Meet Meschers, MIT’s Tool for Building Paradoxical Digital Objects

Meet “impossibagel,” a physically impossible bagel that mathematicians use to resolve intricate geometry problems. But impossibagel—and other “impossible objects” in mathematics—is notoriously difficult to replicate, and researchers haven’t been able to fully tap into their mathematical potential. That may no longer be a problem, thanks to a new tool.

On Monday, researchers at MIT’s Computer Science and Artificial Intelligence Laboratory (CSAIL) announced “Meschers,” software capable of visualizing an intricate, 2.5-dimensional representation of impossible objects. In addition to creating aesthetically quirky objects, Meschers could eventually assist in research across geometry, thermodynamics, and even art and architecture, according to the researchers. The paper, set for publication in ACM Transactions on Graphics, will be presented at the SIGGRAPH Conference next week.

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Impawssible Dogs Meschers
Rendering of the “Impawssible Dog” using Meschers, demonstrating how some lighting conditions create a stronger illusory percept than others. © Ana Dodik/MIT CSAIL/Meschers
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Meschers Heart Render
Laplacian smoothing of the per-vertex 2D positions of a mescher (left), per-edge depth differences (center), or both (right). © Ana Dodik/MIT CSAIL/Meschers

Source: Meet Meschers, MIT’s Tool for Building Paradoxical Digital Objects

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