Bridges 2024 Exhibition of Mathematical Art, Craft, and Design
Joan Esparraguera Vidal, Josep Tarrés
Artists
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
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.