Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2007-05-07 22:41:25

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Words that contain AEIOU, in any order, each vowel exactly once

AEIOU
abstemious
abstentious
ar­senious
caesious
facetious

AEIUO

AEOIU
archegonium
pandemonium
praseodymium

AEOUI
warehousing

AEUIO

AEUOI
aneuploid

AIEOU
ambidextrous
gramineous

AIEUO
antineutron

AIOEU

AIOUE
amphioxuses
anxiousness
cariousness
factiousness
fractiousness
gladioluses
graciousness
jailhouse
scabiouses
spaciousness
variousness

AIUEO

AIUOE

AOEIU
androecium
apothecium

AOEUI
manoeuvring

AOIEU

AOIUE

AOUEI

AOUIE
acouchies
agouties
armouries
favourite
glamourize
jalousie
langoustine
macronutrient
malnourished
savouries
tambourine

AUEIO

AUEOI

AUIEO

AUIOE
agglutinogen
auctioned
audiometry
audiphone
cauliflower
cautioned
hallucinogen
malfunctioned
sanguinolent

AUOEI
autogenics
tautomerism

AUOIE
authorize
autotimer
glauconite
staurolite

NB: All words are in (or grammatically derivable from headword entries in) Collins English Dictionary.

Offline

#2 2007-05-07 22:44:12

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Words that contain AEIOU, in any order, each vowel exactly once

EAIOU
behaviour
edacious
gelatinous
gregarious
mendacious
nefarious
precarious
predacious
tenacious
veracious
vexatious

EAIUO

EAOIU
crematorium
seaborgium

EAOUI
belabouring
readjourning

EAUIO
exhaustion
precaution
recaution

EAUOI
reaccustoming

EIAOU
epignathous

EIAUO

EIOAU
plesiosaur

EIOUA

EIUAO

EIUOA

EOAIU
endocardium
leprosarium

EOAUI
menopausic

EOIAU

EOIUA

EOUAI
deflocculating
demodulating
depopulating
encouraging
expostulating
reformulating
remodulating
repopulating

EOUIA
ketonuria

EUAIO
crenulation
degustation
denudation
deputation
despumation
detruncation
education
emulation
encrustation
equation
eructation
exculpation
exhumation
expurgation
exudation
exultation
menstruation
mensuration
mercuration
peculation
permutation
persuasion
perturbation
refutation
regulation
reputation
speculation
sternutation

EUAOI
eukaryotic
pneumatolysis
pseudarthrosis
rheumatoid

EUIAO
elucidator
elutriator
enunciator
repudiator

EUIOA
delusional
equivocal
exclusionary
revulsionary

EUOAI
deutoplasmic
edulcorating
euchromatin
leucoplastid
neuropathic
pseudoclassic

EUOIA
eulogia
euphonically
euphorbia
euphoria
euphoriant
neuroglia
neuropsychiatry
neurotically
pleurodynia
pneumonia
pseudomythical
sequoia

NB: All words are in (or grammatically derivable from headword entries in) Collins English Dictionary.

Offline

#3 2007-05-07 22:46:55

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Words that contain AEIOU, in any order, each vowel exactly once

IAEOU
dichlamydeous
filamentous
intravenous
ligamentous
micaceous

IAEUO

IAOEU

IAOUE
chivalrousness
dialogue
disfavoured
(gigajoule)
miaoued

IAUEO

IAUOE

IEAOU
bicephalous
disepalous
pithecanthropus

IEAUO

IEOAU

IEOUA

IEUAO

IEUOA

IOAEU

IOAUE
ignoramuses

IOEAU

IOEUA
bimolecular
incommensurably
trimolecular

IOUAE
bivouacked
discourage
importunate
inoculate
inosculate

IOUEA

IUAEO

IUAOE

IUEAO

IUEOA

IUOAE
insupportable

IUOEA

NB: All words (except gigajoule) are in (or grammatically derivable from headword entries in) Collins English Dictionary. (I added gigajoule because I think it’s a nice one. smile)

Last edited by JaneFairfax (2009-09-26 01:18:26)

Offline

#4 2007-05-07 22:49:02

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Words that contain AEIOU, in any order, each vowel exactly once

OAEIU

OAEUI

OAIEU

OAIUE
odalisque
portraiture

OAUEI

OAUIE
consanguine

OEAIU
overfanciful

OEAUI
overhauling
overslaughing
overvaluing
somersaulting

OEIAU

OEIUA
proventricular

OEUAI
coequality
conceptualism
molecularity
psychosexuality

OEUIA

OIAEU

OIAUE

OIEAU

OIEUA

OIUAE
continuable
continualness
continuance
contributable
scrobiculate

OIUEA

OUAEI
mouthwatering

OUAIE
boundaries
commutative
conjugative
consultative
contumacies
copulative
formularize
fountained
gourmandise
grossularite
journalize
modulative
mortuaries
ossuaries
outlandishness
outlawries
outpatient
popularize
tourmaline
voluntaries

OUEAI
counteracting
counterchanging
countercharging
counterclaim
countermanding
countermarching
countershading
counterstain
countervail
documentarily
housemaid
mountebanking
outeating
outleaping
outreaching
outspeaking
outspreading
outwearing

OUEIA

OUIAE
communicate
conduplicate
conglutinate
conjunctivae
outdistance
outrivalled

OUIEA

NB: All words are in (or grammatically derivable from headword entries in) Collins English Dictionary.

Offline

#5 2007-05-07 22:51:12

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Words that contain AEIOU, in any order, each vowel exactly once

UAEIO
quaternion

UAEOI
quaestorship
quatrefoil

UAIEO

UAIOE
glutathione
quadripole
ultraviolet

UAOEI
ultramodernism

UAOIE
guanosine
unaccomplished

UEAIO
cupellation
numeration
putrefaction
rubefaction
ulceration

UEAOI
unreasoning

UEIAO

UEIOA
questionably
unmentionably

UEOAI
nucleoplasmic
undemocratic
undercoating

UEOIA
nucleonically
unmethodical
unrecognizably

UIAEO

UIAOE
undiagnosed

UIEAO
quindecagon

UIEOA
businesswoman
unipersonal

UIOAE

UIOEA

UOAEI
surrogateship

UOAIE
buoyancies
customaries
fluvoxamine
plutocracies
unconstrained
uncontradicted
unobtained
unordained
unorganized
unpolarized

UOEAI
suboceanic
subpoenaing

UOEIA
duodecimal
uncommercial
uncongenial
urogenital

UOIAE
fluoridate
fluorinate
subordinate
uncomplicated
unprofitable
unsociable

UOIEA
subcontinental
uncomplimentary
unnoticeably

NB: All words are in (or grammatically derivable from headword entries in) Collins English Dictionary.

Last edited by JaneFairfax (2009-06-02 23:12:43)

Offline

#6 2007-05-19 04:06:01

mikau
Member
Registered: 2005-08-22
Posts: 1,504

Re: Words that contain AEIOU, in any order, each vowel exactly once

wow!!! who would have thought there were so many?

Now lets see.. how many numbers contain all the digits 0-9?

Just kidding! tongue lol


A logarithm is just a misspelled algorithm.

Offline

#7 2007-05-19 10:36:57

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,713

Re: Words that contain AEIOU, in any order, each vowel exactly once

That is amazing.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#8 2007-05-19 16:02:59

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,385

Re: Words that contain AEIOU, in any order, each vowel exactly once

Mikau, the answer to your question is 9!x9. Thats my guess.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#9 2007-05-19 16:17:54

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

Re: Words that contain AEIOU, in any order, each vowel exactly once

I think it's infinite.


Numbers are the essence of the Universe

Offline

#10 2007-05-19 17:35:19

mikau
Member
Registered: 2005-08-22
Posts: 1,504

Re: Words that contain AEIOU, in any order, each vowel exactly once

ganesh wrote:

Mikau, the answer to your question is 9!x9. Thats my guess.

lol. I'm not sure if you're not getting me or if i'm not getting you but anyway, I was kidding becuase there is an infinite set of numbers that contain all nine digits.

like the set of integers + .0123456789

smile


A logarithm is just a misspelled algorithm.

Offline

#11 2007-05-19 17:45:19

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,713

Re: Words that contain AEIOU, in any order, each vowel exactly once

But Jane's example contains each vowel only once, so it is interesting question with each digit only once.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#12 2007-05-20 05:46:38

mikau
Member
Registered: 2005-08-22
Posts: 1,504

Re: Words that contain AEIOU, in any order, each vowel exactly once

OOooh. Hehe! I accidently came up with something.


Hmm... wouldn't that just be every permutation of the digits 0-9   multiplied by as many places you can put the decimal? Maybe thats where ganesh came up with 9!x9. hehe!


A logarithm is just a misspelled algorithm.

Offline

#13 2007-05-20 06:06:43

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Words that contain AEIOU, in any order, each vowel exactly once

Ganesh was calculating the total number of 10-digit integers which use each of the digits 0–9 exactly once – i.e. the total number of permutations of 0–9 without the 0 coming first. That’s 10! − 9! = 10×9! − 9! = 9!×(10 − 1) = 9!×9.

Last edited by JaneFairfax (2007-05-20 06:07:14)

Offline

#14 2007-05-20 06:45:03

mikau
Member
Registered: 2005-08-22
Posts: 1,504

Re: Words that contain AEIOU, in any order, each vowel exactly once

hmm...

so what if we consider that you can put a decimal place either before the first digit, or after the last digit.

the only time it would be ok to start with 0 would be if 0 came right before the decimal point,  as in 0.123456789 or imediatly after, as in .0123456789


A logarithm is just a misspelled algorithm.

Offline

#15 2007-06-06 18:55:43

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Words that contain AEIOU, in any order, each vowel exactly once

A word on the words above. They are all from Collins English Dictionary (either listed as entry words or grammatical derivations from entry words therein). There are plenty of other “omnivocalic” words not listed in the dictionary I use, such as

gastrocnemius (a muscle in the leg)

(This word was mentioned in one of the semifinals in the previous series of “University Challenge”.) I have also left out proper nouns such as

Mozambique

Offline

#16 2007-06-08 15:08:13

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

Re: Words that contain AEIOU, in any order, each vowel exactly once

Mountain Dew


igloo myrtilles fourmis

Offline

#17 2010-03-23 09:21:56

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Words that contain AEIOU, in any order, each vowel exactly once

Thanks to last night’s “University Challenge”, I have found a new word for UOAIE: unsportsmanlike. Cheering.gif

The programme also mentions the word “unimportance” for UIOAE. Unfortunately, this word is not in my Collins English Dictionary. (“Unimportant” is in there but not the noun.) sad

Offline

#18 2010-03-23 10:46:44

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,713

Re: Words that contain AEIOU, in any order, each vowel exactly once

But what a curious compliment it would make: "Truly your unimportance has been exaggerated!"


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#19 2010-03-24 09:29:36

quittyqat
Member
Registered: 2009-04-08
Posts: 1,215

Re: Words that contain AEIOU, in any order, each vowel exactly once

I couldn't bear to decapitalize and check this, but...


I'll be here at least once every decade.

Offline

#20 2012-06-01 22:40:49

Sylvia104
Banned
Registered: 2011-09-19
Posts: 29

Re: Words that contain AEIOU, in any order, each vowel exactly once

JaneFairfax wrote:

IAEOU
dichlamydeous
filamentous
intravenous
ligamentous
micaceous

diadelphous

Offline

#21 2012-06-01 22:56:04

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: Words that contain AEIOU, in any order, each vowel exactly once

JaneFairfax wrote:

Thanks to last night’s “University Challenge”, I have found a new word for UOAIE: unsportsmanlike. http://i41.photobucket.com/albums/e271/ … eering.gif

The programme also mentions the word “unimportance” for UIOAE. Unfortunately, this word is not in my Collins English Dictionary. (“Unimportant” is in there but not the noun.) sad

Isn't unimportance a grammatical derivative of the word unimportant?


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline

#22 2012-06-02 00:20:22

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Words that contain AEIOU, in any order, each vowel exactly once

Hi;

There is also

intravenously
limaceous
vitaceous


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#23 2012-07-14 20:32:43

Sylvia104
Banned
Registered: 2011-09-19
Posts: 29

Re: Words that contain AEIOU, in any order, each vowel exactly once

JaneFairfax wrote:

AEOIU
archegonium
pandemonium
praseodymium

appressorium

Offline

#24 2012-07-14 23:49:44

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 4,876

Re: Words that contain AEIOU, in any order, each vowel exactly once

Hi stefy,

According to the Collins Scrabble Checker, the noun "unimportance" is a valid word allowed in Scrabble play.


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

#25 2012-07-15 00:11:26

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Words that contain AEIOU, in any order, each vowel exactly once

AOIUE

appropinque


IEOUA

dibenzofuran
dibenzofurans
intercolumnar
intercommunal
interlobular
interocular
interosculant

UEOIA

questorial
superdominant
superdominants
superordinal
superordinary
supersonically
suspensoria
suspensorial
unheroical
unheroically
unrecognisably
unreconcilably
unrhetorical


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

Board footer

Powered by FluxBB