To make a hole, three dimensions are necessary. In the two-dimensions of the iconic thought
experiment Flatland, organisms that sustain their existence through a digestive system
characterized by two holes, would find themselves split in two along the hole-connecting tube.
And if such a punctured, three-dimensional body starts turning itself inside-out through the
central hole, it acts out something like the fourth dimension, as imagined from its 3-D
For the exhibition Approximately Three Dimensions, the artist Julius von Bismarck (1983) created
artworks that examine three or more dimensions from all angles. In the video installation Space
Beyond Me he translates two spatial and one temporal dimensions into three spatial ones. In
Self-Revolving Torus, the artist uses the analogy of a torus that seems to continuously devour
and disgorge itself, to explain the fourth spatial dimension. Finally, in Platonic Birth, a torusresembling opening forces out platonic bodies from the space within. A sense of inevitability
characterizes the exhibition, much like the more or less three dimensions that continuously
permeate the observer.