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December 16, 2015

Shell buckling toilet paper roll

Shell-buckling-toilet-paper-roll

I’m no mathematician, but I do like knowing that there are mathematical explanations for such small, quotidian occurrences as a shell buckling toilet paper roll.

Nice and unexpected example of buckling in an axially loaded cylinder. The load had probably been applied accidentally to this roll of toilet paper … There is a mathematical explanation for this buckling phenomenon.

2007, Geertje Hek

I saw this photo of a toilet paper roll with “shell buckling” patterns last year on the Shell Buckling website.

At the time, I was researching aluminum cans with similar patterning (See: Pseudo-Cylindrical Concave Polyhedral Packaging)

Geertje Hek is a Swiss mathematician, now teaching at the Institut International de Lancy.  The website where she originally posted the photo is no longer up, but I was lucky this morning to have found it still available on the Internet Archive “Wayback Machine.”

(See also: 3 Substantially Square Toilet Paper Rolls and 4 Faceted Folding Packets)

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