フェルト語とは何ですか?

This is in the spirit of the
What is a Word/Phrase™
series inaugurated by JLee with his
original
Phrase™
and
Word™
puzzles.

If a phrase adheres to a certain rule, then I call it a Felt
Word™.

下の例を使用してルールを見つけます。

enter image description here

あなたはCSVでそれをしたい場合:

Felt Words™, Non Felt Words™
zit, boil
vex, bother
baby, grandparent
saw, axe
wild, zoo
ordinary, uncanny
violet, blue
urchin, waif
clue, hint

The puzzle relies on the series’ inbuilt assumption, that each
word can be tested for whether it is a Felt Word™ or not on its
own.

ヒント1

Let’s just say Felt Words™ offer their readers a complete
experience.

ベストアンサー

フェルト語は単語です…

… whose Braille representation uses all six dots, that is:
Overlaing all letters yields the full 2×3 retangle. (This is
equivalent to or’ing all the bits with a result of 63.)

(Deusovi already made the connection that”felt” isn’t a fuzzy
material, but refers to the sense of feeling needed to read
Braille. I had tried several things like “A felt word is still a
valid word when mirrored or turned on its head”, but to no avail.
Only the new hint made the penny drop.)

エビデンスセクション:

Felt Words™
zit — ⠵⠊⠞ → ⠿
vex — ⠧⠑⠭ → ⠿
baby — ⠃⠁⠃⠽ → ⠿
saw — ⠎⠁⠺ → ⠿
wild — ⠺⠊⠇⠙ → ⠿
ordinary — ⠕⠗⠙⠊⠝⠁⠗⠽ → ⠿
violet — ⠧⠊⠕⠇⠑⠞ → ⠿
urchin — ⠥⠗⠉⠓⠊⠝ → ⠿
clue — ⠉⠇⠥⠑ → ⠿

Non Felt Words™
boil — ⠃⠕⠊⠇ → ⠟
bother — ⠃⠕⠞⠓⠑⠗ → ⠟
grandparent — ⠛⠗⠁⠝⠙⠏⠁⠗⠑⠝⠞ → ⠟
axe — ⠁⠭⠑ → ⠽
zoo — ⠵⠕⠕ → ⠵
uncanny — ⠥⠝⠉⠁⠝⠝⠽ → ⠽
blue — ⠃⠇⠥⠑ → ⠷
waif — ⠺⠁⠊⠋ → ⠻
hint — ⠓⠊⠝⠞ → ⠟

統計のビット:

I didn’t see the solution earlier, because I (falsely) assumed
that Felt words would be special and therefore rare. A Felt word
must use one of the letters of the third decade (u, v, y, x, z) or
a w. Otherwise, it won’t use the bottom right dot.

The longer a word is, the higher the probability that it uses all
dots. The words in the list are rather short, so the puzzle uses
examples from a range where Felt words are rare. (The outlier is
“grandparent”, which is not Felt, because it doesn’t use any
letters from u to z. I had seen that all Felt words use one of the
letters u to z, but failed to, um, connect the dots.)

Running the Feltness test on a dictionary of English words shows
that the ratio of Felt words increases with word length as
expected:

length    Felt   non F   Felt%

     2     116    1118     9.4
     3    1134    5135    18.1
     4    3834    9708    28.3
     5   10912   16379    40.0
     6   20268   25750    44.0
     7   28494   32400    46.8
     8   35116   34867    50.2
     9   37806   32354    53.9
    10   36142   26943    57.3
    11   30738   20785    59.7
    12   24603   14982    62.2
    13   18461    9875    65.2
    14   12938    6402    66.9
    15    8500    3795    69.1
    16    5295    2071    71.9
    17    3107    1123    73.5
    18    1657     568    74.5
    19     882     277    76.1
    20     434     122    78.1
    21     199      49    80.2
    22      87      22    79.8
    23      35      15    70.0
    24      19       8    70.4

 total  244808  280803    53.4

Overall, the Felt rule seems to divide the words into two halves of
nearly equal size. (That metric isn’t very good, because the short
words are more frequently used than the long words, of course..)
With a list of letter frequencies such as the one on Wikipedia, we can also calculate the
frequency of dots:

      75.1%    49.4%
      49.7%    59.0%
      50.8%     8.4%

残念ながら、…

…「完全にフェルト」の単語はなく、各ドットは一度だけ使用されます。 ” Juju “が近づいてきます:各ドットを正確に2回使用します。

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