Buckyball, Truncated Icosahedron, Soccer Ball, C60

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Multiple Ways to Have Fun with the Buckyball, Truncated Icosahedron, Soccer Ball, C60, Halves In honor of Prof. Buckminster Fuller, who taught at SIU Carbondale in the 1960s. The buckyball is a stunning creation! It's an arrangement of 20 regular hexagons and 12 regular pentagons in a mathematically captivating structure with other incredible properties. In a 3D design world, we can create a buckyball from an icosahedron. First, build an icosahedron (one of the five Platonic solids) using extrusion (or other methods). A basic understanding of the dihedral angle is essential. Then, cut off all 12 vertices of the icosahedron using a plane through one-third of the icosahedron edge length around each vertex. As a result, if the icosahedron edge length is 30 mm, the resulting buckyball has an edge length of 10 mm. Each vertex of the icosahedron collapses into a pentagon; each regular triangle transforms into a regular hexagon. Among the Files The measurements refer to the original edge length of the foundational icosahedron. One-third of that is the edge length of the buckyball. Solid buckyballs of various sizes. Shelled buckyballs of diverse sizes and styles. Wired buckyballs of numerous sizes. Half-buckyballs (hexagonal bottom & pentagonal bottom), which cannot be mixed. Two identical versions add up to a complete buckyball. References https://ethw.org/Discovering_the_Buckyball https://en.wikipedia.org/wiki/Buckminsterfullerene https://www.popsci.com/buckyball-magic-molecule https://eic.rsc.org/feature/symmetry-of-buckminsterfullerene/2020237.article https://www.forbes.com/sites/kevinknudson/2015/07/23/the-mathematics-of-buckyballs/#1b346d946f77 https://en.wikipedia.org/wiki/Buckminster_Fuller