The entire approach of the Spheres sections is different from the Lines. Whereas the Lines section sees construction as adding cubes, and is free to grow in many directions, Spheres looks at the entire object before starting, and, especially for the advanced designs, it is necessary to have a final object in mind before starting.

    Actually, you've already done this one. A cube happens to be a precisely stellated tetrahedron!

---

Materials:

12 Squares

Base Unit:

Time:

1 ¹/₃ min - 2 ¹/₂ min

About:

This is an octahedron with triangular pyramids attached.   ...Well, what else is there to say?!

Instructions:

1. The beginning of all the Spheres can be seen as a slightly changed Step 3 of the "Cube" Instead, what we want is:
2. Flip over, and fold the three corners back.
3. Insert two more Squares:
4. Add two more:
5. Without adding Squares, join the chain of pyramids:
6. Keep adding more Squares:
7. And more...
8. And with a final piece, you have completed the Stellated Octahedron.

---

Materials:

30 Squares

Base Unit:

Time:

Who knows?

About:

60 faces, 30 valleys, 20 corners.
You can find a dodecahedron by connecting the corners!

Instructions:

1. Begin with Step 4 of "Stellated Octahedron"