Viewpoint

Viewpoint geometry was developed to explain the relay of artistic ideas from artist to audience. It belongs in the field of aesthetics and is therefore most applicable in the realm of creative ideas and thought. The geometry itself is abstract and not visible within the physical universe. The only tangible physical universe element is the art piece itself, i.e. the painting, song, dance or other final art form. The geometry consists of the lines and spaces that connect the artist to the art and the art to the audience.

Viewpoint geometry has similarities to Projective Geometry. This is because in Projective Geometry one is dealing with a translation of three dimensions to two dimensions and including the concept of infinity. [Viewpoint geometry as will be later shown deals in the possibility of infinite dimensions.]

All art forms are included in the field of Vp (shortened form of Viewpoint from Table of Aesthetic Values), but it was the two dimensional visual art form of the painting or photograph which lead to its development. And it was the application of Projective Geometry to art that led to Vp. A viewer looks at a painting and sees a representation of ideas. His view of the art work in an exact duplication, is a direct view of the artist’s viewpoint. However in reality there is never a total duplication of the artist’s ideas because something is always lost (often intentionally) from the art work. This allows the viewer to enter his own ideas to the work. This provides room for contribution and discussion. The more viewers added, the more convergences of viewpoints. The artist is seeking an infinity of viewpoint as only then can he relay his infinity of creative thought. This is hypothetical but demonstrates the ideal.

Because in Vp one is dealing with a creative influence with unlimited potential for variance, the rules and axioms are limited. The more the variables the less one can delineate absolutes or definite axioms.

Like Projective Geometry the use of the triangle to demonstrate a point to infinity is used. This point (A) is the emanating point of art – the artist himself or herself. His or her infinite ideas then get formed into an artwork (B). The viewer (C) then reverses the geometry to perceive.

The artists infinite idea potential is translated into an infinite audience.

Convergence of Viewpoint

Viewpoint Geometry: In the field of aesthetics it is the viewpoint of the artist and the relay of that viewpoint to others.
The viewer reverses the geometry of the artist to view, perceive, listen, etc. Art therefore becomes a convergence of viewpoint.

Art = Vp∞

Art = Vp1 x Vpn-∞

The bigger the exponent the bigger the art, leading to universality and culture. If art is maximum thought with minimal matter ( M < T ∞ – for more information see the Table of Aesthetic Values) it is also maximum viewpoints. It would seem that the convergence of creative and artistic thought is only brought about by a convergence of viewpoint. In other words viewpoints are the conduit in which art travels.

Axiom 1: Any art form is only one representation of an artists infinite creative possibilities.

Axiom 2: The more described or understood a final art form becomes, the closer one gets to the original artist viewpoint.

Corollary: A sense of mystery, however, is essential to a successful art form. These two points balance.

Axiom 3: The wider the audience and hence the more viewpoints that perceive the final art work, the closer one comes to universality and culture.

Axiom 4: Disparate viewpoints share ideas about an art form and therefore imbue additional ideas into the piece.

Axiom 5: Art is a portal to a creative universe.

Infinite Dimensions

Viewpoint Geometry is a merger of universes, with art as the portal between them.

A three dimensional world assumes the world is square, looked at dead on. However a more accurate perception is a sphere with dimensions infinitely radiating from center: a 360 degree spherical compass: an infinite sphere. This best represents a viewpoint. The geometry of the viewpoint is spherical. Two, three and four dimensional geometry is a construct out of the physical world by the viewpoint (which has infinite dimensions).

Viewpoint geometry is represented by a triangle or two vectors emanating from a single point. This symbolically suggests a “point of view”.

However in reality a viewpoint works best within a sphere. The sphere represents potential space of the viewpoint. And instead of a triangle the viewpoint’s view is probably best represented by a cone emanating from the center. An irregular cone of viewing feeling and perceiving. Certain perceptions are of course spherical such as sound. Typically the cone of view is oblong, right to left, and has various depths depending on the objects and points of dimension. In addition there is an inherent “awareness” of the viewpoint which regulates keeness and quality of perception.

The vectors vary depending upon dimensions and are infinite in emanation. The center point may turn 360 degrees and may move in relation to its surroundings.