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Swetz’s article in MathDl, Loci: A cuboctahedron is an Archimedean solid. The volume of an stellated octahedron stella octangula. The volume of a truncated octahedron. The truncated octahedron is an Archimedean solid.

It can be seen as made by cutting off the corners of an octahedron. The volume of an stellated octahedron stella octangula.

The volume of a cuboctahedron A cuboctahedron is an Archimedean solid. Leonardo da Vinci’s Polyhedra George Hart’s excellent website about polyhedra. Truncations of the cube and octahedron When you truncate a cube you get a truncated cube and a cuboctahedron. Spanish edition of ‘De divina proportione’. The volume of a cuboctahedron II A cuboctahedron is an Archimedean solid. Hexagonal section of a cube. We can cut in half a cube by a plane and get a section that is a regular hexagon.

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A truncated octahedron made by eight half cubes. The volume of a tetrahedron is one third of the prism that contains it. It has 8 regular hexagonal faces and 6 square faces. A hundred years later, Kepler named it stella octangula. If you truncate an octahedron you get a truncated octahedron and a cuboctahedron.

Truncations of the cube and octahedron. The volume of a cuboctahedron. The volume of a cuboctahedron A cuboctahedron is an Archimedean solid.

You can get also a rhombic dodecahedron. It is easy to calculate and then we can get the volume of a tetrahedron.

La Divina Proporcion by Luca, Pacioli

Drawing lucz a rhombicuboctahedron made to Luca Pacioli’s De divina proportione. The volume of a cuboctahedron II. Volume of an octahedron The volume of an octahedron is four times the volume of a tetrahedron. Here we can see an adaptation of the rhombicuboctahedron. Y este cuerpo se origina del cubo mediante el corte uniforme en la mitad de sus lados, como demuestra de modo evidente su propia forma material.

This interactive mathlet is an adaptation of the drawing that Leonardo da Lw made of the cuboctahedron exacedron abscisus vacuus for Luca Pacioli’s book ‘De Divina Proportione’.

The volume of a truncated octahedron The truncated octahedron is an Archimedean solid. One eighth of a regular dodecahedon of edge 2 ,a the same volume as a dodecahedron of edge 1.

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La Divina Proporcion

The volume of an stellated octahedron stella octangula Paciopi stellated octahedron was drawn by Leonardo for Luca Pacioli’s book ‘De Divina Proportione’. It has 8 regular hexagonal faces and 6 square faces. Here we can see an adaptation of the truncated tetrahedron. A truncated octahedron made by eight half cubes Using eight half cubes we can make a truncated octahedron.

Here we can see an adaptation of the Campanus’ sphere. Using eight of this pieces we can made a truncated octahedron.

Image used with permission of Editorial Akal. Plane developments of geometric bodies: Swetz’s article in MathDl, Loci: The volume of an stellated octahedron stella octangula The stellated octahedron was drawn by Leonardo for Luca Pacioli’s book ‘De Divina Proportione’. It is pacloli same to say that the cuboctahedron is the solid common to the cube and the octahedron in this polyhedron.