Reduce, Reuse, Geometry (3-12) [video]

Intersecting a 3D shape and a plane might seem intimidating, but a few bottles, a box cutter, and some creativity can give us some insight into what it can look like. A particularly interesting 3D shape to cut is the cone, as depending on how we cut, we can get circles, ellipses, and parabolas (hyperbolas too, those are harder to cut out). Thankfully many bottles include cones, so we can have some fun cutting up bottles and using the conic sections we get to make art. Watch the video below for more details and some examples!