The Loop-Log project is based on the self-referential duality of Hyperbolic Polyhedra documentation – four large-scale double sculptures that reveal the primary geometric progressions evolving from the Triangle to the Square, Pentagon and Hexagon, which respectively compose the Tetrahedron, Cube, Dodecahedron and Truncated Tetrahedron in three dimensions.

Thus, the project is defined as a Log, or digital meta-documentation, describing a Loop cycle of the four sculptures’ characteristics comprising polygonal plans, various static and animated sequences of the double sculptures’ multiple angles. This looped meta-documentation conveying both sides of each documented work reveals a concave and convex duality as two internally consistent worlds that when juxtaposed produce a completely inconsistent or paradoxical composite world.

Loop Log comprises Loop Hyperbolic Polyhedra - four looping GIFs from the sculptures’ photographic documentation, Log Hyperbolic Polyhedra - four small light boxes printed with the GIFs photographic sequences and Proto Hyperbolic Polyhedra - four black and white outlined images on paper that when cut-out and glued together form sculptures as the original sculptures. These polyhedra plan or drawings/sculptures may eventually be cut out and assembled producing a large polyhedron, i.e. a new sculpture.

Hyperbolic Polyhedra is a sub-series of the Hyperbolic Hyparxis project and at the request of Margarida Sardinha, the documentation of that project was endeavoured by Ivo Cordeiro. Thus the photographic images of Loop Log project are of his technical authorship.

Loop Log was exhibited at the digital arts cycle Machines to the End of Real in Ericeira and Loop Hyperbolic Polyhedra was selected for the New Art Fest ’17 TOMI Open Call