14 Apr

Call for Puzzles

Hey, I have recently become problem editor for the undergraduate Math Horizons magazine of the Mathematical Association of America. So I’d love if you have problems/mathematical puzzles to submit to the column. The official submission blurb follows, and of course you will be credited in the Magazine.

The Playground features problems for students at the undergraduate and (challenging) high school levels. Problems or solutions (including more elegant or extended solutions to Carousel problems) should be submitted to MHproblems@maa.org or MHsolutions@maa.org, respectively. Paper submissions may be sent to Glen Whitney, UCLA Math Dept., 520 Portola Plaza MS 6363, Los Angeles, CA 90095. Please include your name, email address, and school or institutional affiliation, and indicate if you are a student. If a problem has multiple parts, solutions for individual parts will be accepted. Unless otherwise
stated, problems have been solved by their proposers.

24 Jan

Gengzhi Goblets Overview

Welcome to Studio Infinity! You most likely reached this page via the link on the Gengzhi Goblets given away at G4G13. Here are pointers to more in-depth discussions of the Goblets. I’d love to hear from you, so please leave a comment here, and if you want to reach me, my email is glen (at) the domain of this site.

Oh, and please see my call for problems/puzzles. If I can get four or five problems collected from G4G attendees, I can do one of my columns in MAA Math Horizons dedicated to Martin Gardner!

P.S. You may have noted that this URL seems to refer to something called the Cavalieri Content Cups. Well, that was the working name for this project before I realized, courtesy of Wikipedia, that the Chinese mathematician Zu Gengzhi elucidated the principle on which the the Goblets are based more than a millennium before Bonaventura Cavalieri did. Naturally, once that fact came to light, these items needed to be renamed, as indeed the principle itself should be, to the Gengzhi Principle.

In any case, to the links:

Mathematical Free Association, in which the question of a suitable G4G13 giveaway is pondered

Archimedean Variations, in which the realm of possibilities identified is explored

Portion Prototyping, in which the leading candidate is converted to physical reality

Gengzhi Goblets, in which the final design is produced in quantity

I hope you enjoy your measuring cups; if you happen to reach here and do not have a set and would like to, please contact me via the means listed above to find out how you can obtain a set.