Weird geometry

Art enters the hyperbolic realm

Hyperbolic space is a Pringle-like alternative to flat, Euclidean geometry where the normal rules don’t apply: angles of a triangle add up to less than 180 degrees and Euclid’s parallel postulate, governing the properties of parallel lines, breaks down. That fascinates mathematical artist Vi Hart, who creates hyperbolic "tilings" from a range of different materials.

 

Ghostly skirt

 

Rare balloon tiling

Beading the plane

Hyperbolic planes take off

Apple-bolic

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