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Halo Dynamics: From Rainbows to Black Holes
Here we applied some of concepts of dynamical systems in an experiment involving a laser beam injected in a glass cylinder, recording the light...
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Sir Isaac Newton and Opticks
Isaac Newton (1643–1727) is a polarizing figure in the history of mathematics (and science) because of the inordinate attention given to priority...
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Sir Isaac Newton and Opticks
Isaac Newton (1643–1727) is a polarizing figure in the history of mathematics (and science) because of the inordinate attention given to priority...
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At the Court of Stupor Mundi
This chapters narrates the encounter between Fibonacci and Emperor Federico II. This encounter, and in particular the correspondence between...
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The Weisfeiler–Leman Dimension of Distance-Hereditary Graphs
A graph is said to be distance-hereditary if the distance function in every connected induced subgraph is the same as in the graph itself. We prove...
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Jordan schemes
In 2003 Peter Cameron introduced the concept of a Jordan scheme and asked whether there exist Jordan schemes which are not symmetrisations of...
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Introduction: Nature and Its Mathematics
What is mathematics? What do mathematicians do? Do they discover or do they invent mathematics? Artificial Intelligence (AI) is permeating all realms...
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The Rainbow Spectrum of RNA Secondary Structures
In this paper, we analyze the length spectrum of rainbows in RNA secondary structures. A rainbow in a secondary structure is a maximal arc with...
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Methodological Notes on Modelling Reconstructions After Literary Architecture
The manifold relationships between text and image are investigated by analysing attempts at a three-dimensional reconstruction of the Palace of Love...
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A View from Lockdown: Mathematics Discovered, Invented, and Inherited
The classical platonist/formalist dilemma in philosophy of mathematics can be expressed in lay terms as a deceptively naive question:...
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The Localized Approximation and Localized Beam Models
Beside more or less classical mathematical functions, numerical computations for GLMT require accurate enough computations of BSCs...
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Photographic image and individual perception
This chapter is dedicated to central projection, which comes into play both in single-eyed human vision and in photographic imaging. A simple pinhole...
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The coding power of a product of partitions
Given two combinatorial notions P 0 and P 1 , can we encode P 0 via P1? In this paper we address the question where P 0 is 3-coloring of integers and P 1 ...
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Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples
We investigate the spectral geometry and spectral action functionals associated to 1D Supersymmetry Algebras, using the classification of these...
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Paul Mongré as a Philosopher
As a student at Leipzig University, Hausdorff pursued very wide-ranging interests in his studies, which extended far beyond the standard courses in...
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Epilogue: Stokes Phenomena. Dynamics, Classification Problems and Avatars
We describe the Stokes phenomenon, its main significance, and its emergence in various landscapes. We explain how to use Stokes phenomena to enrich...