When we picture a pie, we almost always think of a circle. But if you didn’t get to eat enough circles on Pi Day, here’s a really crazy-shaped dessert for you. These fine folks figured out how to bake a “pie-cosahedron” — that is, an icosahedron, or 20-sided shape, made of pie. They cut and bent their own triangle-shaped pie tins out of metal. Then they played with the pecan pie recipe to make it perfect: the final pies had to be less drippy and gooey than normal pecan pie, since some of them had to be upside-down on the bottom. As we see from the picture, they baked the 20 triangle pies into this shape. Finally they used magnets to hold all the tins together with the pies still inside. The question is, how many people does this geo-dessert feed, and who gets to eat the upside-down pie?
Wee ones: If your pecan pie recipe uses flour, sugar, butter, pecans and a pinch of salt, how many ingredients is that?
Little kids: How many triangles come together at each vertex (corner) of the icosahedron? Bonus:If you eat 1 pie from this 20-sided shape all by yourself, how many are left?
Big kids: Which will serve more people, 9 of those pies cut into 5 slices each, or 8 of those pies cut into 6 slices each? Bonus: If every pie has 3 sides, but every edge of the icosahedron (line between triangles) is shared by 2 pies…how many edges does the shape have?
Wee ones: 5 ingredients.
Little kids: 5 triangles. Bonus: 19 pies left.
Big kids: The 8 pies cut into 6 apiece. That gives you 48 slices, while the 9 pies give you just 45. Bonus: 30 edges. The 20 faces have 60 sides all together when they’re laid flat and not touching…then when brought together, every pair of sides makes just 1 edge in the final dessert.