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Without mathematics there is no art.
— Luca Pacioli, Italian mathematician (1445 – 1517)
JoAnne’s blog Intersections — Poetry with Mathematics
Mathematical language can heighten the imagery of a poem; mathematical structure can deepen its effect. Feast here on an international menu of poems made rich by mathematical ingredients.
Ted Chang’s division by zero
Paintings and Sculptures
Dorothea Rockburne’s artwork
What if mathematical theories could be expressed using artworks instead of plus signs and pi symbols? Dorothea Rockburne has devoted four decades to the attempt. View PBS’s Sunday Arts Profile on Rockburne on YouTube.
Also, on most YouTube videos, the player has a six-corner snowflake (next to CC) that gives you an option to view various snowflake configurations falling throughout the video. YouTube has placed the temporary six-cornered snowflake button for the holidays. I think it is highly fitting given the post below “The Six-Cornered Snowflake of Kepler”!
Fancy some Christmas ornaments that defy conventional Euclidean geometry? In these animations, created by mathematician and artist Jos Leys, you can see what Christmas ball patterns would look like in hyperbolic space, a “bizarro world” where parallel lines can intersect and the three angles of a triangle add up to less than 180 degrees.
The different ornament designs show various ways that 2D hyperbolic space can be tiled with polyhedron shapes by varying the Poincaré disc model. Developed by Henri Poincaré of Poincaré conjecture fame these tesselations have also been explored by artist MC Escher in a series of prints.
For more mathematical imagery, check out a gallery of art in the hyperbolic realm, hyperbolic home decoration or visit Leys’ web site. You may also like to watch our series of One-Minute Math animations.