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  2. Herringbone pattern - Wikipedia

    en.wikipedia.org/wiki/Herringbone_pattern

    The herringbone pattern has a symmetry of wallpaper group pgg, as long as the blocks are not of different color (i.e., considering the borders alone). Herringbone patterns can be found in wallpaper, mosaics, seating, cloth and clothing (herringbone cloth), shoe tread, security printing, herringbone gears, jewellery, sculpture, and elsewhere.

  3. Necklace problem - Wikipedia

    en.wikipedia.org/wiki/Necklace_problem

    The information specifies how many copies the necklace contains of each possible arrangement of black beads. For instance, for k = 2 {\displaystyle k=2} , the specified information gives the number of pairs of black beads that are separated by i {\displaystyle i} positions, for i = 0 , … , ⌊ n / 2 − 1 ⌋ {\displaystyle i=0,\dots ,\lfloor ...