A Fisheye Gyrograph: Taking Spherical Perspective for a Spin
António Bandeira Araújo

Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture
Pages 659–664
Workshop Papers

Abstract

In this workshop we will draw a total view of our environment in azimuthal equidistant spherical perspective. This is the 360-degree generalization of the so-called fisheye perspective, which was first formalized by Barre and Flocon in the 1960s, to capture a 180-degree view around an axis. In a recent work I have generalized this construction to the 360-degree view using ruler and compass, but in this workshop we will use a new gridding scheme based on a simple mechanism – a gyrograph – that is far more practical for drawing outdoors. We will also briefly discuss how to abandon the grid, to make freehand sketches that follow fisheye perspective rules only qualitatively. We will use custom Geogebra tools to exemplify some of the spherical perspective constructions.

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