a mountain range with level curves and gradient field

This interactive web application is a visualization tool that uses a mountain range to demonstrate the concept of a gradient. It displays the mountain's topography, represented by its height function, along with level curves (also known as contour lines) and a gradient field. The level curves connect points of equal height, appearing closer together in steeper areas. The gradient field is shown as black arrows. The direction of each arrow indicates the direction of steepest ascent (uphill), which is always perpendicular to the contour lines. The length of the arrows represents the magnitude of the gradient, with longer arrows signifying steeper slopes.

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