162 models
This collection includes one Escher octahedral polylink and the other four are polyknots. They have knots at each vertex of the base polyhedron from which they are derived corresponding to its vertex configuration. For example, the…
This collection includes one Roelofs octahedral polylink and the other four are polyknots. They have knots at each vertex of the base polyhedron from which they are derived corresponding to its vertex configuration. For example, the…
C-Hinge Assembly for Polyknot Construction The components for building a new class of entangled geometric structures. A polyknot is a structure that combines the topology of knots and links with the geometry of polyhedra — organizing…
This is a 36 part math inspired building kit named for artist MC Escher. you will need 6 offset square tiles 6 square offset pyramids 24 connecting rods z-axis settings: tiles: 4mm rods: 4mm pyramids: 29mm
An Escher dodecahedral polyknot ideal for a desktop sculpture for home or office. recommendation: minimum z-axis setting 125mm
a polyknot inspired by the mathematical artists Dan Suttin.
I have not printed these, but I imagine them to be torture tests for any 3D printer. Based on other polyknots I've printed, I would suggest a z-axis setting of no less than 125mm and tree supports.
These are complex models and will be a torture test for any 3D printer. I have not printed them. Based on other polyknots I've printed, I would recommend a z-axis setting of no less than 125mm and tree supports.
these are 3D polyknots modeled on the prisms and inspired by MC Escher. recommended tree supports and z-axis setting of at least 60mm.
With these four components you can make three different Escher polyknots and a polylink. The Escher dodecahedral polyknot component will come later. The triangle Archipanel and square Archipanel by jdanders are included for convenience…
This collection of the Roelofs-Catalan polyknots will challenge any 3D printer. Recommendations: z-axis setting 125+mm Tree supports.
all 5 of the Escher-Platonic polyknots Key to the polyknots P1: tetrahedron P2 octahedron P3: cube P4: dodecahedron P5: icosahedron Category: Math Art
a polyknot inspired by MC Escher Category: Math Art
a polyknot inspired by MC Escher Category: Math
This is a 3 layer cubic polyknot inspired by mathematical artist Rinus Roelofs.
a nested polyknot inspired by MC Escher Category: Math Art
a polyknot inspired by MC Escher Category: Math Art
a polyknot inspired by MC Escher Category: Math
There are 8 remixes of archipanels: 6 pyramids and 2 C hinges that can be used to make mechanical polyknots. C-Hinge Assembly for Polyknot Construction See 2 in action at: https://www.youtube.com/watch?v=kQpTj5Hh89M…
These polyknots will challenge any 3D printer. recommendations: z-axis setting 125+mm tree supports.
an elevated polyknot inspired by the elevated polyhedra of Leonardo da Vinci Category: Math Art
A polyknot inspired by MC Escher. I recommend at least a 150 mm z-axis setting to allow for post print support removal. I used tree supports with good result. Category: Math Art
a remastered Roelofs tetrahedral polyknot inspired by internationally renowned mathematical artists Rinus Roelofs Category: Math Art
a star polyknot inspired by Rinus Roelofs recommendations: z-axis setting: 125mm+ tree supports comments: simple post print processing Category: Math Art
a start dodecahedral polyknot Category: Math Art
a polyknot inspired by MC Escher Category: Math
a polyknot inspired by MC Escher Category: Math
these are 3D knots with antiprism symmetries. it is recommended that the z-axis setting be 50mm or greater and that tree supports be used.
All 92 Escher-Johnson polyknots inspired by MC Escher and modeled on the Johnson solids. Complete set Key to the Escher-Johnson polyknots: J1: square pyramid J2: pentagonal pyramid J3: triangular cupola J4: square cupola J5: pentagonal…
an icosahedral polyknot inspired by Rinus roelofs Category: Math Art
a polyknot inspired by Bathsheba Grossman Category: Math Art
a polyknot inspired by George Hart Category: Math Art
a polyknot inspired by MC Escher Category: Math Art
a polyknot inspired by MC Escher Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a polyknot inspired by MC Escher Category: Math Art
a polyknot inspired by MC Escher Category: Math
a polyknot inspired by MC Escher Category: Math
a polyknot inspired by MC Escher Category: Math
These are 3D knots with prism symmetries: triangular to decagonal prisms (less the cubic polyknot) are represented. Recommended with tree supports and a z-axis setting of at least 60mm.
a polyknot and a polylink inspired by BM Stewart Category: Math Art
a star polyknot inspired by Rinus Roelofs Category: Math Art
a star polyknot inspired by Rinus Roelofs Category: Math Art
a star polyknot inspired by mathematical artist Rinus Roelofs Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a polyknot inspired by George Hart Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a collection of 5 polyknots inspired by MC Escher Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math
a polyknot inspired by Johannes Kepler Category: Math Art
a polyknot inspired by Rinus Roelofs and Johannes Kepler Category: Math Art
a polyknot inspired by Rinus Roelofs and Johannes Kepler Category: Math Art
a polyknot inspired by BM Stewart
a cubic polyknot inspired by BM STewart Category: Math
These polyknots like all polyknots are knots with polyhedral symmetries or in this case asymmetries. To calculate the crossing numbers for these 3D knots, multiply the number of vertices of the base polyhedron by its vertex configuration.…
5 of the infinite Roelofs-Prism polyknots key to the polyknots PR3: triangular prism PR5: pentagonal prism PR6: hexagonal prism PR7: heptagonal prism PR8: octagonal prism Category: Math Art
all 5 of the Roelofs-Platonic polyknots inspired by Rinus Roelofs and modeled on the Platonic Solids Key to the polyknots P1: tetrahedron P2: cube P3: octahedron (polylink) P4: dodecahedron P5: icosahedron Category: Math Art
5 of the infinite antiprismic polyknots key to the polyknots AP 1: square antiprism AP2: pentagonal antiprism AP3: hexagonal antiprism AP4: heptagonal antiprism AP5: octagonal antiprism Category: Math Art
5 of the infinite prismic polyknots Key to the polyknots triangualr prism pentagonal prism hexagonal prism Heptagonal prism octagonal prism Category: Math Art
a star polyknot inspired by MC Escher and BM Stewart Category: Math Art
a star polyknot inspired by mathematical artist Rinus Roelofs Category: Math Art
a star polyknot inspired by MC Escher Category: Math Art
a polyknot inspired by George Hart Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a star polyknot inspired by mathematical artist Rinus Roelofs Category: Math Art
a polyknot inspired by BM Stewart with icosidodecahedral symmetry Category: Math Art
a polyknot inspired by Robert Webb Category: Math Art
a polyknot inspired by MC Escher Category: Math Art
a polyknot inspired by MC Escher Category: Math Art
a polyknot inspired by MC Escher Category: Math Art
a polyknot inspired by George Hart Category: Math Art
a polyknot inspired by MC Escher Category: Math Art
a polyknot inspired by George Hart Category: Math Art
a traicondatahedral polyknot inspired by Henry Segerman Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a polyknot inspired by BM Stewart Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a polyknot inspired by MC Escher, Rinus Roelofs, and Alan Holden Category: Math Art
a polyknot inspired by Rinus Roelofs and MC Escher Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
a polyknot inspired by the art of Bathsheba Grossman. Category: Math Art
These are 3D knots with antiprism symmetries. tree supports are recommended and a minimum of 70mm z-axis setting
a jitter knot inspired by BM Stewart Category: Math Art
a polyknot inspired by sculptor George Hart More of my math art can be seen at: https://sites.google.com/view/structuralgeometry/home Category: Math Art
All 13 of the Escher-Catalan polyknots: complete set Key to the polyknots: C1: triakistetrahedron C2: rhombic dodecahedron C3: tetrakishexahedron C4: triakisoctahedron C5: strombic icositetrahedron C6: disdyakisdodecahedron C7: pentagonal…
All 13 of the ESCHER-ARCHIMEDEAN POLYKNOTS A1-A13 (Complete set) Key to the polyknots A1: truncated tetrahedron A2: cuboctahedron A3: truncated octahedron A4: truncated cube A5: rhombicuboctahedron A6: truncated cuboctahedron A7: snub…
all 13 of the Roelofs-Archimedean polyknots A1-A13. Key to the polyknots A1: truncated tetrahedron A2: cuboctahedron A3: truncated octahedron A4: truncated cube A5: rhombicuboctahedron A6: truncated cuboctahedron A7: snub cube A8:…
a star polyknot with tetrahedral symmetry inspired by artist Rinus Roelofs Category: Math Art
a polyknot with octahedral symmetry Category: Math Art
a polyknot inspired by Bathsheba Grossman Category: Math Art
a polyknot inspired by MC Escher Category: Math Art
a polyknot inspired by Rinus Roelofs Category: Math Art
