Artists

Joan Esparraguera Vidal

Origami crafter

Catalunya, Spain

batiajoan@gmail.com

Josep Tarrés

Engineer

Mathematics Museum of Catalonia

Girona, Catalonia, Spain

jtarrest@gmail.com

Statement

Joan Esparraguera has always been a restless person attracted by the interrelation of forms with mathematics. Observer and creative, with some engineering studies, he has become a big fan of origami for six years. Creative and hardworking, he has created and developed different designs on display in an exhibition hall. Together with his son, Oriol Esparraguera, he has started projects still in development that will surely have an unprecedented level. His work is marked by extraordinary intuition and sensitivity.

Artworks

Image for entry 'Star from dissected pentachorons'

Star from dissected pentachorons

25.0 x 15.0 x 15.0 cm

Origami paper

2024

Star from dissected pentachorons by Josep Tarrés and Joan Esparraguera. The pentachoron (4-simplex, 5-cell) can be shown as a regular tetrahedron by adding a fifth vertex at the centroid tetrahedron with its edges to the other vertexes. The dissected pentachoron (DP) comes from of its partitioning in 2 equal polyhedral forms; each one is made of 2 equilateral pyramids. Furthermore, the dissected pentachoron, as a concave polyhedron, has a diagonal outside the cover. Whenever2 DPs are joined by face in a way that the 2 diagonals do not cross and the final polyhedron is shown in a vertical way, there is a nice artwork: a look alike star with 5 outer vertices and 2 inner vertices.