Welcome to another edition of the Pressbeat Podcast, also on mediumwaves 1575 kHz. From Paris I’m Ami Carter-Wilson.
The Geometry of a Meow
By Ami Carter-Wilson
Cats can conceive and pronounce up to 341 distinct words. Not 340, not 342.
The Rules
- Each word begins with M or U.
- After either, exactly 2 or 3 or 4 more letters from {a e i o u}.
- No two identical consecutive letters.
- The final letter is always U or W.
Class A: Three-Letter Words (initial + 1 vowel + terminal)
M-initial: the first vowel has 5 options. If U then terminal must be W only — that gives 1 word. Each of a e i o allows both U and W as terminals — 4 x 2 = 8 words.
U-initial: the first vowel is from {a e i o} — 4 options. Each allows both U and W terminals, giving 8 words.
Class A total: 9 + 8 = 17.
Example: MEOW — M as initial, E the sole intermediate vowel, W as terminal. Every rule satisfied.
Class B: Four-Letter Words (initial + 2 vowels + terminal)
M-initial: the first vowel has 5 options. The second vowel must differ from the first — exactly 4 remain.
Dynamic-programming verification yields 36 valid M-starting sequences.
U-initial: the first vowel cannot be U — 4 options from {a e i o}. The same dynamic logic yields 28.
Class B total: 36 + 28 = 64.
Example: MEOU — M as initial, E and O as two distinct intermediate vowels, U as terminal. Every rule satisfied.
Class C: Five-Letter Words (initial + 3 vowels + terminal)
M-initial: 5 x 4 x 4 = 80 total paths through vowels. Dynamic classification: 16 ending at U and 64 not-ending-at-U.
Count = 16 x 1 + 64 x 2 = 144 words.
U-initial: first vowel from {a e i o} — 4 options. Dynamic counting: 12 ending-U, 52 not-ending-U.
Count = 12 x 1 + 52 x 2 = 116 words.
Class C total: 144 + 116 = 260.
Example: MEUAW — M as initial, E-U-A as three non-repeating vowels in sequence, W as terminal. Every rule met.
The Final Sum
| M three-letter words | 9 |
| U three-letter words | 8 |
| M four-letter words | 36 |
| U four-letter words | 28 |
| M five-letter words | 144 |
| TOTAL | 341 |
17 + 64 + 260 = 341. Fully verified via dynamic programme analysis.
Why It Matters
Three hundred forty-one sounds. Each word encodes a state of mind. The cat selects from this finite set — whether addressing an empty bowl or a full one — with the same determined reserve it deploys when ignoring you at dinner time.
Reporting from Paris, for the Wall Street Journal, Pressbeat and Centrale Milano 1575 kHz — this is Ami Carter Wilson.
