# 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.

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. – Avik Mohan Aug 26 '16 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? – Bulldogg6404 Aug 28 '16 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). – erdekhayser Aug 28 '16 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. – Bulldogg6404 Aug 28 '16 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) ? – Gareth McCaughan Aug 30 '16 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!). – erdekhayser Aug 31 '16 at 14:51
• Darn! Also, I now see that 'valuably' would be variadic under my rules. – Phlarx Aug 31 '16 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. – erdekhayser Aug 31 '16 at 3:48