matematicas visuales visual math
Resources: Acona Biconbi, designed by Bruno Munari

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.

Bruno Munari, Acona Biconbi: | matematicasVisuales

You can download and print this template:

Taller Talento Matemático Zaragoza: desarrollo del cubo para descargar, download cube | matematicasVisuales

We can combine this design with Fred Bassetti's technique of building polyhedra using rubberbands to make more ephemeral structures with reusable modules.

Resources: How to build polyhedra using paper and rubber bands
A very simple technique to build complex and colorful polyhedra.

Taller Talento Matemático Zaragoza: desarrollo del cubo para descargar, download cube | matematicasVisuales

Bruno Munari, Acona Biconbi: | matematicasVisuales
Bruno Munari, Acona Biconbi: | matematicasVisuales

Our first example is an icosahedron:

Bruno Munari, Acona Biconbi: | matematicasVisuales
Bruno Munari, Acona Biconbi: | matematicasVisuales

Duality: icosahedron and dodecahedron are dual polyhedra:

Bruno Munari, Acona Biconbi: | matematicasVisuales

More polyhedra: tetrahedron and octahedron:

Bruno Munari, Acona Biconbi: | matematicasVisuales

Snub cube:

Bruno Munari, Acona Biconbi: | matematicasVisuales

And more:

Bruno Munari, Acona Biconbi: | matematicasVisuales
Bruno Munari, Acona Biconbi: | matematicasVisuales
Bruno Munari, Acona Biconbi: | matematicasVisuales
Bruno Munari, Acona Biconbi: | matematicasVisuales
Bruno Munari, Acona Biconbi: | matematicasVisuales

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

Resources: Building polyhedra gluing faces
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!
Resources: The golden rectangle and the icosahedron
With three golden rectangles you can build an icosahedron.
Resources: Building Polyhedra with cardboard (Plane Nets)
Using cardboard you can draw plane nets and build polyhedra.
Resources: Modular Origami
Modular Origami is a nice technique to build polyhedra.
Resources: Building polyhedra using tubes
Examples of polyhedra built using tubes.
Resources: Tensegrity
Examples of polyhedra built using tensegrity.
Resources: Building polyhedra using Zome
Examples of polyhedra built using Zome.
Building polyhedra. Basic techniques: Taller de Talento Matemático de Zaragoza (Spanish)
Material for a sesion about polyhedra (Zaragoza, 13th Abril 2012).
Construcción de poliedros. Cuboctaedro y dodecaedro rómbico: Taller de Talento Matemático de Zaragoza 2014 (Spanish)
Material for a sesion 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.
Cube, octahedron, tetrahedron and other polyhedra: Taller de Talento Matemático Zaragoza,Spain, 2014-2015 (Spanish)
Material for a sesion 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.
Duality: cube and octahedron. Taller de Talento Matemático de Zaragoza, Spain. 2015-2016 XII edition (Spanish)
Material for a sesion about polyhedra (Zaragoza, 23rd Octuber 2015) . Building a cube with cardboard and an origami octahedron.
The Cuboctahedron and the truncated octahedron. Taller de Talento Matemático de Zaragoza, Spain. 2016-2017 XIII edition (Spanish)
Material for a sesion about polyhedra (Zaragoza, 21st October 2016). Instructions to build several geometric bodies.
The icosahedron and its volume
The twelve vertices of an icosahedron lie in three golden rectangles. Then we can calculate the volume of an icosahedron
The volume of the tetrahedron
The volume of a tetrahedron is one third of the prism that contains it.
Plane developments of geometric bodies: Tetrahedron
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 .
Regular dodecahedron
Some properties of this platonic solid and how it is related to the golden ratio. Constructing dodecahedra using different techniques.
Plane developments of geometric bodies: Dodecahedron
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 .
Plane developments of geometric bodies: Octahedron
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 .
Plane developments of geometric bodies: Tetrahedron
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 .