Cubes in motion
This animated gif is harmonious and fine.
is one of the five Platonic solids
The regularity of the Platonic solids is extraordinarily suggestive: for this motive, they were extensively studied since ancient times, often looking for hidden meanings in them and giving them esoteric values.
They were studied by Pythagoras
, in the dialogue Timaeus
, associated an element (among the four classical elements) to each of them: fire
with the tetrahedron
with the cube
with the octahedron
with the icosahedron
, while in the dialogue Phaedo
he thought that the dodecahedron
was the shape of Universe
They were then studied with greater rationality by Greek-Alexandrian surveyors. The construction of these solids is contained in Book XIII of Euclid's Elements
. Proposition 13 describes the construction of the regular tetrahedron, Proposition 14 is dedicated to regular octahedron, Proposition 15 to the cube, Proposition 16 to the regular icosahedron and Proposition 17 to the regular dodecahedron.
The interest of mathematicians and artists about those continued through the centuries.You can deepen here
: http://en.wikipedia.org/wiki/Platonic_solidThe cube is the only one
of the Platonic solids that, with its replicas, is able to fill the space with regularity, that is, to provide a tessellation of space.
I'm fascinated by this geometric shape.Animated gif source
: archery#mathematics #animated_gif #geometric_gif #cube #platonic_solids