08 · Epsilon laboratory
Move the points. Watch the hull.
Slide ε continuously from 0 through 5. In dimension three the polytope moves in space; in higher dimensions exact face counts replace a misleading projection.
Stable open stratum0 < ε < 1/2
Learning goal
Separate continuous vertex motion from discrete changes in the hull’s face lattice.
Current stratum0 < ε < 1/2Inside the paper’s intended range
Defining points / vertices12 / 12
f-vector
(1, 12, 22, 12, 1)- f-11
- f012
- f122
- f212
- f31
Generated atlas: SciPy facet discovery followed by exact SymPy support, rank, and determinant checks. Event marks are clickable; rotate, pan, and zoom the n = 3 hull directly.