Explore the mesmerizing Butterfly Curve with this calculator. Visualize the elegant mathematical pattern it creates.

Butterfly Curve

Purpose

The Butterfly Curve function generates a beautiful mathematical curve known as the Butterfly Curve based on the input variations.

Use Cases

• Use this function to create visually appealing and intricate butterfly-shaped curves.
• Explore the beauty of mathematical patterns through the visualization of the Butterfly Curve.

How to Use

1. Enter the number of variations you want to see in the curve.
2. Click on the "Generate" button to create the Butterfly Curve.

Input Values

1. Variations - Number of variations in the curve. Default unit is count. This value determines the complexity and detail of the Butterfly Curve.

Output Values

1. Chart - Visualization of the Butterfly Curve with the specified number of variations. The output is a graphical representation of the mathematical pattern.

Any other Instruction

• Experiment with different values for variations to see how the curve changes.

Calculation Steps

1. The function calculates the x and y coordinates of points on the curve based on the mathematical expression provided.
2. It plots these points to create the Butterfly Curve.

Technical Parameters

• variations

Return Values

• chart

Example Expressions

You can use the following expressions to directly evaluate in a non-interactive manner using eval():

butterfly(variations=500)
butterfly(variations=1500)

Click on Help icon to open the help page on a separate window.