Dome Maths

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 3/8th 5/8 Sphere Image
1V Dome
A 1.05146 25 30
5-way connectors 6 12
4-way connectors 5 0
2V Dome
A .61803 35 60
B .54653 30 60
4-way connectors 10 0
5-way connectors 6 12
6-way connectors 10 30
3V Dome
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
4V Dome
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
5V Dome
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 ?? ??
6V Dome
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 ?? ??

 

Equations for Calculator

  • Circumference = π 2r
  • Area of a circle = π r2
  • Surface area of sphere = 4 π r2
  • volume of a sphere = (4/3) π r3

Angles

The bending angles are as follows:
1v dome: bend 32º on each end
2v dome: bend A’s 18º, and B’s 16º on each end
3v dome: bend A’s 10º, B’s and C’s 12º on each end
4v dome: bend all struts 7º-9º on each end
5v dome: bend all struts 6º-7º on each end
6v dome: bend all struts 5º-6º on each end

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