If you are a graduate student and would like to participate in the poster session, please send by email your title, affiliation and full abstract (approximately 100-150 words) NO LATER THAN JUNE 10th to:

William A. MasseyThe poster session will be held the evening of Wednesday, JUNE 26 at Bell Laboratories (Lucent Technologies, Murray Hill). Materials such as poster boards, push pins, tape, etc. will be provided there. You only need to bring the mathematics (exposition, formulas, and graphs). We look forward to seeing you this summer!!

E-mail: will@research.att.com

Phone: 908-582-3225

Nathaniel Dean, AT&T Research (nate@research.att.com)

William A. Massey, Bell Laboratories (will@research.att.com)

- Poster boards will be 4' by 8'. Feel free not to use all of the space. This is large for standard posters.
- You will be explaining your posters to the other attendees of the conference and Bell Labs researchers but make the presentation readable so that others can get an understanding of the work if you are not available to comment.
- Make panels (8 1/2" by 11" sheets of paper preferably) that can be tacked up onto the board provided. This will make it easier to set-up and transport the poster.
- Your panels will consist of:
- Exposition (things like an overview, definitions, statement of goals, statement of results, etc.).
- Formulas (SLITEX if available, is a nice way to do them, but in general just make sure that the fontsize for your exposition and formulas in the poster panels are at least twice as big as for a paper you would publish).
- Graphs (if your talk lends itself to that).
- Pictures (diagrams and illustrations are always a plus).

- Each presenter will be given a number at the event. Be sure to get it.
- HAVE FUN!!!

A POLYOMINO TILING PROBLEM OF THURSTON AND ITS CONFIGURATIONAL ENTROPY

Terry Gauss Newton

Department of Mathematics

University of Hilbert Space

xyz@hilbert.space.edu

We prove a conjecture of Thurston on tiling a certain triangular region $T_{3N+1}$ of the hexagonal lattice with three-in-line (``tribone'') tiles. It asserts that for all packings of $T_{3N+1}$ with tribones leaving exactly one uncovered cell, the uncovered cell must be the central cell. Furthermore, there are exactly $2^{N}$ such packings. This exact counting result is analogous to closed formulae for the number of allowable configurations in certain exactly solved models in statistical mechanics, and implies that the configurational entropy (per site) of tiling $T_{3N+1}$ with tribones with one defect tends to 0 as $N \rightarrow \infty$.

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Document last modified on November 2, 1998.