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Identifier
Mp00135: Binary words rotate front-to-backBinary words
Images
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10101010101101001010=>01010101011010010101 10101010101101010010=>01010101011010100101 11101010100101010100=>11010101001010101001 11011010100101010100=>10110101001010101001 11010110100101010100=>10101101001010101001 11010101100101010100=>10101011001010101001 11001111111100000000=>10011111111000000001 10101010110101010111=>01010101101010101111 11101010101101010101=>11010101011010101011 10101010000101010111=>01010100001010101111 11101010100001010101=>11010101000010101011 11111111000000001100=>11111110000000011001 11111111010000000100=>11111110100000001001 11100011111110000000=>11000111111100000001 11110000111111000000=>11100001111110000001 11111000001111100000=>11110000011111000001 11111100000011110000=>11111000000111100001 11111110000000111000=>11111100000001110001 11111111111111111111=>11111111111111111111 11111111111111111001=>11111111111111110011 11111111111111100001=>11111111111111000011 11111111111110000001=>11111111111100000011 11111111111000000001=>11111111110000000011 11111111100000000001=>11111111000000000011 11111110000000000001=>11111100000000000011 11111000000000000001=>11110000000000000011 11100000000000000001=>11000000000000000011 10000000000000000001=>00000000000000000011 11111010101011000000=>11110101010110000001 11111100101010100000=>11111001010101000001 11110101010101100000=>11101010101011000001 11111001010101010000=>11110010101010100001 11111110111000000000=>11111101110000000001 11111101111000000000=>11111011110000000001 11111011111000000000=>11110111110000000001 11110111111000000000=>11101111110000000001 11101111111000000000=>11011111110000000001 11101010101010100100=>11010101010101001001 1111111111000000000010=>1111111110000000000101 1011111111110000000000=>0111111111100000000001 0000000000111111111101=>0000000001111111111010 0100000000001111111111=>1000000000011111111110 1101010101010101010100=>1010101010101010101001 1010101010101010101100=>0101010101010101011001 1111111111001000000000=>1111111110010000000001 1111111111010000000000=>1111111110100000000001 1010101010101010110100=>0101010101010101101001 1111111110110000000000=>1111111101100000000001 1010101010010101010111=>0101010100101010101111 1110101010100101010101=>1101010101001010101011 1100101010101010101010=>1001010101010101010101 1111111111000000000100=>1111111110000000001001 1111101010101011000000=>1111010101010110000001 1111110010101010100000=>1111100101010101000001
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
The rotation of a binary word, first letter last.
This is the word obtained by moving the first letter to the end.
Properties
bijective, graded
Sage code
def mapping(w):
    return Word([int(l) for l in w[1:]] + [int(w[0])], [0,1])
Weight
26
Created
Jan 29, 2020 at 13:27 by FindStatCrew
Updated
Jan 29, 2020 at 13:27 by Martin Rubey