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doubling of the cube

created by Thomas Miconi

(idea) by Thomas Miconi (4.8 y) (print)   ?   (I like it!) Sat Nov 13 1999 at 14:27:42

Given a cube, find another cube which is twice as large, with nothing more than a compass and a straight-edge. One of the three geometric problems of antiquity.

(idea) by iain (5.5 y) (print)   ?   (I like it!) 1 C! Sat Jul 15 2000 at 7:39:45

This classical mathematical problem is sometimes called the Delian problem, as it was originally set by the oracle of Delios in the 5th Century BC. The Delians were instructed that, in order to rid themselves of a plague, they must double the altar of their god -- its shape being a perfect cube. The problem exercised many mathematicians over the next two and a half millennia, but only in the 19th Century was it proved to be impossible, using the newly-developed mathematical techniques of group theory.

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chaos

The three geometric problems of antiquity group theory Rubik's Cube doubling cube
Squaring the circle trisection of the angle transcendental number cissoid of Diocles
Kampyle of Exodus Euler Eratosthenes Cube
UL Alfred Tarski Gloaming Gleaming the Cube
doubling strategy Doubling harmonic mean Rejected
How to trisect a line mathematics
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