← All models See a projection

4D Immersions

Project a rotating four-dimensional frame into ordinary 3D.

projection from R4 to R3

First, notice

Watch a vertex appear to move through the frame. The motion is a projection, not a new dimension on the screen.

Then, experiment

Move the twist control in small steps to isolate the hidden-axis rotation.

Twist 0.65 Changes the parameter used to draw the model. Detail 64 Lower detail makes the construction easier to inspect. Show construction linesReveal the grid used to render the surface.

Live model4D Immersions

Drag to rotateScroll to zoom

Initializing geometry...

Bright path = a route to trace Grid = construction lines

Make the connection

What changed when you moved one control?

Describe the change before naming it. That habit is the bridge from a visual model to mathematical language.

Next: Real Projective Plane