Of Geometry: Toward a Sphere

Connor Clements

Since the virtual gallery space is not created as collections of matter, but more as a series of points, creating a series of lines, creating a series of faces, which are positioned three dimensionally, the idea of the authenticity of geometric perfection is brought into question. When creating works for a physical, real life space, one works with the understanding that geometric perfection is an abstract ideal to aim towards, working to create the illusion of it whilst also acknowledging it is physically unobtainable due to the limitations of physical matter. A perfectly straight line does not exist, a perfect circle does not exist, a perfectly smooth face does not exist. Everything contains imperfections on some scale, we merely work within the scale we can observe the best we can to communicate the idea of geometric perfection.

Within the virtual space, this is inverted. Points, lines, faces, existing as code but masquerading as matter are fundamentally perfect geometric by nature, and it is the imperfections which need to be created as an additive feature to create the illusion of some form of craft or environmental condition.

The real and virtual space do share one quality however, and that is the inability to create a perfect curve. This is an unobtainable concept in either medium. When attempting this feat with physical matter, there will always be small imperfections in the surface of the materials, as well as minute distortions in the curve itself. When working in the virtual gallery space, the points which arrange to create the lines which create the faces result in all objects in the space being polygonal/polyhedral, accumulations of straight lines no matter how densely packed they may be.