Table 12: Logarithmic capacity CL formulas for variously shaped regions in two dimensions.
| Region type | Logarithmic capacity CL |
Intrinsic conductivity
[ ]
|
| Circle of radius a | a | 2 |
|
Ellipse (semi-axes a and b) |
(a + b)/2 | (a + b)2 / 2ab |
| Square of side length a |
[ 2(1/4)] / [
4  3/2] a
 0.59017 a
|
2.1884 |
| Equilateral triangle, height h |
[3(1/3)] / [
4 2] h
0.4870 h
|
2.5809 |
| Right triangle, hypotenuse h |
[55/12 2(1/3)] / [
1010/3 2] h
0.3779 h
|
3.1090 |
|
Isosceles right triangle, hypotenuse h |
[33/4 2(1/4)] / [
27/2 3/2] a
0.47563 a
|
2.8431 |
| Hexagon, side length a |
[3 3(1/3)] / [
28/3 2] a
0.92032 a
|
2.0486 |
| Symmetric n-gon, side length a |
[n (1 + 1/n)] / [
2(1 + 2/n) 1/2
(1/2 + 1/n)] a
|
[tan( / n) /
(2 n)]
[4(1/n) /
2(2/n)]
|
| Semicircle, radius a | (4 / 33/2 ) a | (4/3)3 = 2.3704 |