A three-dimensional Hilbert curve
- 1 July 1993
- journal article
- research article
- Published by Taylor & Francis in International Journal of Mathematical Education in Science and Technology
- Vol. 24 (4) , 541-545
- https://doi.org/10.1080/0020739930240405
Abstract
Hilbert's geometric generating process for the construction of a surface-filling curve is generalized to lead to a space-filling curve and an analytic-arithmetic representation of that curve is found in terms of the eight similarity transformations that generate it.Keywords
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