A METHOD FOR OBTAINING THE TESSERACT BY

UNRAVELING THE 4D HYPERCUBE

Antonio Aguilera Ramírez Ricardo Pérez Aguila

Centro de Investigación en Tecnologías de Información y Automatización (CENTIA)

Universidad de las Américas - Puebla

Ex-Hacienda Santa Catarina Mártir, Zip Code: 72820

Cholula, Puebla, México

aguilera@mail.udlap.mx, is104378@mail.udlap.mx

ABSTRACT

This article presents a method for unraveling the hypercube and obtaining the 3D-cross (tesseract) that corresponds to the hyper-flattening of its boundary. The hypercube can be raveled back using the method in an inverse way. Also a method for visualizing the processes is presented. The transformations to apply include rotations around a plane (characteristic of the 4D space). All these processes can be viewed using a computer animation system.

Keywords: 4D-Modeling, 4D-Animation, Computational Geometry.