quick-and-dirty-caged-kawamura-hexahedron.1
Remember, remember / The Fifth of November / Star modules,
treason, and strife
During the weekend of Guy Fawkes Day 2016, I found myself at a hotel lobby during a convention, waiting for the lunch banquet to get out. My "emergency kit" in my laptop bag includes a small supply of origami paper and a small bottle of glue. (What do you mean, you don't have an emergency origami kit?) The only other ingredients needed to create something interesting were the two idle hands that I happened to have available at that moment, so I decided to fold something quick and dirty that could be given away by the end of the afternoon.
Initially, all I had planned on folding was the green, 12-unit Kawamura star you see in the middle (which geometrically is a cube although it does not look the part.) However, I consider 12 units to be a very small project, even for something I'm folding hastily, so as usual I pushed myself to do try something new. I already knew that many (not all) convex Kawamura Star Module polyhedra could fit within geometrically analogous Open Frame Unit cages with various degrees of snugness; what I had never tried before was varying the "geometrically analogous" part. Could I fit a Kawamura hexahedron in, say, an open frame unit cuboctahedron? How about a rhombicuboctahedron? The only way to find out was to try it.
As it turns out, it works remarkably well! Just remember that the open frame units have to be folded from sheets one quarter the size of the sheets used to fold the star modules. The dual Kawamura star, a cumulated octahedron, could probably fit in the rhombicuboctahedral cage as well, but I haven't tried that yet.
I think I started this around 1:30 PM on Saturday. Shortly before 4:00 PM, I was done, and by 4:10, someone else took interest in it and became its proud new owner.
quick-and-dirty-caged-kawamura-hexahedron.1
Remember, remember / The Fifth of November / Star modules,
treason, and strife
During the weekend of Guy Fawkes Day 2016, I found myself at a hotel lobby during a convention, waiting for the lunch banquet to get out. My "emergency kit" in my laptop bag includes a small supply of origami paper and a small bottle of glue. (What do you mean, you don't have an emergency origami kit?) The only other ingredients needed to create something interesting were the two idle hands that I happened to have available at that moment, so I decided to fold something quick and dirty that could be given away by the end of the afternoon.
Initially, all I had planned on folding was the green, 12-unit Kawamura star you see in the middle (which geometrically is a cube although it does not look the part.) However, I consider 12 units to be a very small project, even for something I'm folding hastily, so as usual I pushed myself to do try something new. I already knew that many (not all) convex Kawamura Star Module polyhedra could fit within geometrically analogous Open Frame Unit cages with various degrees of snugness; what I had never tried before was varying the "geometrically analogous" part. Could I fit a Kawamura hexahedron in, say, an open frame unit cuboctahedron? How about a rhombicuboctahedron? The only way to find out was to try it.
As it turns out, it works remarkably well! Just remember that the open frame units have to be folded from sheets one quarter the size of the sheets used to fold the star modules. The dual Kawamura star, a cumulated octahedron, could probably fit in the rhombicuboctahedral cage as well, but I haven't tried that yet.
I think I started this around 1:30 PM on Saturday. Shortly before 4:00 PM, I was done, and by 4:10, someone else took interest in it and became its proud new owner.