5%/’ qGFGEN GGENGLR’GODD’’’’G\R!!’’’’’’’’0’’’’ ’’’’’# ’’’’’g’’’’’’’’’’’’’i(’’’’’’’’’’’’’’’’’’’’ ’’’’’’’’f’’’’’’’’$%&'(( nB)'*’’’’’’’’h œ@THREEONE(h Ļ@DARWIN(-»’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’'’'Toroidal LIFE for LOTUS 1-2-3 1A’&'alt r to restart €’'by David A. Kra%’&'f9 for next generation €’' DAKRA at NYCVMIC1#’&'{PageDown} for documentation€Ąg@ €€ ’'=generation’'PREVIOUS ’-'THIS €’'STARTING POINT’'GENERATION’*'GENERATION €’'(’'-’'-’'-’'-’'-’'-’ '-’ '-’ '-’ '-’ '-’'-’')’'(’'-’'-’'-’'-’'-’'-’'-’'-’'-’'-’'-’'-’ ')’('(’)'-’*'-’+'-’,'-’-'-’.'-’/'-’0'-’1'-’2'-’3'-’4'-’5') € ’ '( ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ')’ '(!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;’ ')’( '(L’) =ꀒŸģ€€Pö€€ ö€€ 뀀 쀀 ö€€ 뀀 U:’* +ꀒŸģ€€Pꀀ쀀P 뀀 U:’+ +ꀒŸģ€€Pꀀ쀀P 뀀 U:’, +ꀒŸģ€€Pꀀ쀀P 뀀 U:’- +ꀒŸģ€€Pꀀ쀀P 뀀 U:’. +ꀒŸģ€€Pꀀ쀀P 뀀 U:’/ +ꀒŸģ€€Pꀀ쀀P 뀀 U:’0 +ꀒŸģ€€Pꀀ쀀P 뀀 U:’1 +ꀒŸģ€€Pꀀ쀀P 뀀 U:’2 +ꀒŸģ€€Pꀀ쀀P 뀀 U:’3 +ꀒŸģ€€Pꀀ쀀P 뀀 UL’4 =ꀒŸģ€€Pꀀ 뀀 ą€€ ą€€ ą€€ 뀀 U’5 ') € ’ '( ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ')’ '(!’  €€;!’  €€;!’  €€;!’ š? €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;’ ')’( '(:’) +ꀒŸģ€€Pö€’Ÿö€€P 뀀 U.’* ꀒŸģ€€P뀀 U.’+ ꀒŸģ€€P뀀 U.’, ꀒŸģ€€P뀀 U.’- ꀒŸģ€€P뀀 U.’. ꀒŸģ€€P뀀 U.’/ ꀒŸģ€€P뀀 U.’0 ꀒŸģ€€P뀀 U.’1 ꀒŸģ€€P뀀 U.’2 ꀒŸģ€€P뀀 U.’3 ꀒŸģ€€P뀀 U:’4 +ꀒŸģ€€Pą€’Ÿą€€P 뀀 U’5 ') € ’ '( ’ ’ ’  ’  ’  ’ ’ ’ ’ ’ ’ ’ ’ ')’ '(!’  €€;!’  €€;!’  €€;!’ š? €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;’ ')’( '(:’) +ꀒŸģ€€Pö€’Ÿö€€P 뀀 U.’* ꀒŸģ€€P뀀 U.’+ š?ꀒŸģ€€P뀀 U.’, š?ꀒŸģ€€P뀀 U.’- š?ꀒŸģ€€P뀀 U.’. ꀒŸģ€€P뀀 U.’/ ꀒŸģ€€P뀀 U.’0 ꀒŸģ€€P뀀 U.’1 ꀒŸģ€€P뀀 U.’2 ꀒŸģ€€P뀀 U.’3 ꀒŸģ€€P뀀 U:’4 +ꀒŸģ€€Pą€’Ÿą€€P 뀀 U’5 ') € ’ '( ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ')’ '(!’  €€;!’  €€;!’  €€;!’ š? €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;’ ')’( '(:’) +ꀒŸģ€€Pö€’Ÿö€€P 뀀 U.’* ꀒŸģ€€P뀀 U.’+ ꀒŸģ€€P뀀 U.’, ꀒŸģ€€P뀀 U.’- ꀒŸģ€€P뀀 U.’. ꀒŸģ€€P뀀 U.’/ ꀒŸģ€€P뀀 U.’0 ꀒŸģ€€P뀀 U.’1 ꀒŸģ€€P뀀 U.’2 ꀒŸģ€€P뀀 U.’3 ꀒŸģ€€P뀀 U:’4 +ꀒŸģ€€Pą€’Ÿą€€P 뀀 U’5 ') € ’ '( ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ')’ '(!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;!’  €€;’ ')’( '(:’) +ꀒŸģ€€Pö€’Ÿö€€P 뀀 U.’* ꀒŸģ€€P뀀 U.’+ ꀒŸģ€€P뀀 U.’, ꀒŸģ€€P뀀 U.’- ꀒŸģ€€P뀀 U.’. ꀒŸģ€€P뀀 U.’/ ꀒŸģ€€P뀀 U.’0 ꀒŸģ€€P뀀 U.’1 ꀒŸģ€€P뀀 U.’2 ꀒŸģ€€P뀀 U.’3 ꀒŸģ€€P뀀 U:’4 +ꀒŸģ€€Pą€’Ÿą€€P 뀀 U’5 ') €’'( ’ ’ ’ ’ ’ ’ ’  ’  ’  ’  ’  ’’')’'(!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;’ ')’('(:’)+ꀒŸģ€€Pö€’Ÿö€€P 뀀 U.’*ꀒŸģ€€P뀀 U.’+ꀒŸģ€€P뀀 U.’,ꀒŸģ€€P뀀 U.’-ꀒŸģ€€P뀀 U.’.ꀒŸģ€€P뀀 U.’/ꀒŸģ€€P뀀 U.’0ꀒŸģ€€P뀀 U.’1ꀒŸģ€€P뀀 U.’2ꀒŸģ€€P뀀 U.’3ꀒŸģ€€P뀀 U:’4+ꀒŸģ€€Pą€’Ÿą€€P 뀀 U’5') €’'( ’ ’ ’ ’ ’ ’ ’  ’  ’  ’  ’  ’’')’'(!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;’ ')’('(:’)+ꀒŸģ€€Pö€’Ÿö€€P 뀀 U.’*ꀒŸģ€€P뀀 U.’+ꀒŸģ€€P뀀 U.’,ꀒŸģ€€P뀀 U.’-ꀒŸģ€€P뀀 U.’.ꀒŸģ€€P뀀 U.’/ꀒŸģ€€P뀀 U.’0ꀒŸģ€€P뀀 U.’1ꀒŸģ€€P뀀 U.’2ꀒŸģ€€P뀀 U.’3ꀒŸģ€€P뀀 U:’4+ꀒŸģ€€Pą€’Ÿą€€P 뀀 U’5') €’'( ’ ’ ’ ’ ’ ’ ’  ’  ’  ’  ’  ’’')’'(!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;!’ €€;’ ')’('(L’)=ꀒŸģ€€Pė€łŸ ģ€łŸ ö€’Ÿ ö€€ ö€łŸ 뀀 U:’*+ꀒŸģ€€Pź€łŸģ€łŸP 뀀 U:’++ꀒŸģ€€Pź€łŸģ€łŸP 뀀 U:’,+ꀒŸģ€€Pź€łŸģ€łŸP 뀀 U:’-+ꀒŸģ€€Pź€łŸģ€łŸP 뀀 U:’.+ꀒŸģ€€Pź€łŸģ€łŸP 뀀 U:’/+ꀒŸģ€€Pź€łŸģ€łŸP 뀀 U:’0+ꀒŸģ€€Pź€łŸģ€łŸP 뀀 U:’1+ꀒŸģ€€Pź€łŸģ€łŸP 뀀 U:’2+ꀒŸģ€€Pź€łŸģ€łŸP 뀀 U:’3+ꀒŸģ€€Pź€łŸģ€łŸP 뀀 UL’4=ꀒŸģ€€Pą€’Ÿ ą€€ ź€łŸ ė€łŸ ą€łŸ 뀀 U’5') €’'(’'-’'-’'-’'-’'-’'-’ '-’ '-’ '-’ '-’ '-’'-’')’'(’'-’'-’'-’'-’'-’'-’'-’'-’'-’'-’'-’'-’ ')’('(’)'-’*'-’+'-’,'-’-'-’.'-’/'-’0'-’1'-’2'-’3'-’4'-’5')’'lr=liferules6’'I have written this spreadsheet as an exercise € ń ń’'in circular references. € ń ń € ń ń;’'Please note that the apparent variation in the rules € ń ń5’'is due to using the sum of (neighbors + self). € ń ń € ń ń0’'The calculation mode is MANUAL COLUMWISE. € ń ń4’'If you intend to rearrange things so that the € ń ń1’'sections are above one another, switch to: € ń ń’' MANUAL ROWWISE. € ń ń€ €åŸ ’ '=fgen8’ 'Do not change the formulas is the sections marked ’!'\r’!'~{goto}gen~/’!'PREVIOUS GENERATION and THIS GENERATION.’"'0~{calc} ’#'1+gen~6’#'To change the initial pattern, place 1's in the’$'section marked:’%' STARTING POINTš€ š?€åæ ’ '=fgen8’ 'Do not change the formulas is the sections marked ’!'\r’!'~{goto}gen~/’!'PREVIOUS GENERATION and THIS GENERATION.’"'0~{calc} ’#'1+gen~6’#'To change the initial pattern, place 1's in the’$'section marked:’%' STARTING POINT