Dredd - city panning shot by Kieran Belshaw

Order-4 Truncated Tetragonal Trapezohedron (Dual of Gyroelongated Square Bipyramid)

z_(n+1) = ½(i^(12t) * (1 + cos(2πt)) * z_n^-4 + i^(-12t) * (1 - cos(2πt)) * z_n^-4) + c(-1)^n

I constructed this polyhedron as the polar set of a gyroelongated square bipyramid with edge length 1 and centroid (0, 0, 0). The resulting polyhedron has 16 vertices, 24 edges, and 10 faces. The vertex coordinates are:

(±(16 + 4√2 - 2 ⁴√8 - 8 ⁴√2)/7, 0, (4 + 8√2 - 4 ⁴√8 - 2 ⁴√2)/7)

(0, ±(16 + 4√2 - 2 ⁴√8 - 8 ⁴√2)/7, (4 + 8√2 - 4 ⁴√8 - 2 ⁴√2)/7)

(±(4√2 - 4), 0, 6 ⁴√2 - 4 ⁴√8)

(0, ±(4√2 - 4), 6 ⁴√2 - 4 ⁴√8)

(±(4 - 2√2), ±(4 - 2√2), -(6 ⁴√2 - 4 ⁴√8))

(±(4 + 8√2 - 4 ⁴√8 - 2 ⁴√2)/7, ±(4 + 8√2 - 4 ⁴√8 - 2 ⁴√2)/7, -(4 + 8√2 - 4 ⁴√8 - 2 ⁴√2)/7)

And the faces are:

Two squares with edge length (8 + 16√2 - 4 ⁴√2 - 8 ⁴√8)/7 ≈ 1.77375

Blender 2.8 Tutorial | Orderly Tangle - Tetrahedron Star Polylink

Kenzan Tsutakawa-Chinn. Residual Comparison (1), 2017.

Dredd - Peach Trees roof shot by Kieran Belshaw