Below you can find instructions for folding Lucky Star Fractal, an interesting recursive model designed independently my multiple people, including myself.
In print media
This model is listed in Shuzo Fujimoto’s Twist Origami I on page 17. There is a crease pattern and drawings of the front and back of the finished model. There are also textual instructions in Japanese. Google Translate output gibberish for the text, but it seems to refer to the spikes on the back side of the model (hidden in the closed back variant, visible as a flower-like shape in the open back variant).
This tutorial shows a third-level model which is relatively easy to fold. A good sheet size is a hexagon cut from an A4 sheet. Higher levels can be folded by repeating the process over and over in smaller and smaller scale. However, beyond level 3, the collapse becomes much more difficult. The large shrink factor of √3 means that the details become small very fast. For a level 5 model, I needed a hexagon cut from a 35 cm square. Additionally, the paper layers in the back of the model start overlapping which makes finding your way more difficult. Even for level 3, this model is hard to fold without a pointed folding tool.
The back side of the model can be left closed, or it can be opened up and shaped into a flower-like structure.
Like many similar models such as Fujimoto’s Hydrangea, the form of this model most often folded is a single molecule with a decorated border, but a tessellation with multiple molecules can be folded as well. When folding the tessellated form, you connect triangular flaps in the back of each molecule to adjacent molecules and then you can squash them for a more symmetric alignment.
Precrease pattern (PreCP) and crease pattern (CP) are available below as SVG and PNG files: