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Computing coordinates on an ellipse...

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scott-zelenak
(@scott-zelenak)
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I love architects...well, maybe not...

Here's the design;
This clarification is based on information provided in the supplemental response to RFI TH-05654 dated 7/16/15.

The axis to the apex of the east and west cones are perpendicular to the ground plane and are not rotated. The apex of the east cone is located at the intersection of Axis W and Axis +14. The apex of the west cone is located at the intersection of Axis W and Axis -14.

The ellipse edge is formed when the cone is truncated by a sloped surface and is represented by points WP E‰Ûª.

Eastside
Ellipse center point is located 9/16‰Û west of Axis +14 and falls on Axis W.
Ellipse center point elevation is at 318.868‰Ûª
Ellipse semi major Axis which runs parallel to Axis W and parallel to the ceiling slope = 6‰Ûª-3 3/4"
Ellipse semi minor Axis which runs parallel to Axis +14 = 6‰Ûª-3 11/16‰Û
The ellipse ceiling slope is 1.33 degrees descending westward.

So, I sketch up the given data;

Then I compute;
1. the angles on the ellipse based on the tilt of the plane and the circular angle.
2. the coordinates given the elliptic angle.
3. and, the radius of the ellipse at each coordinate.

I actually enjoy doing things like this.
I think they call it "Stockholm syndrome"...

The Oculus ellipses (there's many ellipses here);

A sloped elliptical ceiling;


A round elevator, the "bell" shaped ceiling of which is the main focus of the comps,

Fun, little details, like elliptical and spiral glass guardrails,

And elliptical marble column facades,

Laying out the elliptical sloped ceiling at elevator 18,


 
Posted : April 20, 2016 8:15 am
said-lot
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Impressive project(s)!


 
Posted : April 20, 2016 8:24 am
james-fleming
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Is it just me, or does "The Oculus" sound like something a super-villain would build?

Well Mr. Bond, it seems you've stumbled onto the Oculus Device; unfortunately for England you've arrived too late to thwart my plans. :woot:


 
Posted : April 20, 2016 8:28 am