Zigzag and foxtrot terraces for Zn

@article{Preece2008ZigzagAF,
  title={Zigzag and foxtrot terraces for Zn},
  author={Donald A. Preece},
  journal={Australasian J. Combinatorics},
  year={2008},
  volume={42},
  pages={261-278}
}
A terrace for Zn (a Zn terrace) is an arrangement (a1, a2, . . . , an) of the n elements of Zn such that the sets of differences ai+1 − ai and ai − ai+1 (i = 1, 2, . . . , n−1) together contain each element of Zn\{0} exactly twice. Various general constructions are given for Zn terraces of two special types: zigzag terraces and foxtrot terraces. Some special cases already appear in the literatures of recreational and combinatorial mathematics, of statistics, and of the map color theorem, though… CONTINUE READING

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