Douglas Dwyer
I have always been fascinated by flat patterns changing when
transformed onto a curved surface. We see this when shadows are cast
on a form and when tiles are placed on a dome. A 2D form on a 3D
surface always seems magical to me. I seek to capture such phenomena
with photographs, computer generated imagery and the interplay between
the two.
Escher created three dimensional spaces that never existed with
mathematical precision. He also was very good at conveying a sense
of depth. All without the aid of a computer. Escher wrote: "Curved
ribbons or strips are suited to suggest a three dimensionality… A
system of four theoretically never ending ribbons running over the
surface of the sphere linking at the poles. Both poles are
visible, one externally and one internally through the interspace
between the two ribbons." I convey the same concept using a
computer and an algorithm that draws the furthest away line
segments first. A note provides the equations behind each line:
https://rart.shinyapps.io/dashDotDot/_w_8bafc129/Eschers_Sphere_25April2020.html