Firstly, a reminder that an AEIOU word is one in which the 5 major vowels occur just once, in any order. The AEIOU words of current concern, however, are limited to those in which the vowels occur in alphabetical circular order or reverse alphabetical circular order. Most of the examples below are solid words; a few hyphenated designations are included but phrases are not admitted. The listings in 'Looping the Vowels' and 'Grouping the Vowels' read across the page. Unreferenced words can be found in the Oxford English Dictionary, Second Edition, unless specified otherwise. The sources of other words are given at the end.
"Looping, Grouping and Aligning the Vowels,"
Word Ways: Vol. 38
, Article 12.
Available at: http://digitalcommons.butler.edu/wordways/vol38/iss4/12