SCULPTURE DESIGNS and MATH MODELS 
by Carlo H. Séquin

Recent Work: 2015 -2016

• "Costa_G2" (August 2016) - FDM model
  
• "Costa_G1" (August 2016) - FDM model
  
• "Dyck_disk_(Costa_0)" (July 2016) - FDM model
  
• "Perry_Infinity" (May 2016) - FDM model
  
• "Perry_Zero" (April 2016) - FDM model
  
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• "Kommunicating Kones" (June 2016) - FDM model  {Homage to Antal Kelle}
  
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• Super-Bottle: "Connected sum of 3 tori" genus 3 (July 2016) - FDM model
  
• Super-Bottles: "Prism2" genus 3 and genus 6 (July 2016) - FDM model
  
• Super-Bottles: "Prism4_warp" genus 8 (July 2016) - FDM model
  
• Super-Bottles: "Prism4" genus 8 (July 2016) - FDM model
  
• Super-Bottle: "SplitPrism3" genus 14 (July 2016) - FDM model
  
• Super-Bottle: "ORing4" genus 10 (July 2016) - FDM model
  
• Super-Bottle: "AntiPrism2" genus 10 (July 2016) - FDM model
  
• Super-Bottle: "Pointy Bi-Pyramid3" genus 10 (July 2016) - FDM model
  
• Super-Bottle: "Bi-Pyramid3_g10" genus 10 (July 2016) - FDM model
  
• Super-Bottle: "Bi-Pyramid3_g5" genus 5 (July 2016) - FDM model
  
• Super-Bottle: "Connected Sum of two Klein bottles" genus 4 (July 2016) - FDM model
  
• Super-Bottle: "Double Torus" genus 2 (July 2016) - FDM model
  
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• Super-Bottle: "Rhombic Dodecahedron" genus 22 (June 2016) - FDM model
  
• Super-Bottle: "Octahedron" genus 14 (March 2016) - FDM model
  
• Super-Bottle: "Cage432" genus 14 (May 2016) - FDM model
  
• Super-Bottle: "Figure8" genus 14 (May 2016) - FDM model
  
• Super-Bottle: "Oring6" genus 14 (May 2016) - FDM model
  
• Super-Bottle: "Oring5" genus 12 (April2016) - FDM model
  
• Super-Bottle: "Oring3" genus 8 (March 2016) - FDM model
  
• Super-Bottle: "Oring2" genus 6 (March 2016) - FDM model
  
• Super-Bottle: "AntiPyramid4" genus 14 (March 2016) - FDM model
  
• Super-Bottle: "CubeB" genus 10 (February 2016) - FDM model
  
• Super-Bottle: "theBridge" genus 8 (January 2016) - FDM model
  
• Super-Bottle: "WarpPrism3" genus 8 (January 2016) - FDM model
  
• Super-Bottle: "LoopyTetra" genus 6 (January 2016) - FDM model
  
• Super-Bottle: "WarpTetraB" genus 6 (January 2016) - FDM model
  
• Super-Bottle: "WarpTetra" genus 6 (January 2016) - FDM model
  
• Super-Bottle: "Tetra" genus 6 (January 2016) - FDM model
  
• Super-Bottle: "TwoLinks" genus 4 (January 2016) - FDM model
  
• Super-Bottle: "TwoEyes" genus 4 (January 2016) - FDM model
  
• Super-Bottle: "TwoLoops" genus 2 (January 2016) - FDM model
  
• Super-Bottle: "WarpHoso3" genus 4 (January 2016) - FDM model
  
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• "Genus-4 Super-Bottle on stand" (December 2015) - FDM model 6" x 8" x 7"
• "Genus-8 Super-Bottle" (November 2015) - FDM model 10" x 10" x 12"
• "Genus-10 Super-Bottle" (October 2015) - FDM model 12" x 11" x 14"
• "Genus-4 Super-Bottle" (September 2015) - FDM model 6" x 8" x 5"
• "TETRA1-sided, 6-half-twists, with colored edges" (September 2015) - FDM model 8" x 6" x 6"
• "TETRA single-sided; 6-half-twists" (August 2015) - FDM model 8" x 6" x 6"
• "Möbius-Twisted Turk's Head Knot" (L. Larrucea, March 2015) - Latigo leather strips, 5" x 5" x 1"
• "Möbius-Twisted Turk's Head Knot" (March 2015) - Woven paper strips, 6" x 4" x 3"
• "Triply-Twisted Möbius-Twisted Turk's Head Knot" (March 2015) - Printed paper model, 5" x 5" x 2"
• "Möbius-Twisted Turk's Head Knot" (March 2015) - Printed paper model, 6" x 4" x 3"
• "TETRA with 4-half-twists" (February 2015) - FDM model 8" x 6" x 6"
• Emulation of Perry's TETRA sculpture (February 2015) - FDM model 8" x 6" x 6"
• Simulation of Perry's TETRA sculpture (January 2015) - Virtual CAD model

Work 2013 - 2014

• "Tetra-Tangle of Four Bow-Tie Links" (October 2014) - FDM model 9" x 9" x 9"
• "D2-Trefoil (Bridges 2014)" (August 2014) - FDM model 6" x 7" x 7"
• "Modular Borromean Link" (July 2014) - FDM model 6" x 6" x 6"
• "Modular Knot 7_4 " (July 2014) - FDM model 3" x 7" x 9"
• " Modular Knot 5_1" (July 2014) - FDM model 3" x 7" x 7"
• "Modular Figure-8 Knot" (July 2014) - FDM model 6" x 6" x 7"
• "Modular Trefoil Knot" (July 2014) - FDM model 5" x 6" x 6"
• "Modular Figure-8 Loop" (July 2014) - FDM model 2" x 4" x 6"
• "Modular Gabo Curve" (July 2014) - FDM model 4" x 4" x 4"
• "(5,3) BowTie Loop" (June 2014) - FDM model 3" x 6" x 6"
• "(3,4) BowTie Loop" (June 2014) - FDM model 3" x 6" x 6"
• "Cubic Graph Sculpture" (February 2014) - FDM model 4" x 4" x 5"
• "Tetra Graph Sculpture" (February 2014) - FDM model 2" x 4" x 6"
• "Tetrahedral Graph D2-symmetry" (February 2014) - FDM model 4" x 4" x 4"
• " Girl with Curls" (February 2014) - FDM model 4" x 4" x 5"
• " Trees and Corals" (February 2014) - FDM model 3" x 4" x 5"
• "(4,3) BowTie Loop (January 2014) - FDM model 3" x 6" x 6"
• "Pas-de-Deux" (January 2014) - FDM model 8" x 7" x 15"
• "Cocoon" (January 2014) - FDM model 5" x 9" x 5"
• "Borromean_Link(6^3_2)" (January 2014) - FDM model 7"x 7" x 7"
• " Hopf_Link(2^2_1)" (January 2014) - FDM model 4" x 5" x 7"
• " Glowing-Filament" (December 2013) - FDM model 5" x 5" x 7"
• " Striding_O" (December 2013) - FDM model 12" x 6" x 12"
• " Plant#2" (December 2013) - FDM model 4" x 4" x 11"
• " Plant#1" (December 2013) - FDM model 4" x 4" x 11"
• " Figure-8_Knot_(4_1)" (December 2013) - FDM model 8" x 8" x 8"
• " Trefoil_Knot_(3_1)" (December 2013) - FDM model 7" x 7" x 4"
• "Helix_Un-Knot" (December 2013) - FDM model 5" x 6"x  7"
• " LEGO-Knot_Helix" (December 2013) - FDM model 5" x 5" x 6"
• " 4-Lobe-Borsalino" (November 2013) - FDM model 9" x 6" x 2"
• " Double-S_Cluster" (November 2013) - FDM model 5" x 3" x3"
• " Twisted Borsalino" (November 2013) - FDM model 7" x 5" x 3"
• " Klein bottle split into two interlinked Moebius bands" (October 2013) - FDM model 8" x 6" x 2"
• Constructing the "Cubist Girl-Surface" (July 2013) - Paper models
• Understanding the "Girl-Surface" (July 2013) - various models, pipe-cleaners, paper, plastic
• " Octa-Boy-Surface" (July 2013) - FDM model 6" x 6" x 6"
• " Boy_Mug" (July 2013) - FDM model 6" x 6" x 6"
• " Boy-Cap_Beenie" (July 2013) - Wool, knitted by Margareta Sequin, 6" x 6" x 9"
• " Cubist Boy-Cap on a Mirror" (July 2013) - Paper model 8" x 8" x 4"
• " Boy-Cap" (July 2013) - FDM model 5" x 5" x 2"
• " Evolving Trefoil" (February 2013) -  10-foot diameter polyresin and fiberglass sculpture, Missouri Western State University, St Joseph, MO.
• "Music of the Spheres" (January 2013)",  - 10-foot tall ronze sculpture, Missouri Western State University, St Joseph, MO.
• "Music of the Spheres" (January 2013)", (With Brent Collins and Steve Reinmuth) - 10-foot tall bronze sculpture, Missouri Western State University, St Joseph, MO.

Work 2011-2012

• " 125 Terahedra in 25 projected 5-Cells", (November  2012) - FDM model, 7" x 7" x 7" -- Celebrating the 125th Anniversary of the American Mathematical Society.
• " Double-Boy-Klein-Bottle" (October 2012) - FDM model, 7" x 7" x 7"
• "Trefoil_Knottle_2" (July 2012) - FDM model, 8" x  8" x 3"
• " Pillar of Engineering" (installed May 2012), sponsored by Paul Suciu - 7-foot tall granite sculpture on the terrace of Sutardja Dai hall, UC Berkeley.
• "Zig-Zag Klein Bottle" (May 2012) - FDM model, 6" x  6" x 6"
• " TorusTransformation (April 2012) - FDM model, 7" x  6" x 5"
• Hemi-Icosahedron (March 2012) - modular cardboard model, 10" diameter.
• "Trefoil Knottle" (February 2012) - FDM model, 8" x  8" x 3"
• "Krazy Kosmos of Klein Knottles", (February 2012) - Computer rendering.
• "Klein Bottle of type K8JJ" (Jan 2012) - FDM model, 8" x  3" x 5"
• Symmetrical Half-way Point for Torus Eversion (November 2011) - 3D-print by Zcorp, 6" x 5.5" x 4"
• Lawson's Minimum-Energy Klein Bottle (December 2011) - FDM model, 9" x 6" x 4.5" -- 3rd prize at the AMS annual exhibition of Mathematical Art, Jan, 2012.
• Gridded Cube Dissection Puzzle (December 2011) - FDM model, 5" x 5" x 5"
• 4-Finger Spiral Hyperboloid Dissection (December 2011) - FDM model, 2" x 2" x 4"
• 3-Finger Spiral Barrel Dissection (December 2011) - FDM model, 2" x 2" x 4"
• Helicoidal Cube Trisection (November 2011) - FDM model, 3" x 3" x 3"
• Helicoidal Tetrahedron Dissection (November 2011) - FDM model, 3" x 3" x 3"
• Hemi-Icosahedron (July 2011) - FDM model, 4" diameter.

Work 2010-2011

• Augmented Rhombicuboctahedron (June 2011) - Cardboard, 14" diameter.
  
• Augmented Pseudo-Rhombicuboctahedron (June 2011) - Cardboard, 14" diameter.
  
• Decremented Rhombicuboctahedron (June 2011) - Cardboard, 10" diameter.
• "Wild and Wonderful Tori 2", (June 2011) - Computer rendering.
  
• "Wild and Wonderful Tori 1", (March 2011) - Computer rendering.
  
• "Internally Knotted Figure-8 Torus" (March 2011) - FDM model, 8" x 6" x 6".
• "Evolving Trefoil" (January 2011) - FDM model, 7" diameter.
  
• "Torus Knot-5-3 (version 2)" (August 2010) - Bronze, 16" tall. -- This sculpture won 2nd prize at the AMS annual exhibition of Mathematical Art, Jan, 2011.
  

Work 2009-2010

• "Torus Knot (5,3)" (May 2010) - Bronze, 16" tall.
• "Knot7-7" (April 2010) - FDM model, 7" tall.
• "Trefoil Standing on its Own Feet" (April 2010) - FDM model, 4" tall.
• "Aurora Borealis" and "Aurora Australis" (February 2010) - bronze, 16" tall.
• "Knot6-1" (February 2010) - FDM model, 5" tall.
• Regular Map R3.5-{4,8} (January 2010) - paper, 4" diameter.
  
• Regular Map R3.3-{3,12} (November 2009) - paper, 4" diameter.
  
• "Scherk-Tower" (October 2009) - bronze, 10" tall, new surface.
  
• "Dodecahedral Volution" (October 2009) - bronze, 5" tall, new surface.
• "Poincaré Double_Lace" (September 2009) - canvas print, 18" square.
• Regular Map R5.16-{20,20} (August 2009) - computer rendering.
• "Aurora3 (master geometry)" (July 2009) - FDM, 16" tall.

Work 2008-2009

• "Totem-4M" (June 2009) - bronze, 13" tall.
• "Cube-Volution-5" (June 2009) - bronze, 6" cube.
• "Knot5-2" (May 2009) - FDM model, 5" tall.
• "Various Knot models" (May 2009) - FDM models, 3-4" diameter.
• "Regular Maps on Cube Frames" (April 2009) - Printed Paper, 4" cube.
• "Escher-Tiles_3D" (March 2009) - FDM models, 2.5" each.
• "Escher-Tiles_2.5D" (March 2009) - FDM models, 2.5" each.
• "Hyperbolic Hexagon II" (February 2009) (With Brent Collins and Steve Reinmuth) - bronze, 30" diameter.
• "Totem4M" (November 2008) - 11" tall FDM model.
• "TorusKnot5-3" (November 2008) - FDM model, 6" tall.

Work 2007-2008

• "Annual EuroGraphics Awards" (March 2008) - bronze, 8" tall.
• "MetroPolis" (January 2008) - assembly of FDM parts, 5" tall.
• "Honeycomb" (January 2008) - assembly of FDM parts, 7" tall.
• "Figure-8 Knot" (December 2007) - bronze, 9" tall.
• "Totem4" (December 2007) - bronze, 11" tall.
• "Chinese Button Knot" (December 2007) - bronze, 8" tall.
• "SolarCircle" (November 2007) - 10-foot diameter polyresin and fiberglass ring; aka "Millennium Arc", Matt Ross Community Center, Overland Park, Kansas City.
• 10-segment ring-tile and 10-Torotile Lattice (November 2007) - 3" FDM model
  
• 6-segment ring-tile and 6-Torotile Lattic (November 2007) - 3" FDM model
• 4-segment ring-tile and 4-Torotile Lattic (October 2007) - 2" FDM model
• "Recursive Figure-8 Knot" (October 2007) - 4" tall FDM model.
  
• "Scherk-Tower" (September 2007) - bronze, 10" tall.
  
• "Dodecahedral Volution" (September 2007) - bronze, 5" tall.
  
• "The 4-dimensional 11-Cell" (August 2007) - Virtual computer model; -- selected for the "2008 Calendar of Mathematical Imagery".
• "Totem4" (August 2007) - 11" tall FDM model.
• "Hemi-Icosahedron" (July 2007) - 5" tall FDM model.
• "Chinese Button Knot" (July 2007) - 6" tall FDM model.
• "Quad_Rose" (July 2007) - 7" tall FDM model.

Work 2006-2007

• "Ribbed Hemicube" (June 2007) - 5" tall FDM model.
• "Icosahedral Orbits" (May 2007) - 4" diam. FDM model.
• "Dodecahedral Orbits" (May 2007) - 4" diam. FDM model.
• "Twisted Scherk Tower" (February 2007) - 10" tall FDM model.
• "Pax Mundi II" (January 2007) (With Brent Collins and Steve Reinmuth) - 10-foot tall bronze sculpture, H&R Block Headquarters, Kansas City.
  More installation pictures here -- and Pax Mundi II six months later.
  
• "Trinity" - 'Reconfigurable Sculpture' (December 2006) - 3" tall FDM model.
• "Spiral Surface 2" (November 2006) - 4.5" tall FDM model.
• "Pax Mundi 2" (October 2006) - 7" tall FDM model for a 10-foot tall bronze sculpture to be installed in Kansas City.
• "Trefoil Trisection" - Closed -- Open1 -- Open2 -- Open3 -- (September 2006) - FDM model, 5" diam.
• "Separable Trefoil" - Closed -- Open -- (September 2006) - FDM model, 4" diam.
• "High-Res. Lizard Tetrus" (August 2006) - Virtual computer model (with Pushkar Joshi) -- selected for the cover of the "2007 Calendar of Mathematical Imagery" of the American Mathematical Society.
  

Work 2005-2006

• "Equatorial Weave on the {3,7} Tetroid" (June 2006) - FDM assembly, 6" tall.
• "Poincaré Double_Lace" (June 2006) - 2D print, 16" diam.
• "Poincaré Lace" (June 2006) - 2D print, 16" diam.
• "Poincaré FishDish" (May 2006) - 2D print, 16" diam.
• "Tetrus with Bird Bas-Relief" (May 2006) - Virtual computer model (with Steven An).
• "48Bird Tetrus" (April 2006) - Virtual computer model.
• "Lizard Tetrus" (April 2006) - Virtual computer model.
• "Ribbon Tetrus" (April 2006) - Fused deposition model, 4" tall.
• "Tetroid assembled from 12 double heptagons" (March 2006) - FDM assembly, 3.5" tall.
• "Tetroid with 56 Triangles, 8 colors" (February 2006) - FDM model, painted, 3.54" tall.
• "Tetroid with 24 Heptagons, 8 colors" (February 2006) - FDM model, painted, 4" tall.
• "Tetroid with 24 Heptagons, 6 colors" (January 2006) - FDM assembly, 4" tall.
• "IcoVol" (October 2005) - Bronze, 6" diam.
• "Hilbert_512_3D" (July 2005) -  Stainless Steel and Bronze, 5"-cube.
  
• "Congruent Hamiltonian Cycles on the 120-Cell" (July 2005) - 3D-Print, 6" diam.

Work 2004-2005

• "Borromean Torus" (June 2005) - 3D-Print, 4" diam.
• "DodecaHamCycle2" (June 2005) - 3D-Print, 5" diam.
• "K8_19HexTangle" (June 2005) - 3D-Print, 5" diam.
• "Icosahedral Volution Shell W-6T" (June 2005) - FDM, red, 3" diam.
• "Icosahedral Volution Shell W-4T" (June 2005) - 3D-Print, 4" diam.
• "Icosahedral Volution Shell J711-2T" (June 2005) - 3D-Print, 4" diam.
• "DodecaHamCycle2" (May 2005) - FDM yellow, 3" diam.
• "DodecaPentafoil Tangle" (April 2005) - Sintered Metal, 3.5" diam.
• "Arabic Icosahedron" (April 2005) - 3D-Print, 5" diam.
• "OctaTrefoil Cluster" (March 2005) - 3D-Print, 4" diam.
• "Alter-Alterknot" (Feburary 2005) - FDM Yellow, 4" diam.
• "TetraTrefoil Cluster" (Feburary 2005) - 3D-Print, 4" diam.
• "TetraTrefoil Tangle" (Feburary 2005) - FDM Black, 3.5" diam.
• "Triply Split Trefoil" (Feburary 2005) - FDM Yellow, 3.5" diam.
• "Tangle of Two Trefoils" (Feburary 2005) - FDM red, 3.5" diam.
• "Borromean Torus" (February 2005) - FDM, multiple colors, 4" diam.
• "Triply Twisted Moebius Space" (February 2005) - FDM, red + black paint, 4" diam.
  
• "Knot Divided" (January 2005) - Snow Sculpture, 12feet tall
• "Hex-split Torus" (January 2005) - FDM white, 4" diam.
• "Costa Surface in a Cube" (December 2004) - Bronze, 2 patinas, 5"x5"x5"
• "Icosahedral Volution Shell W-4T" (November 2004) - FDM, green, 3.5" diam.
• "Icosahedral Volution Shell - Scher4T" (October 2004) - FDM white, 3" diam.
• "Hamiltonian Bisections of the Platonic Solids" (Octobber 2004) - FDM, multiple colors
• "Double Hamiltonian Cycle" (September 2004) - 3D-Print, 8" tall
• "Dodecahedral Hamiltonian Cycle" (September 2004) - FDM Black, 3" diam.
• "Icosahedral Volution Shell Genus 2" (September 2004) - FDM, blue-white 3" diam.
• "Dodecahedral Volution Shell Genus 2" (September 2004) - 3D-Print, 4" diam.
• "Dodecahedral Volution Shell Genus 0" (September 2004) - FDM red, 2" diam.
• "Totem 3" (September 2004) - Bronze, 13" tall
• "Volution's Evolution" (August 2004) - 3 bronzes, 5" cubes

Work 2003-2004

• "K12 Graph on Genus-6 Surface" (June 2004) - 3D print, painted, 5"diam.
• "Genus-6 Kandinsky Surface" (June 2004) - 3D print, painted, 5"diam.
• "Congruent forming Double Volution Shell" (May 2004) - 3D-Print, 5" diam.
• "3 Hamiltonian Paths on 4D Cross Polytope" (May 2004) - 3D-Print, 5" diam.
• "Congruent Paths on 4D Simplex" (May 2004) - 3D-Print, 3" diam.
• "Congruent Paths on Dodecahedral Double Shell" (May 2004) - 3D-Print, 3.5" diam.
• "Sphere Eversion - Stage 5" (March 2004) - 3DcolorPrint, 6" wide {with Alex Kozlowski}
• "Sphere Eversion - Stage 3" (March 2004) - 3DcolorPrint, 7" tall {with Alex Kozlowski}
• "Defying Gravity" (February 2004) - FDM, white, 5"x5"x7.5"tall.
• "Solar Arch" (December 2003) - Bronze, 12" diam.
• "Whirled White Web" (December 2003) - Bronze, 6" tall
• "Volution_5" (December 2003) - Bronze, 5" cube
• "Volution_0" (December 2003) - Bronze, 5" cube
• "Altamont" (December 2003) - Bronze, 4.5" diam.
• "Introverted Snowball" (November 2003) - 3DPrint, 6" tall
• "MorinMesh-Red/Green" (October 2003) - 3DcolorPrint, 5" tall {with Alex Kozlowski}
• "MorinGrid" (September 2003) - 3DPrint, 4" tall
• "Volution_5" (September 2003) - FDM white, 5" cube
• "Volution_0" (August 2003) - FDM white, 5" cube
• "Maloja" (August 2003) - Bronze, 4.2" diam.
• "Infinit Duality" (August 2003) - another view - Bronze, 3" diam

Selected Older Pieces

• "Volution_1" (June 2003) - Bronze, 5" cube
• "Gabo2X" (April 2003) - FDM white, 4" diam.
• "Antipodal Trefoil Knot" (April 2003) - FDM yellow, 3" diam.
• "Perspective Projection of the 600 cell" (March 2003) - 3DPrint, 8" diam. {with Mike Pao}
• "Cohesion" (2002) - Bronze, 12"
• "Galapagos-6" (2001) - FDM, white, 8" tall
• "Bonds of Friendship" (2001) - FDM, 10" tall
• "Moebius Space" (2000) - FDM black + silver paint, 4.2" diam.
• "Homage to Max Bill" (2000) - FDM translucent orange, 3.5" diam.
• "Solar Arch" (1998) - FDM white, 10" diam.

More Work, Sorted by Type

Roads on the Globe:

Max Bill Spheres:

Moebius Structures:

Scherk Collins Toroids:

Polytopes:

Math Surfaces:

Knots and Tangles:

Escher Spheres:

Large Knots, Pre_1997: