Further Hopping with Toads and Frogs

Details Further Hopping with Toads and Frogs Further Hopping with Toads and Frogs

2008-04-04

arxiv.org/abs/0804.0640v1

Mathematics

Combinatorics

11 pages

Scientific paper

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 $\Box, \regT^{a}\Box\Box \regF^{a}, \regT^{a} \Box \Box \Box \regF \regF \regF,\regT^{a}\Box\Box \regF^{b}$, $\regT^{a}\Box\Box\Box \regF^{b}$. At the end, we post five new conjectures and discuss the possible future work.

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