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Tetrahedron:
A Fire ablaze, deep within.
Of four faces -
Equilateral triangles.
Cube:
The roots in Earth.
Evenly even,
With six square faces.
"The symmetrical solids were regarded by Pythagoras as of the greatest importance. To be perfectly symmetrical, or regular, a solid must have an equal number of faces meeting at each of its angles, and these faces must be regular polygons. Pythagoras, perhaps, may be credited with the great discovery that there are only five such solids."
Symbolically,
These solids have significance.
To the Greek mind of the time,
The conclusion was inevitable -
The shapes of the elements:
Air, fire, earth and water,
Possess particles,
Whose shapes are the Pythagorean solids.
Octahedron:
A gale in the Air.
Of eight faces -
Equilateral triangles.
Icosahedron:
The deep, foreboding Waters.
Of twenty faces -
Equilateral triangles.
"The Dodecahedron was, to the ancient mathematicians,
the most mysterious of the solids; it was by far
the most difficult to construct, the accurate
drawing of the regular pentagon necessitating
a rather elaborate application of Pythagoras'
great theorem. Hence the conclusion, as Plato
put it: "the regular Dodecahedron was employed
by the Deity in tracing the plan of the Universe." "
Symbolically,
These solids have significance.
To the Greek mind of the time,
The conclusion was inevitable -
The shapes of the elements:
Air, fire, earth and water,
Possess particles,
Whose shapes are the Pythagorean solids.
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