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{\bf Thotsaporn ``Aek'' Thanatipanonda}
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{\bf Further Hopping with Toads and Frogs}
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We prove some new results about the combinatorial game ``Toads and
Frogs''.  We give a finite number of recurrence relations for
computing the values of all positions with exactly one $\Box$.  We
show that ${\rm T}^{a}\Box\Box{\rm F}^{a}$ is an infinitesimal for 
$a\geq 4$.  At the end, we make five new conjectures and describe
possible future work.

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