Pentabonitos Icosidodecahedron and Truncated Hexadecahedron by
Cándido Gallardo Casatejada, made up of knotted paper pentagons joined together.

Whip models by Miyuka Kawamura. This beautiful model was published in the 2003
9th Origami Tanteidan Convention book and is reminiscent of her Celes models.

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Knotology polyhedra by Heinz Strobl. This method of braiding strips into polyhedra was also
independently done by Tomoko Fuse. Materials used: quilling strips, plastic giftwrap ribbon.

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More Knotology Polyhedra - a Truncated Icosahedron and a Rhombicosidodecahedron

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Views of Miyuki Kawamura's 60° Celes Models made with 1:8, 1:7 and 1:6 strips.
Diagrams appeared in the 2002 8th Origami Tanteidan Convention book

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Miyuki Kawamura's 180° Celes
Cuboctahedron using 1:7 strips

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Two views of a Reversed Celes. I got the idea when I
tried to reverse engineer a model by David Derudas

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Heinz's Sphere 94 and
another knotty polyhedron based on it.

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Woven Dodecahedral Ball
by Yami Yamaguchi

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Various Strip Polyhedra by Tomoko Fuse