## Three-dimensional Hilbert curves

This page contains renderings of the third-order approximating curves of several different three-dimensional Hilbert curves. The names of the curves are explained in:

**How many three-dimensional Hilbert curves are there?**
By Herman Haverkort.

*Computing Research Repository (arXiv.org)*, 1610.00155, 2016.

text;

software;

list of curves (to test whether the software works correctly on your system).

The figures below are produced with the software that comes with the article, plus a POV-ray include file (currently not included in the package) tailored to certain classes of curves. The curves shown below are not a representative selection of three-dimensional Hilbert curves: they were chosen to look good with the styles of rendering used here.

##### Curve: Cd00.ct.7h

##### Curve: Cd11.ct.3E

##### Curve: Na11.cv.4h

##### Curve: Ce11.ct.P9

##### Curve: Ne00.ct.P9

##### Curve: Na01.cv.Jh

##### Curve: Se17.vc.ZJ

##### Curve: Cl00.cf.ff.dd

##### Curve: Se07.cv.J9