Combinatorics Tiling Problem
2023
- 39Usage
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Usage39
- Abstract Views39
Artifact Description
Combinatorics is the field of mathematics studying the combination and permutation of sets of elements and the relationships that constitute their properties. A problem proposed in The College Mathematics Journal asks for a closed form expression for the number of ways to tile an n x n square with 1 x 1 squares and (n - 1) x 1 rectangles (each of which may be placed horizontally or vertically) for an integer n ≥ 3. Using a 3 x 3 square as a starting point, we determined all of the possible cases by hand. Upon doing so, we were able to determine generalizable patterns for n cases and formulate combinations for each. Finally, using a series of identities we rewrote the formula into a closed form.
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