3D Surface Plotter

This application creates an interactive 3D surface plot of the mathematical function:

{{ "f(x,y) = x^{3.7} + y^{1.5} - 5" | katex }}

This function combines two terms with different powers:

{{ "x^{3.7}" | katex }}: A term that grows rapidly as x increases, with a fractional exponent of 3.7
{{ "y^{1.5}" | katex }}: A term that grows more slowly with y, with an exponent of 1.5
-5: A constant that shifts the entire surface down by 5 units

The 3D surface plot provides several interactive features:

Hover Information: Move your cursor over any point on the surface to see its exact (x, y, z) coordinates
Rotation: Click and drag to rotate the plot and view it from different angles
Zoom: Use your mouse wheel or pinch gesture to zoom in and out
Pan: Right-click and drag to pan the view

You can adjust the x and y ranges to explore different regions of the surface:

Note that the y minimum should be non-negative since {{ "y^{1.5}" | katex }} is only defined for {{ "y \\geq 0" | katex }} in the real number system.

The surface is colored using the Viridis color scale, where:

This color mapping helps visualize the height variations across the surface.