|
LOGOLOG
a weblog of wordplay by Eric Harshbarger
Word Dice
Better late than never.
At my Spring 2010 Puzzle Party I promised to give a special set of dice to the team which scored the highest on a particular puzzle called "Word Dice."
This was a challenge which I had first read about in Ross Eckler's Making The Alphabet Dance. The goal is to arrange 24 different letters of the alphabet onto the sides of four six-sided dice so that you are able to form the most possible 4-letter words from face-up combinations.
The word list of reference I used for this instance of the puzzle was the 4s from the current tournament word list for competitive Scrabble in North America. Several teams submitted answers, but White Team submitted the best answer (as generated by a quickly written script from team member Michael Hollingsworth). Their dice-face configuration of:
DIE 1: A,O,I,U,X,Z
DIE 2: E,W,B,G,P,C
DIE 3: S,D,Y,V,K,F
DIE 4: T,L,R,M,N,H
yielded 715 possible words (there are 4030 valid 4-letter words in the list).
I don't know if this is the best possible answer (I doubt it -- I feel I topped 800 at one point, but lost the answer). But it was good enough for Mike to earn a set of custom dice as pictured below.
And it only took me six months to actually make them.
If any readers out there find a better combination (yielding more words), please let me know!
-- Eric
[29 September 2010]
|
|
|
Archive
Box Office Pa... | |
Anti-Palindro... | 1 |
Palindromic S... | |
Dos Equis | |
Box Office Pa... | |
My Initial Su... | |
Incomparable | 1 |
Rock & Roll | 1 |
Aye, Qs! | |
This & That | |
It's All Abou... | 1 |
Non-Crashing ... | |
Pseudo-palind... | 2 |
Box Office Cu... | |
All In A Row | 1 |
Redividers | |
Chemical Symb... | 1 |
Over 636 Pali... | 2 |
Omino Font | |
Front Hook: S | 1 |
History of Bo... | 1 |
Front Hook: R | |
Well, Moviego... | 6 |
Front Hook: Q | |
Front Hook: P | |
Front Hook: O | |
Front Hook: N | 1 |
Front Hook: M | |
Front Hook: L | |
Front Hook: K | |
Front Hook: J | 1 |
Front Hook: I | 2 |
Front Hook: H | 4 |
Front Hook: G | 3 |
Front Hook: F | |
Front Hook: E | |
Front Hook: D | |
Front Hook: C | |
Front Hook: B | 1 |
Front Hook: A | |
Multiple Solu... | 1 |
And The Nomin... | |
I want a cut ... | 2 |
Stew-word-shi... | 1 |
Scrabble Play... | |
The answer is... | 2 |
Pangrams and ... | |
Pangrams and ... | |
Secret Weapon... | |
Colorful Citi... | 2 |
Song, Song, S... | 2 |
Near-Pangramm... | 2 |
Favorite Numb... | 3 |
Periodic Tabl... | 1 |
Body Of Music... | |
Filmed In Tec... | 3 |
Cryptic Femal... | 1 |
Colorful Film... | 1 |
Elemental Bod... | 5 |
Ambigrams Rev... | 1 |
Calculated Wo... | 2 |
Teacher Torto... | 2 |
True Story | |
Polly-Gone | |
Sending My Re... | |
A-B-C-D-ary | 1 |
Word Dice | 3 |
That Does It! | 3 |
Lexomino Puzz... | |
Morse Code Pa... | 5 |
Bringing Ingo... | 7 |
NIN | |
Dot, Dot, Das... | 2 |
Repeated lett... | 3 |
Palindromic P... | 7 |
Palindromic P... | |
Sick Pun | 4 |
Typesetting 2... | 2 |
Heterogrammic... | 5 |
Plurals | 1 |
Phoneys | 1 |
What is a "wo... | |
Hollywood Nam... | |
Front Hooks | |
Half Price | |
Through The 7... | |
W4... | 1 |
; | |
Bourne To Run | 4 |
DVDs | 2 |
V for Very Di... | |
Scrabble: Ash... | |
Scrabble, red... | 1 |
A=1, B=2, C=3 | 2 |
4 Sides To Ev... | 4 |
Periodic Tabl... | 2 |
BIVOUAC | 4 |
String of Mov... | 3 |
Where's Winsl... | 4 |
para-palindro... | 4 |
pun | |
Standardized ... | 2 |
Unintended Am... | 1 |
Web Too Dah T... | 1 |
Backronym | 2 |
Fishy | |
Too clever by... | 4 |
Another wordy... | |
Commercialize... | 1 |
Beyond BOOKKE... | 7 |
Not Positive ... | 11 |
Scrabble Tabl... | 2 |
Puzzle | 1 |
Negativity | |
Lightning | 1 |
Another Pan-v... | 1 |
Not So Frugal | |
Not So Funny ... | 1 |
Memory of GAM... | 5 |
Musical Wordp... | |
830 | |
Funny | 1 |
Chemical Abbr... | 1 |
Movie Rebuses | 7 |
Television Sh... | 1 |
Even More Het... | |
More Heterogr... | 3 |
Oooooo... | 2 |
Those crazy H... | 2 |
NFL | 4 |
Wordmonger | 2 |
Alli says, "A... | |
A Puzzling St... | 3 |
THE MAD ANAGR... | 5 |
Synonymous Co... | 1 |
CARNELIOUS | 3 |
-und | 2 |
Batteries | 2 |
Names | 13 |
Rubik Font | 3 |
Under A Spell | |
State The Rea... | 2 |
7x7 Scrabble ... | |
7x7 Scrabble ... | |
Scrabble Squa... | 4 |
Tube Maps | 2 |
GAMES Magazin... | |
Superbowl: ST... | |
Letter Shifti... | 1 |
Projects of L... | |
Slices of PI,... | |
Slices of PI,... | |
Heterogrammic... | |
QWERTY vs. Dv... | 2 |
Word Chemistr... | |
Heterogrammic... | 1 |
Pangrammic Cr... | 1 |
Comments for ... | 1 |
Ambigrams | |
Alphabet Soup | 4 |
Logo | |
Alpha-Pangram... | |
Book List | |
Scrabble Tile... | |
D'oh! | |
Letter Shifti... | |
Palindromes | |
Pangrammic Cr... | |
Phobias | 1 |
Pentominoes | |
Word Searchin... | 1 |
Welcome | 1 |
|
|
|
Comments about this article:
There may be 4030 4-letter words in the list but only 3627 can be used as they must be haplograms.
Posted by: Simon Lengyel
Cool problem, very fun to play with.
I found a set yielding 758 words:
Die 1: E, F, G, K, S, Y
Die 2: C, H, L, N, R, V
Die 3: B, D, M, P, T, W
Die 4: A, I, O, U, X, Z
Not sure whether this is the best solution, but it's the one my stochastic hill climber usually finds.
Posted by: Nils Fagerburg
I do not know what word list was used to determine the 4030 "valid" words, yet using the more recent word list of Word Judge Global there can be listed 4392 heterogrammic English words, today. Using this list, the White Team's dice solution can yield 896 words. Nils Fagerburg's set of dice yields a larger set of 942 words.
Posted by: Stuart M. Klimek
|
|