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Assemble six 1×2×2 blocks and three 1×1×1 blocks into a 3×3×3 cube.

The 6-polyiamond illustrated above.

The 6-polyiamond illustrated above, named for its resemblance to the Great Sphinx of Egypt.

The straight polyomino of order n is the n-polyomino in which all squares are placed along a line.

The order n T-polyomino consists of a vertical line of n-3 squares capped by a horizontal line of three squares centered on the line.

A trail is a walk v_0, e_1, v_1, ..., v_k with no repeated edge. The length of a trail is its number of edges. A u,v-trail is a trail with first vertex u and last vertex v, ...

A 4-polyhex.

One of the seven 4-polyhexes. S. Kim has observed that four worms solve the puzzle of finding a non-three-colorable map with only four congruent countries (as long as no ...

The 6-polyiamond illustrated above.

Let {f_n} and {a_n} be sequences with f_n>=f_(n+1)>0 for n=1, 2, ..., then |sum_(n=1)^ma_nf_n|<=Af_1, where A=max{|a_1|,|a_1+a_2|,...,|a_1+a_2+...+a_m|}.