Similar to the two-dimensional case of the Chladni plate, the Platonic Solids are simply representations of waveforms in three dimensions. Each tip or vertex of the Platonic Solids touches the surface of a sphere in an area where the vibrations have canceled out to form a node. Thus, what we are seeing is a three-dimensional geometric image of vibration / pulsation within a sphere.
In three dimensional spaces, there are ONLY FIVE natural frequency modes for spherical EM standing wave, resulting in the formation of the five Platonic solids shown below. Each platonic would be perceived as the formation of a stable form of matter, anything in between will tend to be unstable, and will degrade to its nearest stable form, giving off its extra elements as EM energy, with radioactive elements being such an example."Each shape can be attached to a multiple number of the same shape or other platonic shape to generate a bigger platonic solid or even a non platonic one, as happens during generation of crystals. In a way, one may regard a crystal lattice structure as a picture of the mechanism within the atom itself. So as you see, this theory works well at quantum level as well as at molecular level, which makes it unique."
Euclid was the one who proved that there are only five platonic solids.
Because 6 platonic solids would be too many, and 4 wouldn't be enough
We don't know for certain who discovered the platonic solids first. However, Pythagoras is credited by some sources as discovering the platonic solids first. Other sources credit Theaetetus as being the first to describe all five platonic solids and proving that these are the *only* platonic solids.
You probably mean the Platonic Solids, they are the only five shapes constructed from the same faces.
No. There are only five Platonic Solids; Tetrahedron, Hexahedron, Octahedron, Dodecahedron and Icosahedron, with 4,6,8,12 and 20 faces respectively.
Euclid was the one who proved that there are only five platonic solids.
Because 6 platonic solids would be too many, and 4 wouldn't be enough
Because 6 platonic solids would be too many, and 4 wouldn't be enough
We don't know for certain who discovered the platonic solids first. However, Pythagoras is credited by some sources as discovering the platonic solids first. Other sources credit Theaetetus as being the first to describe all five platonic solids and proving that these are the *only* platonic solids.
A trapezoid is not a platonic solid. There are only five platonic solids. They are the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron.
You probably mean the Platonic Solids, they are the only five shapes constructed from the same faces.
No. There are only five Platonic Solids; Tetrahedron, Hexahedron, Octahedron, Dodecahedron and Icosahedron, with 4,6,8,12 and 20 faces respectively.
Regular: and there are only five of them. They are also knows as the platonic solids.
it wouldn't really make much sense if there were only 4 or 6.
The Name Platonic solid Comes from Plato the second main reseacher of the five solids. Pythagoras was the one discovered the platonic solids
Yes. The five platonic solids are the only regular three dimensional shapes: Cube, Tetrahedron, Octahedron, Icosahedron, and Dodecahedron
A cube is the only platonic solid which is a prism.