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I've gotten several requests for the formulas behind the dome calculator, so here they are!
First of all, you need this simple formula:
dome radius = strut length/strut factor
which is the same as:
strut length = dome radius * strut factor
Now all you need are the strut factors!
Strut |
Strut factor |
Dome |
Sphere |
|
A |
1.05146 |
25 |
30 |
|
5-way connectors |
6 |
12 |
4-way connectors |
5 |
0 |
Strut |
Strut factor |
Dome |
Sphere |
|
A |
.61803 |
35 |
60 |
B |
.54653 |
30 |
60 |
4-way connectors |
10 |
0 |
5-way connectors |
6 |
12 |
6-way connectors |
10 |
30 |
Strut |
Strut factor |
3/8 |
5/8 |
Sphere |
|
A |
.34862 |
30 |
30 |
60 |
B |
.40355 |
40 |
55 |
90 |
C |
.41241 |
50 |
80 |
120 |
4-way connectors |
15 |
15 |
0 |
5-way connectors |
6 |
6 |
12 |
6-way connectors |
25 |
40 |
80 |
Strut |
Strut factor |
Dome |
Sphere |
|
A |
.25318 |
30 |
60 |
B |
.29524 |
30 |
60 |
C |
.29453 |
60 |
120 |
D |
.31287 |
70 |
120 |
E |
.32492 |
30 |
60 |
F |
.29859 |
30 |
60 |
4-way connectors |
20 |
0 |
5-way connectors |
6 |
12 |
6-way connectors |
65 |
150 |
Strut |
Strut Factor |
Dome |
Sphere |
|
A |
.19814743 |
30 |
60 |
B |
.23179025 |
30 |
60 |
C |
.22568578 |
60 |
120 |
D |
.24724291 |
60 |
120 |
E |
.25516701 |
70 |
120 |
F |
.24508578 |
90 |
120 |
G |
.26159810 |
40 |
60 |
H |
.23159760 |
30 |
60 |
I |
.24534642 |
20 |
30 |
4-way connectors |
?? |
0 |
5-way connectors |
6 |
12 |
6-way connectors |
?? |
?? |
Strut |
Strut Factor |
Dome |
Sphere |
|
A |
.1625672 |
30 |
60 |
B |
.1904769 |
30 |
60 |
C |
.1819083 |
60 |
120 |
D |
.2028197 |
90 |
180 |
E |
.1873834 |
30 |
60 |
F |
.1980126 |
60 |
120 |
G |
.2059077 |
130 |
240 |
H |
.2153537 |
65 |
120 |
I |
.2166282 |
60 |
120 |
4-way connectors |
?? |
0 |
5-way connectors |
6 |
12 |
6-way connectors |
?? |
?? |
|