perplexus.info :: General : Triangles in a Triangle

Triangles in a Triangle (Posted on 2012-08-09)

Using the relationship [A=1, B=2,..... Z=26] provide a word for each tier of the triangle such that:
1. The letter sum per tier is the largest triangle possible.
2. The letter sum per tier is the smallest triangle possible.

While TIG = 36 is a triangle it is not appropriate for tier three in either of the tasks #1 or #2 above.

Are you able to extend either triangle beyond 6 tiers?

Submitted by brianjn

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Solution: (Hide)

In developing this problem I was aware that some unusual words might occur, as demonstrated by Charlie and Dej Mar, but without access to the resources of either of those respondents the following triangles are the best that I could achieve from trial and error.

Largest
I
WE
SOU
RUST
STRUM
SWAMPS

Smallest
A
AN
TIG
FACE
BLEED
ACCEDE

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

Subject	Author	Date
re: computer solution	Dej Mar	2012-09-08 12:36:10
Three Tiers	Dej Mar	2012-08-10 07:18:24
computer solution	Charlie	2012-08-09 16:08:41

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