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Carlon Determining the Number of Innerducts Contained in Outerducts User Manual

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Determining the Number of Innerducts Contained in Outerducts

Table 1. Number of Circles, n, Contained in Complete Layers of Circles and Diameter of
Enclosing Circle

Arrangement of Innerducts in Center Pattern (see Fig. I)

n

"A"

"B"

"C"

"D"

"A"

"B"

"C"

"D"

No. of Innerducts, N, Enclosed

Diameter, D, of Enclosing Outerduct*

0

1

2

3

4

d

2d

2.155d

2.414d

1

7

10

12

14

3d

4d

4.055d

4.386d

2

19

24

27

30

5d

6d

6.033d

6.379d

3

37

44

48

52

7d

8d

8.024d

8.375d

4

61

70

75

80

9d

10d

10.018d

10.373d

5

91

102

108

114

11d

12d

12.015d

12.372d

n

**

**

**

**

**

**

**

**

* Diameter D is given in terms of d, the diameter of the enclosed circles.
** For n complete layers over core, the number of enclosed circles N for
"A" center pattern is 3n^2+3n+1; for "B," 3n^2+5n+2; for "C,"
3n^2+6n+3; for "D," 3n^2+7n+4; while the diameter D of the enclosing
circle for "A" center pattern is (2n+1)d; for "B," (2n+2)d; for "C,"
(1+2(n^2+n+1/3)^.5)d; and for "D," (1+(4n^2+5.644n+2)^.5)d.

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