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Teo tells us about his work in artificial intelligence, his travels around the world, and how inspiration sometimes strikes in the pub.

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Kaprekar’s constant 6174 can be

considered to be a disguised form

of the silver ratio (that is, the

reciprocal of the golden ratio).

Rationale:

There are 9990 4-digit numbers

having at least 2 distinct digits.

The location of Kaprekar’s

constant among them is, to

4 decimal places, the silver

ratio deep among them,

the silver ratio being the

reciprocal of the golden ratio

(not to be confused with

the silver mean, also known

as the silver ratio).

That is to say, 6174/9990 is,

to 4 decimal places, 0.6180.

So, every 4-digit number, at

the beginning of the Kaprekar

process, shouts out “Hi-Yo Silver!”