Timeline for Generalizing square wheels rolling on inverted catenaries
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 19, 2022 at 21:52 | vote | accept | Joseph O'Rourke | ||
| Sep 8, 2010 at 3:07 | comment | added | sleepless in beantown | @Joseph O'Rourke - it is indeed a beautiful paper. Thanks for the pointer to it. It's very much like a spirograph children's toy straightened out to become the road. | |
| Jun 30, 2010 at 11:33 | comment | added | Joseph O'Rourke | Indeed they describe their wheels by polar functions $r(\theta)$, so all are star-shaped. Whether every polar function, or only polar functions, are possible wheels, remains unclear to me. | |
| Jun 30, 2010 at 10:31 | comment | added | Joseph O'Rourke | A beautiful paper! They derive or compute wheel-road pairs for an amazing variety of wheel shapes, including a hippopedal, a piroform, a rosette, a limacon, and a cuspitate rosette, among others. They do not seem to answer the question of what is the full class of curves that can serve as wheels--perhaps this remains unknown. Not all their wheels are centrally symmetric, but all illustrated are star-shaped. | |
| Jun 30, 2010 at 10:17 | comment | added | Joseph O'Rourke | @abel: Thanks! I will study this. Here is a link to the paper: maa.org/pubs/sampMMA.pdf . | |
| Jun 30, 2010 at 2:28 | history | answered | abel | CC BY-SA 2.5 |