Timeline for Dodecahedral rolling distance
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 18, 2017 at 15:58 | comment | added | j.c. | The relevant passage from Aaron Meyerowitz's link above seems to be the paragraph beginning: "Zum fuenftenn setz..." and I believe the words translated as "five narrow lozenges" by Strauss are "fuennf schmal rauten". As far as I can tell (though I am not a native speaker), Raute also means rhombus in modern German as well. | |
| Dec 18, 2017 at 15:52 | comment | added | j.c. | Re: the first image, the attribution to Dürer is also in the article by Craig Kaplan that I linked to in a comment to my own answer, see Fig. 8. of plus.maths.org/content/trouble-five . The original medieval German text can be found here de.wikisource.org/wiki/… (see pages [66] and [67], the text beginning with "Fvrbas wil jch ein fuenf ...") | |
| Dec 18, 2017 at 14:37 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Closed an expression with $.
|
| Dec 18, 2017 at 14:35 | comment | added | Joseph O'Rourke | Dürer's "narrow lozenges" = rhombi. Of course that's a translation from 16th-century German. But "rhombus" is in Euclid. It would be interesting to see the original Dürer language... | |
| Dec 18, 2017 at 13:54 | comment | added | Aaron Meyerowitz | Albrecht Dürer had it first ecademy.agnesscott.edu/~lriddle/ifs/pentagon/durer.htm. it takes a bigger patch (for me) to see what is going on. | |
| Dec 18, 2017 at 13:22 | comment | added | Joseph O'Rourke | I like your conjecture that only in the last step might one need to roll into a rhomb. My explorations (e.g., my 2nd example) support this hypothesis. I find your pentagon-rhomb tiling (your 1st image) quite beautiful. Might it be "new" in some sense? | |
| Dec 18, 2017 at 6:08 | history | answered | Aaron Meyerowitz | CC BY-SA 3.0 |