The exposition continues with concrete material objects and how they are affected by converging systems laid over them. Studies are undertaken of transparent normal objects in space and the displacements they suffer when being viewed within two competing coordinate systems.
'Use the whole sheet of paper as in the perspective view of a room in which objects, figures are drawn in some cases passing through the floor, ceiling and walls.---/'

Fig.133. Room and transparent objects according to the regulating lines of one coordinate system within it. Through the transparent objects one can see the ceiling, floor etc...

Fig.134. Room and transparent objects constructed according to the regulating  lines of another coordinate  system.

Fig.135. Superimposition of these transparent objects sometimes following the converging lines regulating one system, sometimes the other. This provides a double image.

Fig.136. Transparent objects when their converging systems have been removed, sometimes obeying one system sometimes the other. The resulting objects flicker toward different vanishing points in a labile manner.

'---/ It is possible that some of those effects may have already arisen in the 'Burin Experiment'.
Burin Experiment' explained: draw several complex abstract figures one of which will be solid and heavy. They appear flat on the surface of the paper.'The Burin Experiment' elaborated: use a system with one vanishing point plus horizontal and vertical parallels. Following the order of axes x,y and z make a trace throught the system originating at one edge and avoiding the vanishing point. Within this, are situated some solid areas which will be distorted by the perspective. The same solid areas will be apparently differently displaced.'

.XVIII. Demonstration showing the transformation of space by horizontal and vertical lines and convergent axis. S.W. Hayter
'New Ways of Gravure', fig 23, p. 60, New York, Watson-Guptill Publications, 1981
This still gives depth although the depth-yielding system has been removed.

The same experiment but employing two vanishing points with horizontal and vertical parallels. The traced figures being guided arbitrarily by one or the other. This produces a rich ambiguous shifting of the traced figures while the black surfaces remain suspended at different but stable locations.

Fig.137. A similar experiment using curved coordinates, a few alternately filled in, produces an impression of floating. The filled in sections are sucked toward the vanishing point while the empty traced curves define a non-Euclidean space.

home

back