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Interactive 3D Simulation of Escher-like Impossible Worlds
figures and impossible worlds. Many of his works illustrate mathematical and geometrical concepts such as perspective
and limits. Works by Escher have motivated scientists over the years to discover the mathematical foundations
of his work, ultimately leading to applications that are able to model and render scenes similar to the ones created
by Escher. Presented is an application that is capable of displaying a special class of impossible worlds that have
been created by the artist. The software displays worlds that appear physically correct, but are connected in an impossible
manner, similar to Escher’s Another World II or Relativity. Portal rendering is employed to create real-time
interactive visualizations of such scenes, which can be freely explored by the user
Spartan Daily, March 8, 2007
Volume 128, Issue 25https://scholarworks.sjsu.edu/spartandaily/10339/thumbnail.jp
Escher in the Sky
The cosmological models called -attractors provide an excellent fit
to the latest observational data. Their predictions and are very robust with respect to the modifications of the
inflaton potential. An intriguing interpretation of -attractors is
based on a geometric moduli space with a boundary: a Poincare disk model of a
hyperbolic geometry with the radius , beautifully represented
by the Escher's picture Circle Limit IV. In such models, the amplitude of the
gravitational waves is proportional to the square of the radius of the Poincare
disk.Comment: 11 pages, 12 figures, Introductory part is extended, references adde
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