Stellation
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In geometry, stellation is the process of extending a polygon in two dimensions, a polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure. Starting with an ori
Magnus Wenninger with some of his models of stellated polyhedra in 2009
Marble floor mosaic by Paolo Uccello, Basilica of St Mark, Venice, c. 1430
Stellated octahedron
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The stellated octahedron, elevated octahedron, or compound of two tetrahedra is a shape made from two regular tetrahedra crossing each other. It is also called the stella octangula, a name given to it
Stellation
…dodecahedron and the regular icosahedron to obtain the great stellated dodecahedron. He also (face-) stellated the regular octahedron to obtain the stella octangula, a regular compound of two tetrahedra. Stellating a regular polygon symmetrically creates a regular star polygon or polygonal compound. These polygons…
Luca Pacioli 1509's Divina proportione introduced the concept of the elevation by attaching pyramids to an octahedron
A stellated octahedron in Perspectiva corporum regularium (1568)
Gérard Douffet, Pope Nicholas V's visit to the tomb of Saint Francis of Assisi (1627)
One of the stellated octahedra in the Plaza de Europa, Zaragoza, Spain