The images on this page are created with metaphorical hyperobjects. A square within a square is a 2-D representation of a cube. By analogy a cube within a cube is a 3-D representation of a 4-D cube; it is a hypercube. Although this analogy is not so clear cut for other classes of geometrical solids, I have modeled these objects as if it did. Thus I refer, metaphorically, to a sphere within a sphere as a hypersphere.

Simple hyperobjects: I use this term to refer to geometrical solid with a smaller version of itself inside itself.

Hybrid hyperobjects: I use this term to refer to a geometrical solid with a different geometrical solid inside of it.

The Klein bottle is created from a single surface. It is something like a higher dimension mobius strip. For more on the Klein Bottle Click Here.

To understand a higher dimension object, it must either be transparent or viewed from within. Through the wonders of 3-D modeling I have placed the viewer inside of these objects. They are modeled in reflective material and the colors come from the color of the material or from colored lights. They are animated either by moving the model or moving the camera through the model.

If you would like to know more read my paper "Exploring Hyperobjects: A Metaphor of Higher Dimensions".

Many of the images on this page link to animations of the objects or larger views.