T-Totals Investigation
Aim
I am investigating the different relationships between the T-total and
T-number of the T-shape by translating it to other positions on the
grid. First I am going to use 9×9 grid then go on to smaller sizes
like 8×8 7×7 6×6 5×5 to investigate whether the size of grid affects
the T-total and T-number. This can be done by rotating it and then use
vectors to find out if there is any relationship if it is translated.
Mr. Zaman
Contents
Title Page and Aim Page 1
Contents Page 2
9×9 Grid Investigation Page 3
8×8 Grid Investigation Page 5
7×7 Grid Investigation Page 7
6×6 Grid Investigation Page 9
5×5 Grid Investigation Page 11
9×9 Grid Investigation 180º Rotated T-shape Page 13
8×8 Grid Investigation 180º Rotated T-shape Page 15
7×7 Grid Investigation 180º Rotated T-shape Page 18
6×6 Grid Investigation 180º Rotated T-shape Page 20
5×5 Grid Investigation 180º Rotated T-shape Page 22
9×9 Grid Investigation 90º Clockwise Rotated T-shape Page 24
8×8 Grid Investigation 90º Clockwise Rotated T-shape Page 26
7×7 Grid Investigation 90º Clockwise Rotated T-shape Page 28
6×6 Grid Investigation 90º Clockwise Rotated T-shape Page 31
5×5 Grid Investigation 90º Clockwise Rotated T-shape Page 33
9×9 Grid Investigation 90º Anti-Clockwise Rotated T-shape Page 35
8×8 Grid Investigation 90º Anti-Clockwise Rotated T-shape Page 37
7×7 Grid Investigation 90º Anti-Clockwise Rotated T-shape Page 39
6×6 Grid Investigation 90º Anti-Clockwise Rotated T-shape Page 41
5×5 Grid Investigation 90º Anti-Clockwise Rotated T-shape Page 43
Conclusion Page 46
Investigation Part 1
9×9 Grid size investigation
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12
21
T-number - 21
T-total - 21+12+2+3+4
= 42
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13
T-number - 22
22
T-total - 22+13+3+4+5
= 47
Algebra
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T-total = (Tn - 9) + (Tn - 17) + (Tn - 18) + (Tn -19) + Tn
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