Euler path words.
If one posits a sans-serif alphabet, the Euler Path letters (ones that can be traced out without lifting pencil from paper) are BCDGIJLMNOPQSUVWZ. Words of Euler Path letters include
One can also construct words with no Euler Path letters, the longest being THEREAFTER.
A strict Euler Path word is one in which one can trace all the letters without lifting pencil from paper and connecting successive letters with horizontal lines: CULM, CULP, ISIS, IWIS, JIMP, MILS, NIMS, NISI, SIMS, SIMP, SWIM, SWIMS, VIMS. WIMP.
The editor points out that Battus, on page hq of Opperlans! (Querido, 2002) has created a more detailed topological classification of the sans serif capital letters, adding endpoints to the mix. Euler Path words consist of the first four groups.
1. no nodes or endpoints: DO
2. no nodes, two endpoints: CGIJLMNSUVWZ
3. one three-node, one endpoint: PQ
4. two three-nodes: B
5. one three-node, three endpoints: EFTY
6. two three-nodes, two endpoints: AR
7. one four-node, four endpoints: KX
8. two three-nodes, four endpoints: H
Battus was unable to find a Dutch word containing one letter from each of his eight groups, so coined POCHBERK. There is an English word, however: BAKESHOP. Longer words containing all groups include HUMPBACKED, PHRASEBOOK, SHIPBROKER, XENOPHOBIA, and TRISKAIDEKAPHOBIA (fear of 13).
St Paul, Minnesota
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|Date:||Nov 1, 2004|
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