Found 1 comment on HN
Jun8 · 2019-10-30 · Original thread
Ahh, the topic of word squares! Let me start by saying this: If you find this sort of thing even remotely interesting, you owe it to yourself to immediately order Making The Alphabet Dance (https://www.amazon.com/Making-Alphabet-Dance-Recreational-Wo...) one of the best references on recreational wordplay (another good source to consult is the journal Word Ways, https://digitalcommons.butler.edu/wordways/). Ross Eckler has a whole chapter on this topic alone, the following tidbits are taken from there:

Eckler states that the modern history of word squares (following in the footsteps of the SATOR square) started with the following one, published in 1859:

  CIRCLE
  ICARUS
  RAREST
  CREATE
  LUSTRE
  ESTEEM
This is called a single word square, same words appearing in both horizontal and vertical directions. When these are different it's called a double word square, which are much are harder to construct.

Here's a six-square:

  RACISM
  EVINCE
  PERSON
  ASCENT
  STUCCO
  TASTER
Here's a nine-square, with all words from the OED, published in 1993:

  WORCESTER
  OVERLARGE
  RECOINAGE
  CROSSTIED
  ELISIONAL
  SANTONATE
  TRAINAGES
  EGGEATERS
  REEDLESSE
Constructing a 10-square using all words from a single language's dictionary has not been successful so far (who knows, with the new word additions to the OED...) Wikipedia calls this " the Holy Grail of logology" (https://en.wikipedia.org/wiki/Word_square#Order_10_squares)

And then he goes on to discuss word cubes! An n-cube contains n words repeated three times each and n(n-1)/2 words used six times each, it has a total of 3n^2 words. And yes, people have extended the idea to hypercubes.

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