Moduli space of pentagons Surface in (ℝ/2πℤ)³ defined by Σ rieiθi=0
x = -\ny = -\nz = -\nF = -
Pentagon Moduli
Drag to rotate the view. Shift+drag on the surface to slide the point along it; drag through any face and the point wraps to the opposite face. Wheel = zoom.
Side lengths (drag dividers to redistribute)
Recomputing the surface samples F on a (N+1)3 grid and runs marching cubes; ~50–1500 ms depending on N.
1.00
Pentagon glyphs
900
0.07
Each glyph is the pentagon encoded by its (x,y,z) basepoint, drawn in the tangent plane to the surface with “up” given by the projection of the world z-axis. Glyphs in the singular curve where ẑ ⊥ tangent plane are skipped.