Hexapentakis Truncated Icosahedral Vertex Connectors

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This is a set of models for constructing a hexapentakis truncated icosahedron using drinking straws for the edges. This is one step up in complexity from the truncated icosahedron many people will recognize as a 'soccer ball.' There are three different vertex shapes and three different edge lengths. You will need twelve (12) pentagonal centers, twenty (20) hexagonal centers, and sixty (60) edge vertices (i.e. the vertices of the truncated icosahedron), so a total of 92 connectors. Sixty (60) edges connect pentagonal centers to edge vertices. One hundred twenty (120) edges connect hexagonal centers to edge vertices. Ninety (90) edges connect edge vertices to each other. See the image above for the edge length ratios so you can calculate and cut appropriate lengths. The store brand paper straws I used have an inner diameter of 7/32". If yours are larger or smaller, you'll have to scale the design up or down appropriately.