Mike Summers titleDesign
3D Geometric Models  
These pages show some models I have made that explore aspects and characteristics of regular polyhedra.

The model above is woven together and has no fixings. They are made up of the 6 & 10 circles of the icosa/dodecahedrons [blue and cyan coloured cardboard strips]. The form defines a sphere after the first 5 strips are woven together. The six cyan coloured strips are threaded in after the ball is made. The size of the ball is defined by the width of the strips.

This shows a model the where the 10 circles of the icosa/dodecahedrons are woven with doubled-up strips.

This model, made in brass, shows the 6 & 10 circles, you can also make out the 15 circles in string.

This model is made from just 6 strips and shows interlocking circles which have centres on the midpoint of the pentagons and triangles of the icosidodecahedron
This model progresses these circles so that they have a greater overlap. This one is made from individual rings each defined as a section through a sphere.
If the pentagons of a DODECAHEDRON are divided into pentagrams (5 pointed stars) these line up and form a further 10 strips. This model is made from both 6 and 10 strips which wiggle their way around the sphere. The lampshade MARANO is based on this.
This model based on a DODECAHEDRON. it is made from 10 strips. Note that in this model, the bands don't align to the centre of the sphere like all the other models. This model is made from just 6 strips and make a flower petal pattern around the penagons.
Here a sphere has been divided into 8 spiral segments This shows part of large 3 frequency icosahedron [each icosa triangle divided into 9], made from interlocking tiles.
ICOSAHEDRON from wooden balls

An Icosahedron [12 equal triangles] made in card with edge flaps that project to a sphere.

An Icosahedron made from 12 wooden balls.

Cube Octahedron made from wooden balls

A Cubeoctahedron or Snub Cube [6 squares and 8 regular triangles] made in card with edge flaps that project to a sphere.

A cube Octahedron made from 12 wooden balls. Note there is also one in the middle which touches them all.

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