Filmmakers

José Merino Lopez

Artist, interested in Art and Science

Institut Henri Poincaré

Paris, France

josemerino@cegetel.net

http://josemerino.free.fr/

Statement

I create sculptures and synthesis images that bring mathematical concepts to life, making abstract ideas tangible and visually engaging. My work explores the hidden beauty of mathematical structures, often revealing patterns and forms that are yet to be recognized. I am driven by creativity—both artistic and scientific— and aim to inspire the same sense of discovery in others. I’m particularly interested in finding new forms and new geometry theorems. I use digital tools to create my artwork, often with new algorithms, and industrial architectural means to materialize the monumental permanent sculptures in public places. I invite viewers to interact with concepts, sparking new connections between mathematics, art, and their own imagination. The “Development of a 5-Hypercube in R^3” has been accepted for the Bridges Art exhibition. The short film “Unfolding the Hypercube 5-Dimensions in 3-Dimensions” explains how the artwork has been created.

Films

Image for entry 'Unfolding the Hypercube 5-Dimensions in 3-Dimensions'

Unfolding the Hypercube 5-Dimensions in 3-Dimensions

00:03;37

José Merino, Institut Henri Poincaré. Paris.

2025

Watch

Can you imagine a cube in five dimensions? Is it possible to unfold this 5-cube into a 3-dimensional structure? Let’s start with the hypercube in 4 dimensions or tesseract. To construct a tesseract, we begin with a cube, duplicate it, and translate it along the fourth dimension. Then connect the corresponding faces with six additional cubes. The result is a structure composed of eight cubes. Let’s unfold a tesseract in a way that helps us unfold a 5-cube : We first unfold the original cube and its duplicate and connect the corresponding faces with six cubes. In 5 dimensions : We take a tesseract, copy it along the fifth dimension, and connect the corresponding cubes with six new cubes. This results in a structure made of ten tesseracts with 40 cubes. Start by unfolding the faces of the first and second tesseracts and build the connecting cubes between the corresponding faces of the two unfolded tesseracts. Finally unfold the first two tesseracts … And here it is!