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Over the years, Word Ways has identified many of the longest isograms, words and names which use no repeated letters.
Darryl Francis's article New Pair Isograms in the February 2012 Word Ways brought back memories from my early days of dabbling with word play.
Francis was represented by the fact that iaos is the only four-letter isogram in the Merriam-Webster unabridged having letters in alphabetic order in a certain scrambled alphabet, and Grant was introduced with his list of last-names-anagrams-of-first extracted from the New Zealand Electoral rolls.
For instance, there is only one three-letter isogram, KEP, with no shittgram, so a reasonable estimate of b is 584/585.
I = Isogram (pair isogram unless specified otherwise); Unreferenced words can be found in the Oxford English Dictionary, Second Edition.
It is also of great interest logologically since as an isogram it splits nicely into five two-letter words TO-UR-MALI-NE all of which may be found in standard dictionaries.
As before, Noah turns away hyphenated words, coinages, palindromes, tautonyms and pair isograms.
In addition, synchronously applying of the other capabilities of this software and Excel 10 program, the map of isograms was drawn and prepared.
At Figs 2 and 3 isograms of the maximum and the minimum elongation of the most important horizontal deformations are provided.
The third is the ludic mode, which relates to my liking for constraints, exploits and "exercises" and gives rise to all the work based on the notions and devices gleaned from Oulipo's experiments: palindromes, lipograms, pangrams, anagrams, isograms, acrostics, crosswords, and so on.