Tilings of a (2 x n) Checkerboard with Squares and Dominoes

About the Scholar: Pioneer Scholar Rana is from Istanbul, Turkey, where she attended Robert College

The Research:

Rana’s paper investigated unknown number sequences, constructing models to make them easily understandable. She shows that the combinatorial arguments used to construct models of the Lucas sequence can prove the identities and visual lengths of lesser known sequences.

Her paper finds that Rn sequences can be represented by the number of ways to tile a 2 x n board with the length of two dominoes or one square, and Sn sequences by the number of ways to tile a 2 x n board without consecutive vertical breaks. Rana’s research breaks new ground by discussing the relationship between these two sequences.

ClientThe Car Rental Co
SkillsPhotography / Media Production

Project Title

Far far away, behind the word mountains, far from the countries Vokalia and Consonantia, there live the blind texts. Separated they live in Bookmarksgrove right at the coast of the Semantics, a large language ocean. A small river named Duden flows by their place and supplies it with the necessary regelialia. It is a paradisematic country, in which roasted parts of sentences fly into your mouth.