This past week’s puzzle, as previously presented:
This week’s puzzle is a combination of combinatorics and spelling. Imagine a set of dice that bears not pips or numbers, but letters. This set of dice contains two 6-sided dice (hexahedron/cubes), one 8-sided die (octahedron), and one 4-sided die (tetrahedron.)
Each individual die displays the following sets of letters:
A, C, E, I, O, T
A, E, L, R, S, T
D, H, I, K, L, N, O, S
D, E, M, O
Based upon the set of words legal for your favorite crossword-style tile-based boardgame, how many different words can be “rolled” from these dice? Additionally, of the 4-letter words available, are there some words with different (better) odds?
Based upon an official favorite crossword-style tile-based boardgame dictionary, I got the following counts of words “rollable” from the unusual dice detailed above:
The “most rollable” word was OLEO, a colloquial term for margarine. It can be rolled some 6 different ways across the four dice. As the two hexahedrons have “EO,” and “EL,” the octahedron has “LO,” and the tetrahedron has “EO,” we can see:
|6-1 (EO)||6-2 (EL)||4 (EO)||8 (LO)|
|6-1 (EO)||8 (LO)||6-2 (EL)||4 (EO)|
|8 (LO)||6-2 (EL)||6-1 (EO)||4 (EO)|
|8 (LO)||6-2 (EL)||4 (EO)||6-1 (EO)|
|4 (EO)||6-2 (EL)||6-1 (EO)||8 (LO)|
|4 (EO)||8 (LO)||6-2 (EL)||6-1 (EO)|
Congratulations to Randy Slavey for being selected as this week’s winner from among the correct (or reasonably correct) entries submitted. The $50 Gift Certificate from the party animals at ThinkGeek is on its way to him!
Thanks to Randy and everyone else that submitted an entry.