transformation for reverse order of a written word
Source: Spanish Mathematical Olympiad 1979 P2
December 23, 2022
combinatoricsgeometric transformation
Problem Statement
A certain Oxford professor, assigned to espionage cryptography services British, role played by Dirk Bogarde in a film, recruits his proposing small attention exercises, such as mentally reading a word the other way around. Frequently he does it with his own name: , what will there be to read .
He wonders if there is any movement of the plane or of space that transforms one of these words in the other, just as they appear written. And if it had been called , like a certain Unamuno character? Give a reasoned explanation for each answer.