-
2
-
-
0010603948
-
The problem of illumination of the boundary of a convex body by affine subspaces
-
K. BEZDEK, The problem of illumination of the boundary of a convex body by affine subspaces, Mathematika 38 (1991), 362-375.
-
(1991)
Mathematika
, vol.38
, pp. 362-375
-
-
BEZDEK, K.1
-
3
-
-
0039442958
-
Hadwiger's covering conjecture and its relatives
-
K. BEZDEK, Hadwiger's covering conjecture and its relatives, Amer. Math. Monthly 99 (1992), 954-956.
-
(1992)
Amer. Math. Monthly
, vol.99
, pp. 954-956
-
-
BEZDEK, K.1
-
4
-
-
0005329840
-
On the illumination of smooth convex bodies
-
K. BEZDEK, On the illumination of smooth convex bodies, Arch. Math. 58 (1992), 611-614.
-
(1992)
Arch. Math
, vol.58
, pp. 611-614
-
-
BEZDEK, K.1
-
5
-
-
33846130490
-
-
K. BEZDEK, Research problem 46, Periodica Math. Hungar. 24 (1992), 119-121.
-
K. BEZDEK, Research problem 46, Periodica Math. Hungar. 24 (1992), 119-121.
-
-
-
-
7
-
-
33847314163
-
A note on the illumination of convex bodies
-
K. BEZDEK, A note on the illumination of convex bodies, Geometriae Dedicate, 45 (1993), 89-91.
-
(1993)
Geometriae Dedicate
, vol.45
, pp. 89-91
-
-
BEZDEK, K.1
-
8
-
-
51649143595
-
-
K. BEZDEK, GY. KISS and M. MOLLARD, An illumination problem for zonoids, Israel J. Math. 81 (1993), 265-272.
-
K. BEZDEK, GY. KISS and M. MOLLARD, An illumination problem for zonoids, Israel J. Math. 81 (1993), 265-272.
-
-
-
-
9
-
-
0042147544
-
On affine subspaces that illuminate a convex set
-
K. BEZDEK, On affine subspaces that illuminate a convex set, Beiträge zur Alg. und Geom. 35 (1994), 131-139.
-
(1994)
Beiträge zur Alg. und Geom
, vol.35
, pp. 131-139
-
-
BEZDEK, K.1
-
10
-
-
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
-
11
-
-
33847300052
-
On the vertex index of convex bodies
-
accepted
-
K. BEZDEK and A. LITVAK, On the vertex index of convex bodies, Advances in Math., 1-20 (accepted).
-
Advances in Math
, pp. 1-20
-
-
BEZDEK, K.1
LITVAK, A.2
-
12
-
-
33847312253
-
-
K. BEZDEK, ZS. LÁNGI, M. NASZÓDI and P. PAPEZ, Ball-polytopes, Preprint, Dept. of Math. and Stats., Univ. of Calgary, 2005, 1-24.
-
K. BEZDEK, ZS. LÁNGI, M. NASZÓDI and P. PAPEZ, Ball-polytopes, Preprint, Dept. of Math. and Stats., Univ. of Calgary, 2005, 1-24.
-
-
-
-
13
-
-
0007228724
-
The problem of illuminating the boundary of a convex body
-
V. BOLTYANSKI, The problem of illuminating the boundary of a convex body, Izv. Mold. Fil. AN SSSR 76 (1960), 77-84.
-
(1960)
Izv. Mold. Fil. AN SSSR
, vol.76
, pp. 77-84
-
-
BOLTYANSKI, V.1
-
14
-
-
0010862327
-
A solution of the illumination problem for belt bodies
-
V. BOLTYANSKI, A solution of the illumination problem for belt bodies, Mat. Zametki 58 (1996), 505-511.
-
(1996)
Mat. Zametki
, vol.58
, pp. 505-511
-
-
BOLTYANSKI, V.1
-
15
-
-
33847323512
-
Solution of the illumination problem for three dimensional convex bodies
-
V. BOLTYANSKI, Solution of the illumination problem for three dimensional convex bodies, Dokl. Akad. Nauk 375 (2000), 298-301.
-
(2000)
Dokl. Akad. Nauk
, vol.375
, pp. 298-301
-
-
BOLTYANSKI, V.1
-
16
-
-
0035605484
-
Solution of the illumination problem for bodies with md M = 2
-
V. BOLTYANSKI, Solution of the illumination problem for bodies with md M = 2, Discrete Comput. Geom. 26 (2001), 527-541.
-
(2001)
Discrete Comput. Geom
, vol.26
, pp. 527-541
-
-
BOLTYANSKI, V.1
-
17
-
-
0040035064
-
Covering belt bodies by smaller homothetical copies
-
V. BOLTYANSKI and H. MARTINI, Covering belt bodies by smaller homothetical copies, Beiträge zur Alg. und Geom. 42 (2001), 313-324.
-
(2001)
Beiträge zur Alg. und Geom
, vol.42
, pp. 313-324
-
-
BOLTYANSKI, V.1
MARTINI, H.2
-
19
-
-
33847248965
-
3 symmetric about a plane can be illuminated by 8 directions
-
3 symmetric about a plane can be illuminated by 8 directions, J. Geom. 69/1-2 (2000), 37-50.
-
(2000)
J. Geom
, vol.69
, Issue.1-2
, pp. 37-50
-
-
DEKSTER, B.V.1
-
20
-
-
33847319240
-
The star number of covering a space with convex bodies
-
P. ERDOS and C. A. ROGERS, The star number of covering a space with convex bodies, Acta Arith. 9 (1964), 41-45.
-
(1964)
Acta Arith
, vol.9
, pp. 41-45
-
-
ERDOS, P.1
ROGERS, C.A.2
-
21
-
-
0039655667
-
A problem on covering of convex figures by similar figures
-
I. GOHBERG and A. MARKUS, A problem on covering of convex figures by similar figures, Izv. Mold. Fil. Akad. Nauk. SSSR 10 (1960), 87-90.
-
(1960)
Izv. Mold. Fil. Akad. Nauk. SSSR
, vol.10
, pp. 87-90
-
-
GOHBERG, I.1
MARKUS, A.2
-
22
-
-
33847317462
-
-
H. HADWIGER, Ungelöste Probleme, Nr. 38, Elem. Math. 15 (1960), 130-131.
-
H. HADWIGER, Ungelöste Probleme, Nr. 38, Elem. Math. 15 (1960), 130-131.
-
-
-
-
23
-
-
52849119783
-
Illumination problems and codes
-
GY. KISS, Illumination problems and codes, Periodica Math. Hungar. 39 (1999), 65-71.
-
(1999)
Periodica Math. Hungar
, vol.39
, pp. 65-71
-
-
GY1
KISS2
-
25
-
-
0039496320
-
Covering the boundary of a convex set by tiles
-
M. LASSAK, Covering the boundary of a convex set by tiles, Proc. Amer. Math. Soc. 104 (1988), 269-272.
-
(1988)
Proc. Amer. Math. Soc
, vol.104
, pp. 269-272
-
-
LASSAK, M.1
-
26
-
-
0040206015
-
Illumination of three-dimensional convex bodies of constant width
-
Aristotle Univ. of Thessaloniki
-
M. LASSAK, Illumination of three-dimensional convex bodies of constant width, Proceedings of 4th Internat. Congress of Geometry, Aristotle Univ. of Thessaloniki, 1997, 246-250.
-
(1997)
Proceedings of 4th Internat. Congress of Geometry
, pp. 246-250
-
-
LASSAK, M.1
-
27
-
-
33847249460
-
-
H. MARTINI, Some results and problems around zonotopes, Coll. Math. Soc. J. Bolyai, Intuitive Geometry, Siófok 1985, North Holland 48 (1987), 383-418.
-
H. MARTINI, Some results and problems around zonotopes, Coll. Math. Soc. J. Bolyai, Intuitive Geometry, Siófok 1985, North Holland 48 (1987), 383-418.
-
-
-
-
28
-
-
0000679816
-
Combinatorial problems on the illumination of convex bodies
-
H. MARTINI and V. SOLTAN, Combinatorial problems on the illumination of convex bodies, Aeguationes Math. 57 (1999), 121-152.
-
(1999)
Aeguationes Math
, vol.57
, pp. 121-152
-
-
MARTINI, H.1
SOLTAN, V.2
-
30
-
-
0000227188
-
The difference body of a convex body
-
C. A. ROGERS and G. C. SHEPHARD, The difference body of a convex body, Arch. Math. 8 (1957), 220-233.
-
(1957)
Arch. Math
, vol.8
, pp. 220-233
-
-
ROGERS, C.A.1
SHEPHARD, G.C.2
-
31
-
-
84971761881
-
Illuminating sets of constant width
-
O. SCHRAMM, Illuminating sets of constant width, Mathematika 35 (1988), 180-189.
-
(1988)
Mathematika
, vol.35
, pp. 180-189
-
-
SCHRAMM, O.1
-
32
-
-
0040841951
-
Illumination through convex bodies
-
P. SOLTAN and V. SOLTAN, Illumination through convex bodies, Dokl. Akad. Nauk. SSSR 286 (1986), 50-53.
-
(1986)
Dokl. Akad. Nauk. SSSR
, vol.286
, pp. 50-53
-
-
SOLTAN, P.1
SOLTAN, V.2
-
33
-
-
33847311355
-
arXiv:math.MG/0410144v1
-
K.J. SWANEPOEL, Quantitative illumination of convex bodies and vertex degrees of geometric Steiner minimal trees, arXiv:math.MG/0410144v1 (2004), 1-5.
-
(2004)
, pp. 1-5
-
-
SWANEPOEL, K.J.1
-
34
-
-
0042228897
-
Solution of Hadwiger-Levi's covering problem for duals of cyclic 2k-polytopes
-
I. TALATA, Solution of Hadwiger-Levi's covering problem for duals of cyclic 2k-polytopes, Geom. Dedicata 74 (1999), 61-71.
-
(1999)
Geom. Dedicata
, vol.74
, pp. 61-71
-
-
TALATA, I.1
-
35
-
-
8744278412
-
Invariante Beleuchtung konvexer Körper
-
B. WEISSBACH, Invariante Beleuchtung konvexer Körper, Beiträge zur Alg. Geom. 37 (1996), 9-15.
-
(1996)
Beiträge zur Alg. Geom
, vol.37
, pp. 9-15
-
-
WEISSBACH, B.1
-
36
-
-
0013508028
-
Some remarks concerning kissing numbers, blocking numbers and covering numbers
-
C. ZONG, Some remarks concerning kissing numbers, blocking numbers and covering numbers, Periodica Math. Hungar. 30 (1995), 233-238.
-
(1995)
Periodica Math. Hungar
, vol.30
, pp. 233-238
-
-
ZONG, C.1
|