Finger the digit

Question

Officials acquired two anonymized self texts by the G Gang member known as i, and hope these will help you identify the boss, B.

$\kern166mu$ G = i N t E r M s O f G

$\kern199mu$ . G = i / B . i

Investigators have thus far determined that each gangster (i, N, t, E, r, M, s, O, f and B) must secretly be one of the foremost citizens of Whollywood (0, 1, 2, 3, 4, 5, 6, 7, 8 or 9) and that foul mathplay is surely afoot.

Just which digit do you finger as B?

_{(
No leading zeros in Whollywood.
G is not an 11th digit.
=, . and / are not in disguise.
)}

Not a typo, G is defined in terms of itself (and is not an 11th digit) — humn, Apr 21 '16 at 18:40
Probably G should be some sort of expression starting with digit(s) to match all places where it is. — kamenf, Apr 21 '16 at 19:13
Just to be clear: Every letter except G represents one of the digits from 0 to 9? The =, ., and / represent equality, a decimal point and division, respectively? — GentlePurpleRain, Apr 21 '16 at 20:55
That the symbols represent themselves is now included in the puzzle statement — humn, Apr 22 '16 at 11:07

score 13 · Accepted Answer · edited Apr 21 '16 at 22:14

13

The boss B is

8

Since G is defined in terms of itself, it stands to reason that

G is an infinitely repeating sequence of digits

Since B is missing from G, we can figure that .G is

$.G = 1 / 8.1 =\ .\overline{123456790}$

(Could be figured out via fractions of repeated 9s, as in: 1/9=.111..., 12/99=.121212..., 475/999=.475475475..., iNtErMsOf/999999999 = .iNtErMsOf iNtErMsOf iNtErMsOf .... The divisors of 999999999 are easy because it is so divisible by 3: 999999999=3×3×3×3×12345679.)

and G is then

$\overline{123456790}$

edited Apr 21 '16 at 22:14

humn

21,899
4
60
161

answered Apr 21 '16 at 20:51

Will

13,917
3
58
89

Very clever! I was wondering if G could be $\infty$, but I didn't see how $.\infty$ made any sense. – GentlePurpleRain Apr 21 '16 at 21:02
2

This video may be of interest to readers. – Will Apr 21 '16 at 21:10

Finger the digit

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