Packing Equal Copies
Erich's Packing Center covers various packing problems and solutions involving shapes like triangles, circles, squares, and more. It includes updates on configurations, animations, rigid packings, and related problems with external resource links.
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Erich's Packing Center offers a variety of packing problems and solutions involving shapes like triangles, circles, squares, and more. The website provides updates on different configurations such as triangles in squares, circles in triangles, squares in circles, and various other combinations. It covers topics like maximizing total perimeter, tiling, and Heilbronn problems for different shapes. Additionally, the site includes animations and rigid packings for shapes like rectangles and circles. Various related problems such as cubes in cubes, tree planting problems, and minimizing distance ratios are also discussed. The website offers links to other resources related to packing problems, including Torsten Sillke, James Buddenhagen, and more.
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2 commentsI find it a beautiful usage of a feature that few know about (and even fewer would prefer to know about), but which works well in the browser regardless. I might steal the pattern for some of my own SVGs if no one's looking. (Well, not before testing its portability with non-browser SVG processors.)
[0] https://kingbird.myphotos.cc/packing/squares_in_squares.html
[1] e.g., view-source:https://kingbird.myphotos.cc/packing/square-_11.svg
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Mrs Perkins's Quilt (2017)
The Mrs. Perkins's Quilt puzzle involves dividing a 13x13 square quilt into 11 specific squares. Originating in the early 1900s, researchers like Richard Guy and Ed Pegg Jr continue to advance this mathematical challenge.
Desperately Seeking Squircles
An engineer aims to incorporate Apple's 'squircle' shape into Figma, navigating mathematical complexities with superellipse formulas and Bézier curves. Challenges in mirroring and transitioning the shape prompt a proposed smoothing scheme for versatile designs. Differential geometry aids in mathematically analyzing the squircle's perimeter, showcasing the intricate process of digital design translation.
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