The most famous impossible problem from Greek antiquity is The Delian problem.
What is Greek antiquity?
The Greek difficulties of antiquity were a collection of geometric issues, and the only tools available to solve them were a compass and a straightedge. The only problems are:
- Duplication of cubes.
- angle trisection
- squaring of circles
Solution:
The Delian problem, doubling the cube, is considered one of the most famous impossible problems from Greek antiquity. Two others are the trisection of the general angle and squaring of a circle(also a famous problem)
Whereas the other options like the Koch curve, bisecting any angle and playfair's axiom is known for its possibilities.
Hence the Delian problem is the most famous impossible problem from Greek antiquity.
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