This article explains how to use Ellipse to create an ellipse.


On the Grasshopper, it is represented by either of the two above.
Creating an Ellipse
Ellipse can be used to create an ellipse.

Enter information on the location where the ellipse is to be created in the Ellipse(P).
In this case, the coordinate data of 100,100,0 is input.
In the Ellipse(R1 and R2), enter the numerical values of the radius in the two directions of the ellipse, respectively.
This time, 100 is entered for R1 and 50 for R2.

An ellipse centered at coordinates 100,100,0 is now created.
In this case, the horizontal direction has a radius of 100 and the vertical direction has a radius of 50.

The location information of the Ellipse(P) can also be specified with point data.
This time, we input the coordinates we just entered into Point and created a point at 100,100,0.

Then, an ellipse centered on the point was created as shown below.

Components used: (1) Unit X (2) Unit Y (3) Construct Plane (4) Ellipse
The location information of the Ellipse(P) can also be specified in a plane.
In this case, we used Construct Plane to create a plane at coordinates 100,100,0 with Unit X and Unit Y having the x-axis in the horizontal direction and the y-axis in the vertical direction.

Then, as shown in the image above, an ellipse centered at the origin of the plane was created.

If no position information is specified for the Ellipse(P), an ellipse centered at the origin is created.

As shown in the image above, an ellipse centered on the origin has been created.
Data Output from Elipse

Let’s look at the data output from Ellipse.
The Ellipse(E) outputs the curve data of the ellipse.

As you can see, the curve data of the ellipse is output.

The Ellipse(F1 and F2) output the focal point data.

The focal point is the point where the length of the line connecting the two points of the ellipse to one point on the curve of the ellipse is always constant.
In the above image, the length of the green line is always constant.

Thus, even if the position of a point on the line changes, the total length of the line remains the same.

Focal points with such properties are output from the Ellipse(F1 and F2).
List of Grasshopper articles using Ellipse component↓
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