Doubling the cube cube involve neusis, the cissoid of Diocles, the conchoid of Nicomedes, or the Philo line. Archytas solved the problem in the 4th century BC using geometric construction in three dimensions, determining a certain point as the intersection of three surfaces of revolution. False claims of doubling the cube with compass and straightedge abound in mathematical crank literature (pseudomathematics). Origami may also be used to construct the cube root of two by folding paper. There is a simple neusis construction using a marked ruler for a length which is the cube root of 2 times another length. Then AG is the
The Carnelian Cube The Carnelian Cube The Carnelian Cube is a fantasy novel by American writers L. Sprague de Camp and Fletcher Pratt. It was first published in hardcover by Gnome Press in 1948, and in paperback by Lancer Books in 1967. An E-book edition was published by Gollancz's SF Gateway imprint on September 29, 2011 as part of a general release of de Camp's works in electronic form. It has also been translated into Italian and German. The carnelian cube of the title is a small red "dream stone" confiscated by archaeologist Arthur Cleveland Finch from Tiridat Ariminian, one of the workers