Solving Hermite's Problem

Explore three novel, interactive approaches for the complete characterization of cubic irrationals. Dive into projective geometry, matrix theory, and periodicity detection—all in one modern, accessible paper.

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Quick Start

Read the Overview to understand Hermite's Problem and its significance.

Explore the Three Methods—HAPD, Matrix, and sin²—each with interactive demos.

Try the Interactive Tools to experiment with polynomials and algorithms.

Check Resources for code, references, and further reading.

Featured Interactive Tools

Cubic Polynomial Explorer

Visualize and manipulate cubic polynomials and their roots in real time.

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Projective Space Visualization

Explore the geometric structure of periodicity in projective space.

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Matrix Trace Calculator

Compute trace sequences and detect periodicity for companion matrices.

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