By Sunil Tanna

This e-book is a consultant to the five Platonic solids (regular tetrahedron, dice, average octahedron, commonplace dodecahedron, and standard icosahedron). those solids are very important in arithmetic, in nature, and are the single five convex general polyhedra that exist.

themes lined contain:

- What the Platonic solids are
- The heritage of the invention of Platonic solids
- The universal gains of all Platonic solids
- The geometrical info of every Platonic strong
- Examples of the place every one form of Platonic strong happens in nature
- How we all know there are just 5 varieties of Platonic good (geometric facts)
- A topological evidence that there are just 5 kinds of Platonic sturdy
- What are twin polyhedrons
- What is the twin polyhedron for every of the Platonic solids
- The relationships among each one Platonic reliable and its twin polyhedron
- How to calculate angles in Platonic solids utilizing trigonometric formulae
- The courting among spheres and Platonic solids
- How to calculate the skin quarter of a Platonic reliable
- How to calculate the amount of a Platonic strong

additionally integrated is a quick advent to a couple different attention-grabbing different types of polyhedra – prisms, antiprisms, Kepler-Poinsot polyhedra, Archimedean solids, Catalan solids, Johnson solids, and deltahedra.

a few familiarity with uncomplicated trigonometry and intensely uncomplicated algebra (high college point) will let you get the main out of this booklet - yet which will make this publication available to as many of us as attainable, it does comprise a quick recap on a few valuable simple suggestions from trigonometry.