Inspired by recent groundbreaking studies that examine the possibilities of higher dimensions above our three-dimensional one, this piece explores the convergence between art, geometry, mathematics, and architecture. The work aims to achieve a higher dimensional urban model that speaks about the relationship between two dimensions and three dimensions in order to grasp what the fourth dimension is about.

CONCEPTUAL BASIS

 

A good introduction to the idea of multidimensional space comes from the understanding of higher geometry. In 1884, Edwin Abbot wrote Flatland: A Romance of Many Dimensions, a satirical novel that illustrates how a higher dimension can be viewed and understood from a lower dimension.

Once one starts to understand the possibility of higher dimensions, a world of endless possibilities and unseen realities, starts to gain approval.

 

 

This dimensional projection is a scale model of 15 different paper solids that have ink drawings on them ranging between 13 and 4 inches in height.  These volumetric forms are designed as packages, namely, as boxes that can be assembled and dissembled from two-dimensional to three-dimensional forms. There is no need for glue or tape, these structures have lids and are self-locking nets to enclose the polyhedra.

 

The volumes lie over a 38"x50" ink drawing on paper in a specific order, matching the base drawing and revealing the graphical projection. The end result is an urban landscape, a two-dimensional / three-dimensional drawing that should be displayed in a table at a height of approximately 30 inches height. A detailed description of the installation and assemblage of the piece are included in the package.

 

 

The piece is inspired by the idea of the "Field Model" which comes from the study of the flat space in relationship to the solid space, and it provides a great tool in geometry to understand the possibility of a 4th dimensional universe.  In the field model, all lines in the surface of solids can be projected onto the plane, creating a mirrored image of the three-dimensional world into the two-dimensional one; this projection is called "graphical projection"

 

The use of Platonic and Archimedean solids in this proposal is a reminder that knowledge from the past is what impulses and motivates pioneering discoveries in the present, emphasizing on the idea that "Nothing Belongs to Us"

 

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