**Polytopes**

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

20. 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.

21. 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.

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

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

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

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

26. with D. Oliveros, *d-dimensional self-dual polytopes and Meissner polytopes, *AMS Contemporary Mathematics:*Polytopes and Discrete Geometry*, Vol. 764 (2021),21-30, https://doi.org/10.1090/conm/764/15357 .

27. with G. Lopez-Campos and D. Oliveros, *Configured polytopes and extremal configurations*, Ars Math. Contemp. (2022), https://doi.org/10.26493/1855-3974.2559.e4f.

**Discrete and Combinatorial Geometry**

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

16. 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.

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

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

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

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

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

22. with K. Boroczky and K.J. Boroczky, *The T(5) property of packing of squares, *The Art of Discrete and Applied Mathematics,Vol.4,No.3,(2021),https://doi.org/10.26493/2590-9770.1336.1e0.

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

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

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

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

* Incidence Geometry*

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

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

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

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

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

### *Books and Journals Edited*

### ** 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. A combinatorial construction of Bi-cyclic 4-polytopes.

**Lecture Videos**

*Erdos-Szekeres type theorems for planar convex sets.*

Retrospective Workshop on Discrete Geometry, Optimization and Symmetry, November 25-29, 2013.

http://www.fields.utoronto.ca/video-archive/2013/11/238-2607

*Transversal problems for phi-disjoint ovals.*

Transversal, Helly and Tverberg type Theorems in Geometry, Combinatorics and Topology III , October 23-27,2016.

https://open.library.ubc.ca/cIRcle/collections/48630/items/1.0348140

**Links** **( Publication Content)**

https://www.researchgate.net/profile/T_Bisztriczky/publications