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(p) A.V. Baitin, A.A. Lebedev, S.V. Romanenko, V.N. Senchenko and M.A. Scheindlin, High Temp.-High Press. 21 (1990) 157.
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(x) S. Ergun, Carbon 6 (1968) 141.
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R.M. Hazen, The New Alchemists, (Times Books-Random House, New York, 1994).
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The New Alchemists
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Hazen, R.M.1
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69
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6344244712
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note
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More descriptive topological indexes are sometimes used in place of Schlaefli symbols because of the need to further identify nets with the same Schlaefli symbol (n, p). For example the graphite net has the index (6, 3), which is also the index for the square-octagon plane tiling and the pentagon-heptagon plane tiling.
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71
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6344267209
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Explicit Euler equations for 3-, 4- and 5-connected polyhedra elegantly show the existence of the 5 regular convex polyhedra and the semi-regular Archimedean polyhedra.
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72
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6344228748
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For 1-dimension, n and p can be viewed as each being equal to 2. (2, 2) has a number of edges, E, equal to 2. For n-sided polygons, the Schlaefli symbol is (n, 2) and the number of edges, E, is properly equal to n.
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73
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The Geometrical Basis of Crystal Chemistry: Part 7, eds. A.F. Wells and R.R. Sharpe, This paper reports on a modification of the Euler relation for application to 3-dimensional polyhedra. Such polyhedra are infinite in extent and are represented by the Schlaefli symbols (3, n) where n is greater than 6, and other Schlaefli symbols, some of which are identical to those of the ordinary 3-dimensional nets
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A.F. Wells, in: The Geometrical Basis of Crystal Chemistry: Part 7, eds. A.F. Wells and R.R. Sharpe, Acta Cryst. 16 (1963) 857. This paper reports on a modification of the Euler relation for application to 3-dimensional polyhedra. Such polyhedra are infinite in extent and are represented by the Schlaefli symbols (3, n) where n is greater than 6, and other Schlaefli symbols, some of which are identical to those of the ordinary 3-dimensional nets.
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(1963)
Acta Cryst.
, vol.16
, pp. 857
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Wells, A.F.1
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74
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0012915359
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Cambridge University Press, Cambridge, UK, And the references therein
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M. Wenninger, Dual Models, 1st ed. (Cambridge University Press, Cambridge, UK, 1983). And the references therein.
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Dual Models, 1st Ed.
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Wenninger, M.1
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75
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0003924210
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ACA Monograph #8, 1st Ed. (ACA Press). And the references therein. Much previously unpublished material, concerned mainly with the vast topological subspace of 3-,4-connected networks, was reported in this publication. Scores of previously unknown structures, perhaps numbering more than 100, were reported. The explicit identification of structures with both fractional polygonality and fractional connectivity was made, anticipating much later work in various fields. These Wellsean structures are innumerable and their polyhedral analogs have recently been identified
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A.F. Wells, Further Studies of Three-dimensional Nets, ACA Monograph #8, 1st ed. (ACA Press, 1979). And the references therein. Much previously unpublished material, concerned mainly with the vast topological subspace of 3-,4-connected networks, was reported in this publication. Scores of previously unknown structures, perhaps numbering more than 100, were reported. The explicit identification of structures with both fractional polygonality and fractional connectivity was made, anticipating much later work in various fields. These Wellsean structures are innumerable and their polyhedral analogs have recently been identified.
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(1979)
Further Studies of Three-dimensional Nets
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Wells, A.F.1
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