wy51ai/edulab — reverse-engineered prompt

Build me a Claude Code skill called edulab that turns solid geometry homework problems into a single interactive HTML lesson page.

A user should be able to give it a text problem, upload a photo of a problem, or ask for a random solid geometry problem. It should solve the problem using coordinate geometry and vectors, then generate a browser ready page with the written solution on the left and a rotatable 3D model on the right. The formulas should render nicely, the important points and lines should highlight as the steps progress, and the final answer should match the calculations exactly.

Start with solid geometry topics like line plane angle, dihedral angle, skew line angle, point to plane distance, and volume for cubes, cuboids, pyramids, prisms, cones, and cylinders. Use exact symbolic math for the calculations, not hand typed answers. Include a finished sample page and command line generation for a few examples. Look up current Claude Code plugin and skills docs online if needed.