All About Deltahedra: Exploring the Eight Strikingly Convex Shapes

TLDRDiscover the eight strictly convex deltahedra, including the tetrahedron, octahedron, icosahedron, and more. Learn about their construction, expansion, and snubification.

Key insights

🔺Strictly convex deltahedra are solids made solely from equilateral triangles.

🔲Expansion involves moving the faces of a shape away from the center and filling in the gaps.

Snubification is another way to fill the gaps using equilateral triangles, resulting in a snub cube.

Q&A

What are deltahedra?

Deltahedra are polyhedra composed entirely of equilateral triangles.

How many strictly convex deltahedra are there?

There are eight strictly convex deltahedra.

What is expansion in geometry?

Expansion involves moving the faces of a shape away from the center and filling in the gaps.

Timestamped Summary

00:00Introduction to deltahedra and their composition of equilateral triangles.

13:47Explanation of the expansion process in geometry.

16:28Introduction to snubification and its application to the snub disphenoid.