DIY Soccer Ball Mathematically EVA Foam Soccer Ball (Truncated Icosahedron)

This activity is the perfect "learn-by-doing" blueprint. While students cut, and glue the panels together, teachers can explain the fascinating interconnected history of geography, classic art (Leonardo da Vinci), quantum chemistry (the C₆₀ Buckyball molecule), and natural geometry (honeycombs and insect eyes)

The activity itself is simple, making it an ideal opportunity to introduce students to basic geometric concepts. Since the construction is straightforward, teachers can devote more time to meaningful discussions and encourage students to explore the mathematics behind the design.

Materials

1. Black EVA foam (or craft foam)
2. White EVA foam (or craft foam)
3. Glue suitable for EVA foam (or contact cement/cyanoacrylate)

Tools

1. Scissors

There are many drawings of soccer balls online, but for a mathematically accurate one, I recommend two options:

1. The Free Alternative (Wikimedia Commons): You can use the open-source version on Wikimedia Commons. It provides a geometrically accurate 2D projection of the truncated icosahedron. It is ideal if you just want the raw mathematical layout for free.

https://commons.wikimedia.org/wiki/File:Simple_Soccer_Ball.svg

1. The Premium Alternative (My KRAFT STEAM Pack): You can purchase my custom template from my workshop hub at https://ko-fi.com/bitamind. It features the same geometric precision but adds curated historical and scientific facts. Buying this pack gives you a ready-to-use resource for a school classroom or a summer camp workshop while supporting my independent R+D work.

https://ko-fi.com/s/2cc5b2bc5a

1. Design with an online web tool: You can also design your own template using the web tool at https://elements.kraft-steam.com/air/ Once you have the orientation and design you prefer, you can either take a screenshot or purchase a code to download a high-quality vector file here:

https://ko-fi.com/s/2bc3b477ec

Manual procedure

1. Cut out the different paper template parts. Mark each piece with its corresponding number to keep track of the assembly.
2. Place each template piece over the foam or cardboard and trim the shapes along the outlines.

Machine procedure

Alternatively, you can use a cutting machine. KRAFT STEAM Pack includes SVG & DXF files

1. Separate the pieces by color and group the shapes accordingly.
2. Cut each color using the matching sheet of material.

Apply glue to the back of the black pieces, then carefully align them with the base.

Look at the different balls around you. Which ones are true spheres? Which are based on polyhedra, such as a dodecahedron or a truncated icosahedron? Identify the polygons that form each shape and discuss how geometry is used in sports equipment and everyday objects.