Geometry

The truncated icosidodecahedron is made up of 30 square faces, 20 regular hexagonal faces, 12 regular decagonal faces, 120 vertices and 180 edges. The dihedral angles for this Archimedean solid are as follows:

• between a hexagonal face and a decagonal face: 142.62 degrees (6-10)

• between a square face and a decagonal face: 148.28 degrees (4-10)

• between a square face and a hexagonal face: 159.095 degrees (4-6)

Hi VRMath2 Community,

This is my first blog entry onto the site.

There are many 3D visualisation software for mathematics. Most of them allow easy input of a function to create a 3D graph. VRMath2 also allows creation of 3D graphs. It may not be so easy if compared to other software. But I think that VRMath2 is better for learning because it provides more opportunities for construction throught programing. I call this the power of "Programming driven 3D modelling and visualisation".

Quite a few geometry software can produce complicated geometrical objects. The Platonic solids and Archimedian solids for example, can be produced using dynamic geometry systems (DGS). If so, the process would be brilliant but complicated ways of formal Euclidean  reasoning. In VRMath2, similar reasoning may be used, but because it has a Logo programming or turtle geometry capability, most of these complicated geometrical solids can actually be constructed by moving locations and turning directions.