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T-Totals.
Member rating: No Rating | Words: | Submitted: Tue Nov 18 2003
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T - Totals Investigation T-Totals Introduction: This is an investigation on T-totals. By starting with a 9x9 grid, and numbering it, so the top left corner numbered with one and work downwards. An example of the grid is shown below. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 The investigation will be done with a standard T-shape which is 3 along and from the centre 2 more down. As shown below. 2 3 4 12 21 This is the t-number for a T-shape. The T-total is all the numbers in the T-shape added together. The T-total for this specific example is: 2+3+4+12+21=42. Plan: Part 1 - I will investigate the relationship between the T-total and the T-number on a 9x9 grid. Part 2 - I will investigate the relationship between the T-total, T-number and grid size. PART 1: Diagrams: 20 21 22 30 39 52 53 54 62 71 20+21+22+30+39=132 52+53+54+62+71=292 T-total = 132 T-total = 292 4 5 6 13 14 15 22 23 24 4+5+6+14+23=52 T-total = 52 From now on: Let T-total be T! Let T-number be n! Now I have shown some examples, a table is required so the formula...
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