Teaching guide
How to Choose 3D Graph Sampling Density
Higher samples look smoother but require more browser work.
Use the interactive graph first, then connect the visual shape to the written rule.
Classroom check
Q: Why not always use maximum samples?
A: High sampling can slow low-power devices without improving the lesson.
Try it yourself
Use the interactive calculator below to experiment with this concept.
Related guides
Graph z=f(x,y)
Type a formula, choose x and y ranges, then rotate the result to inspect slices.
Saddle vs Minimum
A saddle curves up in one direction and down in another, unlike a true minimum.
Surface and Contours
Contours are horizontal slices of the 3D graph projected into 2D.
Teacher Setup
Use locked views, hidden formulas, and reveal prompts for classroom embeds.