Park City Mathematics Institute 2014
Course Notes
Bowen Kerins and Darryl Yong

These course materials are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Creative Commons License

Fractions, tilings, and geometry
Are there any rectangles whose perimeter and area have the same numerical value? Are there any rectangular boxes whose surface area and volume have the same numerical value? Can the plane be tiled with kites and chevrons? In how many ways can 1/2 be written as a sum of unit fractions? How are all of these questions related? We'll investigate these and other delights over the course of three weeks. No prior knowledge is assumed---the only prerequisite is a love of working on interesting problems.

June 30 - July 18, 2014
Download Weeks 1, 2, and 3 [PDF file]

NOTE: As you select any of the links listed above, they will download as PDF files. To open PDF files use Adobe Acrobat Reader, available free from Adobe:

Unless otherwise indicated all of these materials are licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

_____________________________________
IAS/PCMI YouTube ||  PCMI@MathForum Home || IAS/PCMI Home
_____________________________________

© 2001 - 2017 Park City Mathematics Institute
IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540.
Send questions or comments to: Suzanne Alejandre and Jim King

With major funding from Math for America

With generous support from Robert and Lynn Johnston