In Bharatanatyam, there are 108 basic dance positions, known as karanas, which are derived from mathematical calculations and represent various aspects of human life and emotions.

Kathak's footwork patterns are based on the Fibonacci sequence, a series of numbers where each number is the sum of the two preceding ones, creating a visually pleasing and rhythmic effect.

In Odissi, the triangular formation of dancers symbolizes the three worlds of Hindu cosmology: heaven, earth, and hell, and represents the cosmic journey of the soul.

Indian classical dance rhythms are frequently structured using modular arithmetic, where the rhythmic cycle repeats after a certain number of beats, creating a sense of order and predictability.

In Manipuri, the circular hand gestures represent the unity of the universe, symbolizing the interconnectedness of all beings and the cyclical nature of existence.

Indian religious dance costumes often incorporate intricate patterns and designs that exhibit various forms of symmetry, such as rotational, translational, and reflectional symmetry, creating a visually appealing and harmonious effect.

In Kuchipudi, there are 27 basic facial expressions, known as navarasas, which are derived from mathematical calculations and represent various human emotions.

Indian classical dance rhythms are frequently structured using modular arithmetic, where the rhythmic cycle repeats after a certain number of beats, creating a sense of order and predictability.

In Kathakali, the elaborate eye movements are used to convey emotions, stories, and characters, allowing the dancer to communicate complex ideas and narratives through their eyes.

Indian religious dance hand gestures often incorporate intricate patterns and designs that are inspired by knot theory, creating a visually appealing and symbolic representation of various concepts and emotions.

In Mohiniyattam, the circular movements symbolize the unity of the universe, representing the interconnectedness of all beings and the cyclical nature of existence.

Indian classical dance rhythms are frequently structured using modular arithmetic, where the rhythmic cycle repeats after a certain number of beats, creating a sense of order and predictability.

In Sattriya, the triangular formation of dancers represents the mathematical concept of the triangle, symbolizing stability, balance, and harmony.

Indian religious dance costumes often incorporate intricate patterns and designs that are inspired by tessellations, creating a visually appealing and symmetrical effect.

In Chhau, the circular movements are used to create a sense of rhythm and energy, enhancing the martial and dynamic nature of the dance.