Definition
[[{{{PageTitle}}}|Suspended Circle ]] | |
Type | Abstract |
Panels | 44 × |
Rods | 353 × |
Spheres | 131 × |
Author | Jeffkoslo 22:05, 3 May 2007 (UTC) |
A fully suspended closed circle on two support legs. The loop is composed of 34 segments, alternating trianges with pyramids.
Building Instructions
- Create the bottom arc of 9 segments.
- Add the support legs downward from the ends of the arc.
- Continue adding segments upwards to complete the entire circle.
- Keep the two sides balanced as you are building upwards.
Calculations
let alpha = arcsin(1/sqrt(3)) = 35.264 degrees, be the semi-apex angle of an equilateral square-based prism.
(A mnemonic for this is that the inclination of a face is 54.7 degrees, which is the complement, and is half the well-known "bond angle of methane" at 109 degrees 28 minutes, which I've always remembered for some reason).
Then each segment of the curve moves through 2*alpha - 60 degrees = 10.528 degrees
So, 34 segments move trough 357 degrees, which is close enough to absorb.
Examples
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