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The 5 Roelofs-Platonic Polyknots

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…

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28
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4
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5

ROELOFS OLOID CUBIC POLYCHAIN 1

a polychain inspired by Rinus Roelofs Category: Math Art

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11
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1
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0

13 Roelofs-Catalan Polyknots (complete set)

This collection of the Roelofs-Catalan polyknots will challenge any 3D printer. Recommendations: z-axis setting 125+mm Tree supports.

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9
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2
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0

Roelofs Triple Layer Cubic Polyknot 1

This is a 3 layer cubic polyknot inspired by mathematical artist Rinus Roelofs.

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9
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1
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0

ROELOFS OCTAHEDRAL POLYLINK 4

a polylink inspired by Rinus Roelofs Category: Math Art

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8
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1
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0

13 Roelofs-Archimedean Polyknots (complete set)

These polyknots will challenge any 3D printer. recommendations: z-axis setting 125+mm tree supports.

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7
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2
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0

ROELOFS TETRAHEDRAL POLYKNOT 2

a remastered Roelofs tetrahedral polyknot inspired by internationally renowned mathematical artists Rinus Roelofs Category: Math Art

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7
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2
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0

ROELOFS CUBIC STAR POLYKNOT 1

a star polyknot inspired by Rinus Roelofs recommendations: z-axis setting: 125mm+ tree supports comments: simple post print processing Category: Math Art

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7
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1
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0

7 Roelofs Antiprism Polyknots

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.

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6
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0
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0

ROELOFS ICOSAHEDRAL POLYKNOT 2

an icosahedral polyknot inspired by Rinus roelofs Category: Math Art

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6
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0
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0

ROELOFS CUBIC POLYKNOT 4

a polyknot inspired by Rinus Roelofs Category: Math Art

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6
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1
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0

ROELOFS OCTAHEDRAL POLYLINK 1

a polylink inspired by Rinus Roelofs Category: Math Art

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6
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1
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0

7 Roelofs Prism Polyknots

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.

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5
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0
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ROELOFS STAR OCTAHEDRAL POLYKNOT 1

a star polyknot inspired by Rinus Roelofs Category: Math Art

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5
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0
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0

ROELOFS STAR DODECAHEDRAL POLYKNOT 3

a star polyknot inspired by Rinus Roelofs Category: Math Art

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5
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0
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0

ROELOFS DODECAHEDRAL POLYLINK 3

a polylink inspired by artist Rinus Roelofs Category: Math Art

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5
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0
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0

ROELOFS STAR DODECAHEDRAL POLYKNOT 2

a star polyknot inspired by mathematical artist Rinus Roelofs Category: Math Art

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5
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0
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0

ROELOFS STAR DODECAHEDRAL POLYKNOT 6

a polyknot inspired by Rinus Roelofs Category: Math Art

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5
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0
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0

ROELOFS STAR DODECAHEDRAL POLYKNOT 2

a polyknot inspired by Rinus Roelofs Category: Math Art

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5
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1
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0

STEWART-ROELOFS PENTAFOIL RING KNOT

a ring knot inspired by BM Stewart and Rinus Roelofs Category: Math Art

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5
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1
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0

ROELOFS RHOMBIC DODECAHEDRAL POLYKNOT 2

a polyknot inspired by Rinus Roelofs Category: Math Art

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5
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2
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0

ROELOFS TETRAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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5
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1
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0

ROELOFS CUBIC POLYKNOT 5

a polyknot inspired by Rinus Roelofs Category: Math Art

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5
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1
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0

ROELOFS CUBIC POLYKNOT 6

a polyknot inspired by Rinus Roelofs Category: Math Art

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5
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1
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0

ROELOFS CUBIC POLYKNOT 5

a polyknot inspired by Rinus Roelofs Category: Math Art

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5
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1
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0

ROELOFS DODECAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math

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5
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1
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0

ROELOFS CUBIC POLYCHAIN 1

a polychain inspired by Rinus Roelofs Category: Math Art

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5
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2
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0

ROELOFS CUBOCTAHEDRAL POLYLINK 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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5
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1
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0

KEPLER-ROELOFS CUBIC POLYKNOT 1

a polyknot inspired by Rinus Roelofs and Johannes Kepler Category: Math Art

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5
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1
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0

KEPLER-ROELOFS OCTAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs and Johannes Kepler Category: Math Art

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5
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1
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0

ROELOFS CUBIC TETRAHEDRON 1

an odd polyhedron inspired by Rinus Roelofs Category: Math Art

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5
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1
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0

All 92 Roelofs-Johnson Polyknots (complete set)

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.…

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4
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5 ROELOFS-PRISM POLYKNOTS

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

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The 5 ROELOFS-PLATONIC POLYKNOTS (complete set)

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

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4
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0
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0

ROELOFS STAR ICOSAHEDRAL POLYKNOT 1

a star polyknot inspired by mathematical artist Rinus Roelofs Category: Math Art

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4
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0
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0

ROELOFS-HOLDEN-ESCHER DODECAHEDRAL STAR POLYLINKNOT 1

a polyliknot inspired by Alan Holden, MC Escher, and Rinus Roelofs. Category: Math Art

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4
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0
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ROELOFS DODECAHEDRAL POLYKNOT 4

a polyknot inspired by Rinus Roelofs Category: Math Art

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4
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0
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0

ROELOFS STAR DODECAHEDRAL POLYKNOT 1

a star polyknot inspired by mathematical artist Rinus Roelofs Category: Math Art

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4
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0
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0

ROELOFS CUBIC POLYLINK 5

a polyknot inspired by Rinus Roelofs Category: Math Art

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4
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0
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0

ROELOFS RING LINK 3

a ring link inspired by Rinus Roelofs Category: Math Art

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4
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1
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0

ROELOFS TREFOIL KNOT 1

a knot inspired by Rinus Roelofs Category: Math Art

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4
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1
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0

ROELOFS OCTAHEDRAL POLYLINK 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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4
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1
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0

ROELOFS DODECAHEDRAL POLYCHAIN 1

a polychain inspired by Rinus Roelofs Category: Math Art

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4
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1
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0

ROELOFS PENTAGONAL PRISMIC POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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4
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1
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0

ROELOFS OCTAHEDRAL POLYLINK 2

a polylink inspired by Rinus Roelofs Category: Math Art

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4
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1
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0

ROELOFS TETRAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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4
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1
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0

ROELOFS DODECAHEDRAL POLYKNOT 1

a polyknot inspired by MC Escher, Rinus Roelofs, and Alan Holden Category: Math Art

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4
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1
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0

ROELOFS-ESCHER TETRAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs and MC Escher Category: Math Art

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4
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1
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0

ROELOFS RHOMBIC DODECAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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4
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1
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0

ROELOFS OCTAHEDRAL POLYLINK 1

a polylink inspired by Rinus Roelofs Category: Math Art

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4
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1
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0

ROELOFS OCTAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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4
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1
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0

ROELOFS CUBIC POLYKNOT 2

a polyknot inspired by Rinus Roelofs Category: Math Art

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4
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1
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0

ROELOFS OCTAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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4
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1
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0

Roelofs Trefoil Knot 2

a trefoil knot (double layered) inspired by the double layered polyhedra of Rinus Roleofs.

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4
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0
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All 13 of the ROELOFS-ARCHIMEDEAN POLYKNOTS: A1-A13 (complete set)

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:…

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3
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0
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0

ROELOFS STAR TETRAHEDRAL POLYKNOT 1

a star polyknot with tetrahedral symmetry inspired by artist Rinus Roelofs Category: Math Art

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3
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0
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0

ROELOFS DODECAHEDRAL POLYKNOT 3

a polyknot inspired by Rinus Roelofs Category: Math Art

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3
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0
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0

ROELOFS OCTAHEDRAL POLYLINK 4

an octahedral polylink inspired by mathematical artist Rinus Roelofs Category: Math Art

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3
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0
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0

The 13 ROELOFS-CATALAN POLYKNOTS (complete set)

all 13 of the Roelofs-Catalan polyknots: Key to the Roelofs-Catalan poyknots: C1: triakistetrahedron C2: rhombic dodecahedron C3: tetrakishexahedron C4: triakisoctahedron C5: strombic icositetrahedron C6: disdyakisdodecahedron C7:…

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2
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0
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0

All 92 of the 92 ROELOFS-JOHNSON POLYKNOTS: J1-J92

All 92 of the 92 Roelofs-Johnson polyknots inspired by Rinus Roelofs and modeled on the Johnson solids. (Complete set) Key to the Roelofs-Johnson polyknots: J1: square pyramid J2: pentagonal pyramid J3: triangular cupola J4: square cupola…

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2
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0
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0

ROELOFS TREFOIL KNOT 2

a trefoil knot (double layered) inspired by the double layered polyhedra of Rinus Roelofs. Category: Math

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2
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0
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0

ROELOFS OCTAHEDRAL POLYLINK 3

an octahedral polylink inspired by mathematical artist Rinus Roelofs Category: Math Art

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2
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0
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0
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The 5 Roelofs-Platonic Polyknots

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…

P
Printables

7 Roelofs Prism Polyknots

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.

P
Printables

7 Roelofs Antiprism Polyknots

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.

P
Printables

ROELOFS OCTAHEDRAL POLYLINK 4

a polylink inspired by Rinus Roelofs Category: Math Art

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ROELOFS OCTAHEDRAL POLYLINK 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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ROELOFS RHOMBIC DODECAHEDRAL POLYKNOT 2

a polyknot inspired by Rinus Roelofs Category: Math Art

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ROELOFS TETRAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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ROELOFS CUBIC POLYKNOT 5

a polyknot inspired by Rinus Roelofs Category: Math Art

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ROELOFS DODECAHEDRAL POLYCHAIN 1

a polychain inspired by Rinus Roelofs Category: Math Art

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ROELOFS PENTAGONAL PRISMIC POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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ROELOFS OCTAHEDRAL POLYLINK 2

a polylink inspired by Rinus Roelofs Category: Math Art

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ROELOFS CUBIC POLYKNOT 6

a polyknot inspired by Rinus Roelofs Category: Math Art

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ROELOFS CUBIC POLYKNOT 5

a polyknot inspired by Rinus Roelofs Category: Math Art

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ROELOFS CUBIC POLYKNOT 4

a polyknot inspired by Rinus Roelofs Category: Math Art

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ROELOFS DODECAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math

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ROELOFS OLOID CUBIC POLYCHAIN 1

a polychain inspired by Rinus Roelofs Category: Math Art

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ROELOFS CUBIC POLYCHAIN 1

a polychain inspired by Rinus Roelofs Category: Math Art

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ROELOFS OCTAHEDRAL POLYLINK 1

a polylink inspired by Rinus Roelofs Category: Math Art

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ROELOFS TETRAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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ROELOFS CUBOCTAHEDRAL POLYLINK 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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ROELOFS DODECAHEDRAL POLYKNOT 1

a polyknot inspired by MC Escher, Rinus Roelofs, and Alan Holden Category: Math Art

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ROELOFS-ESCHER TETRAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs and MC Escher Category: Math Art

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ROELOFS RHOMBIC DODECAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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ROELOFS OCTAHEDRAL POLYLINK 1

a polylink inspired by Rinus Roelofs Category: Math Art

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ROELOFS OCTAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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KEPLER-ROELOFS CUBIC POLYKNOT 1

a polyknot inspired by Rinus Roelofs and Johannes Kepler Category: Math Art

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ROELOFS CUBIC POLYKNOT 2

a polyknot inspired by Rinus Roelofs Category: Math Art

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KEPLER-ROELOFS OCTAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs and Johannes Kepler Category: Math Art

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ROELOFS OCTAHEDRAL POLYKNOT 1

a polyknot inspired by Rinus Roelofs Category: Math Art

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ROELOFS CUBIC TETRAHEDRON 1

an odd polyhedron inspired by Rinus Roelofs Category: Math Art

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ROELOFS RING LINK 2

a link inspired by Rinus Roelofs Category: Math

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ROELOFS RING LINK 1

a link inspired by Rinu Roelofs Category: Math

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Roelofs Triple Layer Cubic Polyknot 1

This is a 3 layer cubic polyknot inspired by mathematical artist Rinus Roelofs.

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ROELOFS CYLINDRICAL PENTAFOIL RING KNOT 1

a ring knot inspired by Rinus Roelofs Category: Math Art

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ROELOFS RING LINK 2

a link inspired by Rinus Roelofs Category: Math

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ROELOFS RING LINK 1

a link inspired by Rinu Roelofs Category: Math

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Roelofs Link 1

a link inspired by the double layered polyhedra of artist Rinus Roelofs

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ROELOFS LINK 1

a link inspired by artist Rinus Roelofs Category: Math Art