10-001-S-TilingHallway

By Rob Krueger1, Eric Stachura2

1. Mathematics, Concordia University, St. Paul MN USA 2. Mathematics, Kennesaw State University Marietta GA USA

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Modeling Scenarios

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Abstract

Students will investigate difference equations through the context of tiling hallways. Students will observe patterns in the tiling which will lead to a difference equation model. Solutions will be calculated by iteration.  Then students will be introduced to the concept of the shift operator which will enable them to solve for a closed form solution. 

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Researchers should cite this work as follows:

  • Rob Krueger; Eric Stachura (2019), "10-001-S-TilingHallway," https://www.simiode.org/resources/6417.

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Tags

  1. difference equations
  2. geometry
  3. iteration
  4. recurrence relation
  5. Tiling