Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Friday, June 18, 2004, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Jiří Matoušek (Charles Univ.)

Simplex Reptiles Could Help the Net Police, But Probably They Do Not Exist

A polyhedron P in R^d is called a k-reptile if P can be tiled without overlaps by k similar copies of itself that are all congruent (k>1). For example, the right isoceles triangle in the plane is a 2-reptile. I will (try to) prove that for d>2 there are no d-dimensional simplices that are 2-reptiles. It seems plausible, but maybe hard to prove, that if a d-simplex is a k-reptile, d>2, then k must be at least 2^d. This (very incomplete) investigation has been motivated by probabilistic encoding of the routes of messages on the Internet.

Upcoming talks     |     All previous talks     |     Talks by speaker     |     Upcoming talks in iCal format (beta version!)

Previous talks by year:   2024  2023  2022  2021  2020  2019  2018  2017  2016  2015  2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  2004  2003  2002  2001  2000  1999  1998  1997  1996  

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M   |   admin login