MPEJ Volume 9, No. 4, 13 pp.
Received: Sep 16, 2002. Revised: Sep 10, 2003. Accepted: Sep 18, 2003.

V. Sirvent
Hilbert's Space Filling Curves and Geodesic Laminations

ABSTRACT: We present a modified version of the classical Hilbert's
space filling curve and we associate to this curve a geodesic
lamination on the disk together with a transversal measure.  The
lamination helps us to understand how the points of the interval are
mapped to the square. We generalize this construction to space filling
curves from the interval to the regular $n$-gon.

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