Figures, shapes and developments.
Figures, shapes and developments. In the figure shows how to build a tangential spheres in space. The centers of the spheres are the vertices of a regular polyhedron and their radii corresponding to half of each edge of the polyhedron.As the regular polyhedron has all have equal sides all have the same diameter spheres and simultaneously are tangent at the midpoint of each edge. The figure shows a regular icosahedron in plan, elevation and profile. At each vertex of the icosahedron is drawn as a sphere radius by taking half of the edge so that all areas are equal and tangent to each other. If the polyhedron is Archimedean and therefore consists of regular polygons but also various regular (equal sides), the spheres have also the same size but remain tangent to one another, maintaining a greater distance between them being a major faces others like shown in this icosidodecahedron given in plan and elevation. To draw tangents exercises spheres whose centers are on the same ...
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