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Gift of FIFA - polyhedron box

Gift of FIFA

The box geometric shape from a distance resembles a rounded shape, emphasizing the similarity with the ball. But if you look closely, we see clearly expressed square faces and niches in the places of triangular faces.

Gift of FIFA shape net
 
 
As the initial form of the polyhedron, one of the 13 Archimedean solids is chosen - Small rhombicuboctahedron. But not in pure form. The fact is that our box does not have triangular faces, or rather, they are, but are at some depth. This is due to the design feature because it consists of a single shape net.
Gift of FIFA shape net
 To repeat such a construction yourself in the same proportions, you will need a sheet with a 435 x 255 mm (this is even more than a sheet of A3 format 420x297).
The shape net is glued through the three flaps into the tube.
Gift of FIFA shape net   Gift of FIFA shape net
 
Next is assembling the base. And technically, one flap through the slot clings to the other. And similarly assembling the second base.
Gift of FIFA shape net  Gift of FIFA shape net
 
 
Since the shape of the resulting polyhedron has a niche, this cannot be an Archimedean body. We encountered one of these forms in the 7th issue of Magic Edges. The yellow-green polyhedron bears the name of a Small-cubicuboctahedron.
Gift of FIFA shape net
But in our box, the niches are opposite, so the polyhedron is closest in shape to the small rhombic hexahedron.
The dimensions of the box practically coincide with the dimensions of the Small cubicuboctahedron already constructed by us. Hurry up to get yourself such a "sweet souvenir"! The price in Auchan is only $0,5. for 100 grams of candy and a polyhedron with the symbols of the 2018 World Cup in Russia!
 
P.S. With this note, we open a series of articles devoted to the geometric forms of packaging.
 
© polyhedr.com  15/07/2018

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