Geometry
Dive into the fascinating world of mathematics with our captivating articles, written by passionate experts. Whether you are a curious amateur or a seasoned mathematician, our articles cover a wide range of topics, from fundamental concepts to the latest discoveries, including practical applications and philosophical reflections.
PodcastMathematical code - Sagrada Família: Gaudí's secret finally revealed
A Barcelona mathematician discovers that the Sagrada Família is built on a 7.5-metre module and the proportions of the divisors of 12. Here's how.
PodcastVedic mathematics: a history of ritual geometry and the Śulba Sūtras
Discover how Vedic rituals gave rise to some of the oldest geometric, arithmetic and algorithmic texts in human history.
PodcastDetermining the qibla: spherical trigonometry and direction to Mecca
Discover how Muslim tradition inspired elegant mathematical solutions for finding the direction of Mecca, combining spherical geometry and astronomy.
PodcastGladys West: the mathematician who made GPS possible
A portrait of Gladys West, the African-American mathematician whose geodetic models enabled the development of modern GPS.
PodcastTwo locally identical yet different tori break 150 years of geometry
Two tori plainly impossible to tell apart locally yet topologically distinct: a discovery that breaks a rule geometry has accepted for 150 years.
PodcastEuler–Cramer paradox: Are 9 points enough to define a cubic?
The Euler–Cramer paradox: If nine points seem sufficient to determine a cubic curve, how can two distinct cubics also pass through those same nine points?
PodcastGabriel Cramer and Cramer's rule in the 18th century
The appendix to Gabriel Cramer's Introduction à l’analyse des lignes courbes algébriques contains the famous rule for solving systems of linear equations and Bézout's theorem.
PodcastPlotting algebraic curves in the 18th century: Newton’s and Cramer’s analytic methods
How did Gabriel Cramer plot algebraic curves in 1750? Discover Newton's analytical parallelogram and Cramer's analytical triangle.