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THE FEUTEX TOOLKIT

Superellipse Boundary Point

Locate a point on a rounded rectangle or diamond-like superellipse using its exponent.

Geometry workspace● Runs in your browser
01 Your input
02 Your result
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FormulaX = a*cos(t*PI/180)**(2/n); Y = b*sin(t*PI/180)**(2/n)
Sources and model references

Made for real tasks

  • Locate a point on a rounded rectangle or diamond-like superellipse using its exponent.
Explore step-by-step workflows →

Worked example

Inputs

Half width
5 length
Half height
3 length
Superellipse exponent
4 exponent
First-quadrant angle
45 degrees

Expected results

X
4.204482076 length
Y
2.522689246 length

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter half width, half height, superellipse exponent, first-quadrant angle.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "a": 5,
  "b": 3,
  "n": 4,
  "t": 45
}

Accuracy and scope

First quadrant only. n=2 gives an ellipse; mirror coordinates for other quadrants.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.