Suspended Circle

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

1. Create the bottom arc of 9 segments.
2. Add the support legs downward from the ends of the arc.
3. 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 face angle of an equilateral square-based prism.

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

Segment detail

Arc with support legs

More than half way

Almost there

Complete circle

More arcs

Alternate view