A comparison of two variants of Fractalized Petals CFW 85: one with consistent rotation direction for all levels and
one with alternating rotation directions.
A traditional modular design. The units are folded from 5:1 rectangular strips. There is interesting information about the history of this model
on Dave Mitc...
This chain is composed of links which are each a Möbius Strip VII variant B and closed without any glue.
All the links were folded from strips cut from a sin...
I designed this fractal by starting from Shuzo Fujimoto’s Thorn (CFW 86). I don’t know whether Fujimoto himself
was aware of the possibility of fractalizing ...
I designed this fractal by starting from Shuzo Fujimoto’s Thorn (CFW 86). I don’t know whether Fujimoto himself
was aware of the possibility of fractalizing ...
This model is folded in blue and yellow, the national colors of Ukraine. Three years into a terrible invasion by Russia, the people of Ukraine continue to
re...
I noticed than when you stack several Geometric Vases 1.1 into each other, you get a very nice
Christmas Tree. I topped out this one with a simple custom pie...
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...
In 2020, I refolded the Oxi module Cube, my first modular design, going back to 2005. I used slightly higher quality
paper, but it’s still sheets from a note...
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 ...
Lucky Star Fractal, level 3, folded from dark green Tant paper.
This model is so nice I’ve folded it probably dozens of times (which rarely happens) and each...
This is one of many polyhedra from a single sheet designed by Shuzo Fujimoto. It is folded from a long strip, somewhat
shorter than shown in the CP in the bo...
I developed Shuzo Fujimoto’s design, Petals (CFW 85) into a fractal.
I don’t have direct proof if Fujimoto was aware of this possibility, but I think it’s li...
I developed Shuzo Fujimoto’s design, Petals (CFW 85) into a fractal.
I don’t have direct proof if Fujimoto was aware of this possibility, but I think it’s li...
This origami shape, designed by Shuzo Fujimoto, is a truncated octahedron, but with
the square faces replaced by inverted pyramids. It is folded from a singl...
This interesting model by Shuzo Fujimoto represents a cube with a corner cut off. Depending on the proportions of the
paper strip used, the cut surface is cl...
I folded this cuboctahedron from modified Open Frame Units (Tomoko Fuse)
around 2013. Just 12 units are used, and without modification, they would create a r...
Yet another approach to making a cube from two identical units. This design is paper-effective, and looks very clean from the top and the sides. Looking at t...
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...
I found out that Shuzo Fujimoto’s molecule used in his CFW 91 star,
can be changed into a fractal. By pulling some paper outside in the center, you can get a...
The complete set of seven Tetris pieces, recreated in origami using the business card cube module.
Of the seven pieces, six require the same number of units ...
A spiked icosahedron made from my Weird Asymmetric Sonobe (WASS) unit variant with color change.
Since the color change’s symmetry is not aligned with the sy...
This polyhedron is like a regular octahedron whose each face was replaced with a
triangular pyramid pointing inwards. The three faces other than the base are...
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...
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...
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.
This model is just a friendly reminder that almost any tessellation can be transformed into a BBU
tile, and combined with other tiles to create 3D shapes wit...
Comparison of three related Sonobe variants of mine, from left to right: Paper Airplane Sonobe,
Checkered Sonobe, and Bow-Tie Sonobe. Each icosahedron
is fol...
This is a collections of my origami tessellations that I framed and hung near the desk I use for folding. The models, all kept in neutral colors, are as foll...
I photographed this model ten years ago, in January 2013. It is just a simple tetrahedron folded from Francis Ow’s 60 degree unit.
What makes it more interes...
This is a recursive version of Shuzo Fujimoto’s Scissors (CFW 87). I wanted to call it Biohazard Fractal
since it resembles the biohazard symbol, but later d...
This is another fold of Scissors Fractal, a recursive model I derived from Shuzo Fujimoto’s
Scissors (CFW 87). In this fold, the direction each level rotates...
The name of this design by Robert Lang is a little origami joke. It references two creators, Shuzo Fujimoto
and Rebecca Gieseking, and it does indeed combine...
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...
A regular octahedron from one sheet, by Shuzo Fujimoto. This design is very
paper-efficient, and surprisingly sturdy given how little paper is wasted on the ...
This cube, folded from a single square, is one of Shuzo Fujimoto’s most famous designs. Not only is the model very
firm, but the folding sequence is a master...
This is a single molecule which can be tessellated. It is made from a molecule of Whirlwind Tessellation
placed inside a larger one. More than the two levels...
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...
When you fold variants of my Lucky Star Box, you can extend the star to its fractal form.
This particular variant emerges when you apply that procedure to th...
You can assemble a simple Christmas tree from multiple Fortune Tellers (which you probably already know how to fold). Each Fortune Teller is smaller than the...
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 ...
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...
This model, representing a hyperbolic paraboloid, is thought to originate from the paperfolding experiments at
Bauhaus in the late 1920’s. However, details o...
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. ...
Believe it or not, over all these years of folding tessellations, I never folded a clean tiling of Fujimoto’s Hydrangea.
I recently decided to make up for th...
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...
Another fold of Shuzo Fujimoto’s Hydrangea. I’ve kept two outermost leaf layers free of unnecessary creases.
For deeper layers, it becomes much harder.
This design is my modification of Shuzo Fujimoto’s Hydrangea. Despite the change being very minor, it allows
the model to be shaped in a more three-dimension...
Ten level-3 Lucky Star Fractals, folded from metallic paper
in different colors. This is just a small subset of how many times I have folded this model over ...
This was an experiment with yet another PHiZZ variation of mine, conducted a few years ago. I chose too soft paper
(or too large sheets) for this model which...
This is just a simple Hydrangea, designed by Shuzo Fujimoto, but I think it looks really nice in back light.
Folded from Grünperga Kristall Prägo, a kind of ...
Model folded from transparent book wrapping fold which shows the internal structure of the model in an interesting way.
Have a look at the detailed review of...
Spiked Icosahedron made from my new Sonobe variant, Paper Airplane Sonobe. When you look at an
individual unit before assembling the model, you can spot a re...
This is a very simple modular origami design I recently came up with when revisiting my Oxi unit from a few years ago.
The unit has folded edges on one side ...
This is the simplest recursive/fractal model I have come up with so far. It is folded from a square. Due to the very high shrinkage factor, which is almost 4...
This is a tessellation of the Lucky Star Fractal. The standalone star was designed independently by several
people, starting with Shuzo Fujimoto. I don’t kno...
This model is a variant of the Lucky Star Fractal (aka Logarithmic Star), designed by myself and
independently by many others before me, starting with Shuzo ...
A level-3 fold of Lucky Star Fractal, this time from gray metallic paper.
I rarely fold a model multiple times, but this particular model is so nice I have f...
This is a recursive version of the Lucky Star molecule. Just like the non-recursive version,
it can be tessellated or used for decorating a box. The back of ...
Rhombus Fractal, an origami tessellation designed by Endre Somos (and independently also by Joel Cooper and by Wei Fu),
folded by me. You may also find inter...
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...
A side-by-side comparison of Shuzo Fujimoto’s Clover Folding (left) and my own
Clover Folding Lookalike (right). Front and back sides are shown (top and bott...
This is my design which at first glance looks very similar to Shuzo Fujimoto’s Clover Folding
but has a completely different crease pattern and design.
I hadn’t folded Shuzo Fujimoto’s Clover Folding for at least two years when I decided to fold one again
after seeing some examples beautifully folded by John...
Shuzo Fujimoto’s Hydrangea can be used as a modular unit. The method was first published by
Meenakshi Mukerji and then reinvented independently by myself. I ...
A Cube from a unit I recently designed and later learned that was earlier designed independently by
Saburo Kase. More details in the unit’s description.
A color-change variant of Shuzo Fujimoto’s Hydrangea, designed by Meenakshi Mukerji.
Test fold based on unpublished diagrams, kindly provided by Meenakshi [u...
Stacked molecules of my Hearts Tessellation. This model is a fractal, and you can go on stacking heart
upon heart indefinitely, each twice as large as the pr...
This Leafless Hydrangea model is a simple modification of Shuzo Fujimoto’s Hydrangea. It’s interesting
how a simple change can modify a model’s appearance. J...
This is the logo of Apache Mesos (cluster management software) rendered in origami. A colleague at work suggested I try
designing this object in origami afte...
Aton Kusudama, variant A (many more are possible). Spiked icosahedron made from 30 units. Designed and folded by me. More variants are possible,
some with in...
90-edge buckyball made from a variation of Tom Hull’s PHiZZ unit. I know that other people have also
designed this simple variant of the unit independently f...
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...
Lotus Cube, made from a variant of my BBU (Building Block Units). Even though it is possible
to make a cube from just 6 lotus BBU units, such an assembly is ...
This is a fractalized version of my Propellers Tessellation. Stacked Propellers Tessellation is folded
from a 16×16 grid per molecule in this case but you ca...
This modular woven polyhedron not only looks nice, but it also has a very interesting
history of different people designing it independently. Those credited ...
This cube is made from a slightly modified variant of my Woven Slit Module (WSM). 36 units are used
(6×4 = 24 for the faces and 12 for the edges), made from ...
This is an icosahedron (or dodecahedron, depending on how you look at it) made from a modified version of
Sturdy Edge Module (StEM), a 90-degree unit variant...
This is an example of using my Fractal Pinwheel as a modular unit. Due to small size, there’s only one level
so the fractalness is not so clearly visible.
This pinwheel displays a fractal pattern with smaller pinwheels embedded inside larger ones, a series which can be continued indefinitely with thin enough pa...
I designed this tiling of Shuzo Fujimoto’s Clover Folding after I saw the
tiling by Peter Budai and thought it would be better to make the borders between mo...
This rendition of the Tower of Babel consists of a series of square platforms placed one on top of another and rotated by
45 degrees at each level. This frac...
This tessellation consists of concentric square twists of growing size. The medium is self-adhesive holographic foil glued onto tracing paper.
The spiral is ...
This picture frame can hold a standard 15×10 cm photograph. It consists of four molecules of the Hydrangea Tessellation
(designed by Shuzo Fujimoto), spaced ...
After I made a Hydrangea Cube, Hydrangea Icosahedron was the next logical step. Just as in the cube,
the Hydrangea Tessellation by Shuzo Fujimoto is used as ...
In this assembly method, units forming each face of the cube are woven, forming a hole in the middle. This increases the number of units needed for a cube to...
In this assembly method, units forming each face of the cube are woven, forming a hole in the middle. This increases the number of units needed for a cube to...
In this assembly method, each of the cube’s faces is made of two modules which are both attached to both perpendicular modules in the same way.
Together with...
This cube is a mechanical toy. Its size can be adjusted: the cube can grow or shrink by a factor of about two. It starts out as a cube with a pattern
resembl...
This is a simple name plate on which you can place your name and put it on your desk. You can also use it to place descriptions near your origami models
on y...
Name Plate variant which has one of the pyramids pointing outside and the other inside. This allows several
elements to be stacked on top of each other, like...
Some recent cube stands by Owrigami reminded me of my PVM unit and I got the idea of
combining several of them on a single sheet of paper. This model is esse...
Another combination of Building Block Units and tessellations, this time
Fujimoto’s Clover Folding, folded without the decorative margin.
18 modules:
6 × BB...
This is a modular cube made of six Square Weave Tessellations. The connection method is mine,
the authorship of the Square Weave Tessellation seems to be dis...
I came up with the idea of connecting Hydrangeas to form a modular origami design independently,
then found out Meenakshi Mukerji had published it in her boo...
This model is a combination of Building Block Units and Fujimoto’s
Clover Folding. The models amounts to 18 units, 12 of which are BBUs
(6 × D10 variant, 6 ×...
Makalu is one of the models in Robert Lang’s Himalayan Peaks series. Its more scientific name is six intersecting pentagons, or: 6 × 5 × 1 polypolyhedron.
Se...
This is the simplest of Robert J. Lang’s polypolyhedra. A more descriptive name of this model is four intersecting triangles, or 4 × 3 × 1 polypolyhedron.
Annapurna (also known as ten intersecting triangles or 10 × 3 × 1 polypolyhedron) was designed by Robert Lang,
but the model presented here uses my Sturdy Ed...
The structure of this model is similar to spiked icosahedra made with variants of the Sonobe unit and other similar modules. However, in the case of BBU,
a t...
This model demonstrates how Building Block Units can be modified to form rectangular rather than square faces.
Just like the cube, this model uses 12 modules...
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...
This is a shape created by placing cubes on the outer square walls of a hexagonal prism. This way, the outer
outline becomes a dodecagonal prism. Seen from t...
Due to the E10 tile’s small flaps, it can’t be directly attached to the flaps of inner A1 tiles. An additional “sizing” layer of A2 tiles is needed for prope...
Mathematically speaking, this wheel is a tetradecagonal prism.
This construction, which uses a mix of units made from 1:√2 and 1:2√2 paper, isn’t mathematica...
This is a physically large model which demonstrates how StEM units made from sheets of different
proportions can be combined (obviously, all rectangles’ shor...
The unit is a variant of an edge unit; I call usage like this the “face variant” since the unit
covers a face rather than an edge of the solid. When I invent...
This model’s structure is an octahedron whose each face was replaced with a pyramid of three equilateral right triangles, pointing inwards. Units are
located...
The modules’ shape makes this level 1 model look even closer to a level 2 model than the Penultimate Module version.
The hole in each small square is exactly...
This model (first from the left) is compared here with some other simple polyhedra folded from the same kind of module.
Note how the tetrahedron looks almost...
This model (first in bottom row) is shown compared to other models folded from SEU units made from 2:1 and square paper (top and bottom row, respectively).
N...
This model (first in top row) is shown compared to other models folded from SEU units made from 2:1 and square paper (top and bottom row, respectively).
Note...
This model demonstrates the rotated link connection method that can be applied to SEU units
folded from square paper, which can be considered a Sonobe varian...
This model demonstrates the Sonobe link connection method that can be applied to SEU units
folded from square paper, which can be considered a Sonobe variant...
This model demonstrates the reversed SEU link connection method that can be applied to SEU units
folded from square paper, which can be considered a Sonobe v...
This model demonstrates the SEU link connection method that can be applied to SEU units
folded from square paper, which can be considered a Sonobe variant. T...
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 ...
This model (first from the right, top row) is compared here with some other simple polyhedra folded from the same kind of module.
The two octahedra demonstra...
This model (first from the right, bottom row) is compared here with some other simple polyhedra folded from the same kind of module.
The two octahedra demons...
This model (last in bottom row) is shown compared to other models folded from SEU units made from 2:1 and square paper (top and bottom row, respectively).
No...
This model (last in top row) is shown compared to other models folded from SEU units made from 2:1 and square paper (top and bottom row, respectively).
Note ...
This model (second in bottom row) is shown compared to other models folded from SEU units made from 2:1 and square paper (top and bottom row, respectively).
This model (second in top row) is shown compared to other models folded from SEU units made from 2:1 and square paper (top and bottom row, respectively).
This is a labor-intensive, but very satisfying to fold model. Some people have managed to go as far as level 3
but even level 2 was quite challenging. About ...
Another fold of the Compound of Five Tetrahedra, with different colors. I used this model to make anaglyph images which allow you to see it in 3D
(with red-c...
I folded this business card cube from Warsaw public transport tickets rather than from business cards. 12 modules: 6 for the body and 6 for the coating.
I think this is my first Sonobe variant. Since it’s one of the simplest modifications possible, it has probably been independently discovered by many others.
You can compare this model, which uses straight, unmodified units, with two models made from the same units after slight modification:
Flower Icosahedron and...
The module, originally designed just for folding this dodecahedron, can be also used for other kinds of models. See, for example,
this spiked icosahedron.
This model is made from 90 modules (modified variant for triangular faces). Each face of the dodecahedron is made from a 5-triangle group, where the triangul...
At only 30 modules, this model is still much more challenging than most models with several times that many units, but also a lot of fun to fold.
See the lin...
Generally, PHiZZ units are always connected in such way that three modules meet at each vertex. However, one can connect just two modules at some points,
thu...
This is my experiment in modular origami made from two different types of units: 60 PHiZZ and 60
Penultimate units. These two kinds of modules are quite simi...
A small modification used in this model makes it possible to create polyhedra with triangular faces from Penultimate unit
in a more convenient way than origi...
One of the larger models I have designed, this icosidodecahedron has pentagonal faces made up of small triangular pyramids
and triangular faces replaced with...
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)...
There is one spike placed over two adjacent faces of the pentakisdodecahedron in this model. I haven’t checked
if the angles actually add up, so it might be ...
This puzzle, described in Hugo Steinhaus’ book Kalejdoskop matematyczny (Mathematical Snapshots, literally
Mathematical Kaleidoscope) consists of six pieces,...
One way of looking at this model is to see it as an icosahedron with a pyramid placed on each triangular face. Another is seeing it as a dodecahedron
where e...
This model uses 128 Trimodules, forming 64 2-unit tetrahedra, and 126 links that connect them, for a total of 254 units. The links were made from narrow
rec...
Thanks to the modules’ shape and the holes created in the spaces between them, this model looks almost like a level 2 Menger sponge even though it is actuall...
This icosahedron has nine triangular pyramids pointing inwards on each face. The same shape can also be described as a truncated icosahedron whose each face
...
A level-1 Koch snowflake is just a simple hexagonal star, and this is the way of connecting the Trimodule units
originally suggested in Nick Robinson’s instr...
This fractal is an analogue of the standard Koch snowflake. Level 0 is a tetrahedron. In each iteration, a tetrahedron with
half the edge length is placed in...
There are six intersecting planar surfaces, each in the shape of pentagonal star, in this model. This leads to the most popular coloring with six different c...