Geodesic
Regular Skew Polyhedra in Hyperbolic Three-Space
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1179-1186

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The study of regular skew polyhedra was initiated in 1926 by Petrie's discovery of two infinite polyhedra in Euclidean three-space E3 which were free of false vertices; the only other regular skew polyhedron in E3 was found by Coxeter (1, pp. 33-34). The simplest of these is denoted {4, 6 | 4} and is derived from the space-filling of cubes by omitting half the faces. 
Garner, Cyril W. L. Regular Skew Polyhedra in Hyperbolic Three-Space. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1179-1186. doi: 10.4153/CJM-1967-106-9
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[1] 1. Coxeter, H. S. M., Regular skew polyhedra in three and four dimensions, Proc. London Math. Soc. (2), 48 (1937), 33–62. Google Scholar

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