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19 February 2026

‘The beautiful arrangement of their characters’

Observations on beauty in theorems by Leibniz.

18 February 2026

The cycloid, the tautochrone, and the brachistochrone

An enduring locus of mathematical beauty in the seventeenth century concerned curves like the cycloid and the catenary.

17 February 2026

Torricelli's solid, beauty, and sublimity

Infinite length, infinite surface area, finite volume, and aesthetic judgement.

16 February 2026

Fermat and the beauty of number theory

Number theory was the one area of mathematics on which Pierre de Fermat worked throughout his life, and he found it ‘very beautiful and very subtle’.

15 February 2026

Viète and an ‘elegant and very beautiful’ result

Or, how notation can influence aesthetic judgement.

14 February 2026

Cardano and beautiful properties of figures

Book XVI of Girolamo Cardano's De Subtilitate, a compendium of natural philosophy, begins by presenting sixty properties of geometrical figures, ‘outstanding in distinction and beauty and regard’.

13 February 2026

The archimedean solids

The discovery and rediscovery of the the polyhedra (other than the five regular solids) all the faces of which are regular polygons and where for each pair of vertices some symmetry transformation carries one vertex to the other.

12 February 2026

Luca Pacioli and the ‘divine proportion’

Pacioli’s book Divina proportione is famous in the history of mathematical beauty, but mostly for the wrong reasons.

11 February 2026

Islamic geometrical art in theory and practice

Documented connections between the artisans who created Islamic geometrical art and mathematicians.

10 February 2026

Calligraphy and geometry in mediaeval Islamic thought

The scholar Abū Ḥayyān al-Tawḥīdī wrote that ‘handwriting is spiritual geometry by means of a corporeal instrument’.

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