Robert Connelly

 
 

 
Papers
 
"Frameworks, tensegrities, and symmetry"
Robert Connelly and Simon D. Guest
Publisher: Cambridge University Press, Cambridge, (2022), (Pgs. xiv+283) (doi: 10.1017/9780511843297)
 

"Packing disks by flipping and flowing"
Robert Connelly and Steven J. Gortler
Journal: Discrete Comput. Geom., (2021), (Vol. 66), No. 4, (Pgs. 1262--1285) (doi: 10.1007/s00454-020-00242-8)
 

"The isostatic conjecture"
Robert Connelly, Steven J. Gortler, Evan Solomonides and Maria Yampolskaya
Journal: Discrete Comput. Geom., (2020), (Vol. 64), No. 3, (Pgs. 734--758) (doi: 10.1007/s00454-018-00051-0)
 

"Generically globally rigid graphs have generic universally rigid frameworks"
Robert Connelly, Steven J. Gortler and Louis Theran
Journal: Combinatorica, (2020), (Vol. 40), No. 1, (Pgs. 1--37) (doi: 10.1007/s00493-018-3694-4)
 

"Rigidity for sticky discs"
Robert Connelly, Steven J. Gortler and Louis Theran
Journal: Proc. A., (2019), (Vol. 475), No. 2222, (Pgs. 20180773, 16) (doi: 10.1098/rspa.2018.0773)
 

"Tensegrity"
Robert Connelly and Anthony Nixon
Publisher: CRC Press, Boca Raton, FL, Series: Discrete Math. Appl. (Boca Raton), (2019), (Pgs. 299--315)
 

"A Calculus Problem"
Robert Connelly
(2019) (paper)
 

"Affine rigidity and conics at infinity"
Robert Connelly, Steven J. Gortler and Louis Theran
Journal: Int. Math. Res. Not. IMRN, (2018), No. 13, (Pgs. 4084--4102) (doi: 10.1093/imrn/rnx014)
 

"Straight line motion with rigid sets"
Robert Connelly and Luis Montejano
Journal: Beitr. Algebra Geom., (2018), (Vol. 59), No. 1, (Pgs. 127--132) (doi: 10.1007/s13366-017-0353-7)
 

"Prestress stability of triangulated convex polytopes and universal second-order rigidity"
Robert Connelly and Steven J. Gortler
Journal: SIAM J. Discrete Math., (2017), (Vol. 31), No. 4, (Pgs. 2735--2753) (doi: 10.1137/15M1054833)
 

"Packings of equal disks in a square torus"
Robert Connelly, Matthew Funkhouser, Vivian Kuperberg and Evan Solomonides
Journal: Discrete Comput. Geom., (2017), (Vol. 58), No. 3, (Pgs. 614--642) (doi: 10.1007/s00454-016-9843-x)
 

"Universal rigidity of complete bipartite graphs"
Robert Connelly and Steven J. Gortler
Journal: Discrete Comput. Geom., (2017), (Vol. 57), No. 2, (Pgs. 281--304) (doi: 10.1007/s00454-016-9836-9)
 

"Rigid flattening of polyhedra with slits"
Zachary Abel, Robert Connelly, Erik D. Demaine, Martin L. Demaine, Thomas C. Hull, Anna Lubiw and Tomohiro Tachi
Publisher: Amer. Math. Soc., Providence, RI, (2015), (Pgs. 109--117) (doi: 10.1090/mbk/095.1/11)
 

"Free edge lengths in plane graphs"
Zachary Abel, Robert Connelly, Sarah Eisenstat, Radoslav Fulek, Filip Mori\'{c}, Yoshio Okamoto, Tibor Szab\'{o} and Csaba D. T\'{o}th
Journal: Discrete Comput. Geom., (2015), (Vol. 54), No. 1, (Pgs. 259--289) (doi: 10.1007/s00454-015-9704-z)
 

"Iterative universal rigidity"
Robert Connelly and Steven J. Gortler
Journal: Discrete Comput. Geom., (2015), (Vol. 53), No. 4, (Pgs. 847--877) (doi: 10.1007/s00454-015-9670-5)
 

"Free edge lengths in plane graphs"
Zachary Abel, Robert Connelly, Sarah Eisenstat, Radoslav Fulek, Filip Mori\'{c}, Yoshio Okamoto, Tibor Szab\'{o} and Csaba D. T\'{o}th
Publisher: ACM, New York, (2014), (Pgs. 426--435)
 

"Ball packings with periodic constraints"
Robert Connelly, Jeffrey D. Shen and Alexander D. Smith
Journal: Discrete Comput. Geom., (2014), (Vol. 52), No. 4, (Pgs. 754--779) (doi: 10.1007/s00454-014-9636-z)
 

"Periodic planar disc packings"
Robert Connelly and William Dickinson
Journal: Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., (2014), (Vol. 372), No. 2008, (Pgs. 20120039, 17) (doi: 10.1098/rsta.2012.0039)
 

"Generic global rigidity of body-bar frameworks"
R. Connelly, T. Jord\'{a}n and W. Whiteley
Journal: J. Combin. Theory Ser. B, (2013), (Vol. 103), No. 6, (Pgs. 689--705) (doi: 10.1016/j.jctb.2013.09.002)
 

"Tensegrities and global rigidity"
Robert Connelly
Publisher: Springer, New York, (2013), (Pgs. 267--278) (doi: 10.1007/978-0-387-92714-5_21)
 

"What is $\ldots$ a tensegrity?"
Robert Connelly
Journal: Notices Amer. Math. Soc., (2013), (Vol. 60), No. 1, (Pgs. 78--80) (doi: 10.1090/noti933)
 

"Flexible suspensions with a hexagonal equator"
Victor Alexandrov and Robert Connelly
Journal: Illinois J. Math., (2011), (Vol. 55), No. 1, (Pgs. 127--155 (2012)) (doi: 10.1215/ijm/1355927031)
 

"Combining globally rigid frameworks"
R. Connelly
Journal: Tr. Mat. Inst. Steklova, (2011), (Vol. 275), No. Klassicheskaya i Sovremennaya Matematika v Pole Deyatel\cprimenosti Borisa Nikolaevicha Delone, (Pgs. 202--209) (doi: 10.1134/S008154381108013X)
 

 
"Locked and unlocked chains of planar shapes"
Robert Connelly, Erik D. Demaine, Martin L. Demaine, S\'{a}ndor P. Fekete, Stefan Langerman, Joseph S. B. Mitchell, Ares Rib\'{o} and G\"{u}nter Rote
Journal: Discrete Comput. Geom., (2010), (Vol. 44), No. 2, (Pgs. 439--462) (doi: 10.1007/s00454-010-9262-3)
 

"Global rigidity: the effect of coning"
R. Connelly and W. J. Whiteley
Journal: Discrete Comput. Geom., (2010), (Vol. 43), No. 4, (Pgs. 717--735) (doi: 10.1007/s00454-009-9220-0)
 

"On the infinitesimal rigidity of weakly convex polyhedra"
Robert Connelly and Jean-Marc Schlenker
Journal: European J. Combin., (2010), (Vol. 31), No. 4, (Pgs. 1080--1090) (doi: 10.1016/j.ejc.2009.09.006)
 

"Classification of first-order flexible regular bicycle polygons"
Robert Connelly and Bal\'{a}zs Csik\'{o}s
Journal: Studia Sci. Math. Hungar., (2009), (Vol. 46), No. 1, (Pgs. 37--46) (doi: 10.1556/SScMath.2008.1074)
 

"Comments on generalized Heron polynomials and Robbins' conjectures"
Robert Connelly
Journal: Discrete Math., (2009), (Vol. 309), No. 12, (Pgs. 4192--4196) (doi: 10.1016/j.disc.2008.10.031)
 

"On the weighted Kneser-Poulsen conjecture"
K\'{a}roly Bezdek and Robert Connelly
Journal: Period. Math. Hungar., (2008), (Vol. 57), No. 2, (Pgs. 121--129) (doi: 10.1007/s10998-008-8121-4)
 

"Rigidity of packings"
Robert Connelly
Journal: European J. Combin., (2008), (Vol. 29), No. 8, (Pgs. 1862--1871) (doi: 10.1016/j.ejc.2008.01.009)
 

"Sudoku, gerechte designs, resolutions, affine space, spreads, reguli, and Hamming codes"
R. A. Bailey, Peter J. Cameron and Robert Connelly
Journal: Amer. Math. Monthly, (2008), (Vol. 115), No. 5, (Pgs. 383--404) (doi: 10.1080/00029890.2008.11920542)
 

"Expansive motions"
Robert Connelly
Publisher: Amer. Math. Soc., Providence, RI, Series: Contemp. Math., (2008), (Pgs. 213--229) (doi: 10.1090/conm/453/08800)
 

"Underconstrained jammed packings of nonspherical hard particles: ellipses and ellipsoids"
Aleksandar Donev, Robert Connelly, Frank H. Stillinger and Salvatore Torquato
Journal: Phys. Rev. E (3), (2007), (Vol. 75), No. 5, (Pgs. 051304, 32) (doi: 10.1103/PhysRevE.75.051304)
 

"Realizability of graphs"
Maria Belk and Robert Connelly
Journal: Discrete Comput. Geom., (2007), (Vol. 37), No. 2, (Pgs. 125--137) (doi: 10.1007/s00454-006-1284-5)
 

"Locked and unlocked chains of planar shapes"
Robert Connelly, Erik D. Demaine, Martin L. Demaine, S\'{a}ndor P. Fekete, Stefan Langerman, Joseph S. B. Mitchell, Ares Rib\'{o} and G\"{u}nter Rote
Publisher: ACM, New York, (2006), (Pgs. 61--70) (doi: 10.1145/1137856.1137868)
 

"Dedication [to K\'{a}roly Bezdek]"
Robert Connelly
Journal: Period. Math. Hungar., (2006), (Vol. 53), No. 1-2, (Pgs. 3) (doi: 10.1007/s10998-006-0016-1)
 

"On the perimeter of the intersection of congruent disks"
K\'{a}roly Bezdek, Robert Connelly and Bal\'{a}zs Csik\'{o}s
Journal: Beitr\"{a}ge Algebra Geom., (2006), (Vol. 47), No. 1, (Pgs. 53--62)
 

"Structures in hyperbolic space"
Robert Connelly
Publisher: Springer, New York, Series: Math. Appl. (N. Y.), (2006), (Pgs. 189--196) (doi: 10.1007/0-387-29555-0_9)
 

"Generic global rigidity"
Robert Connelly
Journal: Discrete Comput. Geom., (2005), (Vol. 33), No. 4, (Pgs. 549--563) (doi: 10.1007/s00454-004-1124-4)
 

"A linear programming algorithm to test for jamming in hard-sphere packings"
Aleksandar Donev, Salvatore Torquato, Frank H. Stillinger and Robert Connelly
Journal: J. Comput. Phys., (2004), (Vol. 197), No. 1, (Pgs. 139--166) (doi: 10.1016/j.jcp.2003.11.022)
 

"The Kneser-Poulsen conjecture for spherical polytopes"
K\'{a}roly Bezdek and Robert Connelly
Journal: Discrete Comput. Geom., (2004), (Vol. 32), No. 1, (Pgs. 101--106) (doi: 10.1007/s00454-004-0831-1)
 

"The Beckman-Quarles theorem for rational $d$-spaces, $d$ even and $d\geq6$"
Robert Connelly and Joseph Zaks
Publisher: Dekker, New York, Series: Monogr. Textbooks Pure Appl. Math., (2003), (Pgs. 193--199) (doi: 10.1201/9780203911211.ch13)
 

"Straightening polygonal arcs and convexifying polygonal cycles"
Robert Connelly, Erik D. Demaine and G\"{u}nter Rote
Journal: Discrete Comput. Geom., (2003), (Vol. 30), No. 2, (Pgs. 205--239) (doi: 10.1007/s00454-003-0006-7)
 

"Two-distance preserving functions"
Nirattaya Khamsemanan and Robert Connelly
Journal: Beitr\"{a}ge Algebra Geom., (2002), (Vol. 43), No. 2, (Pgs. 557--564)
 

"Infinitesimally locked self-touching linkages with applications to locked trees"
Robert Connelly, Erik D. Demaine and G\"{u}nter Rote
Publisher: Amer. Math. Soc., Providence, RI, Series: Contemp. Math., (2002), (Pgs. 287--311) (doi: 10.1090/conm/304/05200)
 

"Pushing disks apart---the Kneser-Poulsen conjecture in the plane"
K\'{a}roly Bezdek and Robert Connelly
Journal: J. Reine Angew. Math., (2002), (Vol. 553), (Pgs. 221--236) (doi: 10.1515/crll.2002.101)
 

"Percolation of the loss of tension in an infinite triangular lattice"
Robert Connelly, Konstantin Rybnikov and Stanislav Volkov
Journal: J. Statist. Phys., (2001), (Vol. 105), No. 1-2, (Pgs. 143--171) (doi: 10.1023/A:1012282026916)
 

"The polyhedral Tammes problem"
K\'{a}roly Bezdek, Grigoriy Blekherman, Robert Connelly and Bal\'{a}zs Csik\'{o}s
Journal: Arch. Math. (Basel), (2001), (Vol. 76), No. 4, (Pgs. 314--320) (doi: 10.1007/s000130050574)
 

"Straightening polygonal arcs and convexifying polygonal cycles"
Robert Connelly, Erik D. Demaine and G\"{u}nter Rote
Publisher: IEEE Comput. Soc. Press, Los Alamitos, CA, (2000), (Pgs. 432--442) (doi: 10.1109/SFCS.2000.892131)
 

"Two-distance preserving functions from Euclidean space"
K\'{a}roly Bezdek and Robert Connelly
Journal: Period. Math. Hungar., (1999), (Vol. 39), No. 1-3, (Pgs. 185--200) (doi: 10.1023/A:1004859411072)
 

"The minimum mean with translation cover for sets of diameter one"
K\'{a}roly Bezdek and Robert Connelly
Publisher: Tech. Univ. Graz, Graz, (1999), (Pgs. 4--10)
 

"The minimum mean width translation cover for sets of diameter one"
K\'{a}roly Bezdek and Robert Connelly
Journal: Beitr\"{a}ge Algebra Geom., (1998), (Vol. 39), No. 2, (Pgs. 473--479)
 

"Finite and uniform stability of sphere packings"
A. Bezdek, K. Bezdek and R. Connelly
Journal: Discrete Comput. Geom., (1998), (Vol. 20), No. 1, (Pgs. 111--130) (doi: 10.1007/PL00009374)
 

"Minimal translation covers for sets of diameter 1"
K\'{a}roly Bezdek and Robert Connelly
Journal: Period. Math. Hungar., (1997), (Vol. 34), No. 1-2, (Pgs. 23--27) (doi: 10.1023/A:1004268322787)
 

"The bellows conjecture"
R. Connelly, I. Sabitov and A. Walz
Journal: Beitr\"{a}ge Algebra Geom., (1997), (Vol. 38), No. 1, (Pgs. 1--10)
 

"Problems and Solutions: Solutions: 10308"
Robert Connelly, John H. Hubbard, Ilias Kastanas and MMRS
Journal: Amer. Math. Monthly, (1996), (Vol. 103), No. 5, (Pgs. 430--431) (doi: 10.2307/2974941)
 

"Second-order rigidity and prestress stability for tensegrity frameworks"
Robert Connelly and Walter Whiteley
Journal: SIAM J. Discrete Math., (1996), (Vol. 9), No. 3, (Pgs. 453--491) (doi: 10.1137/S0895480192229236)
 

"Tens\'{e}grit\'{e}s sym\'{e}triques globalement rigides"
R. Connelly and M. Terrell
Journal: Structural Topology, (1995), No. 21, (Pgs. 59--78)
 

"Finite and uniform stability of sphere coverings"
A. Bezdek, K. Bezdek and R. Connelly
Journal: Discrete Comput. Geom., (1995), (Vol. 13), No. 3-4, (Pgs. 313--319) (doi: 10.1007/BF02574047)
 

"Kaleidoscopes and mechanisms"
R. Connelly, B. Hendrickson and M. Terrell
Publisher: North-Holland, Amsterdam, Series: Colloq. Math. Soc. J, (1994), (Pgs. 67--75)
 

"Higher-order rigidity---what is the proper definition?"
Robert Connelly and Herman Servatius
Journal: Discrete Comput. Geom., (1994), (Vol. 11), No. 2, (Pgs. 193--200) (doi: 10.1007/BF02574003)
 

"Problems and Solutions: Problems: 10306-10313"
Seung-Jin Bang, John Calvin Williams, I. Martin Isaacs, Robert Connelly, John H. Hubbard, Walter Whiteley, Walter Rudin, E. Rodney Canfield, Solomon W. Golomb, Hongyuan Zha, O. Krafft and M. Schaefer
Journal: Amer. Math. Monthly, (1993), (Vol. 100), No. 5, (Pgs. 498--499) (doi: 10.2307/2324311)
 

"Rigidity"
Robert Connelly
Publisher: North-Holland, Amsterdam, (1993), (Pgs. 223--271)
 

"Lower bounds for packing densities"
K. Bezdek and R. Connelly
Journal: Acta Math. Hungar., (1991), (Vol. 57), No. 3-4, (Pgs. 291--311) (doi: 10.1007/BF01903681)
 

"On generic global rigidity"
Robert Connelly
Publisher: Amer. Math. Soc., Providence, RI, Series: DIMACS Ser. Discrete Math. Theoret. Comput. Sci., (1991), (Pgs. 147--155) (doi: 10.1090/dimacs/004/11)
 

"Juxtapositions rigides de cercles et de sph\`eres. II. Juxtapositions infinies de mouvement fini"
Robert Connelly
Journal: Structural Topology, (1990), No. 16, (Pgs. 57--76)
 

"On hyperplanes and polytopes"
K. Bezdek, T. Bisztriczky and R. Connelly
Journal: Monatsh. Math., (1990), (Vol. 109), No. 1, (Pgs. 39--48) (doi: 10.1007/BF01298851)
 

"Covering curves by translates of a convex set"
K. Bezdek and R. Connelly
Journal: Amer. Math. Monthly, (1989), (Vol. 96), No. 9, (Pgs. 789--806) (doi: 10.2307/2324841)
 

"Intersection points"
K. Bezdek and R. Connelly
Journal: Ann. Univ. Sci. Budapest. E\"{o}tv\"{o}s Sect. Math., (1988), (Vol. 31), (Pgs. 115--127 (1989))
 

"Juxtapositions rigides de cercles et de sph\`eres. I. Juxtapositions finies"
Robert Connelly
Journal: Structural Topology, (1988), No. 14, (Pgs. 43--60)
 

"On the average number of neighbors in a spherical packing of congruent circles"
K. Bezdek, R. Connelly and G. Kert\'{e}sz
Publisher: North-Holland, Amsterdam, Series: Colloq. Math. Soc. J, (1987), (Pgs. 37--52)
 

"Reviews: Winning Ways for Your Mathematical Plays"
Robert Connelly
Journal: Amer. Math. Monthly, (1986), (Vol. 93), No. 5, (Pgs. 411--414) (doi: 10.2307/2323620)
 

"Ellipsoids and lightcurves"
Robert Connelly and Steven J. Ostro
Journal: Geom. Dedicata, (1984), (Vol. 17), No. 1, (Pgs. 87--98) (doi: 10.1007/BF00181521)
 

"The space of simplexwise linear homeomorphisms of a convex $2$-disk"
Ethan D. Bloch, Robert Connelly and David W. Henderson
Journal: Topology, (1984), (Vol. 23), No. 2, (Pgs. 161--175) (doi: 10.1016/0040-9383(84)90037-5)
 

"On the problems related to linear homeomorphisms, embeddings, and isotopies"
Robert Connelly, David W. Henderson, Chung Wu Ho and Michael Starbird
Publisher: Univ. Texas Press, Austin, Tex., (1983), (Pgs. 229--239)
 

"Rigidity and energy"
Robert Connelly
Journal: Invent. Math., (1982), (Vol. 66), No. 1, (Pgs. 11--33) (doi: 10.1007/BF01404753)
 

"The rigidity of certain cabled frameworks and the second-order rigidity of arbitrarily triangulated convex surfaces"
Robert Connelly
Journal: Adv. in Math., (1980), (Vol. 37), No. 3, (Pgs. 272--299) (doi: 10.1016/0001-8708(80)90037-7)
 

"A convex $3$-complex not simplicially isomorphic to a strictly convex complex"
Robert Connelly and David W. Henderson
Journal: Math. Proc. Cambridge Philos. Soc., (1980), (Vol. 88), No. 2, (Pgs. 299--306) (doi: 10.1017/S0305004100057595)
 

"Conjectures and open questions in rigidity"
Robert Connelly
Publisher: Acad. Sci. Fennica, Helsinki, (1980), (Pgs. 407--414)
 

"The rigidity of polyhedral surfaces"
Robert Connelly
Journal: Math. Mag., (1979), (Vol. 52), No. 5, (Pgs. 275--283) (doi: 10.2307/2689778)
 

"How to build a flexible polyhedral surface"
Robert Connelly
Publisher: Academic Press, New York-London, (1979), (Pgs. 675--683)
 

"The rigidity of suspensions"
Robert Connelly
Journal: J. Differential Geometry, (1978), (Vol. 13), No. 3, (Pgs. 399--408)
 

"A flexible sphere"
Robert Connelly
Journal: Math. Intelligencer, (1978/79), (Vol. 1), No. 3, (Pgs. 130--131) (doi: 10.1007/BF03023258)
 

"Contractible, non-collapsible products with cubes"
I. Berstein, M. Cohen and R. Connelly
Journal: Topology, (1978), (Vol. 17), No. 2, (Pgs. 183--187) (doi: 10.1016/S0040-9383(78)90023-X)
 

"A counterexample to the rigidity conjecture for polyhedra"
Robert Connelly
Journal: Inst. Hautes \'{E}tudes Sci. Publ. Math., (1977), No. 47, (Pgs. 333--338)
 

"An immersed polyhedral surface which flexes"
Robert Connelly
Journal: Indiana Univ. Math. J., (1976), (Vol. 25), No. 10, (Pgs. 965--972) (doi: 10.1512/iumj.1976.25.25076)
 

"An attack on rigidity. I, II"
Robert Connelly
Journal: Bull. Amer. Math. Soc., (1975), (Vol. 81), (Pgs. 566--569) (doi: 10.1090/S0002-9904-1975-13739-6)
 

"An attack on rigidity. I, II"
Robert Connelly
A local preprint created in 1974 at Cornell.
([I], [II], [Russian])
 

"On graphs with a constant link. II"
Morton Brown and Robert Connelly
Journal: Discrete Math., (1975), (Vol. 11), (Pgs. 199--232) (doi: 10.1016/0012-365X(75)90037-0)
 

"An extension of Brouwer's fixed-point theorem to nonacyclic, set valued functions"
Robert Connelly
Journal: Proc. Amer. Math. Soc., (1974), (Vol. 43), (Pgs. 214--218) (doi: 10.2307/2039358)
 

"On graphs with a constant link"
Morton Brown and Robert Connelly
Publisher: Academic Press, New York, (1973), (Pgs. 19--51)
 

"A new proof of Brown's collaring theorem"
Robert Connelly
Journal: Proc. Amer. Math. Soc., (1971), (Vol. 27), (Pgs. 180--182) (doi: 10.2307/2037284)
 

"UNKNOTTING CLOSE EMBEDDINGS OF POLYHEDRA IN CODIMENSION GREATER THAN THREE"
Robert Connelly Jr
Publisher: ProQuest LLC, Ann Arbor, MI, (1970), (Pgs. 46)
 

"Unknotting close polyhedra in codimension three"
Robert Connelly
Publisher: Markham, Chicago, Ill., (1970), (Pgs. 384--388)
 

"Elementary Problems and Solutions: Solutions: E1506"
L. R. Ford Jr. and Robert Connelly
Journal: Amer. Math. Monthly, (1962), (Vol. 69), No. 10, (Pgs. 1009) (doi: 10.2307/2313210)