The kusudama spiral, which looks to me to be less of a kusudama and more of a modular design, is created by Irina Krivyakina. The design is very similar to Tomoko Fuse's spiral origami.
In this design, the 6 sides of the cube are first assembled individually and then put together using connecting units. Each side of the cube is made up of 4 units which are folded together to form the spiral. A total of 24 units are required for the cube faces. The connecting unit is basically a bird base. 12 such units are required for assembling the cube.
3 inch squares are the perfect size for making the cube. I would not suggest a single-sided paper for the units used for assembling the cube. When using single-sided paper, while forming the spiral, I discovered to my dismay, that however I folded it, a little bit of the white was visible at the corners of the spirals. And it was very obviously seen in the completed cube :(
Model Details:
Model: Kusudama Spiral
Creator: Irina Krivyakina
Difficulty Level: High Intermediate
Paper Ratio: Square
Paper Size: 3 inches
Model Size: ~4 inches
Modules: 36
Photo Tutorial: Stranamasterov
Tutorial: Youtube