Here's how I do what I do.
Caution: This project calls for the use of very sharp knives.
BE RESPONSIBLE WITH STABBY, CUTTY THINGS, M'KAY?
Step 1: Materials
- Craft knife (X-acto, etc.) or very sharp, fine-tipped scissors. Craft knives are better, though.
- Cutting mat. I find flattened cereal boxes are excellent for this. (Don't use corrugated cardboard as a cutting mat. The knives will just punch right through the top layer into the spaces between, making your cuts too large and destroying any fine details there might be in your design.)
- Various design templates and stencils
Step 2: Foldin' Foldin' Foldin'
Basically you divide 360 by however many sides you want, and that will tell you at which angle to fold the paper to get that number of sides.
360° / 4 = 90°
360° / 6 = 60°
360° / 8 = 45°
360° / 10 = 36°
360° / 12 = 30°
360° / 14 = 25.714285etc. ...Okay, so maybe not that one.
Anything over eight sides starts getting too thick for extreme detail anyway.
The end result will be slightly different depending on whether you fold the paper in half along the long axis or the short. The overall surface area is the same, the shape is just a bit different, and you can use this to your advantage to maximize the space available for certain designs.