T-Shape Investigation
Firstly, I am going to look at the relationship between the t-number
and the t-total. I am going to refer to these terms using the letters
N and Z:
n = t-number
z = -total
I will take the first t-shape at the top left of a 9 x 9 size grid.
1
2
3
4
10
11
12
13
19
20
21
22
28
29
30
31
37
38
39
40
N= 20 Z = 37
I predict that if I move the t-shape to a different location the
t-total will be the
t-number + 17 (n+17)
1
2
3
4
5
6
7
10
11
12
13
14
15
16
19
20
21
22
23
24
N= 2325
28
29
30
31
32
33
34
37
38
39
40
41
42
43
If my prediction is correct, t-total should equal 40 (23 + 17 = 40)
Z = 4+5+6+14+23=52
My prediction is not correct. I will move the t-shape to the right and
tabulate my results to see if there is a pattern.
n
20
23
26
z
37
52
67
The t-total is in creasing by 15. Using first differences I will try
to find a formula.
n
20
23
26
15n
300
345
390
-263
-293
-323
z
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