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Envisioning the Architectural-Urban Nexus in Renaissance Florence in the Case of Palazzo Rucellai
Florence counts as one of the cradles of European Renaissance art and architecture where linear perspective first emerged. These developments led to...
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Euler and Music Musing Euler’s Identity
Euler’s identity e iπ + 1 = 0 is considered the most beautiful in the history of mathematics (Richard P. Feynmann, an American physicist who won the...
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The Church’s Perspective
After the discovery of perspective during the Renaissance, its rules became so familiar that earlier painters and their techniques were looked down...
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Neue Themen in der Geometrie
In der Renaissance zeigten Architekten, Ingenieure und Künstler verstärktes Interesse an der Lehre für Perspektive und Proportionen in der Malerei....
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Fotografische Abbildung und individuelle Wahrnehmung
Dieses Kapitel ist der Zentralprojektion gewidmet, die sowohl beim einäugigen menschlichen Sehen als auch bei der fotografischen Abbildung zum Tragen...
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Subsymmetries of the Point Groups in Architectural Designs
Throughout history, the straightforward use of the point groups of symmetry has been ubiquitously found in various designs from decorative patterns...
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Looking Through the Glass
Projective geometry allows us, as its name suggests, to project a three-dimensional world onto a two-dimensional canvas. A perspective projection...
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Projektive Geometrie
Kameras haben als eigentliche Universalsensoren viele Arten von spezialisierten Sensoren wie Lichtschranken oder Wärmesensoren abgelöst. Die...
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Digital Form Finding Using Voronoi Pattern
Starting from funicular models, chain models and hanging membranes, the role of 3D physical models in optimized shape research is the basis of...
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Structural Models Based on Minimal Surfaces and Geodesics
This article presents the results of research carried out with respect to the geometric, formal and structural adaptation of minimal surfaces. These...
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From the Renaissance to the Birth of Calculus
During the period when the ancient civilizations of China, India, and Arabia in the east were making new contributions in mathematics, Europe was in...
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Baroque Architecture
The Baroque approach to geometry is challenging and playful. Complex shapes are experimented with and new layouts are designed, giving birth to...
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Neuroscience for an Artist; a Beginning
In this essay we describe some of the brain processes that are engaged when artists produce drawings and paintings. Two brain structures have been...
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Gilles Deleuze’s The Fold: Calculus and Curvilinear Design
This chapter addresses how Gilles Deleuze’s The Fold: Leibniz and the Baroque has affected architectural design and theory. It summarizes key...
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Incidence: Projective Geometry
Projective geometry is the proper domain for the notion of incidence for straight lines and points; it knows no other basic notions. The basic ideas...
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Renaissance Architecture
In classical culture, architecture and mathematics were strongly connected by a parallel sense of beauty. The conceptual beauty of mathematical rules...
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Brunelleschi: Wo schneiden sich Parallelen? (1420)
Zu den frühesten mathematischen Entdeckungen der heraufdämmernden Neuzeit gehört um 1420 die Zentralperspektive, die von dem Erbauer der Kuppel des...
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Gekrümmt und doch einfach
In diesem Kapitel besprechen wir die Krümmungstheorie ebener Kurven und Raumkurven sowie die von der Raumvorstellung am einfachsten zu erfassenden...
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Anamorphosis: Between Perspective and Catoptrics
This essay is conceived in two parts: the first part deals with the perspectival and artistic work of the Minim Father Jean François Niceron...