Recent Publications

2024

C. H. Séquin, "Handle-Bodies Inspired by Tengstrand's "3-2-1"-Sculpture." Bridges Conference, 2024. my PDF
C. H. Séquin, "Tengstrand's "3-2-1"-Sculpture and New Derivatives." SCULPT track of the SMI Conference, 2024. my PDF

2023

C. H. Séquin, "Easy-to-Understand Models of Complete Maps." Bridges Conference, July 27, 2023. my PDF
C. H. Séquin, "Cable-Knots and Knotted Braids." CAD and Applications, summer 2023. my PDF
C. H. Séquin, "Cable-Knot Sculptures." Extended Abstract for the CAD Conference, Mexico City, July 10-12, 2023. my PDF
C. H. Séquin, "Design Studies Inspired by Perry's 'Sea & Sky'." SCULPT track of the SMI Conference, July 7, 2023. my PDF

2022

C. H. Séquin, "Partitioning and Assembly of Gosper Sculptures." SMI-SCULPT-track, Hyperseeing, June 2022. PDF-link my PDF
C. H. Séquin, "Gosper Sculptures Revisited." Bridges Conf. Proc., pp 9-16, Helsinki, Aug. 2022. my PDF

2021

C. H. Séquin, "3D Gosper Sculptures." SPM - SMI_FASE, Hyperseeing, Oct. 2021. PDF-link my PDF
C. H. Séquin, "Polyhedral-Edge Knots." Bridges Conf. Proc., pp 63-70, Aug. 2021. my PDF
G. Perko-Engel and C. H. Séquin, "Infinite Quasi-Periodic Origami Tilings." Bridges Conf. Proc., pp 319-322, Aug. 2021. my PDF

2020

C. H. Séquin, "Everted Embeddings." Bridges Conf. Proc., pp 57-66, Aug. 2020. my PDF
P. A. Q. Generao and C. H. Séquin, "Maximizing the Symmetry of Knots." Bridges Conf. Proc., pp 145-152, Aug. 2020. my PDF
C. H. Séquin, "Two complementary ways of linking math and art." Journal of Mathematics and the Arts, Vol.14, No 1-2, pp128-131, June 26, 2020. my PDF
C. H. Séquin, "Symmetrical Vortex Knots." SPM - SMI_FASE, Hyperseeing, June 2020. PDF-link my PDF
C. H. Séquin, "A Dozen Ways of Showing the Same Topology." in Illustrating Mathematics, edited bi Dianna Davis, American Mathematical Society, pp 160-161, 2020. my PDF

2019

C. H. Séquin, "From Seifert Surfaces to Star Cinders." Bridges Conf. Proc., pp 179-186, Linz, Austria, July , 2019. my PDF
C. H. Séquin, W. Brandon, J. Liu, "Modular Construction of Symmetrical Knots." FASE_SMI, Geometry Summit, Vancouver BC, June 21, 2019. my PDF
C. H. Séquin and Toby Chen, "Combining Procedural Modeling and Interactive Graphical Editing for the Design of Abstract Geometrical Sculptures." FASE_SMI, Geometry Summit, Vancouver BC, June 21, 2019. my PDF
C. H. Séquin, "Turning Hild's Sculptures into Single-Sided Surfaces." In a special issue of Mathematics (ISSN 2227-7390) on "Topological Modeling" Vol.7, Iss.2, Jan. 2019. my PDF

2018

C. H. Séquin, "Homage to Charles O. Perry." Bridges Conf. Proc., pp 123-130, Stockholm, Sweden, July 25-29, 2018. my PDF
Y. Amir and C. H. Séquin, "Modular Toroids Constructed from Nonahedra," Bridges Conf. Proc., pp 131-138, Stockholm, Sweden, July 25-29, 2018. my PDF
C. H. Séquin , "Möbius Bridges." Journal of Mathematics and the Arts, Vol 0, No 0, pp.1-14. January 2018. my PDF

2017

C. H. Séquin and R. Shiau, "Rendering Pacioli's Rhombicuboctahedron," reprinted in "The Best Writing on Mathematics 2017", edited by Mircea Pitici, Princeton University Press, 2017, pp 106-120. my PDF
C. H. Séquin, "Homage to Eva Hild," Bridges Conf. Proc., pp 117-124, Waterloo, Canada, July 27-31, 2017. my PDF
C. H. Séquin, Report on "Reverberating Echoes: Contemporary Art Inspired by Traditional Islamic Art" at the Graduate Theological Union, Berkeley, CA, Jan. 31–May 26, 2017; Journal of Mathematics and the Arts, Vol 2, Issue 2, pp 114-127, 2017. my PDF
C. H. Séquin, "Report on Bridges 2016 -- In Memory of Our Founder, Reza Sarjhangi (1952-2016)," Notices of the AMS, Vol 64, No 2, pp 152-155, Feb. 2017. AMS_PDF; my extended PDF

2016

C. H. Séquin, "Parametric Co-Design of Modular Free-Form 2-Manifolds," Computer-Aided Design and Applications (12 pages), October 2016. my PDF
W. van Ballegooijen and C. H. Séquin, "Interlinking Polyhedral Wire-Frames," Bridges Conf. Proc., pp 87-96, Jyväskylä, August 9-13, 2016. my PDF
C. H. Séquin, "From Klein Bottles to Modular Super-Bottles," Bridges Conf. Proc., pp 41-48, Jyväskylä, August 9-13, 2016. my PDF
C. H. Séquin, "Parametric Co-Design of Modular Free-Form 2-Manifolds," CAD-Conference Abstract (5 pages), June 27-29, 2016. my PDF

2015

C. H. Séquin and R. Shiau, "Rendering Pacioli's Rhombicuboctahedron," Journal of Mathematics and the Arts, Vol 9, Issue 3-4, pp 103-110, July 2015. my PDF
C. H. Séquin, "2-Manifold Sculptures," Bridges Conf. Proc., pp 17-26, Baltimore, July 29-August 2, 2015. my PDF
C. H. Séquin and L. Larrucea, "Introducing the Möbius-Twisted Turk’s Head Knot," Bridges Conf. Proc., pp 335-338, Baltimore, July 29-August 2, 2015. my PDF
S. J. Liu, Y. Kim, R. Shiau, C. H. Séquin, "Large, Symmetric, '7-Around' Hyperbolic Disks," Bridges Conf. Proc., pp 391-394, Baltimore, July 29-August 2, 2015. my PDF
C. H. Séquin, "Reconfigurable Snap-Together Sculpting," Computer-Aided Design and Applications, July 2015. my PDF

2014

C. H. Séquin, "Knotted Twistors -- Twistor Knots," Hyperseeing, Winter 2014. my PDF
C. H. Séquin, "Tetra-Tangle of Four Bow-Tie Links," Hyperseeing, Winter 2014. my PDF
C. H. Séquin, "On the number of Klein bottle types," reprinted in "The Best Writing on Mathematics 2014", edited by Mircea Pitici, Princeton University Press, 2014. pp 105-127. my PDF
C. H. Séquin and M. Galemmo, "LEGO® Knots," Bridges Conf. Proc., pp 261-270, Seoul, Korea, August 14-19, 2014. PDF
M. Galemmo and C. H. Séquin, "Tria Tubes," Bridges Conf. Proc., pp 373-376, Seoul, Korea, August 14-19, 2014. PDF
C. H. Séquin, "Art, Math, Science, and Computers," Seoul Intelligencer (Springer), Spring 2014. PDF

2013

C. H. Séquin, "Symmetrical Immersions of Low-genus Non-orientable Regular Maps," Symmetry Festival, Delft, the Netherlands, August 2-7, 2013, (16 pages). PDF
S. Goodman, A. Mellnik, C. H. Séquin," Girl's Surface," Bridges Conf. Proc., pp 383-388, Enschede, the Netherlands, July 26-31, 2013. PDF
C. H. Séquin, "Cross-Caps -- Boy Caps -- Boy Cups," Bridges Conf. Proc., pp 207-216, Enschede, the Netherlands, July 26-31, 2013. PDF
C. H. Séquin, "On the number of Klein bottle types," Journal of Mathematics and the Arts, Vol 7, No 2, pp 51-63. June 2013. my PDF
J. Andrews and C. H. Séquin, "Type-Constrained Direct Fitting of Quadric Surfaces," CAD&A, June 2013. PDF
J. Andrews and C. H. Séquin, "Generalized, Basis-Independent Kinematic Surface Fitting," JCAD, Vol.45, No 3, pp 615-620, Mar. 2013. Bib PDF
C. H. Séquin, "Making Graphics Tangible," JCAG, Vol 37, pp 148-164, March 2013. on-line; my PDF

2012

C. H. Séquin, "Witnessing the Birth of VLSI," IEEE Solid-State Circuits Magazine; commentary accompanying Lynn Conway's "VLSI Reminiscences", pp 36-39, Dec. 2012. PDF
C. H. Séquin, "Topological Tori as Abstract Art," Journal of Mathematics and the Arts, Vol 6, No 4, Dec. 2012, pp 191-209. PDF
C. H. Séquin, "From Moebius Bands to Klein-Knottles," Bridges Conf. Proc., pp 93-102, Towson, MD, July 25-29, 2012. PDF
P. Hilton, J. Pederson, and C. H. Séquin, "Star Theorem Patterns Relating to 2n-gons in Pascal's Triangle," Southeast Asian Bulletin of Mathematics Vol.36, (2012), pp 209-232. PDF
J. Andrews, H. Jin, and C. H. Séquin, "Interactive Inverse 3D Modeling," Computer-Aided Design and Applications, Vol 9. 2012. Bib PDF -- Best Student Paper!
B. Collins, D. Lynn, S. Reinmuth, and C. H. Séquin, "Realization of Two New Large-Scale Sculptures," Fabrication and Sculpture Track, Shape Modeling International Conference, Texas A&M, May 25, 2012. PDF
C. H. Séquin, "Prototyping Dissection Puzzles with Layered Manufacturing," Fabrication and Sculpture Track, Shape Modeling International Conference, Texas A&M, May 23, 2012. PDF
C. H. Séquin, "A 10-Dimensional Jewel," Gathering for Gardner G4GX, 8 pages, Atlanta GA, March 28-April 1, 2012. PDF
C. H. Séquin, "Interactive 3D Rapid-Prototyping Models," Poster at I3D, Orange County, CA, March 10, 2012. abstract - PPT -- Best Poster Award!
C. H. Séquin, "Taking the 'Virtual' out of Virtual Reality," IEEE Virtual Reality Conference, Orange County, CA, March 4-8, 2012. abstract

2011

J. Hamlin and C. H. Séquin, "Computer Generation of Ribbed Sculptures," reprinted in "The Best Writing on Mathematics 2011", Mircea Pitici, editor, Princeton University Press, 2011, pp 93-114. my PDF
C. H. Séquin, "Tori Story," Bridges Conf. Proc., pp 121-130, Coimbra, Portugal, July 27-31, 2011. PDF
J. Andrews, P. Joshi, and C. H. Séquin, "Interactive Extraction and Re-Design of Sweep Geometries," Computer Graphics International 2011, Paper 280, pp 1-4, June 2011. Bib PDF
J. Bisceglio, T. J. Peters, J. A. Roulier, and C. H. Séquin, "Unknots With Highly Knotted Control Polygons," Computer-Aided Geometric Design, Volume 28, Issue 3, pp 212-214, March 2011. PDF

2010

J. Hamlin and C. H. Séquin, "Computer Generation of Ribbed Sculptures," Journal of Mathematics and the Arts, Volume 4, Dec. 2010, pp 177-189. Bib PDF
C. H. Séquin, "My Search for Symmetrical Embeddings of Regular Maps," Bridges Conference, Pécs, Hungary, July 24-28, 2010, pp 85-94. PDF
C. H. Séquin, "The Beauty of Knots," Gathering for Gardner G4G9, 8 pages, Atlanta GA, March 24-28, 2010. PDF
P. Joshi and C. H. Séquin, "An intuitive explanation of third-order surface behavior," Computer-Aided Geometric Design, Volume 27, Issue 2, pp 150-161, Feb. 2010. PDF

2009

C. H. Séquin, "Tubular Sculptures," Bridges Conference, Banff, Canada, July 25-30, 2009, pp 87-96. PDF
R. Levien and C. H. Séquin, "Interpolating Splines: Which is the fairest of them all?" Computer-Aided Design and Applications, Vol 6, No 1, pp 91-102, 2009. PDF
J. Hamlin and C. H. Séquin, "Ribbed Surfaces for Art, Architecture, and Visualization," Computer-Aided Design and Applications, Vol 6, No 6, pp 749-758, 2009. PDF
M. Howison and C. H. Séquin, "CAD Tools for the Construction of 3D Escher Tiles," Computer-Aided Design and Applications, Vol 6, No 6, pp 737-748, 2009. PDF
P. Joshi and C. H. Séquin, "Visualizing High-Order Surface Geometry," Computer-Aided Design and Applications, Vol 6, No 2, pp 263-268, 2009. PDF

2008

C. H. Séquin, "Algorithmically Acquired Architectural and Artistic Artifacts," Advances in Architectural Geometry, Conf. Proc. Vienna, Austria, September 13-16, 2008, pp 9-12. PDF
C. H. Séquin, "Intricate Isohedral Tilings of 3D Euclidean Space," Bridges Conference, Leeuwarden, The Netherlands, July 24-28, 2008, pp 139-148. PDF
C. H. Séquin, "Eightfold Way," Gathering for Gardner G4G8, Atlanta GA, March 27-30, 2008. PDF

2007

C. H. Séquin, "Tangled Knots," Knotting Math and Art, USF, Tampa, Nov. 1-4, 2007. PDF
C. H. Séquin and J. F. Hamlin, "The Regular 4-Dimensional 57-Cell," SIGGRAPH'07, Sketches and Applications, San Diego, Aug. 4-9, 2007. PDF
C. H. Séquin, "Symmetric Embedding of Locally Regular Hyperbolic Tilings," Bridges Conference, San Sebastian, Spain, July 24-27, 2007, pp 379-388. PDF
C. H. Séquin, "Computer-Aided Design and Realization of Geometrical Sculptures," CAD Conf. Proc., Waikiki, Hawaii, June 25-29, 2007, pp 671-681. PDF
P. Joshi and C. H. Séquin, "Energy Minimizers for Curvature-Based Surface Functionals," CAD Conf. Proc., Waikiki, Hawaii, June 25-29, 2007, pp 607-617. PDF -- Best Student Paper!
C. H. Séquin, S. Reinmuth, and B. Collins, "Design and Implementation of Pax Mundi II," ISAMA Proc. pp11-20, Texas A&M, May 17-21, 2007. PDF
C. H. Séquin and Jaron Lanier, "Hyper-Seeing the Regular Hendeca-choron," ISAMA Proc. pp159-166, Texas A&M, May 17-21, 2007. PDF
C. H. Séquin, "Designing Sculptures with 'Sculpture Generator I'," workshop abstract, ISAMA Proc. pp215-216, Texas A&M, May 17-21, 2007.

2006

C. H. Séquin, "(the sculptures of) CARLO SEQUIN," in "esculturas matemáticas," Exhibit of Mathematical Sculptures, catalog pp 74-87, Universidad Politechnica, Valencia, Spain, November 24, 2006 PDF
A. Do, P. Wright, and C. H. Séquin, "Latest-Generation SLA Resins Enable Direct Tooling for Injection Molding," Third quarter 2006 online issue of PLASTICS INSIGHTS, and SME tech paper series. PDF
C. H. Séquin, "Patterns on the Genus-3 Klein Quartic," Proc. BRIDGES Conference, London, Aug. 4-9, 2006, pp 245-254. PDF
C. H. Séquin, "Hilbert Cube 512," Artist's Sketch, SIGGRAPH'06, Boston, July 30 - Aug. 3, 2006. PDF
Y. Zhang, R. Kamalian, A.M. Agogino, and C.H. Séquin, "Design Synthesis of Microelectromechanical Systems Using Genetic Algorithms with Component-Based Genotype Representation," Proceedings of the GECCO 2006 (Genetic and Evolutionary Computation Conference), Seattle, July 8-12, 2006. ISBN 1-59593-187-2, Vol. 1, pp. 731-738.

2005

C. H. Séquin, "Interactive Procedural Computer-Aided Design" CAD/Graphics Conference, HKUST, Hong Kong, Dec. 7-10, 2005.
C. H. Séquin, "Symmetrical Hamiltonian Manifolds on Regular 3D and 4d Polytopes" Coxeter Day, Banff, Canada, Aug.3, 2005, pp 463-472. PDF
C. H. Séquin, "Splitting Tori, Knots, and Moebius Bands" BRIDGES Conference, Banff, Canada, Jul.31-Aug.3, 2005, pp 211-218. PDF
C. H. Séquin, "CAD Tools for Aesthetic Engineering," JCAD Vol 37, No 7, pp 737-750, June 2005. LINK
C. H. Séquin, "Rapid Prototyping: A 3D Visualization Tool Takes on Sculpture and Mathematical Forms," Comm. of the ACM, Vol 48, No 6, pp 66-73, June 2005.

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