Geometric fantasy
No. 199, 1968
(Extra-mathematical assocations in mathematical images)
India ink and color pencil on paper, 61 x85 cm.
A field of cloaked figures fills a seemingly cavernous space, where rocky plateaus define surrounding walls. Indeed, in this geometric fantasy, the ideas of mathematical infinity and transfinite numbers work their way into the structures depicted in the image. In a sense, each infinity takes on the characteristics of a new number. When one considers an infinite sequence of such numbers, a new infinity appears that can be treated as a number in the next hierarchy. This process is endless, since new infinities can be added and operated on just as if they were ordinary numbers.
