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On realizing symmetric 3-polytopes. (English) Zbl 0224.52005

52B10 Three-dimensional polytopes
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[1] D. Barnette and B. Grünbaum,Preassigning the shape of a face, Pacific J. Math.32 (2) (1970), 299–306. · Zbl 0193.22501
[2] V. Eberhard,Zur Morphologie der Polyeder, Teubner, Leipzig, 1891.
[3] B. Grünbaum,Convex Polytopes, J. Wiley and Sons, New York, 1967. · Zbl 0163.16603
[4] B. Grünbaum,Planar maps with prescribed types of vertices and faces, Mathematika16 (1969), 28–36. · Zbl 0186.27502
[5] B. Grünbaum,Some analogues of Eberhard’s theorem on convex polytopes, Israel J. Math.6 (1968), 398–411. · Zbl 0174.53702
[6] T. Motzkin,Combinatorial realization of centrally symmetric convex polyhedra, research problem 3–8, J. Combinational Theory3 (1967), 411. · Zbl 0149.19202
[7] G. C. Shephard,Approximating by polytopes with projectively regular facets, Mathematika13 (1966), 189–195. · Zbl 0146.44302
[8] E. Steinitz,Polyeder und Raumeinteilungen, Enzykl. Math. Wiss. 3 (1922), 1–139.
[9] J. Zaks,The analogue of Eberhard’s theorem for 4-valent graphs on the torus, Israel J. Math.9 (1971), 299–305. · Zbl 0222.05103
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