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Snub cube

Snub cube 350

The polyhedron is obtained by successively cutting off each of the vertices of a truncated cuboctahedron (for more detail, No. 29 of the Magic Faces).

The snub cube is a semi-regular convex polyhedron with two properties:
1. All faces are regular polygons of two types - a triangle and a square;
2. For any pair of vertices, there is a symmetry of the polyhedron (that is, a motion that translates the polyhedron into itself) that transforms one vertex to another.

Архимед

The snub cube is one of the 13 solids of Archimedes.

Archimedean solids are semiregular polyhedra in the sense that their faces are regular polygons, but they are not the same, while the condition of one of the types of spatial symmetry: tetrahedral, octahedral or icosahedral is preserved.

 

The polyhedron can be made in one of the other options - a flat-cube with a twist to the left and a twist to the right.

snub cube twisted to the left

snub cube twisted to the left

snub cube twisted to the right

snub cube twisted to the right

 
Video. Rotation of a polyhedron, twisted to the right.
 

Net polyhedron, twisted to the right

 
net Snub cube right 1
развертка плосконосого куба

To assemble a snub cube twisted to the left, you need to print two scans on A4 sheets.

Download net sheet 1.

Download net sheet 2.
For printing, you can use both white and colored paper.

 
net Snub cube right col1
snub cub right col2

If you are using a color printer, then we suggest downloading a color scan of a flat-cube cube.
 
Download net sheet 1.
 

Download net sheet 2.

We connect two parts of the net into a single net as shown in the figure:

ris1
плосконосый куб

Next, we glue the unfolding and obtain a snub cube.

Net polyhedron, twisted to the left

 

net Snub cube left 1
развертка плосконосого куба

To assemble a right-twisted snub cube, you will need to print two nets on A4 sheets.

Download net sheet 1.

Download net sheet 2.
For printing, you can use both white and colored paper.

 

net Snub cube left col1
развертка плосконосого куба

If you are using a color printer, then we suggest downloading a color net of a snub cube.
 
Download net sheet 1.
 

Download net sheet 2.

Video. Build a polyhedron from a single net

 

Video from our partners - the team "ART KOSEKOMA", clearly demonstrates how the net is converted into a geometric shape:

 

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