Loeb A.: Space structures: their harmony and counterpoint. Addison-Wesley (1976) Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Fullerenes and Coordination Polyhedra versus Half-Cubes.. - Deza, Deza, GRISHUKHIN (1997) (1 citation) (Correct)
....except p 6 (Cham 1 (P ) p 6 (P ) f 1 (P ) For a fullerene, the chamfering corresponds to a (2,0) leapfrog transform and we have Cham 1 (F n (S g ) C 4n (S g ) where S g is the symmetry group of F n . We also recall in Fig. 3.24 the well known edge truncation given in Chap. 10 of Loeb [49]. file=loeb.ps,width=7.0cm Figure 3.24: Usual edge truncation Proposition 3.5 With the definition of alternating circuits given in the proof of Proposition 3.3, two necessary conditions for the 1 embeddability of the t chamfered fullerene (2 t ; 0) F n are: i) F n is 1 embeddable ....
Loeb A.: Space structures: their harmony and counterpoint. Addison-Wesley (1976)
Geometric and Statistical Analysis of Porous Media - Venkatarangan (2000) (1 citation) (Correct)
....with neighbours, G 6(26) S) denotes the 6(26) genus of S and G(S) stands for G 26 (S) unless otherwise mentioned. We also note that Morgenthaler [53] has proven that G 26 (S) G 6 ( S) 1: 3. 6) If we consider the 3 dimensional image as a collection of points then the EulerSchlae i relation [49] for space structures gives us G 6 (S) v e f oct (3.7) where v is the number of vertices (points) in S, e is the number of edges in S, f the number of faces in S and oct the number of octants in S. See Figure 3.3) It is well known that, while being a global property, the genus can be ....
A. L. Loeb. Space Structures: Their Harmony and Counter Point. Adison-Wesley, Reading, MA, 1976.
Closing the Gap: Near-Optimal Steiner Trees in.. - Barrera, Griffith.. (Correct)
.... three dimensions, where we partition space into 14 regions corresponding to the faces of a truncated cube (Figure 9(a) i.e. a solid obtained by chopping off the corners of a cube, yielding 6 square faces and 8 equilateral triangle faces (Figure 9(b) this solid is known as a cuboctahedron [23]. The 14 regions of this partition correspond to the faces of the cuboctahedron, namely 6 pyramids with square cross section (Figure 9(c) and 8 pyramids with triangular cross section (Figure 9(d) Again, region boundaries may be arbitrarily assigned to either adjacent region. We call this ....
A. L. Loeb, Space Structures: Their Harmony and Counterpoint, Birkhauser, New York, 1991.
Closing the Gap: Near-Optimal Steiner Trees in Polynomial .. - Griffith, Robins.. (1994) (9 citations) (Correct)
....uniqueness property holding for each region. Such a partition corresponds to the faces of a truncated cube (Figure 11(a) i.e. a solid obtained by chopping off the corners of a cube, yielding 6 square faces and 8 equilateral triangle faces (Figure 11(b) this solid is known as a cuboctahedron [34]. The 14 solid regions of this partition are induced by the 14 faces of the cuboctahedron, namely the 6 pyramids with square cross section (Figure 11(c) and the 8 pyramids with triangular cross section (Figure 11(d) Again, points located on region boundaries may be arbitrarily assigned to any ....
A. L. Loeb, Space Structures: Their Harmony and Counterpoint, Birkhauser, New York, 1991.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC