Bruno Munari (1907-1998) was an italian artist and designer who conceived 'Acona Biconbi' as a work of sculpture.

'Acona Biconbi' is also a wonderful toy. You can play with colors and shapes and build beautiful polyhedra.
There are unlimited combinations.

Duality: icosahedron and dodecahedron are dual polyhedra:

More polyhedra: tetrahedron and octahedron:

Snub cube:

And more:

REFERENCES

H.S.M. Coxeter - 'Introduction to Geometry', Wyley.

Hilber y Cohn-Vossen - "Geometry and the Imagination", AMS Chelsea Pub.

Magnus Wenninger - 'Polyhedron Models', Cambridge University Press.

H.Martin Cundy and A.P. Rollet, 'Mathematical Models', Oxford University Press, Second Edition, 1961 (p. 87).

MORE LINKS

Using cardboard you can build beautiful polyhedra cutting polygons and glue them toghether. This is a very simple and effective technique. You can download several templates. Then print, cut and glue: very easy!

With three golden rectangles you can build an icosahedron.

Using cardboard you can draw plane nets and build polyhedra.

Modular Origami is a nice technique to build polyhedra.

Examples of polyhedra built using tubes.

Examples of polyhedra built using tensegrity.

Examples of polyhedra built using Zome.

Material for a session about polyhedra (Zaragoza, 13th Abril 2012).

Material for a session about polyhedra (Zaragoza, 9th May 2014). Simple techniques to build polyhedra like the tetrahedron, octahedron, the cuboctahedron and the rhombic dodecahedron. We can build a box that is a rhombic dodecahedron.

Material for a session about polyhedra (Zaragoza, 7th November 2014). We study the octahedron and the tetrahedron and their volumes. The truncated octahedron helps us to this task. We build a cubic box with cardboard and an origami tetrahedron.

Material for a session about polyhedra (Zaragoza, 23rd Octuber 2015) . Building a cube with cardboard and an origami octahedron.

Material for a session about polyhedra (Zaragoza, 21st October 2016). Instructions to build several geometric bodies.

Microarquitectura is a construction game developed by Sara San Gregorio. You can play and build a lot of structures modelled on polyhedra.

The twelve vertices of an icosahedron lie in three golden rectangles. Then we can calculate the volume of an icosahedron

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

The first drawing of a plane net of a regular tetrahedron was published by Dürer in his book 'Underweysung der Messung' ('Four Books of Measurement'), published in 1525 .

Some properties of this platonic solid and how it is related to the golden ratio. Constructing dodecahedra using different techniques.

The first drawing of a plane net of a regular dodecahedron was published by Dürer in his book 'Underweysung der Messung' ('Four Books of Measurement'), published in 1525 .

The first drawing of a plane net of a regular octahedron was published by Dürer in his book 'Underweysung der Messung' ('Four Books of Measurement'), published in 1525 .

The first drawing of a plane net of a regular tetrahedron was published by Dürer in his book 'Underweysung der Messung' ('Four Books of Measurement'), published in 1525 .