Based upon the geometry of the Trapezoidal HexeContaHedron.
During the late 70's and early 80' I became highly fascinated by Polyhedra and its Duality.
Intrigued by the little known fact that Plato and Archimedes described their wonderful objects by drawing them with just a stick on the sand, I set up to replicate (well, more or less :-) their extraordinary feat by strictly using only a "T" square, a pair of Compasses, a set of 2 Triangles, and a Ruler.
For the next 5 years I practically lived inside Polyhedra :-) and, what I used to call "The Archimedes' Curse", ended up to be, in fact, "The Archimedes' Blessing"!
The Polyhedral Sculptures depicted below were hand made (from scrap offset plates) and assembled with machine screws from stackable modular pieces. The modules were drawn/designed on a drawing table while strictly using only a "T" square, a pair of Compasses, a set of 2 Triangles, and a Ruler. POLYHEDRAL SCULPTURES / Scored and folded aluminium offset plates, machine screws & nuts (©1981)MODULAR POLYHEDRAL LAMP DESIGN (©1981) / Scored and folded aluminium offset plates, machine screws & nuts (©1981)Based upon wonderful knowledge I accumulated hands-on during the 1980's while exploring "the extraordinary spatial diversity that emanates from the sublime order and elegant simplicity that is exemplified by the subject of polyhedra."
(Quote from the Preface to the wonderful book POLYHEDRA PRIMER
by Peter Pearce and Susan Pearce)
I was extremely pleased when, a few years back, Prof. George Hart
(Department of Computer Science, Department of Computer Science, STONY BROOK UNIVERSITY) included some of my Polyhedral Sculptures, alongside work by Buckminster Fuller and other great designers in his comprehensive COURSE STUDY: COMPUTER SCIENCE AND SCULPTURE (pg. 39-40, OPRESCO)
See related designs here:Polyhedral Sculpture #22AIcosidodecahedron PendantPolyhedral Sculpture #22Polyhedral Sculpture #21Polyhedral Sculpture #23Polyhedral Sculpture #21APolyhedral Sculpture #23APolyhedral Sculpture #23BPolyhedral Sculpture #24Polyhedral Sculpture #20Polyhedral Sculpture #25Polyhedral Sculpture #20 APolyhedral Sculpture #27Polyhedral Sculpture #28APolyhedral Sculpture #29BPolyhedral Sculpture #28BPolyhedral Sculpture #30APolyhedral Sculpture #30BPolyhedral Sculpture #30CPolyhedral Sculpture #30DPolyhedral Sculpture #31Desk Toy BALLIcosidodecahedron PendantDodecahedron - PendantDuality of Polyhedra No.1