{"id":133,"date":"2020-12-15T15:39:07","date_gmt":"2020-12-15T21:39:07","guid":{"rendered":"https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/?page_id=133"},"modified":"2025-07-16T13:26:01","modified_gmt":"2025-07-16T19:26:01","slug":"2-2","status":"publish","type":"page","link":"https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/2-2\/","title":{"rendered":"PUBLICATIONS, LECTURES AND LINKS"},"content":{"rendered":"\n<p class=\"has-text-color has-large-font-size wp-block-paragraph\" style=\"color:#097446\"><strong>Polytopes<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">1. <em>Ordinary 3-polytopes,<\/em> Geometriae Dedicata, 52(1994), 129-142.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">2. <em>On a class of generalized simplices,<\/em> Mathematika, 43(1996), 274-285.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">3. <em>Ordinary (2m + 1) -polytopes<\/em>, Israel J. of Mathematics, 102(1997), 101-123.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">4. with G. Karolyi, <em>Subpolytopes of cyclic polytopes,<\/em> Eur. J. Comb., 21(2000), 13-17.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">5. with K. Boroczky jr., <em>Oriented matroid rigidity of multiplices <\/em>, Discrete Comput. Geom., 24(2000), 177-184.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">6. <em>On sewing neighbourly polytopes, <\/em>Note di Matematica, 20(2000\/2001), 73-80.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">7. <em>A construction for periodically-cyclic Gale 2m-polytopes<\/em>, Beitraege zur Alg. und Geom., 42(2001), 89-101.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">8. <em>A class of periodically-cyclic 6-polytopes, <\/em>U. of Calgary, Dept. of Math and Stat. Research Paper # 814, (2001). 23pp.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">9. with K. Boroczky, jr., <em>On periodically-cyclic Gale 4-polytopes<\/em>, Discr. Math., 241(2001), 103-118.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">10. <em>A class of four dimensional Gale polytopes, <\/em>U. of Calgary, Dept. of Math. and Stat. Research Paper #821, (2001), 14pp.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">11. <em>Separation in neighbourly 4-polytopes, &nbsp;<\/em>Stud. Sci, Math. Hung. , 39 (2002), 277-289.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">12. with D. Oliveros, <em>Separation in totally-sewn 4-polytopes,<\/em> Discrete Mathematics.,253(2003), 59-68.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">13. with K. Boroczky jr. and D. S. Gunderson, <em>Cyclic polytopes, hyperplanes and Gray codes, <\/em>\u00a0J. of Geometry, 78 (2003), 25-49.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">14. with K. Bezdek and K. Boroczky, <em>Edge-antipodal 3-polytopes,<\/em> Combinatorial and Computational Geomety, MSRI Publ. 52, (2005) 129-134.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">15. with K Boroczky, <em>On antipodal 3-polytopes,&nbsp;<\/em>Rom. J. Pure Appl. Math., 50 (2005),477-481.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">16. <em>Characterizations of cyclic polytopes,<\/em>&nbsp; J. of Geometry&nbsp; , 84 (2005),30-36 .<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">17. with &nbsp;M. Bayer, <em>On Gale and braxial polytopes , <\/em>Arch. Math., 89 (2007) ,373-384.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">18. with M. Bayer, <em>On braxtopes , a class of generalized simplices,<\/em> Beitraege zur Alg. und Geom., 49 (2008), 137-145.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">19. with K. Boroczky, <em>On edge-antipodal d-polytopes,<\/em> Per. Math. Hungarica, 57 (2008),13-23.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">20. with K. Boroczky, F. Fodor, A. Heppes and D. Oliveros, <em>Centred subpolytopes of the 4-cube, U. of Calgary<\/em>, Dept. of Math. and Stat. Research Paper #862 (2010), 13pp.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">21. with F. Fodor and D. Oliveros, <em>Separation in totally-sewn 4-polytopes with the decreasing universal edge property<\/em>,Beitraege Math. und Alg., 53 (2012), 123-138.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">22. with J. Lawrence, <em>Combinatorial types of Bi-cyclic 4-polytopes, <\/em>Discrete Mathematics, 312 (2012), 1863-1876.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">23. <em>Separation in Convex Polytopes<\/em>, CMS Notes, 45(1), February 2013 ,14.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">24. with F. Fodor,<em> A separation theorem for totally-sewn 4-polytopes, <\/em>Studia Math. Hungarica<em>, 52(3),(2015),386-422.<\/em><\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#158127\">25. <em>Separation in Simply Linked Neighbourly 4-polytopes<\/em>. arXiv:1703.03803v1(2017),19 pp.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-medium-font-size wp-elements-514c41021c16bc16eac6db774e4eeabe wp-block-paragraph\" style=\"color:#548272\">26. with D. Oliveros, <em>d-dimensional self-dual polytopes and Meissner polytopes, <\/em>AMS Contemporary Mathematics:<em>Polytopes and Discrete Geometry<\/em>, Vol. 764 (2021),21-30, https:\/\/doi.org\/10.1090\/conm\/764\/15357 .<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#077c51\">27. with G. Lopez-Campos and D. Oliveros, <em>Configured polytopes and extremal configurations<\/em>, Ars Math. Contemp.&nbsp;(2022), https:\/\/doi.org\/10.26493\/1855-3974.2559.e4f.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-medium-font-size wp-elements-c26da528e339f95eebf76ed145766a41 wp-block-paragraph\" style=\"color:#3b8369\">28. A combinatorial construction of bi-cyclic 4-polytopes. Studia Math. Hungarica, 61(1),(2024), 73-87.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-medium-font-size wp-elements-9a9612cfe8119f1fbe4e33e7443a17cf wp-block-paragraph\" style=\"color:#3b8369\">29. Generalizations of cyclic polytopes. arXiv:2405.094299v2(2024),10 pp.<\/p>\n\n\n\n<p class=\"has-text-color has-large-font-size wp-block-paragraph\" style=\"color:#2606e5\"><strong>Discrete and Combinatorial Geometry<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">1. with G. Fejes Toth, <em>A generalization of the Erdos-Szekeres convex n &#8211; gon theorem,<\/em> J. reine angew. Math., 395 (1989), 167-170.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">2. with C. Fejes Toth, <em>Nine convex sets determine a pentagon with convex sets as vertices,<\/em> Geometriae Dedicata, 31 (1989), 89-104.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">3. with G. Fejes Toth, <em>Convexly independent sets,<\/em> Combinatorics, 10 (1990), 195-202.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">4. with K. Boroczky, jr, H. Harborth and L. Piepmeyer, <em>On the smallest limited snake of unit disks,<\/em> Geometria Dedicata, 40 (1991), 319-324.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">5. with A. Bezdek and K. Bezdek, <em>On the (n &#8211; 2)-transversals of n convex subsets of the plane, <\/em>Geometriae Dedicata, 40 (1991), 263-268.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">6. with A. Bezdek and K. Bezdek, <em>On illumination in the plane by line segments,<\/em> Geometriae Dedicata, 41(1992), 39-50.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">7. with K. Bezdek, <em>Hadwiger&#8217;s covering conjecture and low dimensional dual cyclic poly-topes,<\/em> Geometriae Dedicata, 46(1993, 279-286.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">8. with V. Soltan, <em>Some Erdos-Szekeres type results about points in space, Monatshaft fur Mathematik,<\/em> 118(1994), 33-40.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">9. with H. Harborth, <em>On empty convex polytopes,<\/em> J. of Geometry, 52(1995), 25-29.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">10. with K. Bezdek, <em>A proof of Hadwiger&#8217;s Conjecture for dual cyclic polytopes,<\/em> Geometriae Dedicata, 68(1997), 29-41.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">11. with H. Harborth, <em>Smallest limited edge-to-edge snakes in Euclidean Tessalations,<\/em>Congressus Numeratium, 149(2001), 155-159.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">12. with G. Fejes Toth, <em>The Erdos-Szekeres problem for planar points in arbitrary position, <\/em>&nbsp;Discrete Math., 253 (2003), 49-58.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">13. <em>A signature theorem for uniform matroids,<\/em> U. of Calgary, Dept. of Math. and Stat. Research Paper #840 (2004), 10pp.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">14. with K. Hosono, Gy. Karolyi and M. Urabe, <em>Constructions from empty polygons,<\/em> Per. Math. Hungarica., 49 (2004), 1-8.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#0608e5\">15. with. F. Fodor and D. Oliveros, <em>Large transversals to families of unit disks,<\/em> Acta. Math. Hungarica., 106(2005), 285-291.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">16. with F. Fodor and D. Oliveros, <em>A transversal property of families of eight or nine unit disks,<\/em> Bol. Soc. Math. Mex., 12 (2006),59-73.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">17. with K. Bezdek, B. Csikos and A. Heppes, <em>On the transversal Helly numbers of disjoint and overlapping disks,<\/em> Arch. Math.,87 (2006), 86-96.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">18. with A. Bezdek, <em>Incenter iterations in the Plane and on the Sphere,<\/em> Proc. Int. Conf.( Comm: Algebra and Combinatorics), 4 (2007),1-6.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">19. with F. Fodor and D. Oliveros, <em>The T(4) property of families of unit disks, <\/em>Israel J. Math.,168(2008), 239-252.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">20. with K. Boroczky and A. Heppes, T(5) Families of overlapping disks, Acta Math Hungarica, 142(1), (2014), 31-55.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">21. with A. Bezdek, <em>Finding equal-diameter triangulations in polygons,<\/em> Beitraege Math. und Alg. (2014), online DOI:10.1007\/s13366-014-0206-6.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2606e5\">22. with K. Boroczky and K.J. Boroczky, <em>The T(5) property of packing of squares, <\/em>The Art of Discrete and Applied Mathematics,Vol.4,No.3,(2021),https:\/\/doi.org\/10.26493\/2590-9770.1336.1e0.<\/p>\n\n\n\n<div class=\"inherit-container-width wp-block-group is-layout-constrained wp-block-group-is-layout-constrained\"><div class=\"wp-block-group__inner-container\">\n<p class=\"has-vivid-purple-color has-text-color has-large-font-size wp-block-paragraph\"><strong><em>Order and Convex Geometry<\/em><\/strong><\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">1.  <em>Hypersurfaces of Order Two,<\/em> A.M.S. Trans., 220 (1976), 205-233.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">2.<em> Surfaces of Order Three with a Peak I,<\/em> J. of Geometry, 11\/1(1978), 55-83.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">3. <em>Surfaces of Order Three with a Peak II,<\/em> J. of Geometry, 11\/2(1978), 110-138.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">4. <em>Biplanar Surfaces of Order Three<\/em>, Canad. J. of Math., 31 (1979), 396-418.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">5. <em>Uniplanar Surfaces of Order Three,<\/em> Geometriae Dedicata, 8 (1979), 259-277.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">6. <em>On Surfaces of Order Three,<\/em> Canad. Math. Bull., 22\/3(1979), 351-355.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">7. <em>On the Lines of a Surface of Order Three,<\/em> Math. Ann., 243 (1979), 191-195.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">8. <em>Biplanar Surfaces of Order Three, II,<\/em> Canad. J. of Math., 32 (1980), 839-866.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">9. with I. Rival, <em>Continuous, Slope-preserving Maps of simple Closed Curves,<\/em> Canad. J. of Math., 32 (1980), 1102-1113.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">10. <em>C-nodal Surfaces of Order Three<\/em> Canad. J. of Math., 25 (1983), 68-100.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">11. <em>On the singularities of almost-simple plane curves,<\/em> Pac. J. Math., 109 (1983), 257-273.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">12. with P. Scherk, <em>An application of a theorem by Hjelmslev,<\/em> C.R. Math. Rep. Acad. Sci. Canada, 5 (1983), 195-199.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">13. <em>Inflectional convex space curves,<\/em> Can. J. of Math. 36 (1984), 537-549.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">14. with P. Scherk, <em>A property of arcs of order n in R,<\/em> C.R. Math. Rep. Acad. Sci. Canada, 6 (1984), 165-170.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\"><em>15. On the singularities of simple plane curves,<\/em> Michigan Math. J., 32 (1985), 141-151.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">16. with P. Scherk, <em>Ordinary arcs on convex bodies,<\/em> C.R. Math. Rep. Acad. Sci. Canada, 7 (1985), 27-32.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">17. <em>An n-vertex theorem for convex space curves,<\/em> Canad. J. Math., 37 (1985), 217-237.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">18. with P. Scherk, <em>A geometric characterization of arcs of order n in R,<\/em> C.R. Math. Rep. Acad. Sci. Canada, 7 (1985), 303-308.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">19. with J. Schaer, <em>On convex space curves,<\/em> C.R. Math. Rep. Acad. Sci. Canada, 7 (1985), 369-374.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">20. <em>On the singularities of plane curves<\/em>, Canad. J. of Math., 38 (1986), 947-968.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">21. <em>On the four-vertex theorem for space curves,<\/em> J. of Geometry, 27 (1986), 166-174.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">22. <em>On inflectional space curves with four vertices,<\/em> C.R. Math. Rep. Acad. Sci. Canada 8 (1986), 225-230.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">23. <em>On inflectional space curves with four vertices II,<\/em> C.R. Math. Rep. Acad. Sci. Canada 8 (1986), 277-282.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">24. with J. Schaer, <em>Linearly related plane convex sets,<\/em> Intuitive Geometry, Pap. mt. Conf. Si6fok, Hungary, 1985, Colloq. Math. Soc. Janos Bolyai, 48 (1987), 167-177.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">25. with J. Schaer, <em>Affinely embeddable convex sets,<\/em> Acta. Math. Hung, 49 (1987), 353- 363.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\"><em>26. Some examples in projective convexity,<\/em> C.R. Math. Rep. Acad. Sci. Canada, 9 (1987), 199-204.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">27. with J. Pach, <em>An upper bound for families of linearly related plane convex sets<\/em>, Arch. Math., 50 (1988), 56-58.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">28. <em>Affinely embeddable convex bodies,<\/em> Geometriae Dedicata, 26 (1988), 99-109.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">29. <em>Convex sets and plane curve singularities,<\/em> J. of Geometry, 34 (1989), 14-29.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">30. <em>On separated families of convex bodies,<\/em> Arch. der Math., 54 (1990), 193-199.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">31. with K. Bezdek and R. Connelly, <em>On hyperplanes and polytopes,<\/em> Monatshefte fur Math., 109 (1990), 39-48.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">32. <em>Affinely embeddable separated families,<\/em> Arch. der Math., 55 (1990), 400-406.<\/p>\n\n\n\n<p class=\"has-vivid-purple-color has-text-color has-medium-font-size wp-block-paragraph\">33. with K. Boroczky, jr., <em>About the centroid body and the ellipsoid of inertia,<\/em> Mathematika,48 (2001), 1-14.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-align-left has-vivid-red-color has-text-color has-large-font-size wp-block-paragraph\"><em> <strong>Incidence Geometry<\/strong><\/em><\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size wp-block-paragraph\">1. with J.W. Lorimer, <em>Axiom systems for Affine Klingenberg Spaces,<\/em> Proc. mt. Conf. Combinatorics 88, Ravello, Italy (1991), 185-200,<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size wp-block-paragraph\">2. with J.W. Lorimer, <em>On hyperplanes and free subspaces of affine Klingenberg spaces,<\/em> Aequationes Mathematicae, 48(1994), 121-136.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size wp-block-paragraph\">3. with J.W. Lorimer, <em>Subspace operations in affine Klingenberg spaces,<\/em> Bulletin of Belgian Mathematical Society, 2(1995), 99-108.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size wp-block-paragraph\">4. with J.W. Lorimer, <em>Homomorphisms of affine spaces,<\/em> Abh. Math. Sem. Universitat Hamburg, 65(1995), 283-292.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size wp-block-paragraph\">5. with J. W. Lorimer, <em>Translations in Affine Klingenberg Spaces<\/em>, J. of Geometry, 99(2010),15-42 .<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-left has-black-color has-text-color has-large-font-size\">    <em>Books and Journals Edited<\/em> <\/h3>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-left has-black-color has-text-color\" style=\"font-size:22px\">                                          <strong> POLYTOPES: Abstract, Convex and Computational<\/strong><\/h3>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#2c109d\"><br>NATO ASI SERIES C: Mathematical and Physical Sciences, Volume 440, (1994), 507 pp.<br>Kluwer Academic Publishers<br>Editors: T. Bisztriczky, P. McMullen, R. Schneider, A.I. Weiss.<\/p>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color wp-block-paragraph\" style=\"font-size:22px\"><strong>DISCRETE GEOMETRY, <em>Periodica Mathematica Hungarica,<\/em> 53(1-2), 2006<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#08724b\">Guest Editors: &nbsp;T. Bisztriczky, F. Fodor and W. Kuperberg<br><br>&nbsp; &nbsp; This special volume is dedicated to K. Bezdek and consists primarily of articles presented at &nbsp;the following&nbsp; meetings in Calgary and Banff :<br>&nbsp; &nbsp; &nbsp; &nbsp; &#8211; Calgary Workshop in Discrete Geometry, U. of Calgary, May 13-14, &nbsp;2005.<br>&nbsp; &nbsp; &nbsp; &nbsp; &#8211; Densest Packing of Spheres, BIRS, May 14-19, 2005.<br>&nbsp; &nbsp; &nbsp; &nbsp; &#8211; Convex and Abstract Polytopes,BIRS, May 19 &#8211; 21, 2005.<br>&nbsp; &nbsp; &nbsp; &nbsp; &#8211; Polytopes Day in Calgary, U. of Calgary,&nbsp;May 22, 2005.<\/p>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color wp-block-paragraph\" style=\"font-size:22px\"><strong> INTUITIVE GEOMETRY,<em> Periodica Mathematica Hungarica, <\/em>57(2), 2008.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#066297\">Guest Editors: T. Bisztriczky,G. Fejes Toth, F. Fodor and W. Kuperberg<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#066297\">This special volume is dedicated to A. Bezdek and consists primarily of articles presented at the following meetings in Calgary and Banff:<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#066297\">-Intuitive Geometry Workshop, BIRS, Aug.31-Sept.2, 2007.<\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#066297\">-Intuitive Geometry Day in Calgary, U.of Calgary, Sept.3, 2007.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-ast-global-color-8-color has-text-color has-link-color wp-elements-49972eab43d750b84cb46df84cf32ff9\">                                Honours<\/h2>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-1ee2c323dec32d6295e6582e7d6d1eda wp-block-paragraph\"> Geometry Fest, Conference in honour of 60&#8217;th birthday of T. Bisztriczky, Renyi Institute of Mathematics, Budapest, June  2007.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-f7a1c0edce9b1fce5cb158e80c24ef5d wp-block-paragraph\"> Canadian Mathematical Bulletin, 52(3), Issue dedicated to T. Bisztriczky, September 2009. <\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-cd5b10cf8335c14761a504c56f78fb87 wp-block-paragraph\">  Discrete Geometry Fest, Conference in honour of T. Bisztriczky, G. Fejes Toth and E. Makai, Renyi Institute of Mathematics, Budapest, June  2017.<\/p>\n\n\n\n<p class=\"has-black-color has-text-color wp-block-paragraph\" style=\"font-size:22px\">                                             <strong>     Coming Attractions<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#04364c\">1. with G. Fejes Toth, <em>An Erdos-Szekeres theorem for planar convex sets.<\/em><\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#048354\">2. A second combinatorial construction of bi-cyclic 4-polytopes.<\/p>\n\n\n\n<p class=\"has-text-align-left wp-block-paragraph\" style=\"font-size:22px\">                                                    <strong>Lecture Videos<\/strong><\/p>\n\n\n\n<p class=\"has-text-color wp-block-paragraph\" style=\"color:#063d5d;font-size:25px\"><em>Erdos-Szekeres type theorems for planar convex sets.<\/em><\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#00608a\">Retrospective Workshop on Discrete Geometry, Optimization and Symmetry, November 25-29, 2013.<\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><a href=\"http:\/\/www.fields.utoronto.ca\/video-archive\/2013\/11\/238-2607\">http:\/\/www.fields.utoronto.ca\/video-archive\/2013\/11\/238-2607<\/a><\/p>\n\n\n\n<p class=\"has-text-color wp-block-paragraph\" style=\"color:#02587c;font-size:25px\"><em>Transversal problems for phi-disjoint ovals.<\/em><\/p>\n\n\n\n<p class=\"has-text-color has-medium-font-size wp-block-paragraph\" style=\"color:#03618a\">Transversal, Helly and Tverberg type Theorems in Geometry, Combinatorics and Topology III , October 23-27,2016.<\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><a href=\"https:\/\/open.library.ubc.ca\/cIRcle\/collections\/48630\/items\/1.0348140\">https:\/\/open.library.ubc.ca\/cIRcle\/collections\/48630\/items\/1.0348140<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-size:21px\">                                                      <strong>Links<\/strong> <strong>( Publication Content)<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\" \/>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><a href=\"https:\/\/www.researchgate.net\/profile\/T_Bisztriczky\/publications\">https:\/\/www.researchgate.net\/profile\/T_Bisztriczky\/publications<\/a><\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><a href=\"http:\/\/www.ams.org\/mathscinet\/MRAuthorID\/37375\">http:\/\/www.ams.org\/mathscinet\/MRAuthorID\/37375<\/a><\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized is-style-default\"><img decoding=\"async\" width=\"512\" height=\"512\" data-src=\"https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-content\/uploads\/sites\/102\/2019\/06\/cropped-ucalgary-logo.png\" alt=\"\" class=\"wp-image-47 lazyload\" style=\"--smush-placeholder-width: 512px; --smush-placeholder-aspect-ratio: 512\/512;width:256px;height:256px\" data-srcset=\"https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-content\/uploads\/sites\/102\/2019\/06\/cropped-ucalgary-logo.png 512w, https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-content\/uploads\/sites\/102\/2019\/06\/cropped-ucalgary-logo-150x150.png 150w, https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-content\/uploads\/sites\/102\/2019\/06\/cropped-ucalgary-logo-300x300.png 300w, https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-content\/uploads\/sites\/102\/2019\/06\/cropped-ucalgary-logo-270x270.png 270w, https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-content\/uploads\/sites\/102\/2019\/06\/cropped-ucalgary-logo-192x192.png 192w, https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-content\/uploads\/sites\/102\/2019\/06\/cropped-ucalgary-logo-180x180.png 180w, https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-content\/uploads\/sites\/102\/2019\/06\/cropped-ucalgary-logo-32x32.png 32w\" data-sizes=\"(max-width: 512px) 100vw, 512px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>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 [&hellip;]<\/p>\n","protected":false},"author":200,"featured_media":0,"parent":0,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"no-sidebar","site-content-layout":"plain-container","ast-site-content-layout":"normal-width-container","site-content-style":"unboxed","site-sidebar-style":"unboxed","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-133","page","type-page","status-publish","hentry"],"featured_image_src":null,"featured_image_src_square":null,"_links":{"self":[{"href":"https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-json\/wp\/v2\/pages\/133","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-json\/wp\/v2\/users\/200"}],"replies":[{"embeddable":true,"href":"https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-json\/wp\/v2\/comments?post=133"}],"version-history":[{"count":27,"href":"https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-json\/wp\/v2\/pages\/133\/revisions"}],"predecessor-version":[{"id":247,"href":"https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-json\/wp\/v2\/pages\/133\/revisions\/247"}],"wp:attachment":[{"href":"https:\/\/wpsites.ucalgary.ca\/tibor-bisztriczky\/wp-json\/wp\/v2\/media?parent=133"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}