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| Topic: |
Miscellaneous
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| Number of pages / Number of words: |
17 / 4501 |
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I say this because a circle is the shape with the largest area for its perimeter, and all the area is bunched together. When my triangles are bunched together, many of their vertexes shared dots with many other triangles, therefore there are much more dots enclosed than if the triangles were laid in a line
10 Triangles (T=10):
P=
D=
T=
8cm
2
10
10cm
1
10
12cm
10
15 Triangles (T=15):
P=
D=
T=
11
3
15
13
2
15
15
1
15
17
15
16 Triangles (T=16):
P=
D=
T=
10cm
4
16
12cm
3
16
14cm
2
16
16cm
1
16
18cm
16
20 triangles (T=20):
P=
D=
T=
12
5
20
14
4
20
16
3
20
18
2
20
20
1
20
22
20
It is obvious with all these tables that as P increases, D decreases...
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The two values are inversely proportionate. As t remains constant, I suspect that some combination of P and D will give T, on account of one going up and the other going down.
If you look at all these tables, you will see that where D=0, P is always 2 more than T. This can be written as P-2 +/- D=T...
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