6-unit Mandarin, by Ekaterina Lukasheva
One time a friend asked people bring him Christmas ornaments as party gifts, and this is what I made.
Ekaterina designed Mandarin to be made with 12 or 30 units, at which point it becomes a floral ball (or “kusudama”, as it’s called). But here I only used 6 units, and so the “flowers” only really have 3 petals and they don’t much look like flowers at all. It looks more like a spiky Christmassy thing. How many points do you think it has?
Answer: it has 10. 10 is a rather unusual number, particularly since the geometry of the model is based on a tetrahedron. A tetrahedron has 4 faces, 6 edges, and 4 vertices. There are 6 pieces of paper corresponding to the 6 edges, and there are 4 “flowers” corresponding to the 4 faces of the tetrahedron. Each piece of paper forms a single point, and each flower forms another point. In the photo above, the gold, green, and red points are edges, while the multi-colored points are flowers. That makes 10 points total.
I wish I could give away more of these things as gifts. They just tend to accumulate, and I’m not sure what to do with them. I’ve thought about selling them but I wouldn’t know where to begin.