### 1997 Perspective Systems Drawings

##### One-, two-, and three-point perspective projection systems,

developed during the Italian Renaissance to portray deep space,

are commonly used to describe the everyday experience of

our walk-around world. This geometric system is embedded in our

photographic lenses to make the pictures seem "right". We take

this system to be a true and acurate description of three-space.

In the drawings below, made only with points and

lines, this perspective system is altered to show

the possibility of describing three dimensional "spaces"

that are not the one we live in. But while we cannot imagine

walking around in these spaces, we can imagine flying or

somehow navigating through them.

##### The above drawing uses two points to which all the diagonal lines

receed to the imaginary horizon "line". This is a "normal" perspective

grid used to describe everyday walk-around space. But note that there are

areas that don't really describe the third dimension. Below the central

horizontal line, the space is not recessional, but frontal and flat.

Also, along the left and right broaders, the space stretches out to either

side in an inconsistant manner. Only a small area in the top, center

describes recessional space.

##### In a normal space grid, the regular units of space are measured in the

horzontal lines. Here, the curve that swings down from the top to the lower

left corner and the vertical line controls the spacing of the recessional lines.

And these in turn set up the space that we see. As the curved line descends and

move away from the vertical lines, the spacial grid opens up to larger and larger

units of space. We may describe this as the horizon gone vertical and curved.

##### This variation of one point perspective space doesn't read as a normal

perspective space. Only the small squares at each corner of this grid seem

undistorted. The ambiguity of the grid may be read as either contracting or as

receeding space.

##### In this drawing the one point perspective grid seems to radiate from the left.

DANZ ART HOUSE
Resume
1995 The Pythagorean Theorem
1992 In the Company of Men
1990 The Head Game
1975 Inverted Frames
1970 Perspective Grids