7. The Fourth Dimension III

GA 91/1906-08-25/p006 ·1906-08-25 · English MediumMedium alignmentSome paragraph re-numbering between this translation and the German original — the locus may slip by a paragraph or two.
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In the same way, a cube can be thought of as passing into the fourth dimension. It must plunge into the center with its three dimensions terminating in its eight corners; the eight corners then coincide with the center. To the outside then the intersecting surfaces of eight cubes arise, which, each standing on a corner - standing in the center - in which the opposite corner is folded back, appear cut through. These cut faces form hexagons. Thus, when a cube transitions to the fourth dimension, to the midpoint, the boundaries of that point form the eight cubes standing on their tops, folded back into themselves, with eight hexagons as the cut faces outward.

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Cite: GA 91/1906-08-25/p006 · edition English