October 14, 2014

Problem of the Week

for Tuesday, October 14, 2014

Two of the seven possible four-hexagon polyominoes are shown below. This week we present you with a triple challenge. How many different five-hexagon polyominoes can be formed by adding on a hexagon to the straight four-cell? How many different five-hexagon polyominoes can be formed by adding a hexagon on to the four-cell with a twist? And finally, how many five-hexagon polyominoes can be generated from both the straight four-cell and the one with a twist?