Four dimensions, sliced open
4D Polytope Explorer
Drag the w slider to move a three-dimensional moment through a four-dimensional solid, switch between perspective projection and exact cross-sections, and orbit the result with the mouse.
4D perspective
Tesseract
Starting the 3D viewport…
Controls
The hypercube: eight cubic cells, sixteen vertices, thirty-two edges.
w = 0.00
Speed
d = 2.40
Move the 4D viewpoint closer to the solid and the near cells swell while the far ones shrink.
Keyboard: ← / → step w by 0.05, space plays or pauses, tab reaches every control. Mouse: drag to orbit, scroll to zoom.
Slice & projection info
16
vertices
32
edges
Bounding extent
| x | −1.71 … 1.71 |
| y | −1.71 … 1.71 |
| z | −1.71 … 1.71 |
Counts are for the full projected solid; the extent covers the projected geometry.
Snapshots
Saves the current shape, w, projection mode, camera angle and speed to this browser.
Loading snapshots…