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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.
You can download and print this template:
We can combine this design with Fred Bassetti's technique of building polyhedra using rubberbands to make more ephemeral structures with reusable modules.
A very simple technique to build complex and colorful polyhedra.
Our first example is an icosahedron:
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).
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A very simple technique to build complex and colorful polyhedra.
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Simple technique to build polyhedra gluing discs made of cardboard or paper.
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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.
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 .