A homeomorphism, also called a continuous transformation, is an equivalence relation and
one-to-one correspondence between points in two geometric figures or topological spaces
that is continuous in both directions.
Many forms observed in nature can be related to geometry. In accordance with classical geometry,
the shapes that found in nature are consisting of lines and planes, circles and spheres,
triangles and cones. These shapes actually are a powerful abstraction of reality, so we need primitive objects to give a form and understand the complex structure that exists in nature.
Our starting point was topography and primitive object’s pertinent points of overlap. The inspiration
comes from the extreme diversity of New Mexico’s landforms (which is divided into four regions; Great Plains, Rocky Mountains, Colorado Plateau, Basin and Range Province), general changes of
topography and homeomorphism.
Our goal is to re-define New Mexico’s topographic map by projecting abstract visual representations
on primitive objects. The primitive geometric “cube(in two cubic towers at the top of Visual Arts Center Building), dome(Digital Dome at the Institute of American Indian Arts) and prism(an installation
that will be in Centre of Contemporary Art) ” will involve a complex morphological and geometrical representation of the information contained in natural images.
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