Möbius Strip VII (variant b)
This Möbius strip is closed by a very simple lock which is based solely on friction of the paper and the tension of the twisted strip. It is the same idea as...
Other Mathematical Objects
Mathematical objects not grouped elsewhere.
This page lists models of a single type. You might be interested in folding instructions instead.
Möbius Strip VII (variant A)
This Möbius strip is closed by a very simple lock which is based solely on friction of the paper and the tension of the twisted strip. There are no tabs and ...
Star with Unicursal Hexagram
This star is decorated with a molecule of my Unicursal Hexagram Tessellation. The color-change rays are the same as in Star a la Fujimoto.
Unicursal Hexagram Tessellation
The molecule of this tessellation is made from a modified hex twist and represents a unicursal hexagram which is an interesting geometric shape that has also...
Recycling Symbol
A modular recycling symbol, my design from 2021. Mathematically speaking, it is a Möbius strip. Folded from three units, each forming one corner of the trian...
Möbius Chain (CBU)
Each link of this chain is a Möbius strip folded from a single CBU unit, essentially a Möbius Strip V (CBU). For a chain with regular, round links, see Chain...
Tower of Babel (CBU)
This is just a single long Conveyor Belt Unit (CBU) wound into a coil, but it looks like the Tower of Babel in Bruegel’s painting or the Guggenheim Museum.
Hypar (Hyperbolic Paraboloid) clean fold
The Hypar is usually folded starting from a complete grid, but precreasing it cleanly is rather straightforward. This design is very elegant, so I’m includin...
62 Knot (CBU)
The 62 Knot is one of three prime knots with crossing number six. Though not as well known as the Trefoil Knot, it is also quite interesting. This origami ve...
Dodecagonal Kaleidocycle
This origami kaleidocycle is an example of a flexible polyhedron, and an action origami model. You can see the cycling action in this video by Ed Holmes, in ...
Trefoil Knot (CBU)
In contrast to my earlier trefoil knot from CLU unit, which used a more elongated strip of paper and was shaped more like a clover, this trefoil knot is fold...
Hypar (Hyperbolic Paraboloid)
This model, representing a hyperbolic paraboloid, is thought to originate from the paperfolding experiments at Bauhaus in the late 1920’s. However, details o...
Möbius Strip VI “Recycling Symbol” (CBU)
This Möbius strip is made from a single Conveyor Belt Unit (CBU), just like Möbius Strip V, but the ends are twisted additional 360° before being connected. ...
Möbius Strip V (CBU)
A Möbius strip consisting of a single Conveyor Belt Unit (CBU) twisted and locked with itself by both ends. This is the cleanest representation of a Möbius s...
Trefoil Knot
A trefoil knot from a single Cross Lap Unit.
Hamiltonian Cycle of Cube
My design for a single-sheet Hamiltonian cycle of a cube. Origami folded from a single long (just above 5:1) rectangle of paper. The bent frame is in typical...
Möbius Strip IV (CLU)
The Möbius band (aka Möbius strip) is an interesting mathematical object, a single-sided surface. This origami version is folded using my Cross Lap Unit (CLU...
Möbius Strip III (BBU)
A single-sided surface, the Möbius Band is one of the more interesting mathematical objects that can be reproduced in origami.
Hamiltonia Cycle of the Cube
A Hamiltonian cycle is a closed path on a polyhedron which visits each vertex exactly once. This model represents such a path for a cube. It can also be used...
Ring
This ring can also be worn as a headband. It uses a non-standard way of connecting the modules. Any even number of modules can be connected this way, though ...
Klein Bottle
This model was quite difficult to design, as the two sides of surfaces made with PHiZZ modules differ a lot (due to the presence of “bumps” where units join)...
Möbius Strip II (Trimodule)
This is one of the rather few modular origami designs which use an odd number of units. Compare also with another similar model.
Möbius Strip I (Trimodule)
This is one of the rather few modular origami designs which require an odd number of modules. Compare also with another similar model.