Geometry is a branch of Mathematics primarily concerned with Shapes and Angles, Dimensions, size of Objects. The Golden ratio or its Mathematical term Phi Ratio is a mathematical principle that pervades the universe. The principle can be found from molecular (including DNA molecule) to Spiral Galaxies. In sacred Geometry the Golden Ratio can be expressed in numbers, lengths, shapes and forms which include golden proportioned Triangles. Rectangles and Spirals. The cosmic Dancer- Nataraja Statue of CERN is analyzed in terms of Mathematics through Geometric Shapes, Golden Ratio, and Law of Nature. Connecting Art and the Mathematics, Connecting Nature and the Universe. In Nataraja icon the Golden Ratio is expressed in the form of golden proportioned Triangles. Many geometric patterns like angles, curves, circles, rings are ascertained in Nataraja Statue. This unique ratio can be used to describe the proportion of everything from Nature’s very small things to un imaginably large celestial bodies. The golden Ratio is a golden thread that links all the level of creation. It is an universal relationship that exists between two elements in a natural situation. According to modern science the most beautiful objects of the Universe are designed with a golden ratio. The Vitruvius man and the cosmic dancer - Nataraja through the proportional relational ship reflects the universal design. Golden Ratio is also known as Phi. Fibonacci number is the mathematical symmetry algorithm that underlines our perception of attractiveness. It is the most beautiful number in the Universe. It can be visualized almost everywhere starting from Geometry to Human body.