The essays consider
non-Euclidean geometry in a broad sense, including the classical geometries of constant curvature (spherical and hyperbolic), but also de Sitter, anti-de Sitter, co-Euclidean, co-Minkowski, Hermitian geometries, and others.
In the past, he has referred to the knitted works he makes as "portals." And indeed, at Marc Selwyn Fine Art, these fabrications were distinctly revealing of the artist's process and the ideas currently driving him, namely quantum physics and
non-Euclidean geometry. In the tangram-esque Index-Manifold, 2017, for instance, Hansen fit together sixteen triangular, stretched-knit panels to form a rectangle.
He found himself able to elaborate a perfect system of
non-Euclidean Geometry without doing violence to any other axiom or reaching any contradictory internally inconsistent results.
Non-Euclidean geometry was included to show a different perspective and geometrical sense than the one we live in.
Finally, he concluded by solving in
non-Euclidean geometry one of the classical problems of geometry: SQUARING TF1E CIRCLE [capitalization added for emphasis] i.e., constructing a square equal in area to a given circle.
Mariconda's perceptive analysis of the author's rhetorical use of menacing sound, asymmetry, and
non-Euclidean geometry is of particular importance to contemporary art and media theory.
To understand its defining characteristics in greater depth we study them in Euclidean geometry and in a particular
non-Euclidean geometry system known as 'taxicab geometry'.
New York designer Jill Malek's Voyageur wallpaper takes
non-Euclidean geometry to the next level, with a range of papers printed with lines radiating from points, like a compass gone wild.
If we set out to solve a problem by
non-euclidean geometry, we don't switch to euclidean postulates.
There were no questions about
non-Euclidean Geometry.
In
non-Euclidean geometry the ratio of a circle's circumference to its diameter may also differ from [pi].
The topics are
non-Euclidean geometry, crossroads between hyperbolic geometry and number theory; origamis in TeichmA1/4ller space; 3-manifold topology; globally symmetric spaces; the geometry of the representation spaces in SU(2); the algorithmic construction and recognition of hyperbolic 3-manifolds, links, and graphs; and asymptotic geometry.