Tetrahedron

Andy's picture

Another Tetrahedron

Tetrahedron

Thanks to Knoblauch who created the Tetrahedron blog in VRMath2 Community. She demonstrated two methods to create a tetrahedron. Here I present another way to construct a tetrahedron using VRMath2 Editor. This is a generic way utilising the dihedral angles in 3D shapes. By this, many of the classical geometric solids such as those listed in this challenge can be easily created.

Andy's picture

Methane Molecule

Methane Molecule

This is my first and simple construction of a molecule. I chose to do Methane (CH4), one atom of carbon and four atoms of hydrogen, because it takes the shape of a tetrahedron. In this blog, I used a different but simple method to construct this tetrahedron shape. There is a special angle in tetrahedron. With this special angle, we can easily construct a tetrahedron.

Knoblauch's picture

Tetrahedron

Tetrahedron

The tetrahedron has the smallest number of faces in the five Platonic Solids, having only 4 faces. And in fact, four faces are the minimium requirement for a polyhedron. Other features of tetrahedron includes:

  • Each face is an equilaterial triangle
  • Each vertex is the meeting of 3 faces