**The Inherent Beauty of Geometry**

To me geometry is absolutely beautiful, I find small mathematical quirks such as the relation of volume to surface area of a sphere (simple derivation of the formula) to be astounding but the following is just extraordinary.

The above **pentagram** is pretty cool, it’s set inside a **pentagon** and makes up a series of **isosceles triangles** using sets of parallel lines (marked b) all the while making a second, inverted regular pentagon in the middle, but it gets better. The pentagram includes the **golden ratio** in every aspect of its design: the ratio of the length of a to b is equal to the golden ratio ((1+√5)/2 ≈ 1.618). However it doesn’t stop there, similarly the ratios b:c and c:d are also golden.

**To summarize: a:b = b:c = c:d = (1+√5)/2, the golden ratio. **