OFFSET
1,4
COMMENTS
These perfectly looping walks are similar, but still different from self-avoiding polygons on the square lattice (A002931) and allow one to realize toy tracks.
Rotations, reflections and translations are allowed.
LINKS
Jérôme Bastien, Détails du Brevet (Patent for a Circuit suitable for guiding a miniature vehicle), 2012, in French.
Jérôme Bastien, Catalogue de plans pour le système Easyloop (a complete set of examples available).
Jérôme Bastien, Construction and enumeration of circuits capable of guiding a miniature vehicle, Recreational Mathematics Magazine, 3 (2016), 5-42, arXiv:1603.08775 [math.CO], doi:10.1515/rmm-2016-0006.
EXAMPLE
Some examples are given in the linked paper arxiv.org:1603.08775:
* the a(7)=7 tracks are plotted in Figure 14, p. 24
* some of a(8)=33 tracks are plotted in Figure 15, p. 25
* some of a(9)=74 tracks are plotted in Figure 16, p. 26
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Jérôme Bastien, Apr 25 2016
STATUS
approved