A hexomino tile is a tile in the shape of a regular hexagon with a number from 1 to n at each corner. The same number can appear on more than one corner.
A set of size n will have one tile with each possible configuration of numbers from 1-n in both clockwise and counterclockwise orientation.
How many hexomino tiles are in a size n set?
Three people left 3 different trails. We give you here the start and the ends of each one of the people (you don’t know who ended where). We also give you how many times each one of the people has turned up, down, right or left and how many times each one of the people get into an intersection that someone else has also passed.
A: north 5, south 1, east 3, west 2, crosses 9
B: north 5, south 0, east 2, west 2, crosses 8
C: north 6, south 1, east 2, west 4, crosses 9
Can you reconstruct the three trails?