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Identifier
Mp00136: Binary words rotate back-to-frontBinary words
Images
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0000000000111111111101=>1000000000011111111110 0100000000001111111111=>1010000000000111111111 1101010101010101010100=>0110101010101010101010 1010101010101010101100=>0101010101010101010110 1111111111001000000000=>0111111111100100000000 1111111111010000000000=>0111111111101000000000 1010101010101010110100=>0101010101010101011010 1111111110110000000000=>0111111111011000000000 1010101010010101010111=>1101010101001010101011 1110101010100101010101=>1111010101010010101010 1100101010101010101010=>0110010101010101010101 1111111111000000000100=>0111111111100000000010 1111101010101011000000=>0111110101010101100000 1111110010101010100000=>0111111001010101010000
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
The rotation of a binary word, last letter first.
This is the word obtained by moving the last letter to the beginnig.
Properties
bijective, graded
Sage code
def mapping(w):
    return Word([int(w[-1])] +  [int(l) for l in w[:-1]], [0,1])
Weight
26
Created
Jan 29, 2020 at 13:27 by FindStatCrew
Updated
Jan 29, 2020 at 13:27 by Martin Rubey