perplexus.info :: Just Math : Numerology

Numerology (Posted on 2009-02-28)

Assign the values of 1 through 26 respectively to A through Z.

Find words of x letters (all letters and words¹ different) such that the sum of letter values becomes the word value that fits each table category.

The table values represent the best values, being the lowest and highest, for which I was able; the left column represents word length. Can you also do better by providing a word lower or higher than the table value?

The blank cells are for those who wish to press this further.



	Prime		Triangle		Square
	Lowest	Highest	Lowest	Highest	Lowest	Highest
3	7	61	6	66	9	64
4	13	79	15	78	16	64
5	19	89	21	91	36	81
6	37	109	36	91	49	100
7	47	97	66	78	81	100
8
9

¹Special note: Should a word score 36 (being both a triangle and square) neither a repetition of it nor any anagrams is considered acceptable.

Submitted by brianjn

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Solution: (Hide)

Clearly the solutions to which I arrived have not always matched the power of a computer being able search word lists.
Prime Triangle Square Low High Low High Low High 3 bad (7) you (61) cab (6) wry (66) ace (9) sty (64) 4 dace (13) your (79) face (15) troy (78) fade cage (16) zero (64) 5 badge faced (19) writs (89) abide (21) spout (91) field (36) straw (81) 6 bleach (31) worthy (109) lacked (36) sawyer (91) harmed (49) squint towers(100) 7 backing (47) spurned (97) abolish (66) stamped (78) recoils (81) spouted (100) 8 9

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Onomastic prolixity	Charlie	2009-03-05 02:57:44
re: Onomastic prolixity	brianjn	2009-03-04 20:26:05
re: Onomastic prolixity	Dej Mar	2009-03-04 19:12:06
Onomastic prolixity	ed bottemiller	2009-03-04 13:38:54
Author's Solution	brianjn	2009-03-03 02:54:20
There are other solutions (spoiler)	Dej Mar	2009-03-02 21:50:24
re(2): computer solution	Charlie	2009-03-01 04:01:34
3 letter solutions	Dej Mar	2009-02-28 23:02:25
re: computer solution	Dej Mar	2009-02-28 21:17:43
computer solution	Charlie	2009-02-28 15:52:40

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