By Alex Preiss

When representing space in the digital there is a clear hierarchy from Cartesian point to: line, surface, and solid. Therefore beneath any complicated curvature in the digital is a complex network of points, lines, and surfaces. Software allows a user to hide this embedded information. Quadrilattice attempts to represent this complexity between the Cartesian grid and the complex solid.

In this work the traditional x,y,z coordinate system has been abstracted and is represented by the oblique grid. The resulting lattice was derived using a Euclidean cube as the source of intersections between 3 extruded regular quadrilaterals. This intersection is unique in its ability to maintain a coplanar surface connection between each quadrilateral and its two neighbors. Here, regular triangles represent half of each quadrilateral. The resulting lattice has incredibly strong surface adhesion connections which tessellate in three dimensions creating a space frame that requires no hardware. The result is a doubly curved solid supported by a complex network of connections, attempting to embody the digital hierarchy.