List of Publications of Thomas F. Banchoff
 Tightly embedded 2dimensional polyhedral
manifolds, Amer. J. Math., 87 (1965), 462472.
(abstract)

Critical points and curvature for embedded polyhedra, J. Differential Geometry, 1 (1967), 257268.

Total central curvature of curves, Duke Math. J., 37 (1970), 281289.

Periodic points of Anosov diffeomorphisms (with Michael I. Rosen), Proceedings of
Symposia in Pure Mathematics, Global Analysis, Vol. XIV (1970), 1721.

The spherical two piece property and tight surfaces in spheres, J. Differential Geometry, 4 (1970), 193205.

Critical points and curvature for embedded polyhedral surfaces, Amer. Math. Monthly, 77 (1970), 475485.

Nonrigidity theorems for tight polyhedral tori, Archiv der Mathematik, 21 (1970), 416423.

The twopiece property and tight nmanifoldswithboundary in E^n , Trans. Amer. Math. Soc. 161 (1971), 259267.

[9] On a generalization of the isoperimetric inequality (with William Pohl), J. Differential
Geometry, 6 (1971), 175192.
 High codimensional 0tight mappings on spheres, Proc. Amer. Math. Soc., 29 (1971), 133137.

Applications of elementary calculus, Eight lectures in an NSF Sponsored Conference for College Teachers of Mathematics, Summer 1971, published in the Proceedings of the Conference.

Polyhedral Catastrophe I: Maps of the Line to the Line, Dynamical Systems, Academic
Press (1973), 722.
 Global Geometry of Polygons I: The Theorem of FabriciusBjerre, Proc. A.M.S. 45 (1974), 237241.

Real Time Computer Graphics Techniques in Geometry (with Charles Strauss), Proceedings of Symposia in Applied Mathematics Vol. 20, The Influence of Computing on Mathematical Research and Education, Amer. Math. Soc. (1974), 105 111.

Triple Points and Surgery for Immersed Surfaces, Proc. A.M.S. 46 (1974), 407413.

StiefelWhitney Homology Classes and Singularities of Projections for Polyhedral Manifolds, Amer. Math. Soc. Proc. Sympos. Pure Math., Vol. XXVII, Stanford University 1973, Part I (1975), 333347.

The Behavior of the Total Twist and SelfLinking Number of a Closed Space Curve under Inversions (with James E. White), Mathematica Scandinavica 36 (1975), 254 262.
 Height functions with three critical points (with Floris Takens), Illinois J. Mathematics, 76 (1975), 325335.
 Minimal submanifolds of the Bicylinder Boundary ,Boletim da Sociedade Brasileira de
Matematica, 7 (1976), 3757.
 SelfLinking Numbers of Space Polygons, Indiana University Mathematics Journal 25
(1976), 11711188.
 Immersions and Mod 2 Quadratic Forms (with Lou Kauffman), American Mathematical
Monthly 84 (1977), 168185. (Awarded Lester Ford Award for exposition, Summer 1978).
 Whitney Duality and Singularities of Projections (with Clint McCrory), Proceedings of
Escuela Latinoamericana de Mathematica, Rio de Janeiro, SpringerVerlag Lecture Notes in Mathematics 5997 (1977), 6881.
 Computer Animation and the Geometry of Surfaces in 3 and 4Space, Proceedings of the International Congress of Mathematicians, Helsinki (1978), (Invited 45 minute address), 10051013.

RealTime Computer Graphics Analysis of Figures in FourSpace (with Charles Strauss),American Association of the Advancement of Science Selected Symposium 24 (1978), Westview Press, Colo., pp. 159168.
 Combinatorial Formula for Normal Whitney Classes (with Clint McCrory), Proceedings of the A.M.S. 76 (1979), 171177.
 Selected Papers in Geometry (Edited by Ann Stehney, Tilla Milnor, Joseph D'Atri and Thomas Banchoff), Mathematical Association of America (1979).

Sur les points paraboliques des surfaces: erratum et complements (with Rene Thom), C. R. Acad. Sc. Paris, 291 (27 Octobre 1980), 503505.
 Every Sphere Eversion has a Quadruple Point (with Nelson Max), Am. J. Math.,
Supplementary Issue (1981), 191209.
 Cusps of Gauss Mappings (with T. Gaffney and C. McCrory), Pitman Advanced Publishing Program, 55 (1982), London, pp. 188.
 Double Tangency Theorems for Pairs of Submanifolds, Geometry Symposium Utrecht
(1980), SpringerVerlag Lecture Notes 894, pp. 2648.
 Geometrical Class and Degree for Surfaces in ThreeSpace (N. Kuiper), J. Diff. Geom. 16 (1981), 559576.
 Circular and Countercircular Images of Plane Curves (with E. Beckenbach), General
Inequalities 3 (1983), ISNM64, BirkhäuserVerlag, 321337.
 The NineVertex Complex Projective Plane (with W. Kühnel), Mathematical Intelligencer 5 (1983), 1122.
 Linear Algebra Through Geometry (with J. Wermer), SpringerVerlag (1983).
 DIAL: A Diagrammatic Animation Language (with S. Feiner and D. Salesin), IEEE
Computer Graphics and Applications, 2, No. 7 (1982), 4354.
 Computer Graphics in Geometric Research, Recent Trends in Mathematics, Teubner Texte 50 (1983), 316327.
 Critical points and curvature for embedded polyhedra II, Differential Geometry, Proc.
Special Year, Maryland, Progress in Math 32, BirkhŠuser (1983), 3455.
 Normal Curvatures and Euler Classes for Polyhedral Surfaces in 4Space, Proc. A.M.S.,92 (1984), 593596.
 Differential Geometry and Computer Graphics, Perspective in Mathematics, Anniversary of Oberwolfach (1984) BirkhŠuserVerlag, Basel, pp. 4360.
 Counting Tritangent Planes of Space Curves (with T. Gaffney and C. McCrory), Topology 34 (1985), 1524.
 Visualizing TwoDimensional Phenomena in FourDimensional Space, Statistical Image Processing, Marcel Dekker (1986), 187202.

Topology and Mechanics with Computer Graphics: Linear
Hamiltonian Systems in Four Dimensions (with H. Koçla;ak, F. Bisshopp and D. Laidlaw), Advances in Applied
Mathematics (1986), 282308.
 Computer Graphics and Differential Geometry: Because the Light is Better over Here. The Merging of Disciplines: New Directions in Pure, Applied, and Combinatorial Mathematics, SpringerVerlag(1986) 111.
 Global Theorems for Symmetry Sets of Smooth Curves and Polygons in the Plane (with Peter Giblin) Proc. Royal Soc. Edinburgh 106A (1987) 221231.
 Torus Decompositions of Regular Polytopes in 4Space. Shaping Space (1988), BirkhäuserVerlag, 221230.
 From Flatland to Hypergraphics: Interacting with Higher Dimensions Interdisciplinary Science Reviews,15, No. 4 (1990) 364372.
 Beyond the Third Dimension, (1990) New York: W. H.Freeman & Co., Scientific American Library, 1210.
 Student Generated Interactive Software for Calculus of Surfaces in a Workstation Laboratory, (with student associates) UME Trends 1, No. 3, (1990) 78.
 Geometry of the Hopf Mapping and Pinkall's Tori of Given Conformal Type Computers in Geometry, Marcel Dekker, New York (1990) 5762.
 Computer Graphics Tools for Rendering Algebraic Surfaces and the Geometry of Order
Geometric Analysis and Computer Graphics, SpringerVerlag, New York (1991) 3137.
 Computer Laboratory Magnification of Idiosyncrasies MAA Notes 20 (1991) 18.
 Investigating Volumes: The Air France Cup Geometry's Future, COMAP (1991) 87 93.
 Dimensions On the Shoulders of Giants, National
Academy of Sciences Press (1991) 1159.
 Flatland: A New Introduction Princeton Science Series, Princeton University Press (1991) xvxxxi.
 Linear Algebra Through Geometry (with J. Wermer), revised and expanded second edition, SpringerVerlag (1991).
 Illustrating Beyond the Third Dimension, (with
Davide Cervone) Leonardo, special issue on mathematics and
computer graphics, 25 3/4 (1992) 273280.
 Euler Numbers, Complex Points and
Singularities of Projections for Oriented Surfaces in FourSpace
(with F. Farris) Pacific Journal of Mathematics 161
no. 1 (1993) 1, 24..
 Equilibrium Triangulations of the Complex
Projective Plane (with Wolfgang Kühnel), Geometriae
Dedicata.44(1992)313333.
 With Coxeter at the International Congress on
Mathematics Education VII, Focus12 No. 5 (1992) 4, 16.
 Symmetry Sets of Piecewise Circular Curves
(with Peter Giblin), Proc. Royal Soc. Edinburgh
123A (1993) 115.
 Interactive Computer Graphics, Higher
Dimensional Geometry, and Electronic Publication: From Flatland to
Hypertext, The Serials Librarian24 No. 34 (1994)
915. simultaneously in New Scholarship, New Serials: POroceedings
of the North American Serials Group The Haworth Press (1994) 915.
 ODE on a Grecian Urn, American Mathematical
Monthly100 No. 9 (1993) cover.
 On the Geometry of Piecewise Circular Curves
(with Peter Giblin), American Mathematical Monthly 101
No. 5 (1994) 403416.