-
1
-
-
0010603948
-
The problem of illumination of the boundary of a convex body by affine subspaces
-
MR 92m:52020
-
K. BEZDEK, The problem of illumination of the boundary of a convex body by affine subspaces, Mathematika 38 (1991), 362-375. MR 92m:52020
-
(1991)
Mathematika
, vol.38
, pp. 362-375
-
-
Bezdek, K.1
-
2
-
-
0005329840
-
On the illumination of smooth convex bodies
-
(Basel) MR 93h:52005
-
K. BEZDEK, On the illumination of smooth convex bodies, Arch. Math. (Basel) 58 (1992), 611-614. MR 93h:52005
-
(1992)
Arch. Math.
, vol.58
, pp. 611-614
-
-
Bezdek, K.1
-
3
-
-
0039442958
-
Hadwiger's covering conjecture and its relatives
-
MR 93i:52009
-
K. BEZDEK, Hadwiger's covering conjecture and its relatives, Amer. Math. Monthly 99 (1992), 954-956. MR 93i:52009
-
(1992)
Amer. Math. Monthly
, vol.99
, pp. 954-956
-
-
Bezdek, K.1
-
4
-
-
51649144038
-
On the illumination of unbounded closed convex sets
-
MR 95a:52004
-
K. BEZDEK, On the illumination of unbounded closed convex sets, Israel J. Math. 80 (1992), 87-96. MR 95a:52004
-
(1992)
Israel J. Math.
, vol.80
, pp. 87-96
-
-
Bezdek, K.1
-
5
-
-
33846130490
-
Research problem 46
-
K. BEZDEK, Research problem 46, Periodica Math. Hungar. 24 (1992), 119-121.
-
(1992)
Periodica Math. Hungar.
, vol.24
, pp. 119-121
-
-
Bezdek, K.1
-
7
-
-
4344635278
-
-
Springer-Verlag, Berlin, MR 94g:52023
-
Algorithms and Combinatorics, Vol. 10. Springer-Verlag, Berlin, 1993. MR 94g:52023
-
(1993)
Algorithms and Combinatorics
, vol.10
-
-
-
8
-
-
33847314163
-
A note on the illumination of convex bodies
-
MR 93m:52009
-
K. BEZDEK, A note on the illumination of convex bodies, Geom. Dedicata 45 (1993), 89-91. MR 93m:52009
-
(1993)
Geom. Dedicata
, vol.45
, pp. 89-91
-
-
Bezdek, K.1
-
9
-
-
0042147544
-
On affine subspaces that illuminate a convex set
-
MR 95e:52006
-
K. BEZDEK, On affine subspaces that illuminate a convex set, Beiträge Algebra Geom. 35 (1994), 131-139. MR 95e:52006
-
(1994)
Beiträge Algebra Geom.
, vol.35
, pp. 131-139
-
-
Bezdek, K.1
-
10
-
-
53149143358
-
Light-sources that illuminate the boundary points all but the vertices of a convex polyhedron
-
K. BEZDEK, Light-sources that illuminate the boundary points all but the vertices of a convex polyhedron, Periodica Math. Hungar. 34 (1997), 17-21.
-
(1997)
Periodica Math. Hungar.
, vol.34
, pp. 17-21
-
-
Bezdek, K.1
-
11
-
-
0010605811
-
Hadwiger's covering conjecture and low dimensional dual cyclic polytopes
-
MR 94e:52010
-
K. BEZDEK AND T. BISZTRICZKY, Hadwiger's covering conjecture and low dimensional dual cyclic polytopes, Geom. Dedicata 46 (1993), 279-286. MR 94e:52010
-
(1993)
Geom. Dedicata
, vol.46
, pp. 279-286
-
-
Bezdek, K.1
Bisztriczky, T.2
-
12
-
-
0010568089
-
A proof of Hadwiger's covering conjecture for dual cyclic polytopes
-
K. BEZDEK AND T. BISZTRICZKY, A proof of Hadwiger's covering conjecture for dual cyclic polytopes, Geom. Dedicata 68 (1997), 29-41.
-
(1997)
Geom. Dedicata
, vol.68
, pp. 29-41
-
-
Bezdek, K.1
Bisztriczky, T.2
-
13
-
-
51649143595
-
An illumination problem for zonoids
-
MR 94j:52007
-
K. BEZDEK, GY. KISS AND M. MOLLARD, An illumination problem for zonoids, Israel J. Math. 81 (1993), 265-272. MR 94j:52007
-
(1993)
Israel J. Math.
, vol.81
, pp. 265-272
-
-
Bezdek, K.1
Kiss, G.Y.2
Mollard, M.3
-
14
-
-
70249125667
-
A characterization of 3-dimensional convex sets with an infinite X-ray number
-
Böröczky, K., Fejes Tóth, G. (Eds.), Szeged, Hungary
-
K. BEZDEK AND T. ZAMFIRESCU, A characterization of 3-dimensional convex sets with an infinite X-ray number, In: Böröczky, K., Fejes Tóth, G. (Eds.), Intuitive Geometry (Szeged, Hungary, 1991), pp. 33-38.
-
(1991)
Intuitive Geometry
, pp. 33-38
-
-
Bezdek, K.1
Zamfirescu, T.2
-
15
-
-
53149125322
-
-
North-Holland, Amsterdam, MR 96m:52006
-
Colloq. Math. Soc. János Bolyai, Vol. 63. North-Holland, Amsterdam, 1994. MR 96m:52006
-
(1994)
Colloq. Math. Soc. János Bolyai
, vol.63
-
-
-
16
-
-
53149129242
-
On the problem of covering convex bodies by homothetic bodies
-
(in Russian). MR 40#7950
-
N. A. BOBYLEV, On the problem of covering convex bodies by homothetic bodies, Mat. Issled. 3 (1968), no. 3, 19-26 (in Russian). MR 40#7950
-
(1968)
Mat. Issled.
, vol.3
, Issue.3
, pp. 19-26
-
-
Bobylev, N.A.1
-
17
-
-
53149142960
-
On the multiplicity of the illumination of convex bodies by point sources
-
in Russian
-
O. V. BOGOPOL'SKII AND V. A. VASIL'EV, On the multiplicity of the illumination of convex bodies by point sources, Mat. Zametki 54 (1993), 12-18 (in Russian).
-
(1993)
Mat. Zametki
, vol.54
, pp. 12-18
-
-
Bogopol'skii, O.V.1
Vasil'ev, V.A.2
-
18
-
-
0007228726
-
-
English translation: MR 95a:52005
-
(English translation: Math. Notes 54 (1993), 987-991) MR 95a:52005
-
(1993)
Math. Notes
, vol.54
, pp. 987-991
-
-
-
19
-
-
53149110253
-
Outer illumination of a two-sided cone
-
(in Russian). MR 94k:52005
-
E. BOHNE AND P. SOLTAN, Outer illumination of a two-sided cone, Studia Sci. Math. Hungar. 27 (1992), 261-266 (in Russian). MR 94k:52005
-
(1992)
Studia Sci. Math. Hungar.
, vol.27
, pp. 261-266
-
-
Bohne, E.1
Soltan, P.2
-
20
-
-
0000360790
-
A class of convex bodies
-
MR 41#921
-
E. D. BOLKER, A class of convex bodies, Trans. Amer. Math. Soc. 145 (1969), 323-345. MR 41#921
-
(1969)
Trans. Amer. Math. Soc.
, vol.145
, pp. 323-345
-
-
Bolker, E.D.1
-
21
-
-
52549086353
-
Centrally symmetric polytopes
-
Pyke, R. (Ed.), Vancouver, B. C.
-
E. D. BOLKER, Centrally symmetric polytopes, In: Pyke, R. (Ed.), Proc. Twelfth Biannual Internat. Sem. Canad. Math. Congr. Time Series and Stochastic Processes; Convexity and Combinatorics (Vancouver, B. C., 1969), pp. 255-263.
-
(1969)
Proc. Twelfth Biannual Internat. Sem. Canad. Math. Congr. Time Series and Stochastic Processes; Convexity and Combinatorics
, pp. 255-263
-
-
Bolker, E.D.1
-
22
-
-
53149132203
-
-
Montreal, Que., MR 44#4636
-
Canad. Math. Congr., Montreal, Que., 1970. MR 44#4636
-
(1970)
Canad. Math. Congr.
-
-
-
23
-
-
0007228724
-
A problem on illumination of the boundary of a convex body
-
in Russian
-
V. BOLTYANSKI, A problem on illumination of the boundary of a convex body, Izv. Mold. Fil. Akad Nauk SSSR (1960), no. 10, 77-84 (in Russian).
-
(1960)
Izv. Mold. Fil. Akad Nauk SSSR
, Issue.10
, pp. 77-84
-
-
Boltyanski, V.1
-
24
-
-
53149126701
-
Combinatorial geometry
-
(in Russian). Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. Tekhn. Informatsii, Moscow, MR 84a:52001
-
V. BOLTYANSKI, Combinatorial geometry, Algebra Topol. Geom. Vol. 19, pp. 209-274 (in Russian). Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. Tekhn. Informatsii, Moscow, 1981. MR 84a:52001
-
(1981)
Algebra Topol. Geom.
, vol.19
, pp. 209-274
-
-
Boltyanski, V.1
-
25
-
-
0010862327
-
Solution of the illumination problem for belt-bodies
-
in Russian
-
V. BOLTYANSKI, Solution of the illumination problem for belt-bodies, Mat. Zametki 58 (1995), 505-511 (in Russian).
-
(1995)
Mat. Zametki
, vol.58
, pp. 505-511
-
-
Boltyanski, V.1
-
26
-
-
53149104953
-
-
English translation: MR 97c:52003
-
(English translation: Math. Notes 58 (1995), 1029-1032.) MR 97c:52003
-
(1995)
Math. Notes
, vol.58
, pp. 1029-1032
-
-
-
27
-
-
0004296760
-
-
Nauka, Moscow, (in Russian). German translation: VEB Deutscher Verlag der Wissenschaften, Berlin, 1972. English translation: Cambridge Univ. Press, Cambridge, MR 34#6631, MR 50#3108, MR 87c:52002
-
V. BOLTYANSKI AND I. GOHBERG, Theorems and Problems in Combinatorial Geometry, Nauka, Moscow, 1965 (in Russian). (German translation: VEB Deutscher Verlag der Wissenschaften, Berlin, 1972. English translation: Cambridge Univ. Press, Cambridge, 1985.) MR 34#6631, MR 50#3108, MR 87c:52002
-
(1965)
Theorems and Problems in Combinatorial Geometry
-
-
Boltyanski, V.1
Gohberg, I.2
-
28
-
-
52549132915
-
-
Nauka, Moscow, (in Russian). English translation: Univ. Chicago Press, Chicago, MR 43#6817, MR 81a:52001
-
V. BOLTYANSKI AND I. GOHBERG, The Decomposition of Figures into Smaller Parts, Nauka, Moscow, 1971 (in Russian). (English translation: Univ. Chicago Press, Chicago, 1980.) MR 43#6817, MR 81a:52001
-
(1971)
The Decomposition of Figures into Smaller Parts
-
-
Boltyanski, V.1
Gohberg, I.2
-
29
-
-
52549117456
-
Stories about covering and illumination of convex bodies
-
MR 97g:52044
-
V. BOLTYANSKI AND I. GOHBERG, Stories about covering and illumination of convex bodies, Nieuw Arch. Wisk. 13 (1995), 1-26. MR 97g:52044
-
(1995)
Nieuw Arch. Wisk.
, vol.13
, pp. 1-26
-
-
Boltyanski, V.1
Gohberg, I.2
-
30
-
-
52549117747
-
Combinatorial geometry of belt bodies
-
MR 97e:52004
-
V. BOLTYANSKI AND H. MARTINI, Combinatorial geometry of belt bodies, Results Math. 28 (1995), 224-249. MR 97e:52004
-
(1995)
Results Math.
, vol.28
, pp. 224-249
-
-
Boltyanski, V.1
Martini, H.2
-
31
-
-
0003505001
-
-
Springer-Verlag, Berlin, MR 98b:52001
-
V. BOLTYANSKI, H. MARTINI AND P. SOLTAN, Excursions into Combinatorial Geometry, Springer-Verlag, Berlin, 1997. MR 98b:52001
-
(1997)
Excursions into Combinatorial Geometry
-
-
Boltyanski, V.1
Martini, H.2
Soltan, P.3
-
34
-
-
53149131543
-
Illumination from within of the boundary of a convex body
-
(in Russian). MR 45#1039
-
V. BOLTYANSKI AND P. SOLTAN, Illumination from within of the boundary of a convex body, Mat. Sb. 87 (1972), 83-90 (in Russian). MR 45#1039
-
(1972)
Mat. Sb.
, vol.87
, pp. 83-90
-
-
Boltyanski, V.1
Soltan, P.2
-
36
-
-
53149102662
-
A solution of Hadwiger's problem for a class of convex bodies
-
in Russian
-
V. BOLTYANSKI AND P. SOLTAN, A solution of Hadwiger's problem for a class of convex bodies, Dokl. Akad. Nauk SSSR 313 (1990), 528-532 (in Russian).
-
(1990)
Dokl. Akad. Nauk SSSR
, vol.313
, pp. 528-532
-
-
Boltyanski, V.1
Soltan, P.2
-
37
-
-
53149137241
-
-
English translation: MR 92f:52013
-
(English translation: Soviet Math. Dokl. 42 (1991), 18-22.) MR 92f:52013
-
(1991)
Soviet Math. Dokl.
, vol.42
, pp. 18-22
-
-
-
38
-
-
0040247483
-
A solution of Hadwiger's covering problem for zonoids
-
MR 93j:52031
-
V. BOLTYANSKI AND P. SOLTAN, A solution of Hadwiger's covering problem for zonoids, Combinatorica 12 (1992), 381-388. MR 93j:52031
-
(1992)
Combinatorica
, vol.12
, pp. 381-388
-
-
Boltyanski, V.1
Soltan, P.2
-
39
-
-
4244178007
-
Über Dunkelwolken
-
Copenhagen, Denmark, Københavns Univ. Mat. Inst., Copenhagen, MR 35#6035
-
K. BÖRÖCZKY, Über Dunkelwolken, Proc. Colloq. Convexity (Copenhagen, Denmark, 1965), pp. 13-17. Københavns Univ. Mat. Inst., Copenhagen, 1967. MR 35#6035
-
(1965)
Proc. Colloq. Convexity
, pp. 13-17
-
-
Böröczky, K.1
-
40
-
-
0001841408
-
Translational and homothetic clouds for a convex body
-
MR 97h:52008
-
K. BÖRÖCZKY AND V. SOLTAN, Translational and homothetic clouds for a convex body, Studia Sci. Math. Hungar. 32 (1996), 93-102. MR 97h:52008
-
(1996)
Studia Sci. Math. Hungar.
, vol.32
, pp. 93-102
-
-
Böröczky, K.1
Soltan, V.2
-
41
-
-
34250088058
-
j-Partitions for visible shorelines
-
MR 89j: 52007
-
M. BREEN, j-Partitions for visible shorelines, Aequationes Math. 36 (1988), 201-211. MR 89j: 52007
-
(1988)
Aequationes Math.
, vol.36
, pp. 201-211
-
-
Breen, M.1
-
44
-
-
84972498483
-
External visibility
-
MR 55#11149
-
E. BUCHMAN AND F. A. VALENTINE, External visibility, Pacific J. Math. 64 (1976), 333-340. MR 55#11149
-
(1976)
Pacific J. Math.
, vol.64
, pp. 333-340
-
-
Buchman, E.1
Valentine, F.A.2
-
45
-
-
0004068114
-
-
Springer-Verlag, New York, Corrected reprint: Springer-Verlag, New York, MR 92c: 52001, MR 95k:52001
-
H. T. CROFT, K. J. FALCONER AND R. K. GUY, Unsolved Problems in Geometry, Springer-Verlag, New York, 1991. (Corrected reprint: Springer-Verlag, New York, 1994.) MR 92c: 52001, MR 95k:52001
-
(1991)
Unsolved Problems in Geometry
-
-
Croft, H.T.1
Falconer, K.J.2
Guy, R.K.3
-
46
-
-
0000904907
-
The number of congruent spheres that hide a given sphere of three-dimensional space is not less than 30
-
(in Russian). MR 82m:52008
-
G. CSÓKA, The number of congruent spheres that hide a given sphere of three-dimensional space is not less than 30, Studia Sci. Math. Hungar. 12 (1977), 323-334 (in Russian). MR 82m:52008
-
(1977)
Studia Sci. Math. Hungar.
, vol.12
, pp. 323-334
-
-
Csóka, G.1
-
47
-
-
34249759089
-
Illuminating high-dimensional convex sets
-
MR 96c:52009
-
J. CZYZOWICZ, B. GAUJAL, E. RIVERA-CAMPO, J. URRUTIA AND J. ZAKS, Illuminating high-dimensional convex sets, Geom. Dedicata 56 (1995), 115-120. MR 96c:52009
-
(1995)
Geom. Dedicata
, vol.56
, pp. 115-120
-
-
Czyzowicz, J.1
Gaujal, B.2
Rivera-Campo, E.3
Urrutia, J.4
Zaks, J.5
-
48
-
-
84974671938
-
Galleries, light matchings and visibility graphs
-
Dehne, F. et al. (Eds.), Ottawa, Canada
-
J. CZYZOWICZ, I. RIVAL AND J. URRUTIA, Galleries, light matchings and visibility graphs, In: Dehne, F. et al. (Eds.), Algorithms and Data Structures (Ottawa, Canada, 1989), pp. 316-324.
-
(1989)
Algorithms and Data Structures
, pp. 316-324
-
-
Czyzowicz, J.1
Rival, I.2
Urrutia, J.3
-
49
-
-
0004081831
-
-
Springer-Verlag, Berlin, MR 90i:68003
-
Lecture Notes in Comput. Sci., Vol. 382. Springer-Verlag, Berlin, 1989. MR 90i:68003
-
(1989)
Lecture Notes in Comput. Sci.
, vol.382
-
-
-
50
-
-
0043178312
-
Galleries and light matchings: Fat cooperative guards
-
MR 92j:52024
-
J. CZYZOWICZ, I. RIVAL AND J. URRUTIA, Galleries and light matchings: fat cooperative guards, Contemp. Math. 119 (1991), 21-28. MR 92j:52024
-
(1991)
Contemp. Math.
, vol.119
, pp. 21-28
-
-
Czyzowicz, J.1
Rival, I.2
Urrutia, J.3
-
52
-
-
53149108772
-
Protecting convex sets
-
MR 95j:52011
-
J. CZYZOWICZ, E. RIVERA-CAMPO, J. URRUTIA AND J. ZAKS, Protecting convex sets, Graphs Combin. 10 (1994), 311-321. MR 95j:52011
-
(1994)
Graphs Combin.
, vol.10
, pp. 311-321
-
-
Czyzowicz, J.1
Rivera-Campo, E.2
Urrutia, J.3
Zaks, J.4
-
53
-
-
0142110414
-
On illuminating line segments in the plane
-
MR 96b:52009
-
J. CZYZOWICZ, E. RIVERA-CAMPO, J. URRUTIA AND J. ZAKS, On illuminating line segments in the plane, Discrete Math. 137 (1995), 147-153. MR 96b:52009
-
(1995)
Discrete Math.
, vol.137
, pp. 147-153
-
-
Czyzowicz, J.1
Rivera-Campo, E.2
Urrutia, J.3
Zaks, J.4
-
54
-
-
0001376566
-
Drei Beispiele zu Lagerungsproblemen
-
Basel
-
L. DANZER, Drei Beispiele zu Lagerungsproblemen, Arch. Math. (Basel) 11 (1960), 159-165.
-
(1960)
Arch. Math.
, vol.11
, pp. 159-165
-
-
Danzer, L.1
-
55
-
-
0001751998
-
Helly's theorem and its relatives
-
Seattle, WA
-
L. DANZER, B. GRÜNBAUM AND V. KLEE, Helly's theorem and its relatives, Convexity (Seattle, WA, 1961),
-
(1961)
Convexity
-
-
Danzer, L.1
Grünbaum, B.2
Klee, V.3
-
56
-
-
0001751998
-
-
Amer. Math. Soc., Providence, R.I., (Corrected reprint: 1972.) MR 28#524
-
Proc. Symp. Pure Math. Vol. 7, pp. 101-179. Amer. Math. Soc., Providence, R.I., 1963. (Corrected reprint: 1972.) MR 28#524
-
(1963)
Proc. Symp. Pure Math.
, vol.7
, pp. 101-179
-
-
-
57
-
-
34249766876
-
Every convex n-dimensional body with a smooth belt can be illuminated by n + 1 directions
-
MR 94m:52003
-
B. V. DEKSTER, Every convex n-dimensional body with a smooth belt can be illuminated by n + 1 directions, J. Geom. 49 (1994), 90-95. MR 94m:52003
-
(1994)
J. Geom.
, vol.49
, pp. 90-95
-
-
Dekster, B.V.1
-
58
-
-
33847319240
-
The star number of covering a space with convex bodies
-
MR 29#5165
-
P. ERDOS AND C. A. ROGERS, The star number of covering a space with convex bodies, Acta Arith. 9 (1964), 41-45. MR 29#5165
-
(1964)
Acta Arith.
, vol.9
, pp. 41-45
-
-
Erdos, P.1
Rogers, C.A.2
-
59
-
-
0000135054
-
Verdeckung einer Kugel durch Kugeln
-
MR 22#4017
-
L. FEJES TÓTH, Verdeckung einer Kugel durch Kugeln, Publ. Math. Debrecen 6 (1959), 234-240. MR 22#4017
-
(1959)
Publ. Math. Debrecen
, vol.6
, pp. 234-240
-
-
Fejes Tóth, L.1
-
60
-
-
0040715633
-
Illumination of convex discs
-
MR 57#4002
-
L. FEJES TÓTH, Illumination of convex discs, Acta Math. Acad. Sci. Hungar. 29 (1977), 355-360. MR 57#4002
-
(1977)
Acta Math. Acad. Sci. Hungar.
, vol.29
, pp. 355-360
-
-
Fejes Tóth, L.1
-
62
-
-
0039655667
-
A problem on covering of convex figures by similar figures
-
in Russian
-
I. GOHBERG AND A. MARKUS, A problem on covering of convex figures by similar figures, Izv. Mold. Fil. Akad. Nauk SSSR (1960), no. 10, 87-90 (in Russian).
-
(1960)
Izv. Mold. Fil. Akad. Nauk SSSR
, Issue.10
, pp. 87-90
-
-
Gohberg, I.1
Markus, A.2
-
63
-
-
53149101128
-
On a problem of L. Fejes-Tóth
-
MR 25#3398
-
B. GRÜNBAUM, On a problem of L. Fejes-Tóth, Amer. Math. Monthly 67 (1960), 882-884. MR 25#3398
-
(1960)
Amer. Math. Monthly
, vol.67
, pp. 882-884
-
-
Grünbaum, B.1
-
64
-
-
0008157995
-
Borsuk's problem and related questions
-
Seattle, WA
-
B. GRÜNBAUM, Borsuk's problem and related questions, Convexity (Seattle, WA, 1961),
-
(1961)
Convexity
-
-
Grünbaum, B.1
-
65
-
-
0008157995
-
-
Amer. Math. Soc., Providence, R.I., (Corrected reprint: 1972) MR 27#4134
-
Proc. Symp. Pure Math. Vol. 7, pp. 271-283. Amer. Math. Soc., Providence, R.I., 1963. (Corrected reprint: 1972) MR 27#4134
-
(1963)
Proc. Symp. Pure Math.
, vol.7
, pp. 271-283
-
-
-
66
-
-
0040393277
-
Fixing systems and inner illumination
-
MR 28#3367
-
B. GRÜNBAUM, Fixing systems and inner illumination, Acta Math. Acad. Sci. Hungar. 15 (1964), 161-163. MR 28#3367
-
(1964)
Acta Math. Acad. Sci. Hungar.
, vol.15
, pp. 161-163
-
-
Grünbaum, B.1
-
67
-
-
0004291883
-
-
Interscience Publishers, New York, MR 37#2085
-
B. GRÜNBAUM, Convex Polytopes, Interscience Publishers, New York, 1967. MR 37#2085
-
(1967)
Convex Polytopes
-
-
Grünbaum, B.1
-
68
-
-
0013525995
-
Ungelöste Probleme
-
H. HADWIGER, Ungelöste Probleme, Nr. 20, Elem. Math. 12 (1957), 121.
-
(1957)
Elem. Math.
, vol.12
, Issue.20
, pp. 121
-
-
Hadwiger, H.1
-
69
-
-
0039063522
-
Ungelöste Probleme
-
H. HADWIGER, Ungelöste Probleme, Nr. 38, Elem. Math. 15 (1960), 130-131.
-
(1960)
Elem. Math.
, vol.15
, Issue.38
, pp. 130-131
-
-
Hadwiger, H.1
-
70
-
-
53149116475
-
Ungelöste Probleme
-
Nachtrag zu Nr. 38
-
H. HADWIGER, Ungelöste Probleme, Nachtrag zu Nr. 38, Elem. Math. 17 (1962), 84-85.
-
(1962)
Elem. Math.
, vol.17
, pp. 84-85
-
-
Hadwiger, H.1
-
71
-
-
0040987323
-
Ungelöste Probleme
-
H. HADWIGER, Ungelöste Probleme, Nr. 55, Elem. Math. 27 (1972), 57.
-
(1972)
Elem. Math.
, vol.27
, Issue.55
, pp. 57
-
-
Hadwiger, H.1
-
72
-
-
0040628299
-
Towards the problem of illumination
-
(in Russian). MR 48#12297
-
A. B. HARAZIŠVILI, Towards the problem of illumination, Soobshch. Akad. Nauk Gruzin. SSR 71 (1973), 289-291 (in Russian). MR 48#12297
-
(1973)
Soobshch. Akad. Nauk Gruzin. SSR
, vol.71
, pp. 289-291
-
-
Harazišvili, A.B.1
-
73
-
-
17444431966
-
Characteristic properties of a parallelepiped
-
(in Russian). MR 49#3690
-
A. B. HARAZIŠVILI, Characteristic properties of a parallelepiped, Soobshch. Akad. Nauk Gruzin. SSR 72 (1973), 17-19 (in Russian). MR 49#3690
-
(1973)
Soobshch. Akad. Nauk Gruzin. SSR
, vol.72
, pp. 17-19
-
-
Harazišvili, A.B.1
-
75
-
-
53149085873
-
On a property of families of convex figures
-
(in Russian). MR 83g:52003
-
A. B. HARAZIŠVILI, On a property of families of convex figures, Soobshch. Akad. Nauk Gruzin. SSR 102 (1981), 25-28 (in Russian). MR 83g:52003
-
(1981)
Soobshch. Akad. Nauk Gruzin. SSR
, vol.102
, pp. 25-28
-
-
Harazišvili, A.B.1
-
76
-
-
0001670394
-
On the number of spheres which can hide a given sphere
-
MR 35#875
-
A. HEPPES, On the number of spheres which can hide a given sphere, Canad. J. Math. 19 (1967), 413-418. MR 35#875
-
(1967)
Canad. J. Math.
, vol.19
, pp. 413-418
-
-
Heppes, A.1
-
77
-
-
0038962135
-
Old and New Unsolved Problems in Plane Geometry and Number Theory
-
Math. Assoc. of America, MR 96k:000140
-
V. KLEE AND S. WAGON, Old and New Unsolved Problems in Plane Geometry and Number Theory, Dolciani Math. Expositions, No. 11, Math. Assoc. of America, 1991. MR 96k:000140.
-
(1991)
Dolciani Math. Expositions
, Issue.11
-
-
Klee, V.1
Wagon, S.2
-
79
-
-
53149120125
-
Covering plane convex bodies with smaller homothetic copies
-
Böröczky, K., Fejes Tóth, G. (Eds.), Siófok, Hungary
-
M. LASSAK, Covering plane convex bodies with smaller homothetic copies, In: Böröczky, K., Fejes Tóth, G. (Eds.), Intuitive Geometry (Siófok, Hungary, 1985), pp. 331-337.
-
(1985)
Intuitive Geometry
, pp. 331-337
-
-
Lassak, M.1
-
80
-
-
53149088394
-
-
North-Holland, Amsterdam, MR 88i:52023
-
Colloq. Math. Soc. János Bolyai, Vol. 48. North-Holland, Amsterdam, 1987. MR 88i:52023
-
(1987)
Colloq. Math. Soc. János Bolyai
, vol.48
-
-
-
81
-
-
0039496320
-
Covering the boundary of a convex set by tiles
-
MR 89f:52038
-
M. LASSAK, Covering the boundary of a convex set by tiles, Proc. Amer. Math. Soc. 104 (1988), 269-272. MR 89f:52038
-
(1988)
Proc. Amer. Math. Soc.
, vol.104
, pp. 269-272
-
-
Lassak, M.1
-
82
-
-
0040206015
-
Illumination of three-dimensional convex bodies of constant width
-
Artemiadis, N. K., Stephanidis, N. K. (Eds.), Thessaloniki, Greece, Aristotle Univ. of Thessaloniki, Thessaloniki
-
M. LASSAK, Illumination of three-dimensional convex bodies of constant width, In: Artemiadis, N. K., Stephanidis, N. K. (Eds.), Proc. 4th Internat. Congress of Geometry (Thessaloniki, Greece, 1996), pp. 246-250. Aristotle Univ. of Thessaloniki, Thessaloniki, 1997.
-
(1996)
Proc. 4th Internat. Congress of Geometry
, pp. 246-250
-
-
Lassak, M.1
-
83
-
-
53149086885
-
Covering a three-dimensional convex body by smaller homothetic copies
-
in print
-
M. LASSAK, Covering a three-dimensional convex body by smaller homothetic copies, Beiträge Algebra Geom. (in print)
-
Beiträge Algebra Geom.
-
-
Lassak, M.1
-
84
-
-
33846155778
-
Ein geometrisches Überdeckungsproblem
-
(Basel) MR 16,163a
-
F. W. LEVI, Ein geometrisches Überdeckungsproblem, Arch. Math. (Basel) 5 (1954), 467-478. MR 16,163a
-
(1954)
Arch. Math.
, vol.5
, pp. 467-478
-
-
Levi, F.W.1
-
85
-
-
0040247484
-
Überdeckung eines Eibereiches durch Parallelverschiebungen seines offenen Kerns
-
(Basel) MR 17,888b
-
F. W. LEVI, Überdeckung eines Eibereiches durch Parallelverschiebungen seines offenen Kerns, Arch. Math. (Basel) 6 (1955), 369-370. MR 17,888b
-
(1955)
Arch. Math.
, vol.6
, pp. 369-370
-
-
Levi, F.W.1
-
86
-
-
34250240012
-
Die Beleuchtung von Kugeln
-
MR 82i:52013
-
J. LINHART, Die Beleuchtung von Kugeln, Geom. Dedicata 10 (1981), 145-154. MR 82i:52013
-
(1981)
Geom. Dedicata
, vol.10
, pp. 145-154
-
-
Linhart, J.1
-
87
-
-
51249191341
-
Inner illumination of convex polytopes
-
MR 49#3699
-
P. MANI, Inner illumination of convex polytopes, Comment. Math. Helv. 49 (1974), 65-73. MR 49#3699
-
(1974)
Comment. Math. Helv.
, vol.49
, pp. 65-73
-
-
Mani, P.1
-
88
-
-
0040638801
-
Some results and problems around zonotopes
-
Böröczky, K., Fejes Tóth, G. (Eds.), Siófok, Hungary
-
H. MARTINI, Some results and problems around zonotopes, In: Böröczky, K., Fejes Tóth, G. (Eds.), Intuitive Geometry (Siófok, Hungary, 1985), pp. 383-418.
-
(1985)
Intuitive Geometry
, pp. 383-418
-
-
Martini, H.1
-
89
-
-
53149125321
-
-
North-Holland, Amsterdam, MR 89e:52013
-
Colloq. Math. Soc. János Bolyai, Vol. 48. North-Holland, Amsterdam, 1987. MR 89e:52013
-
(1987)
Colloq. Math. Soc. János Bolyai
, vol.48
-
-
-
90
-
-
0041625671
-
Shadow-boundaries of convex bodies
-
MR 97j:52005
-
H. MARTINI, Shadow-boundaries of convex bodies, Discrete Math. 155 (1996), 161-172. MR 97j:52005
-
(1996)
Discrete Math.
, vol.155
, pp. 161-172
-
-
Martini, H.1
-
92
-
-
85045781024
-
A characterization of simplices in terms of visibility
-
(Basel), to appear
-
H. MARTINI AND V. SOLTAN, A characterization of simplices in terms of visibility, Arch. Math. (Basel), to appear.
-
Arch. Math.
-
-
Martini, H.1
Soltan, V.2
-
93
-
-
53149091480
-
Illuminability of a subset of the boundary of a convex body
-
(in Russian). MR 86a:52009
-
A. G. NETREBIN AND JU. A. ŠAŠKIN, Illuminability of a subset of the boundary of a convex body, Mat. Zametki 35 (1984), 749-755 (in Russian). MR 86a:52009
-
(1984)
Mat. Zametki
, vol.35
, pp. 749-755
-
-
Netrebin, A.G.1
Šaškin, Ju.A.2
-
95
-
-
84976163902
-
A note on coverings
-
MR 19,877c
-
C. A. ROGERS, A note on coverings, Mathematika 4 (1957), 1-6. MR 19,877c
-
(1957)
Mathematika
, vol.4
, pp. 1-6
-
-
Rogers, C.A.1
-
96
-
-
84971146089
-
Covering a sphere with spheres
-
MR 29#3960
-
C. A. ROGERS, Covering a sphere with spheres, Mathematika 10 (1963), 157-164. MR 29#3960
-
(1963)
Mathematika
, vol.10
, pp. 157-164
-
-
Rogers, C.A.1
-
97
-
-
0004279601
-
-
Cambridge University Press, New York, MR 30#2405
-
C. A. ROGERS, Packing and Covering, Cambridge University Press, New York, 1964. MR 30#2405
-
(1964)
Packing and Covering
-
-
Rogers, C.A.1
-
98
-
-
0000227188
-
The difference body of a convex body
-
(Basel) MR 19,1073f
-
C. A. ROGERS AND G. C. SHEPHARD, The difference body of a convex body, Arch. Math. (Basel) 8 (1957), 220-233. MR 19,1073f
-
(1957)
Arch. Math.
, vol.8
, pp. 220-233
-
-
Rogers, C.A.1
Shephard, G.C.2
-
99
-
-
21744432772
-
Covering convex bodies by translates of convex bodies
-
C. A. ROGERS AND C. ZONG, Covering convex bodies by translates of convex bodies, Mathematika 44 (1997), 215-218.
-
(1997)
Mathematika
, vol.44
, pp. 215-218
-
-
Rogers, C.A.1
Zong, C.2
-
100
-
-
0040987322
-
Inner illumination of convex polytopes
-
MR 51#11283
-
M. ROSENFELD, Inner illumination of convex polytopes, Elem. Math. 30 (1975), 27-28. MR 51#11283
-
(1975)
Elem. Math.
, vol.30
, pp. 27-28
-
-
Rosenfeld, M.1
-
101
-
-
0040363365
-
Problems in discrete and combinatorial geometry
-
Gruber, P. M., Wills, J. M. (Eds.), North-Holland, Amsterdam, MR 94h:52002
-
P. SCHMITT, Problems in discrete and combinatorial geometry, In: Gruber, P. M., Wills, J. M. (Eds.), Handbook of Convex Geometry Vol. A, pp. 449-483. North-Holland, Amsterdam, 1993. MR 94h:52002
-
(1993)
Handbook of Convex Geometry
, vol.A
, pp. 449-483
-
-
Schmitt, P.1
-
102
-
-
84971761881
-
Illuminating sets of constant width
-
MR 89m:52013
-
O. SCHRAMM, Illuminating sets of constant width, Mathematika 35 (1988), 180-189. MR 89m:52013
-
(1988)
Mathematika
, vol.35
, pp. 180-189
-
-
Schramm, O.1
-
103
-
-
0026923143
-
Recent results in art galleries
-
T. SHERMER, Recent results in art galleries, Proc. IEEE 80 (1992), 1384-1399.
-
(1992)
Proc. IEEE
, vol.80
, pp. 1384-1399
-
-
Shermer, T.1
-
104
-
-
0040987315
-
On the illumination of the boundary of a convex body from within
-
(in Russian). MR 29#518
-
P. SOLTAN, On the illumination of the boundary of a convex body from within, Mat. Sb. 57 (1962), 443-448 (in Russian). MR 29#518
-
(1962)
Mat. Sb.
, vol.57
, pp. 443-448
-
-
Soltan, P.1
-
105
-
-
0002191029
-
On problems about the covering and illumination of convex bodies
-
(in Russian). MR 34#6642
-
P. SOLTAN, On problems about the covering and illumination of convex bodies, Izv. Akad Nauk Mold. SSR. Ser. Estestv. Tekhn. Nauk (1963), no. 1, 49-57 (in Russian). MR 34#6642
-
(1963)
Izv. Akad Nauk Mold. SSR. Ser. Estestv. Tekhn. Nauk
, Issue.1
, pp. 49-57
-
-
Soltan, P.1
-
106
-
-
53149113235
-
About some problems on covering and illumination of convex bodies
-
(in Russian). MR 34#1930
-
P. SOLTAN, About some problems on covering and illumination of convex bodies, Kishinev. Gos. Univ. Učen. Zap. No. 82 (1965), 69-74 (in Russian). MR 34#1930
-
(1965)
Kishinev. Gos. Univ. Učen. Zap.
, Issue.82
, pp. 69-74
-
-
Soltan, P.1
-
107
-
-
53149094855
-
Connections between the problems of covering and illumination of convex bodies
-
(in Russian). MR 34#6643
-
P. SOLTAN, Connections between the problems of covering and illumination of convex bodies, Izv. Akad. Nauk Mold. SSR. Ser. Fiz.-Tekhn. Mat. Nauk (1966), no. 4, 91-93 (in Russian). MR 34#6643
-
(1966)
Izv. Akad. Nauk Mold. SSR. Ser. Fiz.-Tekhn. Mat. Nauk
, Issue.4
, pp. 91-93
-
-
Soltan, P.1
-
108
-
-
53149136417
-
On the illumination of unbounded convex bodies
-
(in Russian). MR 44#3209
-
P. SOLTAN, On the illumination of unbounded convex bodies, Mat. Issled. 5 (1970), no. 1, 128-140 (in Russian). MR 44#3209
-
(1970)
Mat. Issled.
, vol.5
, Issue.1
, pp. 128-140
-
-
Soltan, P.1
-
109
-
-
53149122272
-
A solution to the problem of covering unbounded convex three-dimensional bodies with homothetic ones
-
(in Russian). MR43#1049
-
P. SOLTAN, A solution to the problem of covering unbounded convex three-dimensional bodies with homothetic ones, Mat. Issled. 5 (1970), no. 2, 193-195 (in Russian). MR43#1049
-
(1970)
Mat. Issled.
, vol.5
, Issue.2
, pp. 193-195
-
-
Soltan, P.1
-
110
-
-
0042228083
-
Illumination from within for unbounded convex bodies
-
in Russian
-
P. SOLTAN, Illumination from within for unbounded convex bodies, Dokl. Akad. Nauk SSSR 194 (1970), 273-274 (in Russian).
-
(1970)
Dokl. Akad. Nauk SSSR
, vol.194
, pp. 273-274
-
-
Soltan, P.1
-
111
-
-
0043230205
-
-
English translation: MR42#5162
-
(English translation: Soviet Math. Dokl. 11 (1970), 1199-1201.) MR42#5162
-
(1970)
Soviet Math. Dokl.
, vol.11
, pp. 1199-1201
-
-
-
112
-
-
53149130389
-
Covering of convex bodies by larger homothetic ones
-
(in Russian). MR 45#5880
-
P. SOLTAN, Covering of convex bodies by larger homothetic ones, Mat. Issled. 6 (1971), no. 4, 191-196 (in Russian). MR 45#5880
-
(1971)
Mat. Issled.
, vol.6
, Issue.4
, pp. 191-196
-
-
Soltan, P.1
-
113
-
-
53149145865
-
On the covering of polyhedra by homothetic images
-
in Russian
-
P. SOLTAN, On the covering of polyhedra by homothetic images, Dokl. Akad. Nauk SSSR 202 (1972), 541-544 (in Russian).
-
(1972)
Dokl. Akad. Nauk SSSR
, vol.202
, pp. 541-544
-
-
Soltan, P.1
-
114
-
-
52649140397
-
-
English translation: MR 45#4283
-
(English translation: Soviet Math. Dokl. 13 (1972), 155-159.) MR 45#4283
-
(1972)
Soviet Math. Dokl.
, vol.13
, pp. 155-159
-
-
-
115
-
-
53149125000
-
The covering of convex bodies by homothetic ones
-
(in Russian). MR 46#6171
-
P. SOLTAN, The covering of convex bodies by homothetic ones, Fund. Math. 76 (1972), 85-93 (in Russian). MR 46#6171
-
(1972)
Fund. Math.
, vol.76
, pp. 85-93
-
-
Soltan, P.1
-
116
-
-
53149098790
-
Covering convex bodies by larger homothetic ones
-
(in Russian). MR 47#7603
-
P. SOLTAN, Covering convex bodies by larger homothetic ones, Mat. Zametki 12 (1972), 85-90 (in Russian). MR 47#7603
-
(1972)
Mat. Zametki
, vol.12
, pp. 85-90
-
-
Soltan, P.1
-
118
-
-
0040841951
-
Illumination through convex bodies
-
in Russian
-
P. SOLTAN AND V. SOLTAN, Illumination through convex bodies, Dokl. Akad. Nauk SSSR 286 (1986), 50-53 (in Russian).
-
(1986)
Dokl. Akad. Nauk SSSR
, vol.286
, pp. 50-53
-
-
Soltan, P.1
Soltan, V.2
-
119
-
-
0040247485
-
-
English translation: MR 87f:52008
-
(English translation: Soviet. Math. Dokl. 33 (1986), 42-44.) MR 87f:52008
-
(1986)
Soviet. Math. Dokl.
, vol.33
, pp. 42-44
-
-
-
120
-
-
53149130025
-
Illumination of convex figures in the plane
-
(in Russian). MR 81b:52003
-
V. SOLTAN, Illumination of convex figures in the plane, Izv. Akad. Nauk Mold. SSR. Ser. Fiz.-Tekhn. Mat. Nauk (1979), no. 2, 29-32 (in Russian). MR 81b:52003
-
(1979)
Izv. Akad. Nauk Mold. SSR. Ser. Fiz.-Tekhn. Mat. Nauk
, Issue.2
, pp. 29-32
-
-
Soltan, V.1
-
121
-
-
53149140478
-
The covering of a three-dimensional unbounded convex body by larger homothetic copies
-
(in Russian). MR 89f:52041
-
V. SOLTAN, The covering of a three-dimensional unbounded convex body by larger homothetic copies, Mat. Issled. No. 103 (1988), 164-173 (in Russian). MR 89f:52041
-
(1988)
Mat. Issled.
, Issue.103
, pp. 164-173
-
-
Soltan, V.1
-
122
-
-
0007298092
-
External illumination according to L. Fejes Tóth
-
MR 95b:52012
-
V. SOLTAN, External illumination according to L. Fejes Tóth, Studia Sci. Math. Hungar. 28 (1993), 473-483. MR 95b:52012
-
(1993)
Studia Sci. Math. Hungar.
, vol.28
, pp. 473-483
-
-
Soltan, V.1
-
123
-
-
52649094236
-
An illumination problem
-
MR 95d:52007
-
V. SOLTAN, An illumination problem, Studia Sci. Math. Hungar. 29 (1994), 25-32. MR 95d:52007
-
(1994)
Studia Sci. Math. Hungar.
, vol.29
, pp. 25-32
-
-
Soltan, V.1
-
124
-
-
0040393275
-
On Grünbaum's problem about inner illumination of convex bodies
-
MR 96e:52011
-
V. SOLTAN, On Grünbaum's problem about inner illumination of convex bodies, Acta Math. Hungar. 69 (1995), 15-25. MR 96e:52011
-
(1995)
Acta Math. Hungar.
, vol.69
, pp. 15-25
-
-
Soltan, V.1
-
125
-
-
53149134877
-
Problem 76: Dark cloud problem
-
V. SOLTAN, Problem 76: Dark cloud problem, Math. Semesterber. 42 (1995), 81-82.
-
(1995)
Math. Semesterber.
, vol.42
, pp. 81-82
-
-
Soltan, V.1
-
126
-
-
0043235296
-
Primitive illumination systems for families of convex bodies in the plane
-
V. SOLTAN, L. SZABÓ AND É. VÁSÁRHELYI, Primitive illumination systems for families of convex bodies in the plane, Geom. Dedicata 66 (1997), 125-148.
-
(1997)
Geom. Dedicata
, vol.66
, pp. 125-148
-
-
Soltan, V.1
Szabó, L.2
Vásárhelyi, É.3
-
127
-
-
0040088028
-
Recent results on illumination problems
-
Baranyi, I., Böröczky, K. (Eds.), Budapest, Hungary
-
L. SZABÓ, Recent results on illumination problems, In: Baranyi, I., Böröczky, K. (Eds.), Intuitive Geometry (Budapest, Hungary, 1995), pp. 207-221.
-
(1995)
Intuitive Geometry
, pp. 207-221
-
-
Szabó, L.1
-
128
-
-
53149108409
-
-
János Bolyai Math. Soc., Budapest
-
Bolyai Soc. Math. Studies, Vol. 6. János Bolyai Math. Soc., Budapest, 1997.
-
(1997)
Bolyai Soc. Math. Studies
, vol.6
-
-
-
129
-
-
0005293415
-
Visible shorelines
-
MR41#2530
-
F. A. VALENTINE, Visible shorelines, Amer. Math. Monthly 77 (1970), 146-152. MR41#2530
-
(1970)
Amer. Math. Monthly
, vol.77
, pp. 146-152
-
-
Valentine, F.A.1
-
130
-
-
53149130390
-
Some problems on the covering and illumination of unbounded convex figures
-
in Russian
-
V. N. VIZITEI, Some problems on the covering and illumination of unbounded convex figures, Izv. Akad. Nauk Mold. SSR (1961), no. 10, 3-9 (in Russian).
-
(1961)
Izv. Akad. Nauk Mold. SSR
, Issue.10
, pp. 3-9
-
-
Vizitei, V.N.1
-
131
-
-
8744282978
-
Eine Bemerkung zur Überdeckung beschränkter Mengen durch Mengen kleineren Durchmessers
-
MR 84f:52014
-
B. WEISSBACH, Eine Bemerkung zur Überdeckung beschränkter Mengen durch Mengen kleineren Durchmessers, Beiträge Algebra Geom. 11 (1981), 119-122. MR 84f:52014
-
(1981)
Beiträge Algebra Geom.
, vol.11
, pp. 119-122
-
-
Weissbach, B.1
-
132
-
-
53149119363
-
Einiges über Körper festes Breite
-
MR 92d:52020
-
B. WEISSBACH, Einiges über Körper festes Breite, Beiträge Algebra Geom. 31 (1990), 69-76. MR 92d:52020
-
(1990)
Beiträge Algebra Geom.
, vol.31
, pp. 69-76
-
-
Weissbach, B.1
-
134
-
-
8744278412
-
Invariante Beleuchtung konvexer Körper
-
MR 97j:52011
-
B. WEISSBACH, Invariante Beleuchtung konvexer Körper, Beiträge Algebra Geom. 37 (1996), 9-15. MR 97j:52011
-
(1996)
Beiträge Algebra Geom.
, vol.37
, pp. 9-15
-
-
Weissbach, B.1
-
135
-
-
53149143722
-
About one covering property of the unit ball in a finite-dimensional space
-
in Russian
-
M. ZAMBIŢCHI, About one covering property of the unit ball in a finite-dimensional space, Bel'tskii Pedag. Inst. Ucen. Zap. (1960), no. 5, 77-79 (in Russian).
-
(1960)
Bel'tskii Pedag. Inst. Ucen. Zap.
, Issue.5
, pp. 77-79
-
-
Zambiţchi, M.1
-
136
-
-
0013508028
-
Some remarks concerning kissing numbers, blocking numbers and covering numbers
-
MR 96g:52039
-
C. ZONG, Some remarks concerning kissing numbers, blocking numbers and covering numbers, Period. Math. Hungar. 30 (1995), 233-238. MR 96g:52039
-
(1995)
Period. Math. Hungar.
, vol.30
, pp. 233-238
-
-
Zong, C.1
-
137
-
-
0001514743
-
A problem of blocking light rays
-
C. ZONG, A problem of blocking light rays, Geom. Dedicata 67 (1997), 117-128.
-
(1997)
Geom. Dedicata
, vol.67
, pp. 117-128
-
-
Zong, C.1
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