What is the strongest 3D shape?

Answer 1

I am thinking the strongest 3-D would be a sphere. This is because of the repetition of the arc. Depending of what the application of the 3-D shape is, different polygons should be considered. If you are thinking strictly in mathematical terms, my answer remains sphere.

Other shapes to consider:

The triangular pyramid

The pyramid (square base)

The right triangle cone (circular base)

The cuboctahedron

The cuboctahedron is six square faces and eight triangular faces.

My reasons for including it in stronger 3-D shapes without proof of any kind is: there are triangles confining squares thus leading to limits on distortion of the squares to other shapes such as rectangles or trapezoids. In addition there is a large potential for shock distribution over the many faces because the near spherical appearance and construct.

Answer 2

The Cylinder And The Arch

They Are Ideal For Building Structures That Can Support A Lot Of Weight