 1 1 Third generation is image of first: . . . 1 1 . . 1 1 1 . . . . . 1 1 . . 1 1 1 . . . . 1 1 1 . . . . 1 . . . . 1 1 1 . . . . 1 . . Fourth generation is image of first: . . . 1 1 . . 1 1 1 . . . . 1 . . . . 1 1 . . 1 1 1 . . . . 1 . . . 1 1 1 . . . . 1 . . . 1 1 . . . 1 1 1 . . . . 1 . . . 1 1 . Fifth generation is image of first: . . . 1 1 . . 1 1 1 . . . . 1 . . . . 1 1 . . 1 1 1 . . . . 1 . . . 1 1 1 . . . . 1 . . . 1 1 . . . 1 1 1 . . . . 1 . . . 1 1 . Ninth generation is equal to first: . . . 1 1 . . 1 1 1 . . . . 1 . . . 1 1 1 . . . . 1 . . . 1 1 . . . . 1 1 . . 1 1 1 . . . . 1 . . . 1 1 1 . . . . 1 . . . 1 1 . . . 1 1 1 . . . . 1 . . . 1 1 . . . . 1 1 . . 1 1 1 . . . . 1 . . . 1 1 1 . . . . 1 . . . 1 1 . . . . 1 1 . . 1 1 1 . . . . 1 . Second generation is image of first: . . 1 1 1 1 . . 2 2 1 1 . . 1 1 1 1 . . 2 2 1 1 . . 1 1 1 1 . . 2 2 1 1 . . 1 1 1 1 . . 2 2 1 1 Third generation is equal to first: . . 1 1 1 1 . . 2 2 1 1 . . 1 1 1 1 . . 2 2 1 1 . . 1 1 1 1 . . 2 2 1 1 . . 1 1 1 1 . . 2 2 1 1 Second generation is image of first: . . 1 1 1 . . 1 2 . 1 3 . 1 1 . 1 1 . . 2 3 1 . . . 1 1 1 . . 1 2 . 1 3 . 1 1 . 1 1 . . 2 3 1 . Third generation is equal to first: . . 1 1 1 . . 1 2 . 1 3 . 1 1 . 1 1 . . 2 3 1 . . . 1 1 1 . . 1 2 . 1 3 . 1 1 . 1 1 . . 2 3 1 . Second generation is equal to first: . . 1 1 1 1 . . . . 1 1 1 1 . . 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McIntosh, 20 May 1984] [[compile a LIFE analysis]] [options] (()()(0)( ((PWS,a: )(or),); (head:<0>,(WHILE,(1),<0>,<< >>(and,<1>,(NOT,for:)),(w,;<1>(^MJ)),(R))): (for:<0>,(WHILE,(1),<0>,<< >>(and,<1>,(NOT,cells:)),(b,<1>),(R))): (cells:<0>,(WHILE,(1),<0>,<< >>(and,<1>,(NOT,count:)),(c,<1>),(R))): (count:<0>,(WHILE,(1),<0>,<< >>(and,<1>,(NOT,end:)),(d,<1>),(R))): (end:,(e)); (<>,(R)): ((^Z),); )) a [loops] (()()(0 1)( ((PWS,b: )(or),); (<:Z:><0>=0<,>1,(L)(if,(K),<1>,(w,(A)))); (<:Z:><0>=0,(L)(w,(B))); (<:Z:><0>=1,(L)(w,(C))); )) b [cells] (()()(0 1 2)( ((PWS,c: )(or),); (<:Z:><0>=<1><(><2><)>,<< >>(L)<< >>(w,(D))<< >>(WHILE,(3 4),<2><,>,<< >>(PWS,...)<3><,><4>,<< >>(w,(E)),<< >><4>,<< >>(w,(F)))); )) c [count] (()()(0 1)( ((PWS,d: )(or),); (<:Z:><0><(><1><)>,<< >>(w,(^I)lxi(^I)h<,><0>(^MJ))<< >>(IF,(6),(WHILE,(3 4 5),4:<1><,>,<< >>(PWS,---)<3>:<4><,><5>,<< >>(IF,(2),(K),<2>,(w,(G))),<< >>(#*,<3>*2):<5>):,<6>:,<< >>(M)(w,(H)))); )) d [finish up] (()()()( (,(w,(I))<< >>(WHILE,(0),(%R,MEM:CELL),<< >>(and,(NOT,(^Z)),<0>),<< >>(w,<0>(^MJ)),<< >>(%R,MEM:CELL),<< >>(w,(^MJ)(^I)end(^MJ))<< >>)); )) e [write in .ASM file] (()()(0)( (<0>,(%W,<9>.ASM,<0>)); )) w [main] (( ((ITR,(or, ,(^I)))) Z )( [0/1] (<< >> mvi a<,>0 sta <0> call x<1> mvi a<,>1 sta <0> x<1>:) A [0] (<< >> mvi a<,>0 sta <0> ) B [1] (<< >> mvi a<,>1 sta <0> ) C [xra] (<< >> xra a ) D [add] (<< >> lxi h<,><3> add m ) E [val] (<< >> lxi d<,><1> lxi h<,><0> call valu ) F [cnt] (<< >> lda <4> ora a jz x<2> lxi d<,><3> dad d x<2>:) G [inc] (<< >> inr m rnz inx h inr m rnz inx h inr m rnz inx h inr m ret ) H [val] (<< >>valu: mvi m<,>0 mov b<,>a ldax d ora a mov a<,>b jz valv cpi 2 jz valw valv: cpi 3 rnz valw: inr m ret tyst: adi 30H cona: push h push d push b mvi c,2 mov e,a call 0005 pop b pop d pop h ret ) I ((%R,CTR:X)) K ((%W,MEM:CELL,<0>:(^I)db(^I)00(^MJ))) L ((%W,MEM:CELL,<0>:(^I)ds(^I)<6>(^MJ))) M ((%R,<9>.LIF)) R )(9)( ((PWS)(or),); (<9>(or, ,.,<>),<< >>(%Or,CTR:X)<< >>(%Ow,MEM:CELL,5000)<< >>(%Or,<9>.LIF)<< >>(%Ow,<9>.ASM)<< >>(w,(^MJ)(^I)org(^I)0100H(^MJ)(^MJ))<< >>(w,(^I)call(^I)life(^MJ))<< >>(w,(^I)jmp(^I)0000(^MJ)(^MJ))<< >>(w,life:)<< >>(a,(R))<< >>(%E)); )) [end]  [LIFE.REC] [Harold V. McIntosh, 20 May 1984] [[]] { [options] {(''0 x););(0x( ( @;(Jj2573TL'a: 'TLZqtj()JZD;); @;(Jj'head:'Ez0x]JZDz<0x[1x( {(''1 x););((@;Jj [and] Z<(1x] jJ><[not] (Z< 'for:'EzJ>)J>[not] Zz;>)> [and] JZDz<';'I1x[13%I10%I@wZ>Z>z:;)Z>@;;)}1x:;): @;(Jj'for:'Ez0x]JZDz<0x[1x( {(''1 x););((@;Jj [and] Z<(1x] jJ><[not] (Z< 'cells:'EzJ>)J>[not] Zz;>)> [and] JZDz<1x[@bZ>Z>z:;)Z>@;;)}1x:;): @;(Jj'cells:'Ez0x]JZDz<0x[1x( {(''1 x););((@;Jj [and] Z<(1x] jJ><[not] (Z< 'count:'EzJ>)J>[not] Zz;>)> [and] JZDz<1x[@cZ>Z>z:;)Z>@;;)}1x:;): @;(Jj'count:'Ez0x]JZDz<0x[1x( {(''1 x););((@;Jj [and] Z<(1x] jJ><[not] (Z< 'end:'EzJ>)J>[not] Zz;>)> [and] JZDz<1x[@dZ>Z>z:;)Z>@;;)}1x:;): @;(Jj'end:'EzJZDz<@eZ>;); @;(Jj(A)JZDz<@RZ>;): @;(Jj26%EzJZD;); ;)@;1x:;)} a [loops] {(''0 1 x););(0x( 1x( ( @;(Jj2573TL'b: 'TLZqtj()JZD;); @;(Jj@Z {[vbl] ('=0,1'Ez;) # ('=0'0x>;)}[vbl] JZDz<@LZ>z (Jj1x]JZDz@wZ>;;)Z>;); @;(Jj@Z {[vbl] ('=0'Ez;) # ('=0'0x>;)}[vbl] JZDz<@LZ>z@wZ>;); @;(Jj@Z {[vbl] ('=1'Ez;) # ('=1'0x>;)}[vbl] JZDz<@LZ>z@wZ>;); ;)@;2x:;)} b [cells] {(''0 1 2 x););(0x( 1x( 2x( ( @;(Jj2573TL'c: 'TLZqtj()JZD;); @;(Jj@Z {[vbl] ('='Ez {[vbl] ('('Ez {[vbl] (')'Ez;) # (2x<;)}[vbl] ;) # (1x<;)}[vbl] ;) # ('='0x>;)}[vbl] JZDz<@LZ>z@wZ>z<2x[','I3x( 4x( {(''3 4 x););((@;Jj2573TL'...'TLZqtj {[vbl] (','Ez4x];) # (3x<;)}[vbl] JZDz@wZ>Z>z<4x[:JZDz@wZ>;)Z>@;;)}2x:;); ;)@;3x:;)} c [count] {(''0 1 x););(0x( 1x( ( @;(Jj2573TL'd: 'TLZqtj()JZD;); @;(Jj@Z {[vbl] ('('Ez {[vbl] (')'Ez;) # (1x<;)}[vbl] ;) # (0x<;)}[vbl] JZDz<9%I'lxi'I9%I'h,'I0x[13%I10%I@wZ>z;)}[vbl] JZDz2x( {(''2 x););((@;Jj2x]JZDz@wZ>;;)Z>@;;)}1x:Z>z':'I5x[:;)Z>@;;)}3x:':'I6x( {(''6 x););((@;Jj {[vbl] (':'Ez;) # (':'6x>;)}[vbl] JZDz<@MZ>z@wZ>;;)Z>@;;)}1x:;); ;)@;2x:;)} d [finish up] {( (JjJZDz@wZ>z<{(Jjx|;) ~ (z<'MEM:CELL'IxRA;;)}x~Z>0x( {(''0 x););((@;Jj [and] Z<([not] (Z< 26%EzJ>)J>[not] Zz jJ><0x](A);>)> [and] JZDz<0x[13%I10%I@wZ>Z>z<{(Jjx|;) ~ (z<'MEM:CELL'IxRA;;)}x~Z>:JZDz<13%I10%I9%I'end'I13%I10%I@wZ>;)Z>@;;)}1x:;); ;)} e [write in .ASM file] {(''0 x););(0x( ( @;(Jj0x]JZDz<9x['.ASM,'I0x[xWZ>;); ;)@;1x:;)} w [main] { (([ITR] Z< [or] Z<(' 'Ez; J9%Ez;>)> [or] >:J>;)[ITR] ;) Z [0/1] (JZD' mvi a,0 sta 'I0x[' call x'I1x[' mvi a,1 sta 'I0x[' x'I1x[':'I;) A [0] (JZD' mvi a,0 sta 'I0x[' 'I;) B [1] (JZD' mvi a,1 sta 'I0x[' 'I;) C [xra] (JZD' xra a 'I;) D [add] (JZD' lxi h,'I3x[' add m 'I;) E [val] (JZD' lxi d,'I1x[' lxi h,'I0x[' call valu 'I;) F [cnt] (JZD' lda 'I4x[' ora a jz x'I2x[' lxi d,'I3x[' dad d x'I2x[':'I;) G [inc] (JZD' inr m rnz inx h inr m rnz inx h inr m rnz inx h inr m ret 'I;) H [val] (JZD'valu: mvi m,0 mov b,a ldax d ora a mov a,b jz valv cpi 2 jz valw valv: cpi 3 rnz valw: inr m ret tyst: adi 30H cona: push h push d push b mvi c,2 mov e,a call 0005 pop b pop d pop h ret 'I;) I (JZDz<'CTR:X'IxRZ>;) K (JZDz<'MEM:CELL,'I0x[':'I9%I'db'I9%I'00'I13%I10%IxWZ>;) L (JZDz<'MEM:CELL,'I0x[':'I9%I'ds'I9%I6x[13%I10%IxWZ>;) M (JZD{(Jjx|;) ~ (z<9x['.LIF'IxRA;;)}x~Z>;) R (''9 x););(9x( ( @;(Jj2573TLZqtj()JZD;); @;(Jj {[vbl] ( [or] Z<(' 'Ez; J'.'Ez; J(A);>)> [or] ;) # (9x<;)}[vbl] JZDz<'CTR:X'I'r'xOZ>z<'MEM:CELL,5000'I'w'xOZ>z<9x['.LIF'I'r'xOZ>z<9x['.ASM'I'w'xOZ>z<13%I10%I9%I'org'I9%I'0100H'I13%I10%I13%I10%I@wZ>z<9%I'call'I9%I'life'I13%I10%I@wZ>z<9%I'jmp'I9%I'0000'I13%I10%I13%I10%I@wZ>z<'life:'I@wZ>z@aZ>z;); ;)@;1x:;)} ~ {((Jj':'UQD':'ED\64-%;0%;) ('.'U<(8a;xb;)Q|D>;Z'.'IJj:) '.'FJD(3a;xb;)Q|JZDI;) u (255='Not Found'I;) v (Zz(d' 'I:;)JZ;) b (w0%(f:;)w;) - (cmpx-n;) 0 (128,26k;) 5 (x+'compile a LIFE analysis'TL;) Q ((B13%ED;;)J(10%FD:;)Z;) ~ (13%Fz;26%F((2b);J6666EA;zBj;)z;) | (|0|0|0|pLpGnpG6-mSpG8+n&S;) 3 (x00x3;) ` (mx0n&mx0nx3;) z (30$r128eqL26k20K0=L;DLL) y (('L/'FDZ<(' 'FjJ;;)QD> ((B;;)' 'ED;;);'';)mZ 188@0pG66-,127$Sx! 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Elwyn Berelkamp, John Conway, and Richard Guy Winning Ways, volume 2 Academic Press New York, 1982 ISBN 0-12-091102-7 Chapter 26, "What is Life?," is very concise but outlines the essence of LIFE, particular with its sketch of how to construct a universal cellular automaton. David J. Buckingham Some Facts of Life Byte December, 1978 A readable summary of LIFE, with samples of several interesting configurations. The same issue of Byte magazine has other articles also dealing with LIFE. - Martin Gardner Mathematical Games Scientific American 223 no. 4 pp. 120-123 (October 1970) 223 no. 5 p. 118 (November 1970) 223 no. 6 p. 114 (December 1970) 224 no. 1 p. 108 (January 1971) 224 no. 2 pp. 112-117 (February 1971) 224 no. 3 pp. 108-109 (March 1971) 224 no. 4 pp. 116-117 (April 1971) 225 no. 5 pp. 120-121 (November 1971) 226 no. 1 p. 107 (January 1972) 233 no. 6 (December 1975) The series of articles through most people gained their awareness of LIFE and a chronicle of some of the advances in understanding it. Martin Gardner A series of columns in Scientific American, reprinted in Wheels, Life, and Other Mathematical Amusements Freeman, 1983 - Brian Hayes Computer Recreations (The cellular automaton offers a model of the world and a world unto itself) Scientific American March 1984, pages 10-16 A recent account of cellular automaton research. William Poundstone The Recursive Universe William Morrow and Company, Inc. New York, 1985 ISBN 0-688-03975-8 An interesting book, whose chapters alternate between a progressive factual account of LIFE, and some philosophical speculations about the nature of things. - Kendall Preston, Jr. and Michael J. B. Duff Modern Cellular Automata Plenum Press New York, 1984 ISBN 0-306-451737-5 An account of work on cellular automata and image processng techniques whose chapter 12, "Patterns of Growth," is devoted to Conway's LIFE plus a couple of other variants. Stephen Wolfram Statistical Mechanics of Cellular Automata Reviews of Modern Physics 55 604-644 (1983) A very technical analysis of possible transition rules in cellular automata of one dimension. Stephen Wolfram, J. 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