The Golden Ratio, also known as the divine proportion, is evident in the proportions of the Taj Mahal's various elements, contributing to its harmonious and aesthetically pleasing appearance.

Radial symmetry is a common feature in Indian mandalas, where patterns radiate outward from a central point, creating a sense of balance and harmony.

The Fibonacci Sequence, where each number is the sum of the two preceding ones, is often used to determine the spacing and arrangement of pillars in Indian temples, creating a visually appealing and structurally sound design.

Hexagons are frequently used in Indian temple carvings due to their ability to tessellate, creating intricate and visually stunning patterns that cover large surfaces.

Indian stupas, including the Sanchi Stupa, are typically hemispherical in shape, resembling a sphere, and are often adorned with intricate carvings and sculptures.

Vastu Shastra is an ancient Indian system of architecture that emphasizes the principles of energy flow, orientation, and harmony between a building and its surroundings.

Rangoli patterns often exhibit various forms of symmetry, including radial, bilateral, and rotational symmetry, creating visually appealing and harmonious designs.

Classical Indian dance forms often incorporate symmetrical movements, where the dancer's body is divided into equal parts, creating a sense of balance and harmony.

The design of Indian musical instruments considers acoustics, geometry, and harmony to achieve the desired sound quality, pitch, and resonance.

Fractal geometry, with its self-similarity and repeating patterns, is often used in Indian textile design, creating visually stunning and complex motifs.

Pachisi is played on a square board divided into 24 squares, arranged in a 6x4 grid, with each player's pieces moving along the squares according to dice rolls.

The Surya Siddhanta accurately describes the Earth's orbit around the Sun as an elliptical path, centuries before the Western world's understanding of elliptical orbits.

Mehndi designs often exhibit various forms of symmetry, including radial, bilateral, and rotational symmetry, creating visually appealing and harmonious patterns on the skin.

Indian classical music incorporates mathematical principles in its melodic structures, rhythmic cycles, and harmonic relationships, creating a rich and complex musical experience.

Chaturanga, the ancient Indian game that evolved into chess, is played on an 8x8 square board, totaling 64 squares, similar to the modern chessboard.