Great and Small Stellated Dodecahedron
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one piece, two shapes
These instructions are from the book “Exquisite Modular Origami” by Meenakshi Mukerji (pages 24-27 in this link).
Pages 24-25: 
Pages 26-27: 
If you prefer a video, see below.
The small and great stellated dodecahedra are two of the four Kepler-Poinsot solids.
Image source: Wolfram Mathworld
See the video below to see the beautiful symmetry of these shapes, and how they relate to the dodecahedron.