×

Three infinite families of tetrahedral space-fillers. (English) Zbl 0286.52008


MSC:

52Bxx Polytopes and polyhedra
51M20 Polyhedra and polytopes; regular figures, division of spaces
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Hilbert, D, Mathematische probleme, Nachr. gesellschaft wiss. Göttingen math.phys. kl., (1900) · JFM 31.0068.03
[2] Sommerville, D.M.Y, Space-filling tetrahedra in Euclidean space, (), 49-57 · Zbl 0004.06903
[3] Somerville, D.M.Y, Division of space by congruent triangles and tetrahedra, (), 85-116 · JFM 49.0411.03
[4] Davies, H.L; Davies, H.L; Davies, H.L, Packings of spherical triangles and tetrahedra, (), Mr, Ref. zh., 36, 12A6511-51, (1967), #3235 · Zbl 0149.17804
[5] Hill, M.J.M, Determination of the volumes of certain species of tetrahedrons, (), 39-52
[6] Dehn, M; Dehn, M, Über den rauminhalt, Math. ann., Göttingen nachr. math. phys., 55, 345-354, (1900) · JFM 32.0486.01
[7] Goldberg, M, The space-filling pentahedra, J. combinatorial theory sect. A, 13, 437-443, (1972) · Zbl 0244.05016
[8] Baumgartner, L; Baumgartner, L, Zerlegung des vierdimensionalen raumes in kongruente fiinfzelle, Math.-phys. semesterber., Mr, 38, 76-86, (1969), #3762 · Zbl 0159.51901
[9] Baumgartner, L; Baumgartner, L, Zerlegung des n-dimensionalen raumes in kongruente simplexe, Math. nachr., Mr, 44, 213-224, (1972), #4634 · Zbl 0232.50005
[10] Danzer, L; Danzer, L, Zerlegung endlichdimensionaler raume in kongruente simplices, Math.-phys. semesterber., Mr, 38, 87, (1969), #3763 · Zbl 0159.51902
[11] Goldberg, M; Goldberg, M; Goldberg, M, Two more tetrahedra equivalent to cubes by dissection, Elem. math., Elem. math., Zbt., 182, 538-132, (1970), correction · Zbl 0182.53802
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.