Abstract: The UNNS Calculator provides a novel bridge between classical algebraic systems and the recursive grammar of Unbounded Nested Number Sequences (UNNS). Unlike traditional calculators which deliver static numeric outputs, the UNNS Calculator emphasizes recursive dynamics, structural embeddings, and geometric visualizations. This showcase outlines its prominence, significance, novelty, and functions across three modes: Quadratic equations, Oscillators, and Fourier Phasors.