Identifier
Mp00158: Binary words alternating inverseBinary words
Mp00104: Binary words reverseBinary words
Mp00105: Binary words complementBinary words
Images
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100101000011=>110000010110=>011010000011=>100101111100 101001000011=>111100010110=>011010001111=>100101110000 101010000011=>111111010110=>011010111111=>100101000000 101110110111=>111011100010=>010001110111=>101110001000 101101110111=>111000100010=>010001000111=>101110111000 101011110111=>111110100010=>010001011111=>101110100000 101110100111=>111011110010=>010011110111=>101100001000 101011100111=>111110110010=>010011011111=>101100100000 100110101111=>110011111010=>010111110011=>101000001100 101110101111=>111011111010=>010111110111=>101000001000 101100101111=>111001111010=>010111100111=>101000011000 101101101111=>111000111010=>010111000111=>101000111000 101001101111=>111100111010=>010111001111=>101000110000 101011101111=>111110111010=>010111011111=>101000100000 101101001111=>111000011010=>010110000111=>101001111000 101011001111=>111110011010=>010110011111=>101001100000 101101011111=>111000001010=>010100000111=>101011111000 101011011111=>111110001010=>010100011111=>101011100000 101010011111=>111111001010=>010100111111=>101011000000 101010111111=>111111101010=>010101111111=>101010000000 10001010101=>11011111111=>11111111011=>00000000100 0001010000=>0100000101=>1010000010=>0101111101 0100010000=>0001000101=>1010001000=>0101110111 0001000100=>0100010001=>1000100010=>0111011101 0111011100=>0010001001=>1001000100=>0110111011 0101000101=>0000010000=>0000100000=>1111011111 0101010001=>0000000100=>0010000000=>1101111111 0110001001=>0011011100=>0011101100=>1100010011 0101011011=>0000001110=>0111000000=>1000111111 010100000000=>000001010101=>101010100000=>010101011111 000101000000=>010000010101=>101010000010=>010101111101 010001000000=>000100010101=>101010001000=>010101110111 000001010000=>010100000101=>101000001010=>010111110101 010101010000=>000000000101=>101000000000=>010111111111 000100010000=>010001000101=>101000100010=>010111011101 010000010000=>000101000101=>101000101000=>010111010111 011010010000=>001111000101=>101000111100=>010111000011 000110110000=>010011100101=>101001110010=>010110001101 010010110000=>000111100101=>101001111000=>010110000111 011000110000=>001101100101=>101001101100=>010110010011 000000010100=>010101000001=>100000101010=>011111010101 010100010100=>000001000001=>100000100000=>011111011111 000101010100=>010000000001=>100000000010=>011111111101 010001010100=>000100000001=>100000001000=>011111110111 000001000100=>010100010001=>100010001010=>011101110101 010101000100=>000000010001=>100010000000=>011101111111 000100000100=>010001010001=>100010100010=>011101011101 010000000100=>000101010001=>100010101000=>011101010111 011010000100=>001111010001=>100010111100=>011101000011 000110100100=>010011110001=>100011110010=>011100001101 010010100100=>000111110001=>100011111000=>011100000111 011000100100=>001101110001=>100011101100=>011100010011 000100101100=>010001111001=>100111100010=>011000011101 010000101100=>000101111001=>100111101000=>011000010111 000110001100=>010011011001=>100110110010=>011001001101 010010001100=>000111011001=>100110111000=>011001000111 011110111100=>001011101001=>100101110100=>011010001011 010100000101=>000001010000=>000010100000=>111101011111 000101000101=>010000010000=>000010000010=>111101111101 010001000101=>000100010000=>000010001000=>111101110111 011000110101=>001101100000=>000001101100=>111110010011 000000010001=>010101000100=>001000101010=>110111010101 010100010001=>000001000100=>001000100000=>110111011111 000101010001=>010000000100=>001000000010=>110111111101 010001010001=>000100000100=>001000001000=>110111110111 000001000001=>010100010100=>001010001010=>110101110101 010101000001=>000000010100=>001010000000=>110101111111 000100000001=>010001010100=>001010100010=>110101011101 010000000001=>000101010100=>001010101000=>110101010111 000001101001=>010100111100=>001111001010=>110000110101 010101100011=>000000110110=>011011000000=>100100111111 011001010011=>001100000110=>011000001100=>100111110011 0011101110=>0110111011=>1101110110=>0010001001 0011110110=>0110100011=>1100010110=>0011101001 0011111010=>0110101111=>1111010110=>0000101001 100110001001=>110011011100=>001110110011=>110001001100 100111011001=>110010001100=>001100010011=>110011101100 100111100101=>110010110000=>000011010011=>111100101100 110111001101=>100010011000=>000110010001=>111001101110 110111101101=>100010111000=>000111010001=>111000101110 110010001001=>100111011100=>001110111001=>110001000110 110010000101=>100111010000=>000010111001=>111101000110 110001000101=>100100010000=>000010001001=>111101110110 110000100101=>100101110000=>000011101001=>111100010110 110000010101=>100101000000=>000000101001=>111111010110 111011011101=>101110001000=>000100011101=>111011100010 111011110101=>101110100000=>000001011101=>111110100010 111101101101=>101000111000=>000111000101=>111000111010 111110110101=>101011100000=>000001110101=>111110001010 0000101000=>0101111101=>1011111010=>0100000101 0000100010=>0101110111=>1110111010=>0001000101 000000100010=>010101110111=>111011101010=>000100010101 000000110110=>010101100011=>110001101010=>001110010101 000011010010=>010110000111=>111000011010=>000111100101 001010001010=>011111011111=>111110111110=>000001000001 001000100000=>011101110101=>101011101110=>010100010001 001000000010=>011101010111=>111010101110=>000101010001 001000010110=>011101000011=>110000101110=>001111010001 001001010010=>011100000111=>111000001110=>000111110001 001001000110=>011100010011=>110010001110=>001101110001 001101100000=>011000110101=>101011000110=>010100111001 001101000010=>011000010111=>111010000110=>000101111001 001100010010=>011001000111=>111000100110=>000111011001 001100000110=>011001010011=>110010100110=>001101011001 001111011110=>011010001011=>110100010110=>001011101001 100001011000=>110100001101=>101100001011=>010011110100 100101100000=>110000110101=>101011000011=>010100111100 100101001000=>110000011101=>101110000011=>010001111100 100101000010=>110000010111=>111010000011=>000101111100 100100010010=>110001000111=>111000100011=>000111011100 111011010110=>101110000011=>110000011101=>001111100010 111001011110=>101100001011=>110100001101=>001011110010 011011100110=>001110110011=>110011011100=>001100100011 011010000110=>001111010011=>110010111100=>001101000011 011010111100=>001111101001=>100101111100=>011010000011 010001001000=>000100011101=>101110001000=>010001110111 010100001000=>000001011101=>101110100000=>010001011111 010010100000=>000111110101=>101011111000=>010100000111 100111110011=>110010100110=>011001010011=>100110101100 111110010110=>101011000011=>110000110101=>001111001010 101111010110=>111010000011=>110000010111=>001111101000 111001110110=>101100100011=>110001001101=>001110110010 101101110110=>111000100011=>110001000111=>001110111000 0011000100=>0110010001=>1000100110=>0111011001 0011000010=>0110010111=>1110100110=>0001011001 0001001100=>0100011001=>1001100010=>0110011101 0001000110=>0100010011=>1100100010=>0011011101 0001100100=>0100110001=>1000110010=>0111001101 0001100010=>0100110111=>1110110010=>0001001101 0000101100=>0101111001=>1001111010=>0110000101 0000100110=>0101110011=>1100111010=>0011000101 0000110100=>0101100001=>1000011010=>0111100101 0000110010=>0101100111=>1110011010=>0001100101 0000011010=>0101001111=>1111001010=>0000110101 110011001110=>100110011011=>110110011001=>001001100110 110011000100=>100110010001=>100010011001=>011101100110 110011000010=>100110010111=>111010011001=>000101100110 110011101100=>100110111001=>100111011001=>011000100110 110011100110=>100110110011=>110011011001=>001100100110 110011110100=>100110100001=>100001011001=>011110100110 110011110010=>100110100111=>111001011001=>000110100110 110011111010=>100110101111=>111101011001=>000010100110 110001001100=>100100011001=>100110001001=>011001110110 110001000100=>100100010001=>100010001001=>011101110110 110001000110=>100100010011=>110010001001=>001101110110 110001100100=>100100110001=>100011001001=>011100110110 110001100010=>100100110111=>111011001001=>000100110110 110001110110=>100100100011=>110001001001=>001110110110 110001111010=>100100101111=>111101001001=>000010110110 110000101100=>100101111001=>100111101001=>011000010110 110000100110=>100101110011=>110011101001=>001100010110 110000100010=>100101110111=>111011101001=>000100010110 110000110100=>100101100001=>100001101001=>011110010110 110000110010=>100101100111=>111001101001=>000110010110 110000010110=>100101000011=>110000101001=>001111010110 110000011010=>100101001111=>111100101001=>000011010110 110000001010=>100101011111=>111110101001=>000001010110 111011001100=>101110011001=>100110011101=>011001100010 111011001110=>101110011011=>110110011101=>001001100010 111011000110=>101110010011=>110010011101=>001101100010 111011101100=>101110111001=>100111011101=>011000100010 111011101110=>101110111011=>110111011101=>001000100010 111011100100=>101110110001=>100011011101=>011100100010 111011100010=>101110110111=>111011011101=>000100100010 111011110110=>101110100011=>110001011101=>001110100010 111011110010=>101110100111=>111001011101=>000110100010 111011111010=>101110101111=>111101011101=>000010100010 111001001110=>101100011011=>110110001101=>001001110010 111001000100=>101100010001=>100010001101=>011101110010 111001000010=>101100010111=>111010001101=>000101110010 111001101100=>101100111001=>100111001101=>011000110010 111001100110=>101100110011=>110011001101=>001100110010 111001110100=>101100100001=>100001001101=>011110110010 111001110010=>101100100111=>111001001101=>000110110010 111001111010=>101100101111=>111101001101=>000010110010 111000101110=>101101111011=>110111101101=>001000010010 111000100100=>101101110001=>100011101101=>011100010010 111000100010=>101101110111=>111011101101=>000100010010 111000110110=>101101100011=>110001101101=>001110010010 111000111010=>101101101111=>111101101101=>000010010010 111000010100=>101101000001=>100000101101=>011111010010 111000010010=>101101000111=>111000101101=>000111010010 111000001010=>101101011111=>111110101101=>000001010010 111101001100=>101000011001=>100110000101=>011001111010 111101000110=>101000010011=>110010000101=>001101111010 111101101110=>101000111011=>110111000101=>001000111010 111101100100=>101000110001=>100011000101=>011100111010 111101100010=>101000110111=>111011000101=>000100111010 111101110100=>101000100001=>100001000101=>011110111010 111101110110=>101000100011=>110001000101=>001110111010 111101111010=>101000101111=>111101000101=>000010111010 111100101100=>101001111001=>100111100101=>011000011010 111100101110=>101001111011=>110111100101=>001000011010 111100100110=>101001110011=>110011100101=>001100011010 111100110100=>101001100001=>100001100101=>011110011010 111100110010=>101001100111=>111001100101=>000110011010 111100111010=>101001101111=>111101100101=>000010011010 111100010110=>101001000011=>110000100101=>001111011010 111100011010=>101001001111=>111100100101=>000011011010 111110101100=>101011111001=>100111110101=>011000001010 111110101110=>101011111011=>110111110101=>001000001010 111110100100=>101011110001=>100011110101=>011100001010 111110100110=>101011110011=>110011110101=>001100001010 111110100010=>101011110111=>111011110101=>000100001010 111110110110=>101011100011=>110001110101=>001110001010 111110110010=>101011100111=>111001110101=>000110001010 111110111010=>101011101111=>111101110101=>000010001010 111110010100=>101011000001=>100000110101=>011111001010 111110010010=>101011000111=>111000110101=>000111001010 111110011010=>101011001111=>111100110101=>000011001010 111110001010=>101011011111=>111110110101=>000001001010 111111010110=>101010000011=>110000010101=>001111101010 111111011010=>101010001111=>111100010101=>000011101010 111111101010=>101010111111=>111111010101=>000000101010 11010100000=>10000001010=>01010000001=>10101111110 0010110000=>0111100101=>1010011110=>0101100001 11111111100=>10101010110=>01101010101=>10010101010 01110101010=>00100000000=>00000000100=>11111111011 01111101010=>00101000000=>00000010100=>11111101011 01111111010=>00101010000=>00001010100=>11110101011 100000000101=>110101010000=>000010101011=>111101010100 100000010001=>110101000100=>001000101011=>110111010100 100001010000=>110100000101=>101000001011=>010111110100 100001010101=>110100000000=>000000001011=>111111110100 100001000001=>110100010100=>001010001011=>110101110100 100101000000=>110000010101=>101010000011=>010101111100 100101000101=>110000010000=>000010000011=>111101111100 100101010100=>110000000001=>100000000011=>011111111100 100101010001=>110000000100=>001000000011=>110111111100 100100010000=>110001000101=>101000100011=>010111011100 100100010101=>110001000000=>000000100011=>111111011100 100100000100=>110001010001=>100010100011=>011101011100 100100000001=>110001010100=>001010100011=>110101011100 100100101100=>110001111001=>100111100011=>011000011100 100110110000=>110011100101=>101001110011=>010110001100 100110100100=>110011110001=>100011110011=>011100001100 100110001100=>110011011001=>100110110011=>011001001100 100111011100=>110010001001=>100100010011=>011011101100 110100000000=>100001010101=>101010100001=>010101011110 110100000101=>100001010000=>000010100001=>111101011110 110100010100=>100001000001=>100000100001=>011111011110 110100010001=>100001000100=>001000100001=>110111011110 110101010000=>100000000101=>101000000001=>010111111110 110101000100=>100000010001=>100010000001=>011101111110 110101000001=>100000010100=>001010000001=>110101111110 110001000000=>100100010101=>101010001001=>010101110110 110001010100=>100100000001=>100000001001=>011111110110 110001010001=>100100000100=>001000001001=>110111110110 110000010000=>100101000101=>101000101001=>010111010110 110000000100=>100101010001=>100010101001=>011101010110 110000000001=>100101010100=>001010101001=>110101010110 110010001100=>100111011001=>100110111001=>011001000110 110011011100=>100110001001=>100100011001=>011011100110 111000010111=>101101000010=>010000101101=>101111010010 111001000111=>101100010010=>010010001101=>101101110010 111100000111=>101001010010=>010010100101=>101101011010 111111011111=>101010001010=>010100010101=>101011101010 0010011000=>0111001101=>1011001110=>0100110001 0100011000=>0001001101=>1011001000=>0100110111 011100110011=>001001100110=>011001100100=>100110011011 011101100011=>001000110110=>011011000100=>100100111011 0001001101=>0100011000=>0001100010=>1110011101 0000101011=>0101111110=>0111111010=>1000000101 0001000000=>0100010101=>1010100010=>0101011101 011110010011=>001011000110=>011000110100=>100111001011 000111110011=>010010100110=>011001010010=>100110101101 0111001101=>0010011000=>0001100100=>1110011011 0000100000=>0101110101=>1010111010=>0101000101 111111001000=>101010011101=>101110010101=>010001101010 111101101000=>101000111101=>101111000101=>010000111010 111100111000=>101001101101=>101101100101=>010010011010 110011111000=>100110101101=>101101011001=>010010100110 001010010000=>011111000101=>101000111110=>010111000001 00111111001=>01101010011=>11001010110=>00110101001 101101100000=>111000110101=>101011000111=>010100111000 101101001000=>111000011101=>101110000111=>010001111000 100011011000=>110110001101=>101100011011=>010011100100 101001011000=>111100001101=>101100001111=>010011110000 101100011000=>111001001101=>101100100111=>010011011000 101010001010=>111111011111=>111110111111=>000001000000 101101000010=>111000010111=>111010000111=>000101111000 100011010010=>110110000111=>111000011011=>000111100100 101001010010=>111100000111=>111000001111=>000111110000 101100010010=>111001000111=>111000100111=>000111011000 101110001110=>111011011011=>110110110111=>001001001000 100011001100=>110110011001=>100110011011=>011001100100 101100001100=>111001011001=>100110100111=>011001011000 100110111100=>110011101001=>100101110011=>011010001100 101100111100=>111001101001=>100101100111=>011010011000 100101111100=>110000101001=>100101000011=>011010111100 101001111100=>111100101001=>100101001111=>011010110000 100111001000=>110010011101=>101110010011=>010001101100 100110011000=>110011001101=>101100110011=>010011001100 100100111000=>110001101101=>101101100011=>010010011100 100111010000=>110010000101=>101000010011=>010111101100 100010010000=>110111000101=>101000111011=>010111000100 101110010000=>111011000101=>101000110111=>010111001000 101000010000=>111101000101=>101000101111=>010111010000 101100110000=>111001100101=>101001100111=>010110011000 100101110000=>110000100101=>101001000011=>010110111100 101001110000=>111100100101=>101001001111=>010110110000 100111000010=>110010010111=>111010010011=>000101101100 101110000100=>111011010001=>100010110111=>011101001000 110001111001=>100100101100=>001101001001=>110010110110 110001111100=>100100101001=>100101001001=>011010110110 100101100010=>110000110111=>111011000011=>000100111100 100111100000=>110010110101=>101011010011=>010100101100 100110010010=>110011000111=>111000110011=>000111001100 101111000000=>111010010101=>101010010111=>010101101000 101000110100=>111101100001=>100001101111=>011110010000 101001001100=>111100011001=>100110001111=>011001110000 101010010100=>111111000001=>100000111111=>011111000000 101001001010=>111100011111=>111110001111=>000001110000 100101001010=>110000011111=>111110000011=>000001111100 100101010010=>110000000111=>111000000011=>000111111100 00011011111=>01001110101=>10101110010=>01010001101 0011100011=>0110110110=>0110110110=>1001001001 0100101000=>0001111101=>1011111000=>0100000111 011101100101=>001000110000=>000011000100=>111100111011 00111100001=>01101001011=>11010010110=>00101101001 111101001010=>101000011111=>111110000101=>000001111010 111110011000=>101011001101=>101100110101=>010011001010 111111000010=>101010010111=>111010010101=>000101101010 111111100000=>101010110101=>101011010101=>010100101010 100010110100=>110111100001=>100001111011=>011110000100 100011100100=>110110110001=>100011011011=>011100100100 100011110000=>110110100101=>101001011011=>010110100100 100100110010=>110001100111=>111001100011=>000110011100 100101101000=>110000111101=>101111000011=>010000111100 101001100100=>111100110001=>100011001111=>011100110000 101011000100=>111110010001=>100010011111=>011101100000 101011010000=>111110000101=>101000011111=>010111100000 101100100100=>111001110001=>100011100111=>011100011000 0100001101=>0001011000=>0001101000=>1110010111 011100001111=>001001011010=>010110100100=>101001011011 101111110000=>111010100101=>101001010111=>010110101000 111100001110=>101001011011=>110110100101=>001001011010 10101010011=>11111111001=>10011111111=>01100000000 10101001011=>11111100001=>10000111111=>01111000000 10100101011=>11110000001=>10000001111=>01111110000 10010101011=>11000000001=>10000000011=>01111111100 01100111111=>00110010101=>10101001100=>01010110011 111110000000=>101011010101=>101010110101=>010101001010 00011101011=>01001000001=>10000010010=>01111101101 00111010101=>01101111111=>11111110110=>00000001001 101110000111=>111011010010=>010010110111=>101101001000 110110000111=>100011010010=>010010110001=>101101001110 111000011101=>101101001000=>000100101101=>111011010010 100111111000=>110010101101=>101101010011=>010010101100 100001111000=>110100101101=>101101001011=>010010110100 111000000110=>101101010011=>110010101101=>001101010010 111000011110=>101101001011=>110100101101=>001011010010 111100000010=>101001010111=>111010100101=>000101011010 110000111000=>100101101101=>101101101001=>010010010110 011100111001=>001001101100=>001101100100=>110010011011 011111001001=>001010011100=>001110010100=>110001101011 011101101001=>001000111100=>001111000100=>110000111011 011111000011=>001010010110=>011010010100=>100101101011 11001111111=>10011010101=>10101011001=>01010100110 00000011001=>01010110011=>11001101010=>00110010101 00001100111=>01011001101=>10110011010=>01001100101 00110011111=>01100110101=>10101100110=>01010011001 11111110011=>10101011001=>10011010101=>01100101010 01011001101=>00001100111=>11100110000=>00011001111 011111000101=>001010010000=>000010010100=>111101101011 00000110111=>01010011101=>10111001010=>01000110101 00001101111=>01011000101=>10100011010=>01011100101 01101111111=>00111010101=>10101011100=>01010100011 001000110000=>011101100101=>101001101110=>010110010001 11111011000=>10101110010=>01001110101=>10110001010 01010100111=>00000001101=>10110000000=>01001111111 01010011101=>00000110111=>11101100000=>00010011111 01001110101=>00011011111=>11111011000=>00000100111 10111100010=>11101001000=>00010010111=>11101101000 11010011100=>10000110110=>01101100001=>10010011110 11011101000=>10001000010=>01000010001=>10111101110
Map
alternating inverse
Description
Sends a binary word $w_1\cdots w_m$ to the binary word $v_1 \cdots v_m$ with $v_i = w_i$ if $i$ is odd and $v_i = 1 - w_i$ if $i$ is even.
This map is used in [1], see Definitions 3.2 and 5.1.
Map
reverse
Description
Return the reversal of a binary word.
Map
complement
Description
Send a binary word to the word obtained by interchanging the two letters.