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...
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 ...
A variant of Star Moira, in which the rays are completely hidden, so the star looks like a simple disk.
The oblique view shows some more interesting structur...
It’s been a while since I last worked on modular stars, but I designed this one, along with a few variants, at the end of 2023. Variant A is rather fragile
a...
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...
A comparison of two folds of CFW 106 side by side: one from patterned Washi and the other
from plain color Tant. Patterned paper, though very nice, made it i...
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...
In early 2023, I went back to an idea I had in 2016 to make a modular daisy out of bent modules, all connected in the
center of the flower. My first attempt ...
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...
These pictures show sixteen boxes decorated with tessellation molecules belonging to the Woven Triangles family,
folded in the years 2020-2021. All boxes wer...
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...
This wireframe vase is not very practical as a container, but the design is interesting. It can be used to hold a tennis ball in place and prevent it from
ro...
A simple modular star I designed in 2019. I used paper with a heavy pattern which unfortunately masks the crease lines to such degree that practically only t...
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...
It’s been a while since I posted a modular star design, so here is another, from late 2019 when I was very much into this genre. This one has octagonal
symme...
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...
Since today is Polish Independence Day, I’m publishing a picture of my
Hedgehog Star III folded in Polish national colors. This work uses a proper color chan...
A follow-up design to Hedgehog Star II from February. There is a color-change, but in this fold I used two
kinds of metallic paper, each same color on both s...
Another fold of Hedgehog Star II, once again in Ukrainian national colors since symbolizing Ukraine’s
resistance in the face of Russia’s aggression was the r...
A modular star I designed in early 2020. There are several ways in which the units can be connected, of which the one shown here is most stable. Since the
la...
This is a very simple and elegant traditional model: a ninja star you can actually throw quite well. With just two units it’s also one of the simplest
modula...
This Shiba Inu dog by Makoto Yamaguchi is an example of a figurative model
folded from two sheets, with one sheet being used for the head and tail and the ot...
This is a very simple modular star, this time with square rather than hexagonal symmetry. It looks a bit like a compass rose with only the four cardinal
dire...
I designed and folded this spiked origami star bearing Ukrainian national colors last Monday night, after Putin’s speech.
The design has a color-change, but...
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...
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 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. ...
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...
A conveyor belt, made from Conveyor Belt Units (CBU). Instead of connecting the ends together,
one could also leave the model in the form of a flat tape, or ...
When I was little, it was common for kids to make paper chains as Christmas tree decoration (łańcuch na choinkę). These chains were
made by cutting colored p...
In this variant of Star Deimos, units are modified so that there is no pocket in the top visible layer.
This requires a change to the locking mechanism and r...
Another approach to designing an origami Python logo. This model is folded from two separate sheets, which allows the
snakes to be different colors and have ...
The units from which this star is made, are folded from triangles whose angles are 30°, 60° and 90°. Such triangles are created when you cut a hexagon from
a...
Revisiting my Springy Unit, a design from more than 10 years ago, I realized it would be perfect for folding
models of hydrocarbon molecules and aromatic com...
I designed this model for the cover illustration of my father’s book on nanoparticles. It represents
the structure of SBA-15, a type of mesoporous silica. My...
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 is a model I designed and folded back in 2016. It is made from the same kind of units as
Single-Module Modular Heart. Any number of units can be used si...
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...
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 ...
If you wear glasses like me, you are probably quite frustrated by the fog which the mask creates on your glasses, especially in winter. This simple origami
d...
Star Deimos, another of my simple modular origami star designs. There is a color change in the center of the model, and the six-fold symmetry allows
for seve...
Crown of Thorns: modular origami from 8 units. Each unit is from an 8:1 rectangle of paper and all units can be precreased as a single square only to be
cut ...
Yet another variant of Star Ananke. Variants of this design were designed independently by myself and by
others before me: Wei Fu, and Robin Glynn (with mino...
This variant of Star Ananke features an additional hexagon in the center of the model. It’s a small change
in the individual unit, but it makes connecting th...
This is the front of Star Ananke, variant D. The basic variant (A) was designed independently by myself and by
others before me: Wei Fu, and Robin Glynn (wit...
This is the back side of Star Ananke (variant D). The basic variant (A) was designed independently by myself and by
others before me: Wei Fu, and Robin Glynn...
A modification (variant C) of Star Ananke. The basic variant (A) was designed independently by myself and by others
before me: Wei Fu, and Robin Glynn (with ...
I prepared this composition as decoration for the room where I would be holding origami workshops related to my
exhibition at Olsztyn Planetarium. During the...
Modular origami stars are quite addictive: I set out to create just one simple model for a workshop and before I knew it, I had about a dozen different desig...
A modification (variant B) of Star Ananke. The basic variant (A) was designed independently by myself and by others
before me: Wei Fu, and Robin Glynn (with ...
As part of preparations for my presentation and workshop on contemporary origami, I set out to design a simple modular star which I could teach in the worksh...
Once in a while, I design something other than a tessellation or a box. This geometric penguin model came about during Outdoor Origami Meeting as I was
playi...
Two folds of my Sunk Star Box with different twisting directions, side by side. Wherever there’s
a twist in origami, we get two possible versions of the fold...
An origami mansion, folded using several variants of my Building Block Units (BBU).
I re-used many of the modules which were earlier used for The Tower of Ba...
This is my Monument Valley Corrugation, squeezed inside Predictable Box which I designed for this very purpose.
The back side of the corrugation is less inte...
A Greek meander pattern folded as modular origami. The bent frame technique is the “Thoki Yenn style” which I also employed in a number of other models,
for ...
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...
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 ...
This picture shows a comparison of two variants of Simplified Shamrock Box:
Simplified Shamrock Box (on the left)
Slightly Simplified Shamrock Box (on the ri...
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 giant penguin (designed by Blanka Pentela (Blunek) ascending King-Kong style the
Palace of Culture and Science. This 250 m tall building was erected in War...
The Palace of Culture and Science (Pałac Kultury i Nauki) is a 250 m tall building which was erected in Warsaw in the
1950’s as a sign of Soviet domination. ...
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...
An origami bookmark (two pieces folded from different papers) featuring an elephant motif. Other animals’ heads can be designed in a similar fashion.
This mo...
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...
These boxes are decorated with a molecule of Super-Ninja Star Tessellation which is an extension of
Ninja Star Tessellation. The super-variant has larger bla...
Modular origami rendition of Taipei 101, one of the world’s tallest buildings. I thought reproducing this structure’s
characteristic staggered facade in orig...
Origami picture frame with two little hedgehogs on the bottom bar. The frame is based on this design.
The hedgehogs are a prototype of what later became Hedg...
A single molecule of my Maltese Cross Tessellation, which is closely related to the Cross Pattee Tessellation presented in the
Coat of Arms of Rzeszów model....
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...
Dog house designed by me using several modified variants of Building Block Units. All units
(3 for the roof and 13 for the walls and entrance) made from squa...
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 modular woven polyhedron not only looks nice, but it also has a very interesting
history of different people designing it independently. Those credited ...
This heart is made from a single module which is a modification of 90-degree unit (independently
discovered by me and others), so it’s like a modular design ...
Coaster made from 4 slightly modified Woven Slit Modules (WSM) folded from square paper.
The two sides of the coaster display different patterns. Six coaster...
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...
Another Saturn-themed origami, this time a modular made from my Woven Slit Module (WSM).
10 units are used altogether: 6 for the orb, 3 for attaching the rin...
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 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...
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...
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...
I designed this model as cover art for Surface Charging and Points of Zero Charge, a book by my father, Marek Kosmulski.
It is a reference work in electro- a...
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 ×...
This is a practical box made from Building Block Units connected using the
hook method. I use this box to store all my Crease Pattern
drawings of BBU variant...
Willis Tower (formerly Sears Tower) is an iconic skyscraper located in Chicago. The origami model presented here is made
from my Building Block Units (768 × ...
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...
This design can be extended indefinitely by adding more and more levels (a smaller, single-level variant is also possible). The walls are angled at 45 degree...
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...
This model does not represent any actual church. Instead, it freely mixes elements typically found in small churches (rectangular floor plan without transept...
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.
This particular model is made from 3 modules, but any number of modules from 2 upwards can be used to create similar models.
The only limitation is paper’s t...
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.
A Japanese style short-legged table. Have a look at the notes in description of meshed pyramid
for a discussion of the relation between these two models.
This model consists of just a 2-cube thick hull of a pyramid. This makes it possible to create a larger model with fewer modules than in the case of
a comple...
While it may not be obvious at first, this model has some features which make it strikingly similar to the business card table model.
The table’s top is cons...
This model is the size of a real chair. Unfortunately, it can’t support enough weight to be sat in. The surface is not covered in additional, “paneling” unit...
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...