Plato gave a healthful stimulus to the study of stereometry [solid geometry], which until his time had been entirely neglected. The sphere and the regular solids had been studied to some extent, but the prism, pyramid, cylinder, and cone were hardly known to exist. All these solids became the subjects of investigation by the Platonic school.
If by this superhuman concentration one succeeded in converting or resolving the two cosmoses with all their complexities into sheer ideas, he would then reach the causal world and stand on the borderline of fusion between mind and matter. There one perceives all created things — solids, liquids, gases, electricity, energy, all beings, gods, men, animals, plants, bacteria — as forms of consciousness, just as a man can close his eyes and realize that he exists, even though his body is invisible to his physical eyes and is present only as an idea.paramahansa yogananda
And my idea is that it is the jarring or vibration through solids, and not the mere sound that affects the snakes.
The regular solids were studied so extensively by the Platonists that they received the name of "Platonic figures." The statement of Proclus that the whole aim of Euclid in writing the Elements was to arrive at the construction of the regular solids, is obviously wrong. The fourteenth and fifteenth books, treating of solid geometry, are apocryphal .
The bodies of which the world is composed are solids, and therefore have three dimensions. Now, three is the most perfect number, it is the first of numbers, for of one we do not speak as a number, of two we say both, but three is the first number of which we say all . Moreover, it has a beginning, a middle, and an end.
By the word 'conoid,' in his book on Conoids and Spheroids, is meant the solid produced by the revolution of a parabola or a hyperbola about its axis. Spheroids are produced by the revolution of an ellipse, and are long or flat, according as the ellipse revolves around the major or minor axis. The book leads up to the cubature of these solids.Florian Cajori