English

Further Hopping with Toads and Frogs

Combinatorics 2008-04-07 v1

Abstract

We show the value of positions of the combinatorial game ``Toads and Frogs''. We present new values of starting positions. Moreover, we discuss the values of all positions with exactly one ,\regTa\regFa,\regTa\regF\regF\regF,\regTa\regFb\Box, \regT^{a}\Box\Box \regF^{a}, \regT^{a} \Box \Box \Box \regF \regF \regF,\regT^{a}\Box\Box \regF^{b}, \regTa\regFb\regT^{a}\Box\Box\Box \regF^{b}. At the end, we post five new conjectures and discuss the possible future work.

Keywords

Cite

@article{arxiv.0804.0640,
  title  = {Further Hopping with Toads and Frogs},
  author = {Thotsaporn ``Aek'' Thanatipanonda},
  journal= {arXiv preprint arXiv:0804.0640},
  year   = {2008}
}

Comments

11 pages

R2 v1 2026-06-21T10:27:34.497Z