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Snub cube

Snub cube

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 semiregular 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.

Archimedes

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. Still, 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 (rotation counter-clockwise) and a twist to the right (rotation clockwise).

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.
 

 

Polyhedron shape net, twisted to the right

 
net Snub cube right 1
net_Snub_cube

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

Download shape net sheet 1

Download shape 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 color nets of a flat-cube cube.
 
Download shape net sheet 1
 

Download shape net sheet 2

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

net Snub cube
net Snub cube

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

 

Polyhedron shape net, twisted to the left

 

net Snub cube left 1
net Snub cube

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

Download shape net sheet 1

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

 

net Snub cube left col1
net Snub cube

If you are using a color printer, we suggest downloading a snub cube's color net.
 
Download shape net sheet 1
 

Download shape net sheet 2

 

Video. Build a polyhedron from a single net

This video from our partners, the ART KOSEKOMA team, clearly demonstrates how the pattern is converted into a geometric shape:

 

Snub cube from the set "Magic Edges"

archimedean polyhedra 29

To assemble polyhedra, we can offer you ready-made patterns that are cut and folded.
To do this, you need to use the details of the set Magic Edges 29.

Also, in the release itself, you will find information about the structure of the polyhedron.
 
The rotation of the finished polyhedron assembled from these parts:
 
Detailed assembly from Andrei Lomakin (youtube channel - Sekretmastera Papercrafts)
 

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