Embedded Files
The 3D prints showcased here are the latest (2024–present) in my sculptural explorations, marking a deep dive into the intersection of mathematics and 3D printing. I employ STEAM CAD—my mathematical design system—alongside the Great Stella CAD program by Robert Webb for graphic design and Bambu Studio software with the X1 Carbon printer to bring my mathematical models and sculptures to life. This three-step design-to-print process is explored in detail in my forthcoming book, Redesigning Geometry for 3D Printing: An Introduction to STEAM CAD.
For over 750 free mathematically inspired models, toys, kits, crafts, and artworks ready for download and 3D printing, visit my Thingiverse page at: Designs - Thingiverse .
3D Print: Dorozinski Star Truncated Icosahedron
3D Print: Dorozinski Star Truncated Icosahedron
designer: Tadeusz Dorozinski
3D Print: Stewart Star Icosahedron
3D Print: Stewart Star Icosahedron
design components: dodecahedra, J63s, pyramids
3D Print: Star Dodecacosahedron
3D Print: Star Dodecacosahedron
design components: pyramids
3D Print: Roelofs Star Dodecahedral Polyknot
3D Print: Roelofs Star Dodecahedral Polyknot
design components: triangles, squares, pentagons
3D Print: Kepler Star Dodecahedral Polyannuloid
3D Print: Kepler Star Dodecahedral Polyannuloid
design components: pyramids
3D Print: Kepler-Roelofs Dodecahedral Polyknot
3D Print: Kepler-Roelofs Dodecahedral Polyknot
design components: triangles, squares, pentagons
3D Print: Da Vinci elevated icosahedron
3D Print: Da Vinci elevated icosahedron
design components: triangles
3D Print: Hart Dodecahedral Polyknot
3D Print: Hart Dodecahedral Polyknot
design components: triangles, squares, pentagons
3D Print: Escher Icosahedral Polyknot
3D Print: Escher Icosahedral Polyknot
design components: triangles
3D Print: Escher Dodecahedral Polyknot
3D Print: Escher Dodecahedral Polyknot
design components: triangles, squares, pentagons
3D Print: Roelofs Tetrahedral Polyknot
3D Print: Roelofs Tetrahedral Polyknot
design components: triangles
3D Print: Roelofs Octahedral Polylink
3D Print: Roelofs Octahedral Polylink
design components: triangles
3D Print: Roelofs Cubic Polyknot
3D Print: Roelofs Cubic Polyknot
design components: triangles
3D Print: Roelofs Dodecahedral Polyknot
3D Print: Roelofs Dodecahedral Polyknot
design components: triangles
3D Print: Roelofs Dodecahedral Polyknot
3D Print: Roelofs Dodecahedral Polyknot
design components: triangles
3D Print: Roelofs Cubic Polyknot
3D Print: Roelofs Cubic Polyknot
design components: squares
3D Print: Roelofs Tetrahedral Polyknot
3D Print: Roelofs Tetrahedral Polyknot
design components: triangles
3D Print: Escher Tetrahedral Polyknot
3D Print: Escher Tetrahedral Polyknot
design components: triangles
3D Print: Escher
3D Print: Escher
Cubic Polyknot
Cubic Polyknot
design components: triangles
3D Print: Escher
3D Print: Escher
Dodecahedral Polyknot
Dodecahedral Polyknot
design components: triangles
3D Print: Holden
3D Print: Holden
Icosidodecahedral Polysurface
Icosidodecahedral Polysurface
design components: pentagons
3D Print: Holden Truncated Icosidodecahedral Polysurface
3D Print: Holden Truncated Icosidodecahedral Polysurface
design components: squares, pentagons
3D Print: Fathauer-Stewart Walkable
3D Print: Fathauer-Stewart Walkable
Pentafoil Knot
Pentafoil Knot
design components: cubes, pentagonal prisms
3D Print: Fathauer-Stewart
3D Print: Fathauer-Stewart
Walkable
Walkable
Decafoil Knot
Decafoil Knot
design components: cubes, penatgonal prisms, decagonal prisms
3D Print: Fathauer Walkable Topographical
3D Print: Fathauer Walkable Topographical
HandleKnot
HandleKnot
design components: cubes, penatgonal prisms
3D Print: Cylinder Trefoil Knot
3D Print: Cylinder Trefoil Knot
design components: squares, hexagonal prisms
3D Print: Stewart-Brunnian Link
3D Print: Stewart-Brunnian Link
design components: cubes, heptagonal prisms
3D Print: Stewart
3D Print: Stewart
Star Dodecahedral Polytoroid
Star Dodecahedral Polytoroid
design components: penatgonal prisms, dodecahedra
3D Print: Stewart
3D Print: Stewart
Cuboidal Polytoroid
Cuboidal Polytoroid
design components: hexagonal prisms, octagonal prisms, truncated cuboctahedra
3D Print: Stewart-Borromean Link
3D Print: Stewart-Borromean Link
design components: cubes, dodecagonal prisms
3D Print: Stewart
3D Print: Stewart
Rhombic Traicontahedral Polytoroid
Rhombic Traicontahedral Polytoroid
design components: decagonal prisms, truncated icosidodecahedra
3D Print: Holden Cuboctahedral Monosurface
3D Print: Holden Cuboctahedral Monosurface
design components: triangles
3D Print: Webb Dodecahedral Polyknot
3D Print: Webb Dodecahedral Polyknot
designer: Robert Webb
3D Print: Holden Tetrahedral Monosurface
3D Print: Holden Tetrahedral Monosurface
design components: squares
3D Print: Kepler Star Dodecahedral Polyannuloid
3D Print: Kepler Star Dodecahedral Polyannuloid
design components: squares, pentagons, pyramids
3D Print: Kepler-Brunnian Link
3D Print: Kepler-Brunnian Link
design components: cubes, hexagonal prisms
3D Print: Assembled Holden Cuboctahedral Polysurface Kit
3D Print: Assembled Holden Cuboctahedral Polysurface Kit
design components: hexagons
3D Print: Kepler Star Dodecahedral Polyannuloid
3D Print: Kepler Star Dodecahedral Polyannuloid
design components: pentagons, pyramids
3D Print: Holden Tetrahedral Polysurface
3D Print: Holden Tetrahedral Polysurface
design components: squares
3D Print: Holden Rhombicuboctaherdal Polysurface
3D Print: Holden Rhombicuboctaherdal Polysurface
design components: squares, triangles
3D Print: Holden Truncated Icosahedral Polysurface
3D Print: Holden Truncated Icosahedral Polysurface
design components: squares, pentagons
3D Print: Holden Golden Dodecahedral Polysurface
3D Print: Holden Golden Dodecahedral Polysurface
design components: rectangles, triangles
3D Print: Holden Truncated Cuboctahedral Polysurface
3D Print: Holden Truncated Cuboctahedral Polysurface
design components: squares, octagons
3D Print: Holden Truncated Octahedral Polysurface
3D Print: Holden Truncated Octahedral Polysurface
design components: squares, hexagons
3D Print: Holden Golden Rhombicosi-dodecahedral Polysurface
3D Print: Holden Golden Rhombicosi-dodecahedral Polysurface
design components: retangles, triangles
3D Print: Holden Truncated Dodecahedral Polysurface
3D Print: Holden Truncated Dodecahedral Polysurface
design components: squares, pentagons
3D Print: Fathauer- Stewart Walkable Pentafoil Knot
3D Print: Fathauer- Stewart Walkable Pentafoil Knot
design components: cubes, pentagonal prisms
3D Print: Stewart Tricyclic Spiral
3D Print: Stewart Tricyclic Spiral
design components: octagons, hexagonal antiprisms
3D Print: Roelofs Bicyclic Link
3D Print: Roelofs Bicyclic Link
design components: cubes, triangular prisms
3D Print: Stewart-Borromean Link
3D Print: Stewart-Borromean Link
design components: triangular prisms, hexagonal prisms
3D Print: Fathauer-Stewart Walkable Topographical Pentafoil Knot
3D Print: Fathauer-Stewart Walkable Topographical Pentafoil Knot
design components: cubes, pentagonal prisms
3D Print: Stewart 14-Crossing Knot
3D Print: Stewart 14-Crossing Knot
design components: cubes, heptagonal prisms
3D Print: Kepler-Mobius Monosurface
3D Print: Kepler-Mobius Monosurface
design components: squares, hexagons
3D Print: Fathauer-Stewart Walkable Decafoil Tower Knot
3D Print: Fathauer-Stewart Walkable Decafoil Tower Knot
design components: cubes, pentagonal prisms, decagonal prisms
3D Print: Stewart Pentacyclic Spiral
3D Print: Stewart Pentacyclic Spiral
design components: octagons, pentagonal antiprisms
3D Print: Stewart-Brunnian Tricyclic link
3D Print: Stewart-Brunnian Tricyclic link
design components: cubes, pentagonal prisms, pentadecagonal prisms
3D Print: Fathauer-Stewart Walkable Heptafoil Knot
3D Print: Fathauer-Stewart Walkable Heptafoil Knot
design components: cubes, heptagonal prisms
3D Print: Fathauer-Stewart Walkable 21- Crossing Castle Knot
3D Print: Fathauer-Stewart Walkable 21- Crossing Castle Knot
design components: cubes, heptagons
3D Print: Roelofs Bicyclic Link
3D Print: Roelofs Bicyclic Link
design components: cubes, hexagonal prisms
3D Print: Stewart Braid
3D Print: Stewart Braid
design components: cubes, hexagonal prisms
3D Print: Stewart Braid
3D Print: Stewart Braid
design components: pentagonal prisms
3D Print: Stewart Decacyclic Epispiral
3D Print: Stewart Decacyclic Epispiral
design components: octahedra, pentagonal antiprisms
3D Print: Fathauer-Stewart Walkable Icosafoil Knot
3D Print: Fathauer-Stewart Walkable Icosafoil Knot
design components: cubes, pentagonal prisms, decagonal prisms
3D Print: Stewart Dodecahedral Polyknot
3D Print: Stewart Dodecahedral Polyknot
design components: cubes, truncated icosahedra
3D Print: Roelofs Cubic Polyknot
3D Print: Roelofs Cubic Polyknot
design components: squares
3D Print: Fathauer-Stewart Walkable Star Pentafoil Knot
3D Print: Fathauer-Stewart Walkable Star Pentafoil Knot
design components: cubes, decagonal prisms
3D Print: Roelofs Octahedral Polylink
3D Print: Roelofs Octahedral Polylink
design components: triangles
3D Print: Stewart Quasi-Truncated icosahedral Polytoroid
3D Print: Stewart Quasi-Truncated icosahedral Polytoroid
design components: J63s, dodecahedra
3D Print: Kepler-Holden Cubic Polylink
3D Print: Kepler-Holden Cubic Polylink
design components: squares, octagons
3D Print: Fathauer-Stewart Walkable Pentafoil Knot
3D Print: Fathauer-Stewart Walkable Pentafoil Knot
design components: cubes, pentagonal prisms
3D Print: Stewart Epicycloid Link
3D Print: Stewart Epicycloid Link
design components: hexagonal prisms
3D Print: Fathauer-Stewart-Fathauer Walkable Trefoil Knot
3D Print: Fathauer-Stewart-Fathauer Walkable Trefoil Knot
design components: cubes, hexagonal prisms
3D Print: Stewart Link
3D Print: Stewart Link
design components: hexagonal prisms
3D Print: Stewart Trefoil Knot
3D Print: Stewart Trefoil Knot
design components: cubes, hexagonal prisms
3D Print: Stewart Concave and Convex Topographical Box
3D Print: Stewart Concave and Convex Topographical Box
design components: cubes, pentagonal prisms
3D Print: Holden Cuboctahedral Monosurface
3D Print: Holden Cuboctahedral Monosurface
design components: hexagons
3D Print: Cylinder Pentafoil Knot
3D Print: Cylinder Pentafoil Knot
design components: squares, pentagonal prisms
3D Print: Stewart-Brunnian Link
3D Print: Stewart-Brunnian Link
design components: cubes, hexagonal prisms
3D Print: Icosidodecahedral Polytoroid
3D Print: Icosidodecahedral Polytoroid
design components: points, lines
3D Print: Stewart Star Pentafoil Knot
3D Print: Stewart Star Pentafoil Knot
design components: cubes, pentagonal prisms
3D Print: Icosidodecahedral Polytoroid
3D Print: Icosidodecahedral Polytoroid
design components: lines
3D Print: Fathauer-Stewart Walkable Decafoil Castle Knot
3D Print: Fathauer-Stewart Walkable Decafoil Castle Knot
design components: cubes, pentagonal prisms
3D Print: Fathauer-Stewart Walkable Pentafoil Tower Knot
3D Print: Fathauer-Stewart Walkable Pentafoil Tower Knot
design components: cubes, pentagonal prisms
3D Print: Fathauer-Stewart Walkable Nonacyclic knot
3D Print: Fathauer-Stewart Walkable Nonacyclic knot
design components: cubes, nonagonal prisms
3D Print: Fathauer-Stewart Walkable Link
3D Print: Fathauer-Stewart Walkable Link
design components: cubes, pentagonal prisms
3D Print: Fathauer-Stewart Walkable Topographical Braid
3D Print: Fathauer-Stewart Walkable Topographical Braid
design components: cubes, hexagonal prisms
3D Print: Dodecahedral Crinklehedron
3D Print: Dodecahedral Crinklehedron
design components: pentagons
3D Print: Webb Rhombic Dodecahedral Polyknot
3D Print: Webb Rhombic Dodecahedral Polyknot
designer: Robert Webb
3D Print: Fathauer-Stewart Walkable Trefoil Knot
3D Print: Fathauer-Stewart Walkable Trefoil Knot
design components: cubes, hexagonal prisms
3D Print: Kafka's Castle
3D Print: Kafka's Castle
design components: cubes, octagonal prisms
3D Print: Fathauer-Stewart Walkable Pentafoil Knot
3D Print: Fathauer-Stewart Walkable Pentafoil Knot
design components: cubes, pentagonal prisms
3D Print: Fathauer-Stewart Walkable Pentafoil Knot
3D Print: Fathauer-Stewart Walkable Pentafoil Knot
design components: cubes, decagonal prisms
3D Print: 13 Archimedean Polytoroids
3D Print: 13 Archimedean Polytoroids
design components: lines
3D Print: 5 Platonic Polytoroids
3D Print: 5 Platonic Polytoroids
design components: lines
3D Print: Cyclinder Pentagram Knot
3D Print: Cyclinder Pentagram Knot
design components: squares
3D Print: Fathauer Walk About Knot
Designer: Robert Fathauer
3D Print: Fathauer Walk About Knot
Designer: Robert Fathauer
3D Print: Szillassi Polyhedron
3D Print: Mobius Torus Designer: smithjohn100
on Thingiverse: https://www.thingiverse.com/thing:4931200
3D Print: Cross Cap
design components: squares
3D Print: Holden Tetrahedral Polylink
Designer
Emma_Frch on Thingiverse: https://www.thingiverse.com/thing:5878336
3D Print: Borromean Triple Gear
Designer: Henry Segerman
Thingiverse: https://www.thingiverse.com/thing:79310
3D Print: Optimized Rolling Knot
Designer: Laura Taalman
3D Print: Stick Trefoil Knot
Designer: Laura Taalman
3D Print: Fathauer Walk About Borromean Rings
Designer: Robert Fathauer
3D Print: Seifert-Borromean Surface
Designer: Elizebeth Denne
3D Print: Star Walkabout Knot
Designer: Robert Fathauer
3D Print: Webb Icosahedral Polyknot
Designer: Robert Webb
3D Print: Stellated Pentagonal Icositetrahedron 2
Designer: Robert Webb
3D Print: Stellated Pentagonal Icositetrahedron 3
Designer: Robert Webb
3D Print: Stellated Pentagonal Icositetrahedron 4
Designer: Robert Webb
3D print: Kepler dodecahedral handlehedron
design components: pentagons
3D print: Roelofs star cubic polyknot
design components: squares, pyramids
3D print: Girih dodecahedral polytoroid
design components: lines
3D print: Girih cubic polytoroid
design components: lines
3D print: Stewart star dodecahedral polytoroid
design components: J92s, J5s, cubes, decagonal pyramids
3D print: Stewart star triacontahedron
design components: pentagonal prisms, pentagonal antiprisms, J5s, decagonal pyramids
3D print: Escher icosahedral polyknot
design components: pentagons, triangles
3D print: Stewart epicycloid penholder
design components: cubes, hexagons
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