EuclidEuler

EuclidEuler is a multidisciplinary project name used to group ideas, software, and educational resources that explore the interplay between Euclid's geometry and Euler's contributions to graph theory and analysis.

The project originated in the late 2010s as a collaboration among mathematicians and computer scientists seeking to illuminate how Euclid's axiomatic approach to geometry can inform modern Eulerian concepts such as planar graphs, polyhedra, and Euler circuits. The materials are published openly.

Core concepts include geometric constructions that reflect Euclid's postulates and the transfer of those constructions into graph-theoretic contexts via Euler's results. The framework emphasizes constructive methods, visualizations, and algorithmic interpretations.

Software and resources: a modular library implementing construction and graph algorithms; supports multiple programming languages; notebooks and tutorials; interactive visualizations.

Applications and impact: used in higher education to illustrate historical connections, in research on computational geometry and graph algorithms, and in public-domain visualization projects.

See also: Euclid; Euler; geometry; graph theory; polyhedra; computational geometry.