From: rt@ukc.ac.uk (R.W.Thearle)
Newsgroups: rec.puzzles
Subject: Re: word permutations and rotations
Keywords: word permutat rotat
Date: 4 Sep 92 10:19:08 GMT
Reply-To: rt@ukc.ac.uk (R.W.Thearle)
Organization: Computing Lab, University of Kent at Canterbury, UK.

In article <10112@uqcspe.cs.uq.oz.au> grue@cs.uq.oz.au writes:
>baljeual@uther.calvin.edu (Alan Baljeu) writes:
>
>>2. Permutations.  Certain words can be permuted many ways and still produce
>>	words.
>
>>"stop" has 6 permutations (you may find them yourself :)
>
>	opts post pots spot stop tops
>
>>Can anyone do better?
>
>Yes.
>
>------------ The words with the most permutations ------------
>
>13 permutations: [apers etc.]
>12 permutations: [least etc., arets etc., alerts etc.]
>11 permutations: [palest etc.]
>There are four different words with 10 permutations.
>
>------------ The words with the most permutations for given lengths ------------
>
>For three letter words (5 permutations): [ate etc.]
>Four letter words (9 permutations): [ates etc.]
>Five letter words (13 permutations): [apers etc.]
>Six letter words (12 permutations): [alerts etc.]
>Seven letter words (10 permutations, three ways): [easting etc., anestri etc.,
			reagins etc.]
>Eigth letter words (9 permutations): [angriest etc.]
>Nine letter words (6 permutations): [centiares etc.]
>
>The dictionary I used gets a bit sparce after this so I won't continue.

Why not? you might have found the following:

Ten letter words (6 permutations):
	enverdures underserve underverse undeserver unreserved unreversed

Eleven letter words (9 permutations):
	anisometric creationism miscreation misreaction marcionites ramisection
	reactionism remications romanticise

Twelve letter words (4 permutations):
	citrylidenes indiscreetly indiscretely iridescently

Thirteen letter words (3 permutations) - several, including:
	peridiastolic periodicalist proidealistic
	antisoporific prosification sporification

Fourteen letter words (3 permutations) - plurals of previous, plus:
	propitiousness  resuppositions  superpositions

Fifteen letter words (4 permutations):
	gramophonically monographically nomographically phonogramically

Sixteen to twenty-two letter words (2 permutations) - e.g.:
	interlaminations internationalism
	basiparachromatin marsipobranchiata
	hexakistetrahedron tetrakishexahedron
	incontrovertibility introconvertibility
	oophorosalpingectomy salpingooophorectomy
	chromophotolithograph photochromolithograph
	hydropneumopericardium pneumohydropericardium
	
Incidentally, you can also have the following: 

Five letter words (13 permutations):
	elaps lapse leaps lepas pales peals pleas salep saple sepal slape
		spale speal
	ester estre reest reets reset retes steer stere stree teers terse
		trees tsere

Six letter words (16 permutations):
	alerts alters artels estral laster lastre ratels rastle relast resalt
		salter slater staler stelar talers tarsel

Seven letter words (13 permutations):
	easting eatings gainest gainset genista gitanes ingates ingesta seating
		signate tangies teasing tsigane

Nine letter words (9 permutations):
	actioners atroscine cerations certosina creations ostracine reactions
		tinoceras tricosane

						Roy
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