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Drawing of an stellated octahedron stella octangula made to Luca Pacioli’s De divina proportione.

Drawing of a dodecahedron made to Luca Pacioli’s De divina proportione. When you truncate a cube packoli get a truncated cube and a cuboctahedron. Here we can see an adaptation of the stellated octahedron stella octangula. One eighth of a regular dodecahedon of edge 2 has the same volume as a dodecahedron of edge 1. The volume of a truncated octahedron The truncated octahedron is an Archimedean solid.

It has 8 regular hexagonal faces and 6 square faces. The cube tesselate the space an so do the truncated octahedron.

Truncations of the cube and octahedron When you truncate a cube you get a truncated cube and a cuboctahedron. A cuboctahedron is an Archimedean solid.

The volume of a tetrahedron is one third of the prism that contains it.

Hexagonal section of a cube We can cut in half a cube by a plane and get a section that is a regular hexagon. Volume of an octahedron The volume of an octahedron is four times the volume of a tetrahedron.

The truncated octahedron is a space-filling polyhedron These polyhedra pack together to fill space, forming a 3 dimensional space tessellation or tilling. Here we can see an adaptation of the dodecahedron. You can chamfer a cube and then you get a polyhedron similar but not equal to a truncated octahedron. The volume of the tetrahedron. Here we can see an adaptation of the pdoporcion. If you truncate an octahedron you get a truncated octahedron and a cuboctahedron.

When you truncate divinna cube you get a truncated cube and a cuboctahedron.

The truncated octahedron is a space-filling polyhedron. Truncations of the cube and octahedron When you truncate a cube you get a truncated cube and a cuboctahedron. The volume paciolj the tetrahedron The volume of a tetrahedron is one third of the prism that contains it. Drawing of a dodecahedron made to Luca Pacioli’s De divina proportione. Here we can see an adaptation of the Campanus’ sphere. The truncated tetrahedron is an Archimedean solid made by 4 triangles and 4 hexagons.

The volume of the tetrahedron The volume of a tetrahedron is one third of the prism that contains it. A truncated octahedron made by eight half cubes.

A hundred years later, Kepler named it pacikli octangula. Drawing of an stellated octahedron stella octangula made to Luca Pacioli’s De divina proportione. Image used with permission of Editorial Akal. Volume of a regular dodecahedron. 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.

Swetz’s article in MathDl, Loci: It is the same to say that the cuboctahedron is the solid common to the cube and the octahedron in this polyhedron. It can be seen as made by cutting off the corners of a cube.

### La Divina Proporcion by Luca, Pacioli

Chamfered Cube You can chamfer a cube and then you get a polyhedron similar but not equal to a truncated octahedron. Volume of a regular dodecahedron. Chamfered Cube You can chamfer a cube and then you get a polyhedron similar but not equal to a truncated octahedron. Drawing of a rhombicuboctahedron made to Luca Pacioli’s De divina proportione. The volume of a cuboctahedron A cuboctahedron is an Archimedean solid.

## La Divina Proporcion

The truncated octahedron is a space-filling polyhedron These polyhedra pack together to fill space, forming a 3 dimensional space tessellation or tilling. The volume of an stellated octahedron stella octangula The stellated octahedron was drawn by Leonardo for Luca Pacioli’s book ‘De Divina Proportione’.

It can be seen as made by cutting off the corners of an octahedron. You can get also a rhombic dodecahedron.

Volume of an octahedron. The truncated octahedron is an Archimedean solid. These polyhedra pack together to fill space, forming a 3 dimensional space tessellation or tilling. The volume of a tetrahedron is one third of the prism that contains it.

Pacioli wrote about the truncated octahedron Spanish translation: Drawing of a cuboctahedron made to Luca Pacioli’s De divina proportione. It has 8 regular hexagonal faces and 6 square faces. The volume of a cuboctahedron A cuboctahedron is an Archimedean solid. This interactive mathlet is an adaptation of the drawing that Ulca da Vinci made of the truncated octahedron octocedron abscisus vacuus for Luca Pacioli’s book ‘De Divina Proportione’.