007 Mathart - Platonic Solids - Octahedron 01 - 10 cm 3D print model

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007 Mathart - Platonic Solids - Octahedron 01 - 10 cm A solid body in three dimensions has a fixed volume and shape known as a polyhedron that appears regularly or uniformly all around its outside. Polyhedra like the ones being talked about have the exact same kind of angles everywhere at their edges. It gets interesting when you combine multiple of these to make something called solids that also match certain key traits: the shapes must fit exactly together on all sides and form a consistent number at every one single vertex, which then gives rise to only five such distinct types including - Tetrahedron (Four-sided), Cube or six sided faces combined in perfect square like harmony as 2 sets of squares touching at center, Icosahedron or twelve flat identical faces surrounding all inner points completely. An Octahedron stands out among others with Eight precise sides that can touch from every direction because it perfectly meets both requirements - regular angles along entire surface area plus uniform arrangement everywhere you see which happens due mostly because when six such smaller hexagons neatly fit onto an internal axis each connecting two corners they not only share no empty space at borders but look quite consistent on inside where all lines and corners intersect creating very efficient overall pattern of connections making six vertices.