The Golden Ratio, also known as the Divine Proportion, is a mathematical ratio that is frequently employed in Indian art and architecture to achieve aesthetic balance and harmony.

In Indian mythology, the number '9' is significant because it is associated with the nine incarnations (avatars) of Vishnu, the preserver god.

The spiral is a recurring motif in Indian art and design, symbolizing the concept of infinity and the interconnectedness of all things.

The mandala, a sacred geometric design, is often constructed using fractal geometry, which allows for the creation of intricate patterns that repeat at different scales.

The Hoysala architectural style, prevalent in the 12th and 13th centuries, is characterized by its intricate geometric patterns and carvings, often featuring star-shaped designs and complex mathematical calculations.

The Sri Yantra is a complex geometric diagram that incorporates the Golden Ratio and is considered a sacred symbol in Hinduism, representing the universe and the connection between the microcosm and the macrocosm.

The Sulba Sutras are a collection of ancient Indian mathematical texts that provide detailed descriptions of geometric shapes, their properties, and their applications in art, architecture, and religious rituals.

The Vastu Purusha Mandala is a sacred diagram used in Indian architecture to determine the orientation and layout of buildings. It is based on the Golden Ratio and is believed to bring harmony and balance to the structure.

The Fibonacci Sequence, a series of numbers where each number is the sum of the two preceding ones, is often used to create intricate patterns in Indian textiles and carpets, resulting in visually appealing and harmonious designs.

The Kolam, a floor art form created using rice flour or colored powders, often incorporates the Golden Ratio in its design, creating aesthetically pleasing and symmetrical patterns.

The Golden Ratio is frequently used in the design of traditional Indian jewelry, particularly in the creation of intricate patterns and motifs, to achieve a sense of balance and harmony.

The Jantar Mantar observatories utilize the Pythagorean Theorem and other mathematical principles to accurately measure astronomical data, such as the position of the sun, moon, and stars.

The Fibonacci Sequence is often used in the creation of Rangoli patterns, a traditional Indian art form made using colored powders or rice flour, to create visually appealing and symmetrical designs.

The Mandala, a sacred geometric diagram used in meditation and spiritual practices, often incorporates the Golden Ratio in its design, creating a sense of balance and harmony.

The Fibonacci Sequence is frequently used in the creation of Mehndi designs, a traditional Indian body art form using henna, to create visually appealing and symmetrical patterns.