Regular Hexagonal Toroidal Solids

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

Regular Hexagonal Toroid with 15 faces (type A) (knot form 2)
knot form 2
Vertices:  30  (30[3])
Faces:15  ({10 + 5} nonconvex hexagons)
Edges:45  (6 different lengths)
Symmetry:  5-fold Dihedral  (D5)
Edge 1 (10):  sqrt(5*(5979−520*sqrt(5)))/165    ≈0.94049248100767717246
Edge 2 (5):  (5*sqrt(31)+sqrt(155))/15    ≈2.6859147608092561324
Edge 3 (5):  (3+5*sqrt(5))/3    ≈4.7267799624996494940
Edge 4 (10):  4*sqrt(2*(597+265*sqrt(5)))/33    ≈5.9122646060921658488
Edge 5 (5):  sqrt(2*(1565+649*sqrt(5)))/11    ≈7.0607846324896996318
Edge 6 (10):  8*(20+11*sqrt(5))/33    ≈10.8113327884842876753
Volume:(1742839+802497*sqrt(5))/35937    ≈98.429942503259836158