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A theory of Hamiltonian cycles.

A 5-polyabolo.

One of the four 5-polyiamonds are called pentiamonds.

A sum over all cluster perimeters.

A heptomino in the shape of the Greek character pi.

5((x^5)_infty^5)/((x)_infty^6)=sum_(m=0)^inftyP(5m+4)x^m, where (x)_infty is a q-Pochhammer symbol and P(n) is the partition function P.

A refinement X of a cover Y is a cover such that every element x in X is a subset of an element y in Y.

One of the 14 4-polyaboloes.

The three 3-polyiamonds are called tetriamonds.

B_(p+k)=B_k+B_(k+1) (mod p), when p is prime and B_n is a Bell number.