halloween-hexexcavated-truncated-cube.3
This is a truncated hexahedron that has had 6 square-cupola-shaped holes excavated from the octagonal faces. Composed solely of squares and triangles, it is a mish-mash of different face-based modular origami "technologies":
- Purple-green-and-orange central cube: 6 Double Stopper modules (from Tomoko Fuse's Kusudama Origami, page 52) These units have 4 pockets and no flaps; I had to improvise "Y"-shaped joining tabs from leftover paper in order to connect the double stoppers together while still leaving 12 flaps free at the cube's edges.
The Double Stopper units are made of three nested square sheets, with each nested square being half the area of the next largest square. The completed units each took 2.25 sheets of paper, not counting leftovers. There was no need for scissors as I simply tore my orange sheets into fourths to make the central squares.
- Purple tetrahedron walls: 24 Regular Triangle modules (Kusudama Origami, page 70.) These units have three flaps and no pockets, so they were double-stuffed into the roomy Square Flat Unit modules.
- Green tetrahedron bases: 8 Equilateral-triangular Flat Unit II modules (from Kunihiko Kasahara's Origami Omnibus, page 204.) These units have 3 spacious pockets and no flaps, so they slipped rather snugly over the 24 free flaps on the Regular Triangle modules in the corners.
- Square cupola walls: 12 Square Flat Unit modules (from Tomoko Fuse's Unit Polyhedron Origami, page 8.) These units have 4 spacious pockets and no flaps, and I only had to use three of the four pockets on each unit anyway. They're made from two whole sheets of paper, which is wasteful, but it also afforded me the opportunity to color each side of the squares differently.
All of these units are remarkable because each one has a side length which is exactly 1/2 the length of the original sheet of paper, meaning they are all compatible. This meant that I had a wide variety of options for "where to get the flaps" to fill pockets and vice versa. The solution I came up with here is by no means unique.
All told, I needed 65 sheets of paper to complete this project, including 25.5 sheets of Halloween-themed scrapbook paper.
And yes, the Geomag folks did it first. But my truncated cube is made of paper, so there!
halloween-hexexcavated-truncated-cube.3
This is a truncated hexahedron that has had 6 square-cupola-shaped holes excavated from the octagonal faces. Composed solely of squares and triangles, it is a mish-mash of different face-based modular origami "technologies":
- Purple-green-and-orange central cube: 6 Double Stopper modules (from Tomoko Fuse's Kusudama Origami, page 52) These units have 4 pockets and no flaps; I had to improvise "Y"-shaped joining tabs from leftover paper in order to connect the double stoppers together while still leaving 12 flaps free at the cube's edges.
The Double Stopper units are made of three nested square sheets, with each nested square being half the area of the next largest square. The completed units each took 2.25 sheets of paper, not counting leftovers. There was no need for scissors as I simply tore my orange sheets into fourths to make the central squares.
- Purple tetrahedron walls: 24 Regular Triangle modules (Kusudama Origami, page 70.) These units have three flaps and no pockets, so they were double-stuffed into the roomy Square Flat Unit modules.
- Green tetrahedron bases: 8 Equilateral-triangular Flat Unit II modules (from Kunihiko Kasahara's Origami Omnibus, page 204.) These units have 3 spacious pockets and no flaps, so they slipped rather snugly over the 24 free flaps on the Regular Triangle modules in the corners.
- Square cupola walls: 12 Square Flat Unit modules (from Tomoko Fuse's Unit Polyhedron Origami, page 8.) These units have 4 spacious pockets and no flaps, and I only had to use three of the four pockets on each unit anyway. They're made from two whole sheets of paper, which is wasteful, but it also afforded me the opportunity to color each side of the squares differently.
All of these units are remarkable because each one has a side length which is exactly 1/2 the length of the original sheet of paper, meaning they are all compatible. This meant that I had a wide variety of options for "where to get the flaps" to fill pockets and vice versa. The solution I came up with here is by no means unique.
All told, I needed 65 sheets of paper to complete this project, including 25.5 sheets of Halloween-themed scrapbook paper.
And yes, the Geomag folks did it first. But my truncated cube is made of paper, so there!