Regular Hexagonal Toroid with 15 faces (type A) (version 1)

(box: x-ray) (F: faces) (slider: perspective) (image: L=rotate R=zoom) (M: metrics)

Vertices:	30 (30[3])
Faces:	15 (5 convex hexagons + 10 nonconvex hexagons)
Edges:	45 (10 short + 30 medium + 5 long)
Symmetry:	5-fold Dihedral (D5)
Short Edge (10):	3−sqrt(5)	≈0.76393202250021030359
Medium Edge (30):	sqrt(5)−1	≈1.2360679774997896964
Long Edge (5):	sqrt(4(5−2sqrt(5)))	≈1.4530850560107217718
Volume:	10(2sqrt(5)−3)/3	≈4.9071198499985979761

References:

[1]

Lajos Szilassi, personal communication