106
FIVE-LETTER
WORD
PATTERNS
EDWARD
R.
WOLPOW
Brookline,
Massachusetts
Excluding
patterns
with
three
or
more
consecutive
identical
letters,
there
are
41_different
patterns
for
five-letter
words:
abcde
1
pair
aabcd,
abacd,
abcad,
abcda,
baaed,
bacad,
bacda,
bcaad, bcada,
bcdaa
1
triple
aabac,
aabca,
abaac,
abaca,
abcaa,
baaca,
bacaa
1
quad
aabaa
2
pairs
aabbc,
aabcb,
aacbb,
ababc,
abacb,
acabb,
abbac,
abcab,
acbab,
abbca,
abcba, acbba,
caabb,
cabab,
cabba
1
pair,
aabab, aabba,
abaab, ababa,
abbaa,
baaba,
babaa
1
triple
Words
cor
responding
to
most
of
these
patterns
can
be
readily
found
in
unabridged
dictionaries
or
gazetteers;
in
fact,
there
are
thousands
of
examples
for
some
patterns.
In
this
article,
I
illustrate
each
pattern
with
a
set
of
words
exhibiting
all
pas
sible
alphabetic
permutations.
For
example,
the
pattern
abc
can
be
illustrated
with
the
six
words
can
(213),
you
(312),
dig
(132),
for
(123),
the
(321)
and
nub
(231),
where
the
three-
digit
sequences
indicate
the
alphabetic
order
of
the
letters.
In
the
November
1978
Word
Ways,
the
edito
r
gave
a
list
of
120
words
showing
all
alphabetic
permutations
of
words
with
the
pattern
abcde;
I
extend
this
study
to
the
other
40
patterns
in
the
tables
below.
In
each
table.
the
column
at
the
fa
r
left
specifie
s
the
permutation
of
the
letters.
For
example,
the
third
permutation,
1324,
states
that
for
all
words
in
this
row
the
a-letter
in
the
pattern
must
be
earliest
in
the
alphabet,
followed
by
the
c-letter
in
the
pattern.
followed
by
the
b-
letter
in
the
pattern,
followed
by
the
d-letter
in
the
pattern.
In
the
second
column,
for
example,
the
basic
patte
rn
of
all
the
war
ds
is
abacd.
The
word
every
has
the
pattern
abacd
and
the
alphabetic
per-
mutation
1324;
e
(the
a-letter)
comes
before
r
(the
c-letter)
,
which
in
turn
comes
before
v
(the
b-letter)
,
and
the
latest
letter
is
y
(the
d-
letter).
Most
words
can
be
found
in
the
Second
or
Third
Editions
of
Webste
r I s
New
International
Dictionary
of
the
English
Language,
or
are
inferred
forms
such
as
plurals
of
nouns;
words
labeled
*
are
in
the
OED,
and
proper
name
s
labeled
§
are
in
the
Time
s
Index-
Gazetteer.
My
thanks
to
the
edito
r
for
various
additions
and
improvements
to
the
table
s .
12
12
13
13
14
14
21
21
23
23
24
24
31
31
32
32
3
L
3
L
4:
4.
4;
4;
4:
4
L
1;
1:
1:
1,
1'
2
2
2
2
2
2
3
3
3
3
3
3
4
4
4
4
4
4
107
abcd
aabcd
abacd
abcad
abcda
baacd
1234
1243
1324
Aalst§
Aache§
eemis
again
abase
every
chick
enter
areas
elope
elute
elite
feels
meets
oddly
1342
ootus
*
Bible
clock
dined
raash
1423
llyns
event
click
going
weeks
1432
Aaron
aware
crock
aroma
weets
2134
llano
memos
eager
harsh
allow
2143
oonts
lilts
catch
kapok
boots
~tical
lette
r s ,
2314
2341
ootby
Ccoya
eject
emend
pulpy
circa
elate
loyal
needs
sooth
2413
oozes
cycad
crack
evase
upper
bacda,
2431
3124
3142
Ootsa§
oobit
kukri
paper
icing
gunge
palps
sayso
hutch
sinus
hatch
toosh
books
annul
bacaa
3214
oones*
piper
olios
polyp
looks
3241
oomph
rerub
truth
river
issue
abbac,
bb,
cabab,
3412
3421
4123
oopak
ootid
tutor
ozone
sasin
stash
iodi.c
ladle
steps
local
label
utter
zooid
atter
babaa
4132
V-
vats
gaged
valve
sales
apple
4213
ooman
sisal
uncut
signs
otter
dily
found
in
housands
of
4231
4312
4321
Ooike
§
oolak
oolie*
title
total
tithe
torte
spasm
trite
legal
sides
treat
goold
mooch
moola
~ach
patte
rn
~utations
.
bacad
bacda
bcaad
bcada
bcdaa
lix
words
can
(231)
,
where
the
letters.
If
120
words
:ern
abc
de;
I
ow.
1234
1243
1324
1342
1423
1432
leper
never
cabal
seven
visit
watap
balsa
karma
serve
parka
tense
panda
hobby
green
jiffy
queen
trees
troop
guava
drama
plaza
stele
there
sided
stuff
puree
snuff
stiff
three
skiff
~ermutation
state
s
that
be
ea
rlie
st
in
wed
by
the
b-
'n.
In
the
\'i'ords
is
~abetic
per-
er)
,
which
r
is
y
(the
d-
Editions
of
nguage,
or
ed *
are
in
the
Gazetteer.
2134
2143
2314
2341
2413
2431
3124
3142
3214
3241
3412
3421
4123
4132
defer
civil
robot
livid
seder
timid
color
boron
logos
inone
solon
wolof
lupus
cutup
known
belie
leave
fence
un
ton
which
conto
dryer
strut
stunt
peace
urger
gypsy
crier
fully
creep
shoot
stood
walls
speed
floor
bleed
happy
myrrh
gaffe
senna
fuzzy
blood
ameve
crepe
nabob
grebe
scene
piece
costs
alibi
Jesus
muses
vases
vises
desks
dryly
bluff
atoll
scuff
still
saree
small
abyss
fr
ill
idyll
guess
radii
shall
floss
dress
ovements
4213
4231
Jugum
goloe
jocko
briar
lasso
flood
basis
motet
igloo
class
4312
state
order
passe
shyly
phoss
4321
stote
ileal
pizza
wryly
plass