Icosahedron made from clear epoxy resin. Equilateral triangles measuring 3.1 inches on each side fit together neatly in a pentagon.
Icosahedron on Table

Icosahedron made from clear epoxy resin. Equilateral triangles measuring 3.1 inches on each side fit together neatly in a pentagon.

Icosahedron resting on table in front of a yellow wildflower lighthouse. The icosahedron is made from clear epoxy resin and has 20 equilateral triangles fit together in pentagon shapes repeating around the geodesic figure.
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Icosahedron resting on table in front of a yellow wildflower lighthouse. The icosahedron is made from clear epoxy resin and has 20 equilateral triangles fit together in pentagon shapes repeating around the geodesic figure.

Three icosahedron resting on a table in front of other resin art pieces. One icosahedron has an LED light inside. The pieces with wrinkles are an experiment with texture and will be sanded smooth. The smooth piece never received the texture process (plastic wrap).
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Three icosahedron resting on a table in front of other resin art pieces. One icosahedron has an LED light inside. The pieces with wrinkles are an experiment with texture and will be sanded smooth. The smooth piece never received the texture process (plastic wrap).

Very clear icosahedron resting on window sill capturing the light in the texture of resin and equilateral triangles
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Very clear icosahedron resting on window sill capturing the light in the texture of resin and equilateral triangles

Icosahedron Geodesic Sphere in Resin

$35.00

Geometric art of 20 equilateral triangles in epoxy resin.  Icosahedron can be made to order or purchased in store for $35 without LED and $50 with light.

1 in stock

Description

Icosahedron shapes are 7 inches in diameter and have pentagons of equilateral triangles fitting together at a 138° angle.  They are made from 20 resin triangles that are 1/7″ thick. The triangles have 20° beveled edges for a perfect fit.

My first attempt was with cardboard.  I wanted to get the assembly correct and its hard to tell where to start.  Can a flat paper be cut and folded into a 20 sided geodesic ball? The answer is yes but a stiffer material is needed.

I cut 3″ triangles from a sheet of 1/8″ plastic acrylic. How to fit, how to join these triangles together? What angle should they be to each other.  The angle between each side should be 138°.  This is called the dihedral angle. It is figured with college level math that I don’t remember any longer. Making 3″ clear or colored resin triangles in exact 60° angles and consistent dimensions is the next challenge. Precision is key to a good fit.  I bought some laser-cut acrylic triangles in the end to keep everything tight and attractive. I used these to create a mold so I can cast the triangle in any color using liquid two-part epoxy resin.

Very clear icosahedron resting on window sill capturing the light in the texture of resin and equilateral triangles
Very clear icosahedron resting on window sill capturing the light in the texture of resin and equilateral triangles

 

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Additional information

7" diameter

each triangle is just over 3" on each side and the composite piece is about 7 inches in diameter

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