# What is a Variadic Word™?

This is in the spirit of the What is a Word/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles.

If a word conforms to a special rule, I call it a Variadic Word™.

Use the following examples below to find the rule.

DAYDREAM NIGHTMARE
LIABLE RESPONSIBLE
ANDROID APPLE
INDIAN ATLANTIC
BRAINSTORM THINK
STYMIE HINDER
PRECIOUSLY VALUABLY
CENTRIOLE VACUOLE
BASSOON HARPSICHORD
PENGUIN HIPPOPOTAMUS
FARBAUTI SUTTUNGR
EXCEEDING SURPASSING
STREAKING SMUDGING

And, if you want to analyze, here is a CSV version:

Variadic Words™,Not Variadic Words™
DAYDREAM,NIGHTMARE
LIABLE,RESPONSIBLE
ANDROID,APPLE
INDIAN,ATLANTIC
BRAINSTORM,THINK
STYMIE,HINDER
PRECIOUSLY,VALUABLY
CENTRIOLE,VACUOLE
BASSOON,HARPSICHORD
PENGUIN,HIPPOPOTAMUS
FARBAUTI,SUTTUNGR
EXCEEDING,SURPASSING
STREAKING,SMUDGING


Because this seems to be more difficult than expected:

Hint:

Consider vowels vs. consonants

• Just to help out, variadic in computer science refers to functions that take a variable (e.g. not explicitly restrictive, upto technically infinite) number of arguments. Aug 26, 2016 at 20:03
• If we suggest a rule that fits the current set of words but is incorrect by your solution, will you give us another pair of words that disproves the proposed solution? Aug 28, 2016 at 3:33
• @Bulldogg6404 Post it as an answer. Also keep in mind the name of the puzzle is a hint (either way, is like to see your answer, even if it doesn't work with the name). Aug 28, 2016 at 3:47
• I don't have a concise answer yet. I'm just curious if you'll just say "No that's incorrect," or if you'd be willing to provide additional information to disprove a given answer and guarantee only one solution (or at least a simpler solution) to the puzzle. Aug 28, 2016 at 3:52
• The words in the (image) table here are mixed-case (capital at start, then lowercase) whereas the words in the CSV are all uppercase. I know that sometimes these puzzles turn on the shapes of letters; erdekhayser, would you care to state (or deny) explicitly that the upper/lower distinction makes no difference to whether something is a Variadic Word (tm) ? Aug 30, 2016 at 12:43

A Variadic Word is one where no consecutive group of vowels has the same number of characters, and no consecutive group of consonants has the same number of characters.

For instance: "Brainstorm" can be separated into
BR AI NST O RM,
then
Vowels:(AI, O) and Consonants:(BR, NST, RM)
This gives counts of
Vowels:(2,1) and Consonants(2,3,2).
Since no consecutive number repeats, it is Variadic.

More Examples:

LIABLE V:(2,1) C:(1,2)
ANDROID V:(1,2) C:(3,1)
PRECIOUSLY V:(1,3,1) C:(2,1,2)
EXCEEDING V:(1,2,1) C:(2,1,2)

NIGHTMARE V:(1,1,1) C:(1,4,1)
RESPONSIBLE V:(1,1,1,1) C:(1,2,2,2)
APPLE V:(1,1) C:(3)
VALUABLY V:(1,2,1) C:(1,1,2)

Note:

This assumes the 'Y' in Daydream is treated as a consonant

Have groups of 1..n vowels and 1..n consonants, where n is at least 2.

Skips some value for the numbers of vowels or consonants, or doesn't reach 2.

Examples!

Vowels: 'o', 'ea'.
Consonants: 'h', 'ck', 'dst'.

Vowels: 'a', 'ea'. (Note we don't count Y as a vowel here)
Consonants: 'd', 'dr'. (Note we don't count Y as a consonant here)

Vowels: 'e'. (Doesn't reach 2)
Consonants: 'r', 'sp'.

Vowels: 'e', 'oa'.
Consonants: 'fr'. (1 is skipped)

Vowels: 'i'. (Doesn't reach 2)
Consonants: 'n', 'ghtm'. (2 and 3 are skipped)

• This is really thinking in the right direction. You should be counting the Y as either a consonant or a vowel, however (but not both!). Aug 31, 2016 at 14:51
• Darn! Also, I now see that 'valuably' would be variadic under my rules. Aug 31, 2016 at 14:56

Two vowels right next to each other

Example:

Daydream
Liable
Android
Indian
Brainstorm
Stymie
Preciously
Centriole
• Note that Fretboard, Valuably, and Vacuole are not Variadic. Aug 31, 2016 at 3:48