-
1
-
-
27144518540
-
Convex polyhedra
-
[A1], Springer, Berlin, MR 2127379
-
[A1] A. D. ALEKSANDROV, Convex Polyhedra, Springer Monogr. Math., Springer, Berlin, 2005. MR 2127379
-
(2005)
Springer Monogr. Math.
-
-
Aleksandrov, A.D.1
-
2
-
-
27144543274
-
Selected works, part II: Intrinsic geometry of convex surfaces
-
[A2], CRC, Boca Raton, Fla.
-
[A2] _, Selected Works, Part II: Intrinsic Geometry of Convex Surfaces, Classics Soviet Math., CRC, Boca Raton, Fla., 2005.
-
(2005)
Classics Soviet Math.
-
-
-
3
-
-
33645443112
-
The rigidity of graphs
-
[AR1]. MR 0511410
-
[AR1] L. ASIMOW and B. ROTH, The rigidity of graphs, Trans. Amer. Math. Soc. 245 (1978), 279-289. MR 0511410
-
(1978)
Trans. Amer. Math. Soc.
, vol.245
, pp. 279-289
-
-
Asimow, L.1
Roth, B.2
-
4
-
-
0018444223
-
The rigidity of graphs, II
-
[AR2]. MR 0531431
-
[AR2] _, The rigidity of graphs, II, J. Math. Anal. Appl. 68 (1979), 171 -190. MR 0531431
-
(1979)
J. Math. Anal. Appl.
, vol.68
, pp. 171-190
-
-
-
5
-
-
0033453699
-
A canonical polynomial for the volume of a polyhedron
-
[AS]. MR 1711247
-
[AS] A. V. ASTRELIN and I. KH. SABITOV, A canonical polynomial for the volume of a polyhedron, Russian Math. Surveys 54 (1999), 430-431. MR 1711247
-
(1999)
Russian Math. Surveys
, vol.54
, pp. 430-431
-
-
Astrelin, A.V.1
Sabitov, I.Kh.2
-
6
-
-
27144558703
-
Géométrie
-
[Be] CEDIC, Paris, MR 0536872
-
[Be] M. BERGER, Géométrie, Vol. 3: Convexes et polytopes, polyèdres réguliers, aires et volumes, CEDIC, Paris, 1977. MR 0536872
-
(1977)
Convexes et Polytopes, Polyèdres Réguliers, Aires et Volumes
, vol.3
-
-
Berger, M.1
-
7
-
-
0003257405
-
Modern graph theory
-
[Bo], Springer, New York, MR 1633290
-
[Bo] B. BOLLOBÁS, Modern Graph Theory, Grad. Texts in Math. 184, Springer, New York, 1998. MR 1633290
-
(1998)
Grad. Texts in Math.
, vol.184
-
-
Bollobás, B.1
-
8
-
-
33646864986
-
A. D. Aleksandrov spaces with curvature bounded below
-
[BGP]. MR 1185284
-
[BGP] YU. BURAGO, M. GROMOV, and G. PERELMAN, A. D. Aleksandrov spaces with curvature bounded below, Russian Math. Surveys 47 (1992), no. 2, 1-58. MR 1185284
-
(1992)
Russian Math. Surveys
, vol.47
, Issue.2
, pp. 1-58
-
-
Burago, Yu.1
Gromov, M.2
Perelman, G.3
-
9
-
-
0039324528
-
-
[BCS], Algebraic Complexity Theory, Springer, Berlin, MR 1440179
-
[BCS] P. BÜRGISSER, M. CLAUSEN, and M. SHOKROLLAHI, Algebraic Complexity Theory, Grundlehren Math. Wiss. 315, Springer, Berlin, 1997. MR 1440179
-
(1997)
Grundlehren Math. Wiss.
, vol.315
-
-
Bürgisser, P.1
Clausen, M.2
Shokrollahi, M.3
-
10
-
-
33744661307
-
Conjectures and open questions in rigidity
-
[C1] Proceedings of the International Congress of Mathematicians (Helsinki, 1978), Helsinki, MR 0562634
-
[C1] R. CONNELLY, "Conjectures and open questions in rigidity" in Proceedings of the International Congress of Mathematicians (Helsinki, 1978), Acad. Sci. Fennica, Helsinki, 1980, 407-414. MR 0562634
-
(1980)
Acad. Sci. Fennica
, pp. 407-414
-
-
Connelly, R.1
-
11
-
-
0011616507
-
The rigidity of certain cabled frameworks and the second-order rigidity of arbitrarily triangulated convex surfaces
-
[C2]. MR 0591730
-
[C2] _, The rigidity of certain cabled frameworks and the second-order rigidity of arbitrarily triangulated convex surfaces, Adv. in Math. 37 (1980), 272-299. MR 0591730
-
(1980)
Adv. in Math.
, vol.37
, pp. 272-299
-
-
-
12
-
-
27144548555
-
Flexing surfaces
-
[C3], PWS, Boston
-
[C3] _, "Flexing surfaces" in The Mathematical Gardner, PWS, Boston, 1981, 79-89.
-
(1981)
The Mathematical Gardner
, pp. 79-89
-
-
-
13
-
-
0002909309
-
Rigidity
-
[C4], North-Holland, Amsterdam, MR 1242981
-
[C4] _, "Rigidity" in Handbook of Convex Geometry, Vols. A, B, North-Holland, Amsterdam, 1993, 223-271. MR 1242981
-
(1993)
Handbook of Convex Geometry, Vols. A, B
, vol.A-B
, pp. 223-271
-
-
-
15
-
-
0039349331
-
The bellows conjecture
-
[CSW]. MR 1447981
-
[CSW] R. CONNELLY, I. SABITOV, and A. WALZ, The bellows conjecture, Beiträge Algebra Geom. 38 (1997), 1-10. MR 1447981
-
(1997)
Beiträge Algebra Geom.
, vol.38
, pp. 1-10
-
-
Connelly, R.1
Sabitov, I.2
Walz, A.3
-
16
-
-
0002237781
-
Statics of frameworks and motions of panel structures, a protective geometric introduction
-
[CW]. MR 0666680
-
[CW] H. CRAPO and W. WHITELEY, Statics of frameworks and motions of panel structures, a protective geometric introduction. Structural Topology 1982, 43-82. MR 0666680
-
Structural Topology
, vol.1982
, pp. 43-82
-
-
Crapo, H.1
Whiteley, W.2
-
19
-
-
0001114105
-
Almost all simply connected, closed surfaces are rigid
-
[G] Geometric Topology (Park City, Utah, 1974), Springer, Berlin, MR 0400239
-
[G] H. GLUCK, "Almost all simply connected, closed surfaces are rigid" in Geometric Topology (Park City, Utah, 1974), Lecture Notes in Math., Springer, Berlin, 1975, 225-239. MR 0400239
-
(1975)
Lecture Notes in Math.
, pp. 225-239
-
-
Gluck, H.1
-
20
-
-
0003338073
-
Combinatorial rigidity
-
[GSS], Amer. Math. Soc., Providence, MR 1251062
-
[GSS] J. GRAVER, B. SERVATIUS, and H. SERVATIUS, Combinatorial Rigidity, Grad. Studies in Math. 2, Amer. Math. Soc., Providence, 1993. MR 1251062
-
(1993)
Grad. Studies in Math.
, vol.2
-
-
Graver, J.1
Servatius, B.2
Servatius, H.3
-
21
-
-
0011428975
-
On the complexity of some basic problems in computational convexity, II: Volume and mixed volumes
-
[GK] Polytopes: Abstract, Convex and Computational (Scarborough, Ontario, 1993), Kluwer, Dordrecht, MR 1322071
-
[GK] P. GRITZMANN and V. KLEE, "On the complexity of some basic problems in computational convexity, II: Volume and mixed volumes" in Polytopes: Abstract, Convex and Computational (Scarborough, Ontario, 1993), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 440, Kluwer, Dordrecht, 1994, 373-466. MR 1322071
-
(1994)
NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.
, vol.440
, pp. 373-466
-
-
Gritzmann, P.1
Klee, V.2
-
22
-
-
27144480387
-
-
[Had], Jacques Gabay, Sceaux, France, MR 1189556
-
[Had] J. HADAMARD, Leçons de géométrie, II: Géométrie dans l'espace, Jacques Gabay, Sceaux, France, 1988. MR 1189556
-
(1988)
Leçons de Géométrie, II: Géométrie dans L'espace
-
-
Hadamard, J.1
-
23
-
-
0003322387
-
Algebraic geometry
-
[Har], Springer, New York, MR 0463157
-
[Har] R. HARTSHORNE, Algebraic Geometry, Grad. Texts in Math. 52, Springer, New York, 1977. MR 0463157
-
(1977)
Grad. Texts in Math.
, vol.52
-
-
Hartshorne, R.1
-
25
-
-
0036836921
-
Universality theorems for configuration spaces of planar linkages
-
[KM]. MR 1923214
-
[KM] M. KAPOVICH and J. J. MILLSON, Universality theorems for configuration spaces of planar linkages, Topology 41 (2002), 1051-1107. MR 1923214
-
(2002)
Topology
, vol.41
, pp. 1051-1107
-
-
Kapovich, M.1
Millson, J.J.2
-
26
-
-
0041880094
-
How to draw a straight line
-
[Ke]
-
[Ke] A. B. KEMPE, How to draw a straight line. Nature 16 ( 1877), 65-67, 86-89.
-
(1877)
Nature
, vol.16
, pp. 65-67
-
-
Kempe, A.B.1
-
27
-
-
0010623786
-
Planar linkages and algebraic sets
-
[Ki] Proceedings of the 6th Gökova Geometry-Topology Conference, Sci. Tech. Research Council Turkey, Ankara, MR 1701638
-
[Ki] H. C. KING, "Planar linkages and algebraic sets" in Proceedings of the 6th Gökova Geometry-Topology Conference, Turkish J. Math. 23, Sci. Tech. Research Council Turkey, Ankara, 1999, 33-56. MR 1701638
-
(1999)
Turkish J. Math.
, vol.23
, pp. 33-56
-
-
King, H.C.1
-
29
-
-
27144520592
-
Geometric theory of linkages
-
[Ko]. MR 1271514
-
[Ko] M. KOVALEV, Geometric theory of linkages, Russian Acad. Sci. Izv. Math. 44 (1995), 43-68. MR 1271514
-
(1995)
Russian Acad. Sci. Izv. Math.
, vol.44
, pp. 43-68
-
-
Kovalev, M.1
-
30
-
-
15844394109
-
Dying mathematician spends last days on area of polygon
-
[L] July 29
-
[L] P. LANDERS, Dying Mathematician Spends Last Days on Area of Polygon, Wall Street Journal, July 29, 2003, 1.
-
(2003)
Wall Street Journal
, pp. 1
-
-
Landers, P.1
-
31
-
-
0141621866
-
A simpler construction of volume polynomials for a polyhedron
-
[LNS]. MR 1913784
-
[LNS] S. LAWRENCENKO, S. NEGAMI, and I. KH. SABITOV, A simpler construction of volume polynomials for a polyhedron, Beiträge Algebra Geom. 43 (2002), 261 -273. MR 1913784
-
(2002)
Beiträge Algebra Geom.
, vol.43
, pp. 261-273
-
-
Lawrencenko, S.1
Negami, S.2
Sabitov, I.Kh.3
-
32
-
-
15844407490
-
On the areas of cyclic and semicyclic polygons
-
[MRR]. MR 2128992
-
[MRR] F. M. MALEY, D. P. ROBBINS, and J. ROSKIES, On the areas of cyclic and semicyclic polygons. Adv. in Appl. Math. 34 (2005), 669-689. MR 2128992
-
(2005)
Adv. in Appl. Math.
, vol.34
, pp. 669-689
-
-
Maley, F.M.1
Robbins, D.P.2
Roskies, J.3
-
33
-
-
0242350512
-
Geometry of graph varieties
-
[M1]. MR 1990580
-
[M1] J. MARTIN, Geometry of graph varieties, Trans. Amer. Math. Soc. 355 (2003), 4151-4169. MR 1990580
-
(2003)
Trans. Amer. Math. Soc.
, vol.355
, pp. 4151-4169
-
-
Martin, J.1
-
34
-
-
6944232184
-
On the topology of multigraph picture spaces
-
[M2]. MR 2103216
-
[M2] _, On the topology of multigraph picture spaces, Adv. Math. 191 (2005), 312-338. MR 2103216
-
(2005)
Adv. Math.
, vol.191
, pp. 312-338
-
-
-
35
-
-
0034417181
-
Icosahedra constructed from congruent triangles
-
[Mi] The Branko Grünbaum Birthday Issue, Springer, New York MR 1758062
-
[Mi] E. MILLER, "Icosahedra constructed from congruent triangles" in The Branko Grünbaum Birthday Issue, Discrete Comput. Geom. 24, Springer, New York 2000, 437-451. MR 1758062
-
(2000)
Discrete Comput. Geom.
, vol.24
, pp. 437-451
-
-
Miller, E.1
-
36
-
-
0001242875
-
The universality theorems on the classification problem of configuration varieties and convex polytopes varieties
-
[Mn] Topology and Geometry: Rohlin Seminar, Springer, Berlin, MR 0970093
-
[Mn] N. MNËV, "The universality theorems on the classification problem of configuration varieties and convex polytopes varieties" in Topology and Geometry: Rohlin Seminar, Lecture Notes in Math. 1346, Springer, Berlin, 1988, 527-543. MR 0970093
-
(1988)
Lecture Notes in Math.
, vol.1346
, pp. 527-543
-
-
Mnëv, N.1
-
37
-
-
15844425811
-
The area of cyclic polygons: Recent progress on Rabbins' conjectures
-
[P]. MR 2128993
-
[P] I. PAK, The area of cyclic polygons: Recent progress on Rabbins' conjectures, Adv. in Appl. Math. 34 (2005), 690-696. MR 2128993
-
(2005)
Adv. in Appl. Math.
, vol.34
, pp. 690-696
-
-
Pak, I.1
-
38
-
-
51249164476
-
Areas of polygons inscribed in a circle
-
[R1]. MR 1283889
-
[R1] D. P. ROBBINS, Areas of polygons inscribed in a circle. Discrete Comput. Geom. 12 (1994), 223-236. MR 1283889
-
(1994)
Discrete Comput. Geom.
, vol.12
, pp. 223-236
-
-
Robbins, D.P.1
-
39
-
-
21844510713
-
Areas of polygons inscribed in a circle
-
[R2]. MR 1336638
-
[R2] _, Areas of polygons inscribed in a circle, Amer. Math. Monthly 102 (1995), 523-530. MR 1336638
-
(1995)
Amer. Math. Monthly
, vol.102
, pp. 523-530
-
-
-
40
-
-
0034366456
-
Rigidity of certain polyhedra in R'
-
[RR]. MR 1793799
-
[RR] L. RODRÍGUEZ and H. ROSENBERG, Rigidity of certain polyhedra in R', Comment. Math. Helv. 75 (2000), 478-503. MR 1793799
-
(2000)
Comment. Math. Helv.
, vol.75
, pp. 478-503
-
-
Rodríguez, L.1
Rosenberg, H.2
-
41
-
-
0003167703
-
Rigid and flexible frameworks
-
[Ro]. MR 0619413
-
[Ro] B. ROTH, Rigid and flexible frameworks. Amer. Math. Monthly 88 (1981), 6-21. MR 0619413
-
(1981)
Amer. Math. Monthly
, vol.88
, pp. 6-21
-
-
Roth, B.1
-
42
-
-
84968494852
-
Tensegrity frameworks
-
[RW]. MR 0610958
-
[RW] B. ROTH and W. WHITELEY, Tensegrity frameworks, Trans. Amer. Math. Soc. 265 (1981), 419-446. MR 0610958
-
(1981)
Trans. Amer. Math. Soc.
, vol.265
, pp. 419-446
-
-
Roth, B.1
Whiteley, W.2
-
43
-
-
0039066483
-
The generalized Heron-Tartaglia formula and some of its consequences
-
[S1] MR 1691297
-
[S1] I. KH. SABITOV, The generalized Heron-Tartaglia formula and some of its consequences, Sb. Math. 189 (1998), 1533-1561 MR 1691297
-
(1998)
Sb. Math.
, vol.189
, pp. 1533-1561
-
-
Sabitov, I.K.H.1
-
44
-
-
0032264877
-
The volume as a metric invariant of polyhedra
-
[S2]. MR 1651896
-
[S2] _, The volume as a metric invariant of polyhedra. Discrete Comput. Geom. 20 (1998), 405-425. MR 1651896
-
(1998)
Discrete Comput. Geom.
, vol.20
, pp. 405-425
-
-
-
45
-
-
0035762928
-
Calculation of polyhedra
-
[S3]. MR 1833711
-
[S3] _, Calculation of polyhedra (in Russian), Dokl. Acad. Nauk 377 (2001), 161-164. MR 1833711
-
(2001)
Dokl. Acad. Nauk
, vol.377
, pp. 161-164
-
-
-
46
-
-
4644343250
-
Algorithmic solution of the problem of isometric realization of two-dimensional polyhedral metrics
-
[S4]. MR 1918847
-
[S4] _, Algorithmic solution of the problem of isometric realization of two-dimensional polyhedral metrics, Izv. Math. 66 (2002), 377-391. MR 1918847
-
(2002)
Izv. Math.
, vol.66
, pp. 377-391
-
-
-
47
-
-
84860377277
-
-
[S5], MCCME, Moscow
-
[S5] _, Volumes of Polyhedra, MCCME, Moscow, 2002.
-
(2002)
Volumes of Polyhedra
-
-
-
48
-
-
27144520351
-
La conjecture des sourfflets (d'après I. Sabitov)
-
[Sc]. MR 2111640
-
[Sc] J.-M. SCHLENKER, La conjecture des sourfflets (d'après I. Sabitov), Astérisque 294 (2004), 77-95. MR 2111640
-
(2004)
Astérisque
, vol.294
, pp. 77-95
-
-
Schlenker, J.-M.1
-
49
-
-
0037828513
-
Inscribed polygons and Heron polynomials
-
[V1]. MR 1992154
-
[V1] V. V. VARFOLOMEEV, Inscribed polygons and Heron polynomials, Sb. Math. 194 (2003), 311-331. MR 1992154
-
(2003)
Sb. Math.
, vol.194
, pp. 311-331
-
-
Varfolomeev, V.V.1
-
50
-
-
15844418282
-
Galois groups of Heron-Sabitov polynomials for pentagons inscribed in a circle
-
[V2]. MR 2068949
-
[V2] _, Galois groups of Heron-Sabitov polynomials for pentagons inscribed in a circle, Sb. Math. 195 (2004), 3-16. MR 2068949
-
(2004)
Sb. Math.
, vol.195
, pp. 3-16
-
-
-
51
-
-
0038024955
-
Matroids and rigid structures
-
[W] Matroid Applications, Cambridge Univ. Press, Cambridge, MR 1165538
-
[W] W. WHITELEY, "Matroids and rigid structures" in Matroid Applications in Encyclopedia Math. Appl. 40, Cambridge Univ. Press, Cambridge, 1992, 1 -53. MR 1165538
-
(1992)
Encyclopedia Math. Appl.
, vol.40
, pp. 1-53
-
-
Whiteley, W.1
-
52
-
-
0003222229
-
Lectures on polytopes
-
[Z], Springer, New York, MR 1311028
-
[Z] G. M. ZIEGLER, Lectures on Polytopes, Grad. Texts in Math. 152, Springer, New York, 1995. MR 1311028
-
(1995)
Grad. Texts in Math.
, vol.152
-
-
Ziegler, G.M.1
|