“He talked about, ‘Why can’t a ceiling be a floor?’” Schattschneider says. Getty Imagesĭouglas Dunham, Ph.D., an emeritus mathematics professor from the University of Minnesota Duluth, tells Popular Mechanics that he used software to create designs that were similar to Escher’s hyperbolic disk patterns.Įscher also experimented with strange perspectives, sometimes depicting buildings from unusual angles. A hyperbolic plane has what is known as negative curvature, which means that it is saddle-shaped. Hyperbolic planes exist in real life where surfaces are ruffly, Schattschneider says. “Inside the circle was a tessellation, if you wish, of triangles that started large in the center and then got smaller and smaller toward the edge.” ![]() Coxeter, a mathematics professor at the University of Toronto, Escher received an inspiring diagram in the mail, Schattschneider says. It’s rather an amazing story that he did this all on his own.” “The shapes of the motifs or the figures in them are his original imagination, but are completely constrained by the geometric rules that had to be obeyed in order for them to fit together properly. “He became very, very adept at producing these tilings or tessellations,” Schattschneider says.
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