SUBJECT INDEX: Order Geometry, Convex Geometry, Incidence
Geometry, Polytopes, Discrete and Combinatorial Geometry

1.
*Hypersurfaces
of Order Two,* A.M.S. Trans., 220
(1976), 205-233.

2. *Surfaces of Order Three with a Peak I,* J. of Geometry, 11/1(1978), 55-83.

3. *Surfaces of Order Three with a Peak II,* J. of Geometry, 11/2(1978), 110-138.

4. *Biplanar** Surfaces of Order Three*, Canad. J. of
Math., 31 (1979), 396-418.

5. *Uniplanar Surfaces of Order Three,* Geometriae Dedicata, 8 (1979), 259-277.

6. *On Surfaces of Order Three,* Canad. Math.
Bull., 22/3(1979), 351-355.

7. *On the Lines of a Surface of Order
Three,* Math. Ann., 243
(1979), 191-195.

8. *Biplanar** Surfaces of Order Three, II,* Canad. J. of
Math., 32 (1980), 839-866.

9. with I. Rival, *Continuous,
Slope-preserving Maps of simple Closed Curves,* Canad.
J. of Math., 32 (1980), 1102-1113.

10. *C-nodal Surfaces of Order Three* Canad. J. of
Math., 25 (1983), 68-100.

11. *On the singularities of almost-simple
plane curves,* Pac. J. Math., 109
(1983), 257-273.

12. with P. Scherk, *An
application of a theorem by Hjelmslev,* C.R. Math.
Rep. Acad. Sci. Canada, 5 (1983), 195-199.

13. *Inflectional convex space curves,* Can. J. of Math. 36 (1984), 537-549.

14. with P. Scherk, *A
property of arcs of order n in R,* C.R. Math. Rep. Acad. Sci. Canada, 6
(1984), 165-170.

15. *On the singularities of simple plane
curves,* Michigan Math. J., 32
(1985), 141-151.

16. with P. Scherk, *Ordinary
arcs on convex bodies,* C.R. Math. Rep. Acad. Sci. Canada, 7 (1985), 27-32.

17. *An n-vertex theorem for convex space
curves,* Canad.
J. Math., 37 (1985), 217-237.

18. with P. Scherk, *A
geometric characterization of arcs of order n in R,* C.R. Math. Rep. Acad.
Sci. Canada, 7 (1985), 303-308.

19. with J. Schaer, *On
convex space curves,* C.R. Math. Rep. Acad. Sci. Canada, 7 (1985), 369-374.

20. *On the singularities of plane curves*, Canad. J. of
Math., 38 (1986), 947-968.

21. *On the four-vertex theorem for space
curves,* J. of Geometry, 27
(1986), 166-174.

22. *On inflectional space curves with four
vertices,* C.R. Math. Rep. Acad.
Sci. Canada 8 (1986), 225-230.

23. *On inflectional space curves with four
vertices II,* C.R. Math. Rep. Acad.
Sci. Canada 8 (1986), 277-282.

24. with J. Schaer, *Linearly
related plane convex sets,* Intuitive Geometry, Pap. mt. Conf. Si6fok, Hungary, 1985, Colloq. Math. Soc.
Janos Bolyai, 48 (1987), 167-177.

25. with J. Schaer, *Affinely** embeddable convex sets,* Acta. Math. Hung, 49 (1987), 353- 363.

26. *Some examples in projective convexity,* C.R. Math. Rep. Acad. Sci. Canada, 9
(1987), 199-204.

27. with J. Pach, *An
upper bound for families of linearly related plane convex sets*, Arch.
Math., 50 (1988), 56-58.

28. *Affinely** embeddable convex bodies,* Geometriae Dedicata, 26 (1988), 99-109.

29. *Convex sets and plane curve singularities,* J. of Geometry, 34 (1989), 14-29.

30. with G. Fejes Toth, *A generalization of
the Erdos-Szekeres convex n - gon
theorem,* J. reine angew.
Math., 395 (1989), 167-170.

31. with C. Fejes Toth, *Nine convex sets
determine a pentagon with convex sets as vertices,* Geometriae
Dedicata, 31 (1989), 89-104.

32. *On separated families of convex bodies,* Arch. der Math., 54 (1990), 193-199.

33. with K. Bezdek and R. Connelly, *On
hyperplanes and polytopes,* Monatshefte fur Math.,
109 (1990), 39-48.

34. *Affinely** embeddable separated families,* Arch. der Math., 55 (1990), 400-406.

35. with G. Fejes Toth, *Convexly independent
sets,* Combinatorics, 10 (1990), 195-202.

36. with J.W. Lorimer, *Axiom systems for
Affine Klingenberg Spaces,* Proc. mt. Conf. Combinatorics 88, Ravello, Italy (1991), 185-200.

37. with K. Boroczky,
jr, H. Harborth and L. Piepmeyer,
*On the smallest limited snake of unit disks,* Geometria
Dedicata, 40 (1991), 319-324.

38. with A. Bezdek and K. Bezdek, *On the (n -
2)-transversals of n convex subsets of the plane, *Geometriae
Dedicata, 40 (1991), 263-268.

39. with A. Bezdek and K. Bezdek, *On
illumination in the plane by line segments,* Geome-triae
Dedicata, 41(1992), 39-50.

40. with K. Bezdek, *Hadwiger's**
covering conjecture and low dimensional dual cyclic poly-topes,* Geometriae Dedicata, 46(1993,
279-286.

41. with V. Soltan, *Some
Erdos-Szekeres type results about points in space, Monatshaft fur Mathematik,*
118(1994), 33-40.

42. *Ordinary 3-polytopes,* Geometriae Dedicata, 52(1994), 129-142.

43. with J.W. Lorimer, *On hyperplanes and free
subspaces of affine Klingenberg spaces,* Aequationes Mathematicae,
48(1994), 121-136.

44. with J.W. Lorimer, *Subspace operations in
affine Klingenberg spaces,* Bulletin of Belgian
Mathematical Society, 2(1995), 99-108

45. with H. Harborth, *On empty convex
polytopes,* J. of Geometry, 52(1995), 25-29.

46. with J.W. Lorimer, *Homomorphisms**
of affine spaces,* Abh. Math. Sem. Universitat Hamburg, 65(1995), 283-292.

47. *On a class of generalized simplices,* Mathematika, 43(1996), 274-285.

48. with K. Bezdek, *A proof of Hadwiger's Conjecture for dual cyclic polytopes,* Geometriae Dedicata, 68(1997),
29-41.

49. *Ordinary (2m + 1) -polytopes*, Israel J. of Mathematics, 102(1997),
101-123.

50. with G. Karolyi,
*Subpolytopes** of cyclic polytopes,* Eur.
J. Comb., 21(2000), 13-17

51. with K. Boroczky jr., *Oriented matroid rigidity
of multiplices *, Discrete Comput.
Geom., 24(2000), 177-184

52. *On sewing neighbourly
polytopes, *Note di Matematica, 20(2000/2001), 73-80.

53. *A construction for periodically-cyclic
Gale 2m-polytopes*,
Beitraege zur Alg. und
Geom., 42(2001), 89-101.

54. *A class of periodically-cyclic
6-polytopes, *U. of Calgary, Dept.
of Math and Stat. Research Paper # 814, (2001). 23pp.

55. with K. Boroczky, jr., *On periodically-cyclic Gale 4-polytopes*, Discr. Math., 241(2001), 103-118.

56. *A class of four dimensional Gale polytopes,
*U. of Calgary, Dept.
of Math. and Stat. Research Paper #821, (2001), 14pp.

57. with H. Harborth, *Smallest limited
edge-to-edge snakes in Euclidean Tessalations,Congressus* Numeratium,
149(2001), 155-159.

58. with K. Boroczky, jr., *About the centroid body and the ellipsoid of
inertia,* Mathematika,48 (2001), 1-14.

59. *Separation in neighbourly
4-polytopes, Stud*. Sci, Math.
Hung. , 39 (2002), 277-289.

60. with G. Fejes Toth, *The Erdos-Szekeres
problem for planar points in arbitrary position, * Discrete Math., 253 (2003),
49-58.

61. with D. Oliveros, *Separation in
totally-sewn 4-polytopes,* Discrete Mathematics.,253(2003), 59-68.

62. with K. Boroczky jr. and D. S. Gunderson, *Cyclic polytopes, hyperplanes
and Gray codes, * J. of Geometry, 76 (2003), 25-49.

63. *A signature theorem for uniform matroids,*
U. of Calgary, Dept. of Math. and Stat. Research Paper
#840 (2004), 10pp.

64. with K. Hosono, Gy. Karolyi and M. Urabe, *Constructions from empty
polygons,* Per. Math. Hungarica., 49 (2004), 1-8.

65. with K. Bezdek and K. Boroczky, *Edge-antipodal
3-polytopes,* Combinatorial and Computational Geomety,
MSRI Publ. 52, (2005) 129-134.

66. with F. Fodor and D. Oliveros, * Large
transversals to families of unit disks,* Acta.
Math. Hungarica., 106(2005), 285-291.

67. with K Boroczky, *On antipodal
3-polytopes, *Rom. J. Pure Appl. Math., 50 (2005),477-481.

68. *Characterizations of cyclic polytopes,* J. of Geometry , 84 (2005),30-36 .

69. with F. Fodor and D. Oliveros, *A
transversal property of families of eight or nine unit disks,* Bol. Soc.
Math. Mex., 12 (2006),59-73.

70. with K. Bezdek, B. Csikos
and A. Heppes, *On the transversal Helly numbers of
disjoint and overlapping disks,* Arch. Math.,87 (2006), 86-96.

71. with M. Bayer, *On Gale and braxial polytopes , *Arch. Math., 89 (2007) ,373-384.

72. with A. Bezdek, *Incenter**
iterations in the Plane and on the Sphere,* Proc. Int. Conf.( Comm: Algebra and Combinatorics),
4 (2007),1-6.

73. with M. Bayer, *On braxtopes
, a class of generalized simplices,* Beitraege zur Alg. und Geom., 49
(2008), 137-145.

74. with F. Fodor and D. Oliveros, *The T(4) property
of families of unit disks, *Israel J. Math.,168(2008), 239-252.

75. With K. Boroczky,
*On** edge-antipodal d-polytopes,* Per. Math. Hungarica, 57 (2008),13-23.

76. with K. Boroczky, F. Fodor, A. Heppes and D.
Oliveros, *Centred** subpolytopes of
the 4-cube, U. of Calgary*, Dept. of Math. and
Stat. Research Paper #862 (2010), 13pp.

77. with J. W. Lorimer, *Translations in Affine Klingenberg Spaces*,
J. of Geometry, 99(2010),15-42 .

78. with F. Fodor and D. Oliveros, *Separation in totally-sewn 4-polytopes with the
decreasing universal edge property,Beitraege* Math. und Alg., 53 (2012), 123-138.

79. with J. Lawrence, *Combinatorial types of Bicyclic 4-polytopes, *Discrete Mathematics,
312 (2012), 1863-1876.

80. *Separation
in Convex Polytopes*,
CMS Notes, 45(1), February 2013 ,14.

81. with K. Boroczky
and A. Heppes, T(5) Families of overlapping disks, Acta
Math Hungarica, 142(1), (2014), 31-55.

82. with A. Bezdek, *Finding equal-diameter triangulations in polygons,* Beitraege Math. und Alg. (2014),
online DOI:10.1007/s13366-014-0206-6.

83. with F. Fodor,* A separation theorem for totally-sewn 4-polytopes, *Studia Math. Hungarica*, 52(3),(2015),386-422.*

84. *Separation in Simply Linked Neighbourly 4-polytopes*. arXiv:1703.03803v1(2017),19 pp.

85. with D. Oliveros, *d-dimensional self-dual polytopes and Meissner polytopes, *AMS
Contemporary Mathematics:*Polytopes** and Discrete Geometry*, to appear.

86. with K. Boroczky
and K.J. Boroczky, *The T(5) property of packing of squares, *The Art of Discrete and
Applied Mathematics, to appear.

SUBJECT
INDEX: Order Geometry, Convex Geometry, Incidence
Geometry, Polytopes, Discrete and Combinatorial Geometry

▪POLYTOPES: Abstract, Convex and
Computational

NATO ASI SERIES C: Mathematical and Physical Sciences, Volume 440, (1994), 507
pp.

Kluwer Academic Publishers

Editors: T. Bisztriczky, P. McMullen, R. Schneider, A.I.
Weiss.

▪DISCRETE GEOMETRY, *Periodica** Mathematica Hungarica,*
53(1-2), 2006

Guest Editors: T. Bisztriczky,
F. Fodor and W. Kuperberg

This special volume is dedicated to K. Bezdek and consists
primarily of articles presented at the following meetings in
Calgary and Banff :

- Calgary Workshop in Discrete Geometry, U. of
Calgary, May 13-14, 2005.

- Densest Packing of Spheres, BIRS, May 14-19,
2005.

- Convex and Abstract Polytopes,BIRS, May 19 - 21, 2005.

- Polytopes Day in Calgary, U. of Calgary, May
22, 2005.

**▪**INTUITIVE GEOMETRY,*
Periodica Mathematica Hungarica,
*57(2), 2008.

Guest Editors: T. Bisztriczky,G. Fejes Toth, F.
Fodor and W. Kuperberg

This special volume is dedicated to
A. Bezdek and consists primarily of articles presented at the following
meetings in Calgary and Banff:

-Intuitive Geometry Workshop, BIRS, Aug.31-Sept.2, 2007.

-Intuitive Geometry Day in Calgary, U.of
Calgary, Sept.3, 2007.

*Coming Attractions*

*1.
*with G. Fejes Toth, *An Erdos-Szekeres theorem for planar convex sets.*

2. with D. Oliveros and G. Lopez-Campos, *Diameters
and self-dual polytopes.*

Last
updated on 2 September, 2019.