Mathematician and origami expert Tom Hull created this pleated multi-sliced cone from paper, never before accomplished since Robert Lang designed it via computer.
Origami Kids has both the pattern and the final result, which Hull recommends attempting with high-quality origami paper.
Hull is highly regarded in the fields of math and origami for creating PHIZZ unit (pentagon-hexagon zig-zag).
Here’s a simple PHIZZ shape by Flickr user fdecomite:
And a pretty PHIZZ tunnel by Flickr user lhuerta: