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
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
Regular tetrahedron
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A regular tetrahedron is a polyhedron with four equilateral triangular faces.
Stellated octahedron
…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 (Latin for "eight-pointed star"), a name given to it by Johannes Kepler in 1609, though it…
Regular tetrahedron, representing the classical element of fire, sketched by Johannes Kepler.
Kepler's Platonic solid model of the Solar System