Two-Unit Cube III
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...
Multi-sheet models
Multi-sheet models are folded from more than one sheet of paper (but, at least in pure origami, these sheets are connected only by means of folding).
This page lists models of a single type. You might be interested in folding instructions instead.
Hex Twist Star (CFW 106) comparison of patterned Washi and Tant folds
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...
Tetris
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 ...
Star Lethe
I think this is the last star from my 2019 modular star craze that I haven’t published before.
Spiked Icosahedron (WASS with color change)
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...
Star Kratos
Another design from my 2019 modular star phase.
Daisy
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 ...
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...
Family Portrait of Boxes with Woven Triangles I-XVI
These pictures show sixteen boxes decorated with tessellation molecules belonging to the Woven Triangles family, folded in the years 2020-2021. All boxes wer...
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.
Heart, Ladybug, and Mushroom on BBU Cube
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...
Alien Vase
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...
Star Ioke
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...
Spiked Icosahedra from Three Sonobe Variants
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...
Star Hecate
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...
Origami in Shades of Gray
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...
Tetrahedron (Dark Garden pattern)
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...
Comparison of Scissors Fractal Variants — alternating and consistent rotation direction
A comparison of two variants of Scissors Fractal: one with consistent rotation direction for all levels and one with alternating rotation directions.
Hedgehog Star III (with proper color change)
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...
Hedgehog Star III
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...
Spiked Icosahedron (Checkered Sonobe)
Spiked icosahedron, folded from my Checkered Sonobe units.
Hedgehog Star II (proper color change)
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...
Star Phobos (variant B)
A variant of Star Phobos that has additional decoration in the center of the star on the front side.
Star Glycon
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...
Ninja Star
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...
Shiba Inu
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...
Star Phobos (variant A)
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...
Hedgehog Star II
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...
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...
Star Ananke (variant E)
This variant of Star Ananke has additional little rays in the center.
Fortune Teller Christmas Tree
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...
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...
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. ...
Star Eris 1.1 (variant B)
A variant of Star Eris with modified center.
Star Eris 1.1 (variant A)
Yet another simple design from the time I got into modular origami stars. Unpublished version 1.0 used a less effective lock between the units.
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...
Conveyor Belt (CBU)
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 ...
Chain (CBU)
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...
Star Deimos (variant D)
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...
Trefoil Knot
A trefoil knot from a single Cross Lap Unit.
Cube (BBU E7)
Another cube from BBU-s: 6 × E7, 6 × D4 6 × A1.
Spiked Icosahedron (WASS)
A spiked icosahedron made from Weird Asymmetric Sonobe (WASS) units.
Python Logo II
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 ...
30-60-90-Degree Star
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...
Star Deimos (variant C)
A variant of Star Deimos in which the rays are asymmetrically narrowed on one side, giving the star’s outline the appearance of a saw blade.
Caffeine (Springy Unit)
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...
Hexagonal Honeycomb II (SBA-15)
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...
Star Deimos (variant B)
Variant B of Star Deimos differs from the base shape only by a single fold which reveals more of the white side of the paper in the center.
Spiked Icosahedron (Bow-Tie Sonobe)
Spiked icosahedron, folded from my Bow-Tie Sonobe units (also independently designed by tomoko07011209 around the same time).
Lucky Star Fractals (10 different colors)
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 ...
Heart-Shaped Coil
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...
Red and White Hare
Two Dollar Bill Hares, looking at each other.
90-Edge Buckyball (PHiZZ Variant IV)
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...
Two-Unit Cube II
Another simple model in which a cube is built from just two units. See also: Two-Unit Cube I.
Spiked Icosahedron (Paper Airplane Sonobe)
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...
Heart Bracelet II and Traditional Bracelet Comparison
My Heart Bracelet II alongside the Traditional Bracelet with Squares from which it is derived.
Two-Unit Cube I
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 ...
Origami Fog Stoppers for Face Mask
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...
Tent-Like House
A simple house from my Building Block Units, designed for a workshop with architecture students.
Star Chaos (variant B)
Variant B of my Star Chaos. Modular origami model from 6 units. Duo paper courtesy of a friend.
Star Deimos
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
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 ...
Fear Not
Fear not. Stay home. Be patient. 2 × origami eye, wet-folded from watercolor paper.
Star Boreas
An octagonal modular star. Own design, folded from Harmony paper.
Star Ananke (variant G)
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...
Star Ananke (variant F)
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...
Star Ananke (variant D)
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...
Cottage 1.1
This is an improved version of my origami Cottage, made from Building Block Units.
Star Ananke (variant D) with Angels
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...
Star Ananke (variant C)
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 ...
Ad Astra
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...
Star Chaos (variant A)
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...
Star Ananke (variant B)
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 ...
Star Ananke (variant A)
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...
The Little Prince and the Fox
Le Petit Prince, designed by Viviane Berty, and Fox Baby, designed by Daniel Chang. Folded and arranged by me.
Fat Penguin
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...
Sunk Star Boxes (two enantiomers)
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...
Mansion
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...
Monument Valley Corrugation
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...
Meander
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 ...
Clover Folding (Fujimoto) and Lookalike (Kosmulski) side by side
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...
Hydrangea Cube (Harmony paper)
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 ...
Simplified Shamrock Box Variants
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...
Lelum Cube
A modified version of Lelum Polelum Cube where one out of each pair of flaps is hidden.
Lelum Polelum Cube
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.
FIT (Five Intersecting Tetrahedra), silver
Another fold of Five Intersecting Tetrahedra (FIT), this time with silver metallic paper.
Penguin Attack
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...
Palace of Culture
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. ...
Mesos Logo (Cube-Hexagon Illusion)
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...
Elephant Bookmark
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
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...
TensorFlow Logo
This is a real-life rendition of the TensorFlow logo in origami, using the Business Card Cube Unit.
Purple 90-Edge Buckyball (PHiZZ Variant II)
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...
Box with Super-Ninja Star Tessellation — Comparison of Variants
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...
Spiked Icosahedron (StEM face variant) from Kami
This kusudama is a refold of an old spiked icosahedron model of mine with nicer paper. It’s a modular design which uses 30 units.
Taipei 101
Modular origami rendition of Taipei 101, one of the world’s tallest buildings. I thought reproducing this structure’s characteristic staggered facade in orig...
Picture Frame with Hedgehogs
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...
Maltese Cross Framed
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....
Modular Picture Frame
A modular version of this picture frame. Folded from 4 units, each from 1:2 paper.
Puppy in Front of a Doghouse
A Business Card Puppy (Larry Stevens) sitting in front of BBU doghouse (Michał Kosmulski).
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...
BBU Doghouse
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...
A Pile of Books
Origami books of different shapes and sizes. The model used here is my Long Story Short, version 1.1 which has a slightly improved lock.
A Dog Reading
Reading matters.
Dachshund in Doghouse
Yara Yagi’s dog is standing in front of a doghouse designed be me specially to match this model.
Heart (CLU)
Origami heart made from a single Cross Lap Unit (CLU), using a similar technique as my Ichthys. Metallic paper with acrylic paint.
Ichthys
Easter is coming so with fluffy bunnies and cute chickens aplenty, it’s good to also add this fish to the pack.
Lotus Cube
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 ...
Six Intersecting Pentagrams (SIP)
This modular woven polyhedron not only looks nice, but it also has a very interesting history of different people designing it independently. Those credited ...
Single-Module Modular Heart
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 ...
Hare under a Christmas Tree
Dollar Bill Hare designed by Barth Dunkan, Christmas Tree designed by Artur Biernacki.
Coaster (WSM)
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...
Coaster Cube
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 ...
Fir Cone / Christmas Ornament
These fir cones make nice Christmas tree decorations. Designed by myself, they are based on the pleated part of Super Pineapple Tessellation.
Flower Icosahedron (StEM)
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...
Cube from Recursive Four-Sink Base
This cube is made from six units, each of which is a recursive four-sink base modified for use as a module.
Saturn (WSM)
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...
Fractal Pinwheel Cube
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.
The Tower of Babel
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...
Spiked Octahedron (WSM)
Spiked octahedron made from my Woven Slit Module (WSM), 48 units from 3:1 paper.
Cube with Depressed Edges (BBU E9)
Made from my Building Block Units (BBU), modified E9 variant.
Hydrangea Icosahedron
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 ...
Cube (3:2 paper, slits outside)
This is about as simple a model as it gets (just 6 units).
Cube (2:1 paper, woven connection, slits outside)
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...
Cube (2:1 paper, woven connection, slits inside)
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...
Cube (2:1 paper, slits outside)
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...
Adjustable Cube
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 (stacking variant)
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...
Crystal Structure of Gibbsite
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...
Knobby Cube
Another combination of Building Block Units and tessellations, this time Fujimoto’s Clover Folding, folded without the decorative margin. 18 modules: 6 × BB...
Square Weave Cube
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...
Hydrangea Cube
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...
Clover Cube
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 ×...
Chopin’s Grand Piano (Spiked Icosahedron)
Named after a poem, this model is — strictly speaking — just a spiked icosahedron.
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.
2×2×1 box
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...
Sears Tower / Willis Tower
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
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...
Gasherbrum
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 from StEM modules
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...
Spiked Icosahedron (BBU D2)
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...
Rhombicuboctahedron with Triangular Faces Left Out (BBU D4)
This model consists of flat bands of units which create an outline of the rhombicuboctahedron. It uses 48 modules: 18 × D4, 18 × A2, 12 × A4.
Rectangular Cuboid
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...
Menger Sponge (BBU)
Model uses 192 modules: 120 × A1, 72 × A2
Hexagonal Honeycomb
This structure can be extended indefinitely to fill the plane with a hexagonal pattern. By adding more layers it can also be expanded up and down.
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...
Expanded Hexagonal Prism
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...
Egyptian Pyramid
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...
Cube (BBU E10)
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...
Cube (BBU D9)
Cube from 12 modules: 6 × D9, 6 × A1.
Cube (BBU D18)
Cube from 12 modules: 6 × D18, 6 × A1.
Cottage
A very simple building without many details. I later improved the design while preserving its simplicity (see Cottage 1.1).
Church
This model does not represent any actual church. Instead, it freely mixes elements typically found in small churches (rectangular floor plan without transept...
Bell Tower
Inspired by traditional Polish wooden churches and the wooden belfry in Paczyna.
Abstract composition “T”
This composition is made from 75 modules: 36 × A1, 30 × A2, 6 × D1, 3 × E4.
Spiked Pentakisdodecahedron (SEU Sonobe)
Compare with the same solid folded from standard Sonobe units.
Icosahedron with Inverted Spikes on all Faces
Compare with an octahedron built using the same technique (octahedron’s page also discusses the technique in more detail).
14-Spoked Wheel
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...
Large Cube
This cube uses PVM Edge Connector Units to create extra distance between the Vertex Modules.
Cube from Sunken Vertex Units
The result of using the sunken variant of PVM Vertex Unit is a cube with four vertices replaced by inverted pyramids.
Truncated Cuboctahedron with Inverted Spikes on Octagonal Faces
This is a physically large model which demonstrates how StEM units made from sheets of different proportions can be combined (obviously, all rectangles’ shor...
Toshie’s Jewel (StEM)
Normally, Toshie’s jewel is made from Sonobe units, but this one is made from StEM units instead.
Spiked Icosahedron (StEM)
In this model, each face of an icosahedron was replaced with a triangular pyramid made from three units.
Spiked Icosahedron (StEM face variant)
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...
Octahedron with Inverted Spikes on all Faces
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...
Menger Sponge, level 1½ (StEM)
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...
Icosahedron with Inverted Spikes on all Faces
This model shows how StEM units can be modified so that their short rather than their long axis is aligned along the model’s edge.
Tetrahedron (StEM)
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...
Tetrahedron (SEU Sonobe)
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...
Tetrahedron (SEU from 2:1 paper)
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...
Spiked Octahedron (rotated link method)
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...
Spiked Icosahedron (Sonobe link method)
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...
Spiked Icosahedron (reversed SEU link method)
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...
Spiked Icosahedron (SEU link method)
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...
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 ...
Rhombicuboctahedron
Compare this model with a version folded from SEU units.
Rhombicuboctahedron
Compare this model with a version folded from StEM units.
Octahedron (StEM, modules pointing outside)
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...
Octahedron (StEM, modules pointing inside)
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...
Octahedron (SEU Sonobe)
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...
Octahedron (SEU from 2:1 paper)
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 ...
Cube (StEM)
This model (second from the left) is compared here with some other simple polyhedra folded from the same kind of module.
Cube (SEU Sonobe)
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).
Cube (SEU from 2:1 paper)
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).
Truncated Icosahedron with Tessellated Hexagonal Faces and Inverted Pyramids on Pentagonal Faces
Made from Tomoko Fuse’s Open Frame II (plain) unit, polyhedron design by me.
Spiked Dodecahedron (SSIT)
See also the same design with different coloring.
Truncated Octahedron (Open Frame Unit)
Made from Tomoko Fuse’s Open Frame I (bow-tie motif) unit, polyhedron design by me.
Menger Sponge (level 2)
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 ...
FIT (Five Intersecting Tetrahedra) in other colors
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...
Spiked Icosahedron
Model folded from a unit I made specially for this purpose.
Spiked Icosahedron
I designed the simple unit used for this model and later learned that it had been already published before by Jose Arley Moreno.
Ticket Menger Sponge
Model folded from Warsaw public transport tickets (back side with magnetic strip visible). 192 modules: 120 for the body and 72 for coating.
Ticket Cube
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.
Truncated Octahedron
This was one of my early modifications of the 60° unit. Note that in this modification, the angle at the module’s tip is NOT 60 degrees.
Flower Icosahedron (60°)
Compare with a dodecahedron constructed from units modified by me in a similar manner, and with a model with the same structure but using StEM units.
Flower Dodecahedron (60°)
Compare with an icosahedron constructed from units modified by me in a similar manner.
Christmas Ornament (TEM)
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...
Spiked Icosahedron (Sonobe variant)
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.
Icosahedron
You can compare this model, which uses straight, unmodified units, with two models made from the same units after slight modification: Flower Icosahedron and...
Umbrella Dodecahedron
The module, originally designed just for folding this dodecahedron, can be also used for other kinds of models. See, for example, this spiked icosahedron.
Poinsettia Ball
Model is placed near a real Poinsettia flower for comparison.
Small Table
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.
Pyramid (6 levels high)
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...
Octahedron (5 levels)
Just like the pyramid, this is a shell with an empty inside.
Meshed Pyramid (8 levels high)
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...
Life-Sized Chair
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...
Golden Ball (Snub Dodecahedron)
The model’s name is a reference to the Golden Sphere from Roadside Picnic.
Decorated Dodecahedron (Penultimate 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...
FIT (Five Intersecting Tetrahedra)
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...
Truncated Cube (PHiZZ)
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...
Modified Buckyball (120 edges)
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...
Jitterbug Icosidodecahedron
You can squeeze this model and transform it into an icosahedron, closing the empty space between units. This is called the jitterbug transformation.
Icosahedron (Penultimate units pointing out)
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...
Decorated Icosidodecahedron
One of the larger models I have designed, this icosidodecahedron has pentagonal faces made up of small triangular pyramids and triangular faces replaced with...
Icosahedron (120° units pointing outside)
See also: icosahedron from same units but pointed inwards.
Icosahedron (120° units pointing inside)
See also: icosahedron from same units but pointed outwards.
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)...
Spiked Pentakisdodecahedron (Sonobe)
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 ...
WXYZ
Model is also known as WXYZ Diamonds.
Tux, the Linux penguin
Tux the penguin is a mascot of the Linux operating system. The logo was created by Larry Ewing () using The GIMP.
Steinhaus Puzzle
This puzzle, described in Hugo Steinhaus’ book Kalejdoskop matematyczny (Mathematical Snapshots, literally Mathematical Kaleidoscope) consists of six pieces,...
Spiked Icosahedron (Trimodule)
Apart from this basic version, I also made a variant of this model which has additional “fins” on the icosahedron’s edges.
Spiked Icosahedron (Penultimate Unit)
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...
Spiked and Finned Icosahedron (Trimodule)
This model is similar to the spiked icosahedron, but apart from the spikes on all faces, the icosahedron also has “fins” placed on its edges.
Spiked Dodecahedron (orange)
See also the same design with different coloring.
Sierpiński Tetrahedron, level 3 (Trimodule)
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...
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.
Menger Sponge, level 1½ (Penultimate unit)
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...
Large Icosahedron
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 ...
Koch Snowflake, level 2 (Trimodule)
Compare also with level-1 version of the same fractal.
Koch Snowflake, level 1 (Trimodule)
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...
3D Koch Snowflake (Trimodule)
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...
Blintz Icosidodecahedron
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...