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.