description Angels and Devils Overview
Angels and Devils, also known as Circle Limit IV, is a woodcut by the Dutch artist M.C. Escher. The image uses a disk-based composition derived from hyperbolic geometry to arrange interlocking angels and devils around a central point. The figures decrease in size toward the boundary while remaining part of a continuous repeating pattern, creating an image in which recognizable forms and mathematical structure are inseparable.
help Angels and Devils FAQ
Who created Angels and Devils?
Angels and Devils was created by the Dutch artist M.C. Escher. It is also known as Circle Limit IV.
What mathematical idea structures Angels and Devils?
The composition uses a disk-based arrangement derived from hyperbolic geometry. Angels and devils repeat around the circular field while shrinking toward the boundary.
Why do the figures become smaller toward the edge?
Escher uses a hyperbolic disk model in which repeated figures appear to contract toward the boundary. This creates the visual impression that the angels and devils continue beyond the image.
How are the angels and devils arranged in Circle Limit IV?
They interlock around a central point in alternating, repeating patterns. The woodcut uses the circular format to make opposing figures share the same geometric structure.
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