## 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 ...

Abstract models do not directly represent any objects of the real world. Nonetheless, many can be described as representing something, for example mathematical object or abstract symbols such as letters and digits.

This page lists **models** of a single type. You might be interested in folding instructions instead.

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 ...

In this variant, the triangles are located in a deeper layer of paper, as if peeking through an opening in a wall.

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 is, along with Clover Folding, one of the oldest pictures of a tessellation folded by me (taken in June 2015).

Along with the Hydrangea, this is one of the oldest picture of a tessellation folded by me (taken in June 2015).

Along with the other Clover Folding model, this is the oldest picture of a tessellation folded by me (taken in June 2015).

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 ...

After a break, I’m back to presenting variants of molecules from the Woven Triangles tessellation series. Again, it’s a single tessellation molecule used to ...

Another simple model in which a cube is built from just two units. See also: Two-Unit Cube I.

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...

Logo of Scala programming language in origami. Folded from a single 2:1 rectangle of Kami.

A minimalistic self-similar origami design, in the style of Edward Mistretta’s recent works.

This model is just a tessellation of Crossed Box Pleats: the back side which you see here is the Crowding Butterflies model by Shuzo Fujimoto. I folded this ...

My Heart Bracelet II alongside the Traditional Bracelet with Squares from which it is derived.

I designed this simple bracelet with hearts based on a traditional bracelet that has a decoration of squares (check out a comparison of these models).

My idea behind this tessellation was designing something easy to learn for beginners but at the same to make it reasonably well looking. The models I have us...

Woven Triangles Tessellation V, folded from Elephant Hide paper. 32×32 grid for the whole model, 8×8 per molecule.

This model is the same as the first Pythagorean Tiling variant I folded, but the side length ratio of big squares to small squares is 3:2 instead of 2:1. As ...

This model took me longer than I expected, but better late than never, so: happy New Year 2021! This model uses a new tessellation molecule of mine which I h...

This is a very simple modular origami design I recently came up with when revisiting my Oxi unit from a few years ago. Given the simplicity of this design, I...

Woven Triangles Tessellation IV — this is the only variant in the series so far which uses a 10×10 grid per molecule rather than just 8×8.

This box is decorated with Whirlwind molecule which can also be used for a tessellation. Its design is closely related to my Woven Triangles family, but I ga...

This origami book features a portrait on the front cover, so I called it Biography. The structure of the book is basically the same as in my Long Story Short...

Just like all other models in the series, this origami tessellation is derived from Rectangle and Square Flagstone by applying squash folds in the right plac...

This model uses the same molecule as the symmetric version but all molecules have the same chirality. This causes each row and each column to be shifted by t...

This is the first model in my Woven Triangles series which you’ve already seen some examples of on boxes. This tessellation is derived from Rectangle and Squ...

This origami tessellation is built from the same kind of molecule as Pythagorean Tiling but molecules are arranged differently: in any pair of adjacent neigh...

The pattern this origami tessellation represents is known as Pythagorean Tiling or Two Squares Tessellation. I came up with this design independently, but it...

Triangles, folded from 32×32 grid. Since the molecule is 8×6 grid units, this leaves one grid unit of margin at the top and at the bottom of the model. You c...

Recently, I gave an Origami Connect workshop on my origami book model Long Story Short. Preparing for the workshop motivated me to revisit an idea which I ha...

Another member of the Woven Triangles family, single tessellation molecule on a box.

This origami box is decorated with a tessellation molecule from the Woven Triangle family. In contrast to Woven Triangles I, II and III, Woven Triangles IV m...

Another box with a tessellation molecule from the Woven Triangle family.

This origami tessellation is derived from my earlier Parallelograms Tessellation. By piecing together two symmetric “halves” of a parallelogram, we end up wi...

This is an older design I finally got some time to make a decent fold of. I’m pretty sure I’ve seen something very similar or identical to a single molecule ...

This origami tessellation is based on a geometric pattern I spotted on a door in the Barcelona Cathedral during my trip back from CfC 2 convention. A design ...

The base for this tessellation is identical to one of the intermediate steps of folding Lucky Star Tessellation and seems to be something Tomek Siwak also ca...

I recently stumbled upon an older model of mine, Growth Tessellation, in one of my boxes, and I decided to rework it a little. I added just a few touches whi...

This model is based on a simple technique which I used also in Growth and Square Pixel Tessellation models. Other interesting arrangements, with more or less...

This origami tessellation was inspired by a pavement pattern I noticed some time ago in my home city of Lublin, Poland, at the old cemetery and in the open-a...

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 model is derived from my Radioactive Tessellation by adding a triangular frame around the radioactivity symbol. This change also makes it possible to sh...

Happy New Year 2020! Here’s an origami tessellation with the number 2020, folded from a 2:1 rectangle of Satogami paper.

I designed this model as a wedding gift, starting out from my Framed Heart model.

A recent design of mine, this tessellation is relatively simple to fold, but the end result looks quite interesting. On the back side, I used some modified t...

This tessellation is derived from Lucky Star Tessellation, but due to the different arrangement of paper layers, this one can’t be fractalized. The outline o...

This model uses an improved version of my Broken Heart Molecule. I call this version simply Heart Tessellation II / Molecule (II because of a Heart Tessellat...

This model uses an improved version of my Broken Heart Molecule. I call this version simply Heart Tessellation II / Molecule.

This is a level-7 Lucky Star Fractal, the largest number of levels I folded so far.

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...

Here is the first model in my tea tag origami series, a Tea Tag Heart.

This tessellation comes in two molecule variants. Despite being a kind of twist, molecules can be made to turn left or right independent of each other, i.e. ...

This is a tessellation of the molecule which I first used in Lucky Star Box and which I later extended into Lucky Star Fractal. As I learned after the fact, ...

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 ...

This origami tessellation, hand-folded from a single sheet of Biotope paper, without any cutting or glue, demonstrates my new approach to cleanly separating ...

Another attempt at folding the subject of Star of Bethlehem, this time using the Lucky Star molecule (invented independently with Fujimoto, Haligami and many...

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 ...

This origami tessellation combines elements from some of my other models. While reading Robert Lang’s tessellation book, I realized that many molecules can b...

This model shows how the basic molecule of my Sunflower Tessellation can be modified in order to rearrange the direction the individual “seeds” are pointing....

This is a model I will be teaching in just two weeks at a workshop during the 2018 CDO origami convention in Italy. The star can be used as a tessellation mo...

It took me 1½ years before I decided to fold my Sunflower Tessellation once again, this time from rare yellow Elephant Hide paper. I think this is a better ...

Mini-Sunflower Tessellation, folded from Kaiser (Stark) paper.

A refold of my older design, Stacked Propellers Tessellation, this time as a complete tessellation rather than a single molecule.

A new fold of my older model, with slightly different angles. As the name says, the molecule is a square twist with spread-sinks in the corners of the centra...

Origami box with Lucky Star molecule. The molecule can be tessellated and is based on hexagonal 8×8×8 grid.

A tessellation derived from my other model, Woven Rhombi. 4×4 grid units per molecule, or 8×8 if you want to consider a complete hexagonal tile a molecule.

A modification of my earlier design, Double Spearhead Tessellation. Due to the double bottom with more paper layers, this model doesn’t look as nicely back-l...

A new tessellation design of mine, 8×8 square grid per molecule. Awagami Kozo Natural Select paper courtesy of Melina Hermsen. Since this was my first fold u...

A larger fold of my Ridges Corrugation, folded from a 32×32 grid. Folded from the big grid, the model curls up more than the 16×16 version and can be used as...

This is a design derived from my Square Interlace Tessellation. A more precise name would be Pursed Square Interlace Tessellation but I found it too technica...

An origami tessellation for Good Friday. The basic structure of the Latin cross is based on Shuzo Fujimoto’s Hydrangea and could easily be modified to have d...

This is Her Majesty’s Tessellation (own design) folded from a 64×64 diagonally rotated grid. The spacing between molecules is less dense than in the 32×32 gr...

A different arrangement of the same molecule as in my Dune Tessellation. Some other arrangements are also possible with a bit of tweaking.

A different fold of Ridges Corrugation. The back-lit view shows how the corrugation folded from a square ends up a rhombic shape.

Happy New Year 2018! This is the first fold of my recent idea for making pixel tessellations, called Butterfly Pixel Tessellation. The molecule is basically ...

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 new design of mine, Dune Tessellation (long slit variant).

A new origami corrugation of mine. The model tends to curve slightly but in this case it actually makes it more interesting rather than being an issue. You c...

An improved version of my Celtic Cross. Based on standing crosses found throughout the British Isles.

The same molecule as in Her Majesty’s Box, used for a tessellation. Diagonally rotated square grid, 32×32.

A box designed on my way back home from BOS50 convention (I had the idea for the molecule earlier, though). Folded from a sheet of gold-red Washi.

A new box, aptly named Her Majesty’s Box, taking shape on the train back from the 50th Anniversary Convention of British Origami Society. Both the convention...

This origami tessellation represents Union Jack, the flag of the UK. Since the pattern is quite intricate, even a single molecule can make an interesting mo...

This is a tessellation which represents a heart. The heart can be shaped to become a broken heart, which allows the model to be treated as action origami. Th...

Kotlin is a programming language for the Java Virtual Machine (JVM) which is gaining in popularity. Having used it for some time, I’m quite happy about the r...

A box with a heart, which is also an action origami model. When things go wrong, the heart can be reshaped into a broken heart. The heart itself can be tesse...

A box with a ribbon bow, constructed using a molecule of my Sunflower Tessellation and with color change. This is a variant where the ribbon runs along the d...

Flower Tessellation, designed by Meenakshi Mukerji. The molecule is derived from the Crossed Box Pleat (CBP). I folded and photographed this model for Meenak...

Box with a ribbon bow, constructed using a molecule of my Sunflower Tessellation and with color change added to make the ribbon stand out better from the bac...

Folding Stars and Squares Tessellation from a diagonal grid (rotated 45°) leads to an interesting effect. At the edges, small triangles form, creating a jagg...

A back-lit picture of Stars and Squares Tessellation, invented independently by me and Shuzo Fujimoto. You can find a similar backlit picture of this model i...

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...

While designing Scroll of time: 2017, I needed a widget which would allow me to have some square twists on one side of the paper and then to smoothly transit...

A quick tessellation of hearts. Molecule design is somewhat similar to Heart Tessellation by Haligami (Halina Rościszewska-Narloch).

This is a minimalistic version of my Sunflower Tessellation, folded from a 16×16 grid. It consists of just a single molecule surrounded by petals, and thus c...

My new tessellation design, folded from a single sheet of Tant paper.

Bed of Nails 3D, an origami tessellation folded from a single sheet of Elephant Hide paper; no cutting or glue. It is possible to adjust the length of the sp...

Another fold of Five Intersecting Tetrahedra (FIT), this time with silver metallic paper.

I wanted to try something new this year, so I folded this model from thin parchment paper whereas most of the time I use much thicker papers. Modern parchmen...

This free-standing cross was inspired by high crosses — stone monuments erected throughout the Middle Ages in Ireland and Britain.

This is what you get when you take Stars and Squares Tessellation and take away the squares. What is left is Just Stars!

Another variant of my Chevron Corrugation.

This box is decorated with a pattern of Square Interlace Tessellation. I designed it as a container for a matching bracelet which is visible in some pictures...

Most boxes I design are two-part boxes: the lid and the bottom part are made from two separate sheets. This one is a flat, single-piece box (almost a tato): ...

This seven-sided star shape can be used as one half of a two-piece box or alone as an ornament. This heptagonal star design is based around my Chevron Corrug...

I designed this tessellation as a variant of Momotani’s Wall with some extra spacing between the bricks added (hence the name Brick and Mortar Tessellation).

This is a new variant of my Chevron Corrugation. The variant shown here was designed by myself, and, as I later learned, also by others, though with differen...

A refold of my Square Interlace Tessellation with graphite Elephant Hide paper. I think it’s much better than my original fold — funny how over time one lear...

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...

A box decorated with a molecule of Super-Ninja Star Tessellation which is an extension of Ninja Star Tessellation. The super-variant has larger blades.

A box decorated with a molecule of Super-Ninja Star Tessellation which is an extension of Ninja Star Tessellation. The super-variant has larger blades.

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.

Walled Garden Tessellation, designed and folded by me. Molecule based around a 12×12 grid.

Box with a single molecule of my Twisted Bird Base Tessellation.

The original Diamond Corrugation was invented independently by Ilan Garibi and Andrea Russo (who used the name Triangùli in speculo).

This piece uses an 18×18 grid but since each molecule is 4×4, a 16×16 grid works as well, though you get a straight edge instead of the overhanging rhombi. I...

Model designed on my plane back from UK which I visited just days after the Brexit vote. The British Flag itself can be used as a tessellation molecule and t...

Another tessellation disguised as a box so that I can get away with folding just a single molecule, but I do plan to fold a full-fledged tessellation some ti...

There is only one kind of molecule in this origami tessellation, but depending on how you look, you can see two different kinds of flowers here, hence the na...

This origami model is a variant of my Stacked propellers Tessellation. It is named after Laputa, the flying island described in Gulliver’s Travels. I thought...

Box with a single molecule of my Two-in-One Flower Tessellation. This pattern is derived from four molecules of Double Spearhead Tessellation slightly modifi...

Cluster Tessellation, designed and folded by Michał Kosmulski. There are several different ways of achieving a similar effect but with a slightly different p...

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....

Coat of arms of the city of Rzeszów, executed in origami from a single square sheet of paper. The cross visible in the center of the shield, known as Cross p...

This origami box is decorated with a single molecule of Nuclear Flower Tessellation, a variant of Two-in-One Flower Tessellation. The name stems from the fac...

I refolded my Sprout Tessellation for the German Origami Convention in Erkner. Asymmetry and folding the grid at an angle relative to paper edges are inspire...

This origami tessellation is made from Square Pixel Tessellation molecule variants which allow the molecules to be made in different sizes.

My Hugging Triangles Corrugation, executed in fabric-covered paper with aluminum foil backing (three-layer composite material).

This is an origami design derived from my Square Pixel Tessellation. It was featured in Robert Lang’s tessellation book.

Iso-area variant of my Tympanum Corrugation. Since both sides are the same, there is no net tension, and the model stays flat without trying to curl up.

This is my recent design for folding arbitrary bitmap images as origami tessellations. Unlike using four-sink-base (see Saturn Tessellation), each molecule r...

A new origami design of mine, called Tympanum Corrugation because it resembles the tympanum of a Greek temple. The idea came to me after I designed this dog ...

Sprout Tessellation, designed and folded by Michał Kosmulski. Derived from my Squares and Crosses Tess.

My recent design, derived from Ninja Star Tessellation. 6×6 square grid per molecule. This design can be further modified (pictures coming up soon).

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 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 ...

This tessellation is a very simple variation of the standard square twist which results, nonetheless, in an interesting pattern. Each of the four corners of ...

I came up with this design while playing with variants of my Propellers Tessellation but then realized that many others had already come up with this pattern...

This is the short-blade variant of my Propellers Tessellation. Molecule is 6×6 grid units but in this rendering an extra margin of one unit is added.

This tessellation is closely related to my Square Interlace Tessellation. Grid is 8×8 per molecule. Here you can see the variant with long propeller blades b...

Welcome to 2016! This seven-segment display, executed in origami, shows the current year, and is folded from a single sheet of Elephant Hide paper. With a li...

This is a variant of my Chevron Corrugation in which every other row of chevrons is reversed, i.e. pointing down instead of up. This makes the corrugation is...

Corrugation, designed and folded by me, but later I learned that Daniel Kwan folded this pattern before, inspired by a similar model by Charles Hoberman (det...

After tessellating the blintzed bird base, a natural next step for me was to double-blintz it. Bird base blintzed two times can be tessellated, and it result...

This corrugation is exactly what it says on the tin: blintzed bird bases tiled side by side. Large tilings have a slight tendency towards curling, but it can...

This origami model consists of the simplest molecules of my Twisted Bird Base Tessellation. Each molecule is basically a bird base with the central part rais...

This is a picture frame for 16:9 format, decorated with a variant of my Lily Pond Tessellation. The lilies were modelled on top of four-sink bases instead of...

The molecule is 6×6 grid units, so normally 3×3 molecules would require an 18×18 grid. Since folding power-of-two grids is much more convenient than others, ...

This is a more conventional way of folding my square interlace tessellation than the bracelet. I believe this model to be my first truly original tessellatio...

Bracelet featuring a new design of mine, the Square Interlace Tessellation.

I recently came up with the idea of the Twisted Bird Base Tessellation. As the name implies, it is based around the bird base which is folded with some extra...

This tessellation is based on the sunk square twist pattern (visible in one of the images: it is the stage before shaping any of the molecules into flower sh...

This pattern I recently came up with seems to have a lot of potential for square grid tessellations. I have a number of interesting patterns based on it whic...

Another design of mine with octagonal symmetry. This is a fairly simple model, so it may have been developed by others independently.

Own design, inspired by Meenakshi Mukerji’s Wondrous one sheet origami. Folded from a square, but you can trim it down to an octagon if you accept cutting th...

This kind of tessellation is not very interesting in itself, but has been invented and used by many authors independently as basis for more advanced designs....

I came up with this model when playing around with hex twists. It’s quite simple, so it may have been invented before. This pinwheel shows a nice color chang...

This is the octagonal version of Pinwheel with Color Change.

This is a rather obvious variant of the classic Zig Zag Corrugation, so it’s certainly been done by others before. This model was mostly free-folded with onl...

At first sight you might see only octagons and squares in this corrugation. But, in my opinion, the interesting part is the small triangles placed pairwise i...

A very simple design, so it’s probably been invented before. Inspired by Pineapple Tessellation and its variants. Paper aspect ratio of approximately 5:1.

This is my design which extends Ilan Garibi’s Pineapple Tessellation. In this version, the pineapple is larger: the central pleated part is two grid diagonal...

Yet another fine example of me reinventing the wheel. After I designed this pattern, I found out it had been already published — in 1982 (!) — by no less tha...

This variant of my Bed of Nails Tessellation features longer nails, which have additionally been sharpened at the tips compared to the basic version.

I was inspired to design this tessellation resembling a bed of nails after a comment from P. Colman on flickr regarding my Fenced Tiling of Fujimoto’s Clove...

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 ...

This is about as simple a model as it gets (just 6 units).

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...

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...

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...

Variant of my Name Plate where both pyramids are pointing outwards. Can be used as candy wrapping or to wrap a gift.

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 ×...

Named after a poem, this model is — strictly speaking — just a spiked icosahedron.

A single-sided surface, the Möbius Band is one of the more interesting mathematical objects that can be reproduced in origami.

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...

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.

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 consists of flat bands of units which create an outline of the rhombicuboctahedron. It uses 48 modules: 18 × D4, 18 × A2, 12 × A4.

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...

Model uses 192 modules: 120 × A1, 72 × A2

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.

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...

Cube from 12 modules: 6 × D9, 6 × A1.

Cube from 12 modules: 6 × D18, 6 × A1.

This composition is made from 75 modules: 36 × A1, 30 × A2, 6 × D1, 3 × E4.

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...

Compare with the same solid folded from standard Sonobe units.

Compare with an octahedron built using the same technique (octahedron’s page also discusses the technique in more detail).

This cube uses PVM Edge Connector Units to create extra distance between the Vertex Modules.

The result of using the sunken variant of PVM Vertex Unit is a cube with four vertices replaced by inverted pyramids.

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.

This is a physically large model which demonstrates how StEM units made from sheets of different proportions can be combined (obviously, all rectangles’ shor...

Normally, Toshie’s jewel is made from Sonobe units, but this one is made from StEM units instead.

In this model, each face of an icosahedron was replaced with a triangular pyramid made from three units.

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 ...

Compare this model with a version folded from SEU units.

Compare this model with a version folded from StEM units.

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 from the left) is compared here with some other simple polyhedra folded from the same kind of module.

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).

Made from Tomoko Fuse’s Open Frame II (plain) unit, polyhedron design by me.

See also the same design with different coloring.

Made from Tomoko Fuse’s Open Frame I (bow-tie motif) unit, polyhedron design by me.

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...

Model folded from a unit I made specially for this purpose.

I designed the simple unit used for this model and later learned that it had been already published before by Jose Arley Moreno.

Model folded from Warsaw public transport tickets (back side with magnetic strip visible). 192 modules: 120 for the body and 72 for coating.

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.

Compare with an icosahedron constructed from units modified by me in a similar manner.

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.

Compare with a dodecahedron constructed from units modified by me in a similar manner.

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.

Model is placed near a real Poinsettia flower for comparison.

Just like the pyramid, this is a shell with an empty inside.

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...

The model’s name is a reference to the Golden Sphere from Roadside Picnic.

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...

You can squeeze this model and transform it into an icosahedron, closing the empty space between units. This is called the jitterbug transformation.

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...

See also: icosahedron from same units but pointed inwards.

See also: icosahedron from same units but pointed outwards.

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 ...

Model is also known as WXYZ Diamonds.

This puzzle, described in Hugo Steinhaus’ book Kalejdoskop matematyczny (Mathematical Snapshots, literally Mathematical Kaleidoscope) consists of six pieces,...

Apart from this basic version, I also made a variant of this model which has additional “fins” on the icosahedron’s edges.

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 is similar to the spiked icosahedron, but apart from the spikes on all faces, the icosahedron also has “fins” placed on its edges.

See also the same design with different coloring.

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...

This is one of the rather few modular origami designs which use an odd number of units. Compare also with another similar model.

This is one of the rather few modular origami designs which require an odd number of modules. Compare also with another similar model.

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 ...

Compare also with level-1 version of the same fractal.

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...