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Perimeter, Rotational Symmetry and Geometry Puzzle

Perimeter, Rotational Symmetry and Geometry Puzzle
Perimeter, Rotational Symmetry and Geometry Puzzle
Perimeter, Rotational Symmetry and Geometry Puzzle
Perimeter, Rotational Symmetry and Geometry Puzzle
Perimeter, Rotational Symmetry and Geometry Puzzle
Perimeter, Rotational Symmetry and Geometry Puzzle
Perimeter, Rotational Symmetry and Geometry Puzzle
Perimeter, Rotational Symmetry and Geometry Puzzle
Created BySamizdatMath
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SamizdatMath

SamizdatMath

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This activity is an invitation for your students to take part in an original piece of mathematical research. We begin with a problem: there is a 6 x 6 apartment split up into 36 "tiles" that need to be arranged so that all 4 apartments use the same number of tiles (9 each) and where each apartment is the exact same shape. Oh, and the apartment has to include a bathroom and kitchen, as shown on the floor plan.

From here, the problem morphs into a larger exploration of how many ways this 6 x 6 tile grid can be split into 4 pieces that are the same size and shape. I've been working on this problem for the last 8 months and have discovered 41 different variations. Whether there are more, I have no idea.

I am calling upon teachers worldwide to contribute to this original piece of mathematical research. I have scoured the web and have never seen this particular problem proposed or described, so I'm going to speculate that it has never been investigated. I would like to submit these results to a mathematics research journal for publication at a later date.

In the meantime, I will be publishing this problem and solutions to it from your students at my blog at www.samizdatmath.com.

Enjoy!
Total Pages
6 pages
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Included
Teaching Duration
N/A
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