Different geometric figures represent different understandings of qualities within consciousness, almost like a formula or code. Residing in all levels and dimensions, such figures can serve as bridges and translators between the varying frequencies of those dimensions.
An example is a cross. In Christianity it represents God or spirit entering matter (vertical line) and joining humanity offering redemption (horizontal line). In the Native American spiritual tradition the cross represents the four directions and the four elements (earth, air, fire, and water), and often includes the next dimension by invoking Great Spirit and Earth Mother as a sort of “z” axis) through the center of the cross.