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» Ted Bisztriczky
Ted Bisztriczky
Professor
Pure Mathematics
+1 (403) 220-6312
MS 422
tbisztri@ucalgary.ca
tbisztri@math.ucalgary.ca
http://www.math.ucalgary.ca/~tbisztri
http://ccdg.math.ucalgary.ca/
Research Interests
Computational Discrete Geometry:
Discrete Geometry
Hyperplane Separations
Snakes
Transversals
Erdos-Szekeres Type Problems
General:
Development of convex d-polytopes whose facial structure is determined by a total ordering of vertices
Currently Teaching
F2012 - MATH 273 - Honours Mathematics: Numbers and Proofs
Details
LEC 1
MWF 11:00 - 11:50
MS 427
F2012 - PMAT 423 - Differential Geometry
Details
LEC 1
TR 16:00 - 17:15
MS 365
W2013 - MATH 205 - Mathematical Explorations
Details
LEC 1
MWF 11:00 - 11:50
ST 141
view past courses
Publications
Book
Bisztriczky, Ted
and T{\'o}th, G
.
The {E}rd{\H o}s-{S}zekeres problem for planar points in arbitrary position
253. Dekker, 2003. 49-58.
Bisztriczky, Ted
.
Separation in totally-sewn 4-polytopes
253. Dekker, 2003. 59-68.
Bisztriczky, Ted
and Lorimer, J. W.
.
Axiom systems for affine {K}lingenberg spaces
, Mediterranean, 1991. 185-200.
Bisztriczky, Ted
and
Schaer, Jonathan
.
Linearly related plane convex sets
48. North-Holland, 1987. 53-61.
Forthcoming
Bisztriczky, Ted
and Lorimer, J.W.
.
Translations in Affine Klingenberg Spaces
2010.
Bisztriczky, Ted
and Oliveros-Braniff, Deborah
.
Separation in totally-sewn 4-polytopes with the decreasing universal edge property
2010.
Bisztriczky, Ted
and Lawrence, J.
.
Combinatorial types of Bicyclic 4-polytopes
2010.
Bisztriczky, Ted
, Boroczky, Karoly and Heppes, A.
.
The T(5) property of families of overlapping unit disks
2010.
Journal Paper
Bisztriczky, Ted
.
The T(4) property of families of unit disks.
168. 2008. 239-252.
Bisztriczky, Ted
and Bayer, M.
.
On braxtopes, a class of generalized simplices
49. 2008. 137-145.
Bisztriczky, Ted
and Boroczky, K.
.
On edge-antipodal d-polytopes
57. 2008. 13-23.
Bisztriczky, Ted
and Bayer, M.
.
On Gale and braxial polytopes
89. 2007. 373-384.
Bisztriczky, Ted
and Bezdek, A.
.
Incenter iterations in the Plane and on the Sphere
4. 2007. 1-6.
Bezdek, Karoly
,
Bisztriczky, Ted
, Csikos, Balazs and Heppes, Aladar
.
On the transversal Helly numbers of disjoint and overlapping disks
87.1 2006. 86-96.
Bisztriczky, Ted
and Oliveros-Braniff, Deborah
.
A transversal property of families of eight or nine unit disks
12. 2006. 59-73.
Bezdek, Karoly
,
Bisztriczky, Ted
and Boroczky, Karoly
.
Edge-antipodal 3-polytopes
52. 2005. 129-134.
Bisztriczky, Ted
.
Characterizations of cyclic polytopes
84. 2005. 30-36.
Boroczky, Karoly and
Bisztriczky, Ted
.
On antipodal 3-polytopes.
50. 2005. 477-481.
Bisztriczky, Ted
, K. Hosono, Gy. Karolyi and M. Urabe
.
Constructions from empty polygons
2004. 1-8.
Bisztriczky, Ted
.
A transversal property of families of eight or nine unit disks
2006 .12 2004. 59-73.
Bisztriczky, Ted
.
Large transversals to small families of unit disks
106 2004. 285-291.
Bisztriczky, Ted
, B{\"o}r{\"o}czky, Jr. and
Gunderson, David
.
Cyclic polytopes, hyperplanes, and {G}ray codes
78.1-2 2003. 25-49.
Bisztriczky, Ted
.
Separation in neighbourly 4-polytopes
39.3-4 2002. 277-289.
Bisztriczky, Ted
and B{\"o}r{\"o}czky, Jr.
.
On periodically-cyclic {G}ale 4-polytopes
241.1-3 2001. 103-118.
Bisztriczky, Ted
and B{\"o}r{\"o}czky, Jr.
.
About the centroid body and the ellipsoid of inertia
48.1-2 2001. 1-13 (2003).
Bisztriczky, Ted
.
A construction for periodically-cyclic {G}ale {$2m$}-polytopes
42.1 2001. 89-101.
Bisztriczky, Ted
and Harborth, Heiko
.
Smallest limited edge-to-edge snakes in {E}uclidean tessellations
149. 2001. 155-159.
Bisztriczky, Ted
.
On sewing neighbourly polytopes
20.1 2000/01. 73-80.
Bisztriczky, Ted
and K{\'a}rolyi, Gyula
.
Subpolytopes of cyclic polytopes
21.1 2000. 13-17.
Bisztriczky, Ted
and Boroczky, K.
.
Oriented matroid rigidity of multiplices
24.2-3 2000. 177-184.
Bisztriczky, Ted
.
Ordinary {$(2m+1)$}-polytopes
102. 1997. 101-123.
Bezdek, Karoly
and
Bisztriczky, Ted
.
A proof of {H}adwiger's covering conjecture for dual cyclic polytopes
68.1 1997. 29-41.
Bisztriczky, Ted
.
On a class of generalized simplices
43.2 1996. 274-285 (1997).
Bisztriczky, Ted
and Lorimer, J. W.
.
Homomorphisms of affine spaces
65. 1995. 283-292.
Bisztriczky, Ted
and Lorimer, J. W.
.
Subspace operations in affine {K}lingenberg spaces
2.1 1995. 99-108.
Bisztriczky, Ted
and Harborth, Heiko
.
On empty convex polytopes
52.1-2 1995. 25-29.
Bisztriczky, Ted
.
Ordinary {$3$}-polytopes
52.2 1994. 129-142.
Bisztriczky, Ted
and Lorimer, J. W.
.
On hyperplanes and free subspaces of affine {K}lingenberg spaces
48.2-3 1994. 121-136.
Bisztriczky, Ted
and Soltan, V.
.
Some {E}rd{\H o}s-{S}zekeres type results about points in space
118.1-2 1994. 33-40.
Bezdek, Karoly
and
Bisztriczky, Ted
.
Hadwiger's covering conjecture and low-dimensional dual cyclic polytopes
46.3 1993. 279-286.
Bisztriczky, Ted
and Lorimer, J. W.
.
On hyperplanes and free subspaces of affine {K}lingenberg spaces
1992. 69-78.
Bezdek, A. ,
Bezdek, Karoly
and
Bisztriczky, Ted
.
On illumination in the plane by line segments
41.1 1992. 39-50.
Bezdek, A. ,
Bezdek, Karoly
and
Bisztriczky, Ted
.
On the {$(n-2)$}-transversals of {$n$} convex subsets of the plane
40.3 1991. 263-268.
Bisztriczky, Ted
, B{\"o}r{\"o}czky, Jr. , Harborth, Heiko and Piepmeyer, Lothar
.
On the smallest limited snake of unit disks
40.3 1991. 319-324.
Bisztriczky, Ted
.
Affinely embeddable separated families
55.4 1990. 400-406.
Bisztriczky, Ted
.
On separated families of convex bodies
54.2 1990. 193-199.
Bezdek, Karoly
and
Bisztriczky, Ted
.
On hyperplanes and polytopes
109.1 1990. 39-48.
Bisztriczky, Ted
and T{\'o}th, G.
.
Convexly independent sets
10.2 1990. 195-202.
Bisztriczky, Ted
and T{\'o}th, G.
.
Nine convex sets determine a pentagon with convex sets as vertices
31.1 1989. 89-104.
Bisztriczky, Ted
.
Convex sets and plane curve singularities
34.1-2 1989. 14-29.
Bisztriczky, Ted
and T{\'o}th, G.
.
A generalization of the {E}rd{\H o}s-{S}zekeres convex {$n$}-gon theorem
395. 1989. 167-170.
Bisztriczky, Ted
.
Affinely embeddable convex bodies
26.1 1988. 99-109.
Bisztriczky, Ted
and Pach, J
.
An upper bound for families of linearly related plane convex sets
50.1 1988. 56-58.
Bisztriczky, Ted
.
Some examples in projective convexity
9.4 1987. 199-204.
Bisztriczky, Ted
and
Schaer, Jonathan
.
Affinely embeddable convex sets
49.3-4 1987. 353-363.
Bisztriczky, Ted
.
On inflectional space curves with four vertices. {II}
8.4 1986. 277-282.
Bisztriczky, Ted
.
On inflectional space curves with four vertices
8.3 1986. 225-230.
Bisztriczky, Ted
.
On the four-vertex theorem for space curves
27.2 1986. 166-174.
Bisztriczky, Ted
.
On the singularities of plane curves
38.4 1986. 947-968.
Bisztriczky, Ted
and
Schaer, Jonathan
.
On convex space curves
7.6 1985. 369-374.
Bisztriczky, Ted
and Scherk, P.
.
A geometric characterization of arcs of order {$n$} in {${\bf R}\sp n$}
7.5 1985. 303-308.
Bisztriczky, Ted
and Scherk, P.
.
Ordinary arcs on convex bodies
7.1 1985. 27-32.
Bisztriczky, Ted
.
On the singularities of simple plane curves
32.2 1985. 141-151.
Bisztriczky, Ted
.
An {$n$}-vertex theorem for convex space curves
37.2 1985. 217-237.
Bisztriczky, Ted
and Scherk, P.
.
A property of arcs of order {$n$} in {${\bf R}\sb{n}$}
6.3 1984. 165-170.
Bisztriczky, Ted
.
Inflectional convex space curves
36.3 1984. 537-549.
Bisztriczky, Ted
and Scherk, P.
.
An application of a theorem by {H}jelmslev
5.5 1983. 195-199.
Bisztriczky, Ted
.
On the singularities of almost-simple plane curves
109.2 1983. 257-273.
Bisztriczky, Ted
.
{$C$}-nodal surfaces of order three
35.1 1983. 68-100.
Bisztriczky, Ted
and Rival, Ivan
.
Continuous, slope-preserving maps of simple closed curves
32.5 1980. 1102-1113.
Bisztriczky, Ted
.
Biplanar surfaces of order three. {II}
32.4 1980. 839-866.
Bisztriczky, Ted
.
Uniplanar surfaces of order three
8.3 1979. 259-277.
Bisztriczky, Ted
.
On the lines of a surface of order three
243.3 1979. 191-195.
Bisztriczky, Ted
.
On surfaces of order three
22.3 1979. 351-355.
Bisztriczky, Ted
.
Biplanar surfaces of order three
31.2 1979. 396-418.
Bisztriczky, Ted
.
Surfaces of order three with a peak. {I}
11.1 1978. 55-83.
Bisztriczky, Ted
.
Surfaces of order three with a peak. {II}
11.2 1978. 110-138.
Bisztriczky, Ted
.
Hypersurfaces of order two
220. 1976. 205-233.
Preprint
Bisztriczky, Ted
.
A signature theorem for uniform matroids
2004.
Bisztriczky, Ted
.
A Class of Four Dimensional Gale Polytopes
2001.
Bisztriczky, Ted
.
A Class of Periodically-Cyclic 6-Polytopes.
2001.
Courses
Supervised Students
Research Groups
Center for Computational and Discrete Geometry (CCDG)
Degrees
1970 - B.Sc. -
McMaster University
1971 - M.Sc. -
McMaster University
1975 - Ph.D. -
University of Toronto
Students
Ph.D. Students:
Ryan Trelford
2011 to Present
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