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- W2034204197 abstract "The Archimedean screw is a partition of space (more precisely, of a cylinder) into two congruent halves by a minimal surface (the helicoid). Fundamental to its function as a means of raising water are its handedness and an equivalence between continuous rotations and translations. Here a cubic crystalline structure is described that shares these properties. It consists of three infinite periodic minimal surfaces, each bounded by an infinite set of lines in (111) orientations arranged in a BCC lattice. The surfaces partition space into three congruent regions and meet at each bounding line forming 120° angles. Although screw-like rotation of the surfaces about the bounding lines is not an isometry, numerical calculations show that the surface area changes by only small fractions of a percent." @default.
- W2034204197 created "2016-06-24" @default.
- W2034204197 date "1996-09-16" @default.
- W2034204197 modified "2023-09-25" @default.
- W2034204197 title "A cubic Archimedean screw" @default.
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- W2034204197 doi "https://doi.org/10.1098/rsta.1996.0092" @default.
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