Spotlight
Rigorous mathematical analysis of Bharathanatyam — from posture geometry to rhythmic algebra.
Three-Dimensional Geometric Analysis of Bharatanatyam Postures
Understanding Dance Through Vector Mathematics
By examining the spatial relationships between body segments, we identify how classical Indian dance generates complex geometric structures — helicoids, toroids, paraboloids, and composite volumetric forms. Bharatanatyam postures operate as dynamic vector fields, with limb extensions functioning as directed vectors with controlled magnitude.
Tala & Modular Arithmetic
How tala cycles map to modular arithmetic — the sam as a fixed point, sollukattu as a formal language, and polyrhythm as simultaneous congruences.
Korvai as Combinatorial Compositions
The combinatorial logic behind rhythmic compositions that resolve perfectly to the sam — why certain patterns work, and the algebra that explains it.
Latest
Three-Dimensional Geometric Analysis of Bharatanatyam Postures
A mathematical analysis using 3D geometry and vector field theory. Shows how classical Indian dance generates helicoids, toroids, and paraboloids through directed limb vectors. Also published on Zenodo.