Structures in g85

© 2000 V. Keränen

When coloured by every second letter,
substrings look coloured with one colour:

g85(a) = abcacdcbcdcadcdbdaba
cabadbabcbdbcbacbcdcacbabdabacadcbcdcac
dbcbacbcdcacdcbdcdadbdcbca

A cyclic permutation of a substring of length 26,
and the original substring, reappear as follows:

g85(a) = abcacdcbcdcadcdbdaba 
cabadbabcbdbcbacbcdcacbabd abacadcbcdcac
dbcbacbcdcacdcbdcdadbdcbca
 
g85(b) = bcdbdadcdadbadacabcb 
dbcbacbcdcacdcbdcdadbdcbca bcbdbadcdadbd
acdcbdcdadbdadcadabacadcdb
 
g85(c) = cdacabadabacbabdbcdc 
acdcbdcdadbdadcadabacadcdb cdcacbadabaca
bdadcadabacabadbabcbdbadac
 
g85(d) = dabdbcbabcbdcbcacdad 
bdadcadabacabadbabcbdbadac dadbdcbabcbdb 
cabadbabcbdbcbacbcdcacbabd

A substring of length 12 appears more than once:

g85(a) = abcacdcbcdcadcdbdaba 
cabadbabcbdbcbacbcdcacbabd abacadcbcdcac
dbcbacbcdcacdcbdcdadbdcbca

Far more than half of the (iterated) string is grey,
consisting of substrings in which letters a, b, c, d
occur equally often:

g85(a) = abc acdcbcdcadcdbdabacabadbabcbd 
bcbacbc dcacbabd abac adcb cdc acdb
cbacbcdcacdcbdcd adbdcbca

g85(a) = abc acdcbcdcadcdbdabacabadbabcbd 
bcbacbcdcacba bdabacadcbcd c acdb
cbacbcdcacdcbdcd adbdcbca

All a-2-free substrings of length 4, except
{acbd, adbc, bacd, bdca, cadb, cbda, dbac, dcab}
occur in the (iterated) string.

Converted by Mathematica January 4, 2000

Structures in g85

© 2000 V. Keränen

When coloured by every second letter, substrings look coloured with one colour:

A cyclic permutation of a substring of length 26,and the original substring, reappear as follows:

A substring of length 12 appears more than once:

Far more than half of the (iterated) string is grey, consisting of substrings in which letters a, b, c, d occur equally often:

All a-2-free substrings of length 4, except {acbd, adbc, bacd, bdca, cadb, cbda, dbac, dcab} occur in the (iterated) string.

When coloured by every second letter,
substrings look coloured with one colour:

A cyclic permutation of a substring of length 26,
and the original substring, reappear as follows:

Far more than half of the (iterated) string is grey,
consisting of substrings in which letters a, b, c, d
occur equally often:

All a-2-free substrings of length 4, except
{acbd, adbc, bacd, bdca, cadb, cbda, dbac, dcab}
occur in the (iterated) string.