Embedded Files
Tessellations
These tessellations were folded in 2025.
Well I (keychains)
Well I (keychains)
Date: 12/30/2025
Model: Well I
By: Michał Kosmulski
Paper: 15cm patterned/solid color kami (24-square grid)
After sharing my lattice tesselations with the Origametry Discord community, Madonna Yoder suggested I also look into isoarea closed square twists as an alternate lattice pattern. I noticed a pattern on Kosmulski's site that used these twists and decided to reverse engineer them, and the pattern fit very neatly into these photo keychain holders.
Lattices (hexagon)
Lattices (hexagon)
Date: 12/xx/2025
Model: Overlapping open hexagon twists and open triangle twists
Paper: 25cm diameter green kami (24-triangle grid), 25cm diameter blue kami (32-triangle grid), 12" blue sky kozo (48-triangle grid), 35cm light green tant (48-triangle grid)
I decided to apply the lattice setup to a triangle grid. I've already folded an open hexagon twist/closed triangle twist by Joel Cooper (Basket Weave) so I decided to simply swap the triangle twist to a larger version for a lattice that encloses both hexagons and triangles.
The back side of the model shows the overlapping nature of the twists.
When backlit, the lattice lines contrast sharply with the hexagon and triangle windows.
The lattice on blue sky kozo, where the texture and pattern of the paper provide some extra depth to the piece.
The lattice on light green tant. Certain areas of the paper were colored before collapsing so that the triangles appear in metallic rose and the hexagons in metallic purple, further emphasizing the design.
Lattices (square)
Lattices (square)
Date: 11/xx/2025
Model: Various mixes of overlapping square twists
Paper: 6" two-sided kami (pattern/solid color), 9"x12" tracing paper, 12"x16" rice paper
I began noodling around with square twist arrangements, realizing that if I overlapped their corners, the resulting weave on the other side would be only one pleat across. This led to a fun mix of lattice designs.
A lattice with only overlapping open square twists leads to a repeating single pleat-sized window.
The backside of the overlapping open square twists.
Overlapping open square twists lattice when backlit.
A lattice with only overlapping double open square twists leads to a repeating 2x2 pleat-sized window.
The backside of the overlapping double open square twists.
Overlapping open square twists lattice when backlit.
A lattice alternating open square twists and double open square twists leads to a pleasant combination of window sizes.
The alternating twists lattice when backlit.
The backside of the alternating twists lattice shows mostly the twists when backlit.
Star Windows
Star Windows
Date: 11/xx/2025 - 12/xx/2025
Model: Open hexagon twist flagstone
Paper: 36cm diameter hexagon on pink kami (48-triangle grid), 12.5" diameter hexagons on various aurora papers (32-triangle grid)
I stumbled upon this while doodling about trying to create open hexagon twist overlaps with other shape arrangements. Although the hexagon tiling is almost boringly straightforward, the triangle twist side looks like it has sunken star shaped windows. Filling them in with additional patterns emphasizes this more.
The hexagon side of the model is a simple tiled affair.
The triangle twist side of the model is a lot more complex, with the connected triangles floating over the background.
Backlit, the star window shape is especially apparent.
Orange aurora paper with inserts of dark red kami featuring a floral and crane pattern.
Green aurora paper with inserts of black kami featuring a magenta geometric design.
Dark blue aurora paper with inserts of dark blue kami patterned with red, orange, and purple fans.
Magenta aurora paper with inserts of black kami featuring a crane pattern.
Green aurora paper with inserts of red kami featuring a floral design.
Light blue aurora paper with inserts of kami patterned with a red, orange, and blue geometric pattern.
Cog in the Machine
Cog in the Machine
Date: 10/xx/2025 - 11/xx/2025
Model: Original (crease pattern)
Paper: 36cm diameter hexagon on yellow kami, dark green tant (48-triangle grid), 12.5" diameter hexagon on natural white biotope, light blue aurora (48-triangle grid)
While continuing to play with mixtures of closed and open hexagon twists, I stumbled upon this setup. The spacing is so tight that the open hexagon twists overlap. However, when the twists are star puffed, they actually interlock in a pleasing pattern, like gears. Pinwheeling the closed hexagon just emphasizes the pattern more.
A prototype of the design, with the hexagons flat and not pinwheeled, demonstrating the overlap.
Back side of the prototype, showing the triangle twist configuration.
The model on aurora paper, producing a sparkling effect to accent the star puffs.
The model on biotope, without star puffs.
The backlit model's front side shows the overlap between the open hexagon twists.
The backlit model's back side shows the triangle clusters that create the closed hexagon twists.
Arms of Shiva
Arms of Shiva
Date: 10/xx/2025
From: Origami Tessellations: Awe-Inspiring Geometric Designs
By: Eric Gjerde
Model: Arms of Shiva
Paper: 36cm diameter hexagon on white kami (64 triangle grid), 35cm square on light blue kami (64 triangle grid)
I was looking through Gjerde's book again and decided to tackle the complex Arms of Shiva model, which uses a mixture of twists and pleats to create a detailed molecule. Unfortunately, a 64-triangle grid isn't quite large enough for a full ring around the center, but it's pretty close. It is especially delightful when backlit.
Back side of the hexagon version, showing a mixture of weaves and pleats.
Front side of the hexagon version backlit, showing the twists and teardrop pleats more sharply.
Back side of the hexagon version backlit. The twists are more spiral and the pleats have sharper edges.
Front side of the square version, which does fit repeats to the sides of the center molecule (if not the top and bottom repeats).
Front side of the square version backlit.
Back side of the square version backlit.
Stars and Galaxies
Stars and Galaxies
Date: 10/xx/2025
Paper: 12.5" diameter hexagon on dark green biotope (with silver marker), blue aurora paper (48-triangle grid)
Model: Interlaced Hexagons
I decided to return to Interlaced Hexagons after my experiments with Stars and Bars and The Hex-agon, star puffing the large hexagons and pinwheeling the small hexagons for a more 3D texture.
Dark green version before adding silver marker to highlight the pinwheels and stars.
The backside shows a mixture of closed and open triangle twists.
The blue aurora paper was too soft for good pinwheels, so the stars here were crimped instead.
Diamond Anvil
Diamond Anvil
Date: 09/16/2025
Paper: 13.8" diameter hexagon on rice paper (64-triangle grid)
By: Madonna Yoder
Model: Diamond Anvil
This was a fun reverse-engineering exercise based on some photos that Madonna posted to the Origametry Discord, as well as a few brief notes on the pattern she made to her Youtube channel. The true diamond pattern isn't noticeable until backlit.
The model on a 48-triangle grid, without backlighting, shows a simpler diamond weave.
The back side shows complex connections between triangle and hexagon twists.
The backlit back side, further highlighting how the triangles and hexagons connect.
Golden Daisy Chains
Golden Daisy Chains
Date: 09/10/2025
Paper: 36cm diameter hexagon dark red tant (32-triangle grid), with gold marker
By: Eric Gjerde
Model: Daisy Chains
A quick revisit of an old favorite, the Daisy Chains pattern. The flowers themselves were colored with gold marker to make them stand out more, along with the leaf decorations at the edges.
Stars and Bars
Stars and Bars
Date: 09/xx/2025
Paper: 36cm diameter hexagon on dark pink tant (32-triangle grid), 13.5" diameter hexagon on blue sky kozo (48-triangle grid), ~10" diameter hexagon on printed mulberry (32-triangle grid)
By: Unknown designer (independent discovery)
Model: Triangle Double Bar Wells
After working with The Hex-agon, I thought I'd try with an open hexagon twist (but keeping the closed triangle twists). The results was a somewhat dense hexagon field. Like in Ralf Konrad's Star Puff design, the hexagons were then expanded into stars, creating deep wells on the back side.
The hexagons before expansion.
The back, triangle-and-bar side.
The back after hexagon expansion.
A 48-triangle grid allows for an extra ring around the center.
When flat, the hexagon twists breaks up the printed pattern in unexpected ways.
When the stars are raised, the pattern shows off more cleanly.
The Hex-agon
The Hex-agon
Date: 08/xx/2025
Paper: Various triangle grids on hexagons
By: Multiple designers (independent discovery)
Pattern: Closed Hexagon Twist flagstones on top side / closed triangle twist flagstones on underside
The hardest part about Pyramid Scheme was managing the triangles. When I asked about the pattern in the Origametry Discord, Madonna Yoder noted she hadn't seen it, but had seen similar patterns with hexagons on one side and triangles on the other. I tried it out and found it much simpler to manage.
I began folding variations on the hexagons, following some experimentation I was doing on the delta-hex modular unit. I studied Fujimoto's works, and was able to apply pinwheel (windmill), petal, thorn, scissor, and hemp leaf (asanoha) folds. These created works with great texture and occasionally fun backlit patterns as well.
The base I dubbed "The Hex-agon" after a throwaway joke in the video game Is This Seat Taken? which is apparently the name of a scary/spooky movie, if your audience is made up entirely of geometric shapes.
Initial test on yellow kami with a 16-triangle grid. Here, the hexes were folded towards the center to create triangles like in Pyramid Scheme.
An early test on a 16-triangle grid on green kami, with Fujimoto's pinwheel variation.
A large version on 36cm purple tant (32-triangle grid) with pinwheels.
A trio of 16-triangle grid hexagons made from tracing paper, and colored with marker (blue for triangles, pink for petal, and green for pinwheel) to allow for interesting patterns when backlit.
A 32-triangle grid on 36cm light pink tant with Fujimoto's petal variation.
A 32-triangle grid on 36cm dark blue tant with Fujimoto's thorn variation.
A 32-triangle grid on 36cm bright red tant with Fujimoto's scissor variation.
A 32-triangle grid on 36cm light pink tant with Fujimoto's hemp leaf (asanoha) variation.
Backlit, the asanoha version shows the connections between each 'flower'.
Small variations on 15-cm hexagons, with a 16, 24, and 32 triangle grid demonstrating densities.
Two 32-triangle grids on 12" dark green biotope. Silver marker highlights on the petal variant and gold marker highlights on the asanoha variant.
A 48-triangle grid on 18" dark purple mulberry paper. This paper proved too soft to create a consistent asanoha pattern, so only the center rings were completed.
Pyramid Scheme
Pyramid Scheme
Date: 07-08/xx/2025
Paper: 25cm diameter hexagon pink kami (32-triangle grid), 36cm diameter hexagon light teal kami (48-triangle grid), 24" diameter hexagon Thai marbled momi (64 triangle grid)
Model: Original (Crease Pattern)
Origami-palooza 2025 honorable mention (16 and over category)
I was wondering how densely I could pack hexagons and triangles together, and ended up with this greatly overlapping pattern. Originally I left the hexagons alone, but getting them arranged neatly above the triangles was frustrating, so I folded in the edges to create a new set of triangles with some height to them. I enjoyed the result and decided to fold a large version for Origami Palooza 2025's open model competition.
The first test on pink kami, with all the hexagons arranged on top. The triangles are barely visible on the edges.
The second test on light teal kami, with the hexagons folded inwards so that a pure triangle pattern emerges.
The backside of the light teal version showing a tight weave.
The first hexagon twist on top of the 24" diameter Thai momi paper, showing off the marbled patterns dyed into the paper.
The completed model is about half the size of the original sheet.
The backside of the model, showing off the tight weave.
Starfield
Starfield
Date: 07/xx/2025
Paper: 12" diameter hexagons, rice paper, biotope, 24- and 32-triangle grids
From: Lang Origami
By: Robert J. Lang
Model: Opus 746 - Hexagram Tessellation
Origami-palooza 2025 2nd place (Robert Lang category)
One category of competition for Origami Palooza 2025 is the Robert J. Lang competition, where entries must be a model by Robert J. Lang. I quickly settled on his hexagram tessellation, which creates a beautiful star pattern inside of collapsed hexagons. The original work is folded with glassine, allowing the pattern to be seen through the layers. However, as I planned to frame the piece for the competition, which would not allow for backlighting to show off the stars, I chose to instead color the negative space to better show off the stars. I went through numerous iterations before settling on the final submission piece, of a 32-triangle grid on dark green biotope, using gold marker to highlight the negative space stars.
An early iteration on a 24-triangle grid on rice paper, showing the negative-spaced stars.
The other side of the model shows the hexagons. The star shapes cannot be seen easily.
Only when this iteration is backlit can the stars be seen through the hexagons.
An iteration on a 24-triangle grid on dark green biotope. Gold foil paper has been inserted to show off the negative space stars.
An iteration on a 32-triangle grid on dark green biotope, allowing for additional star shapes. This time, silver foil was inserted.
An iteration on a 32-triangle grid on dark green biotope, but using silver marker to highlight the negative star spaces. This allowed the paper texture to come through.
Dragon Hearts
Dragon Hearts
Date: 07/10/2025
Paper: 6" marbled mulberry paper (various colors, 32 square/45° grid)
From: Gathering Folds Youtube channel
By: Helena Verrill
Model: Dragon Heart
This jaggy triangle pattern shows its true form when backlit, where the heart pattern is revealed. The final size of these tessellations fits almost perfectly into these small floating photo frames I found at Daiso, allowing for both views to be appreciated.
Rosebud
Rosebud
Date: 07/08/2025
Paper: 36cm diameter hexagon on light pink tant (48-triangle grid)
By: Multiple designers (Including Madonna Yoder)
Model: Rosebud
This model is highlighted in Twist Database's entry for Isoarea Closed Hexagon Twist and uses only this twist and closed triangle twists (on both sides of the paper). This made it a good model for me to learn and practice the twist on. This was made by reverse engineering based on the provided photo, although I later learned there was a video tutorial available.
The back side largely resembles the front side in its flattened form (just mirrored), and shows how the model looks before the isoarea twists are opened to create the rosebud effect.
Front side, backlit. The rosebuds appear darker due to their raised edges.
Back side, backlit, makes the isoarea twists and triangle twists from the front side a little easier to distinguish.
Running Stitch: Crossing and Parallel
Running Stitch: Crossing and Parallel
Date: 06/xx/2025
Paper: 24cm pink kami
Original (Crease Patterns)
More experiments with the 2-fold Rectangle Hybrid Hexagon Twist, with a focus on just the blocks on one side of the pattern. The parallel variant is also documented by Madonna Yoder as Spilled Bricks.
Crossing variant, back side, showing triangle twist connections.
Crossing variant, backlit, shows off the rectangle blocks neatly..
Crossing variant, back side backlit, shows off the triangle twist connections.
Parallel variant, back side, showing triangle twist connections. It is more tightly packed than the Crossing variant.
Parallel variant, backlit, shows off the higher density of rectangle blocks.
Parallel variant, back side backlit, shows off the triangle twist connections.
Playroom
Playroom
Date: 06/xx/2025
Paper: 24cm orange kami (32 triangle grid), 35cm pink kami (64 triangle grid), 30" white kraft paper (128 triangle grid, colored with brush markers)
Original (Crease Pattern)
After learning to fold the 2-fold Rectangle Hybrid Hexagon Twist, I began folding other twists around it to see what types of patterns would emerge. My favorite became this mix of rectangles, hexagons, and triangles which repeat vertically. The playful shapes remind me of toy blocks in a child's playroom, leading me to create a colored version with kraft paper.
The 32-triangle grid version (rotated 90°) showing just a few repeats.
The 64-triangle grid version allows for a lot of columns that clearly show the alternation between hexagons and rectangles.
The back side of the 64-triangle grid shows its weave pattern, repeating vertically.
The 128-triangle grid version has a truely massive number of repeats.
When backlit, the hexagons appear darker as they have more paper in their twists than the triangles and rectangles do.
To emphasize the repeating shapes, the hexagons and rectangles were colored in a variety of primary colors with brush markers.
When backlit, the colors stand out even more, creating an almost jeweled appearance.
Starbursts
Starbursts
Date: 05/xx/2025
Paper: 36cm diameter hexagons on red kami, blue tant (48-triangle grid); 20" diameter hexagon on blue lokta (64-triangle grid)
Original
This pattern starts out similarly to Fujimoto's Galaxy (銀河) -- the back side triangle pattern looks identical. However, the front side hexagons are constructed differently, allowing me to raise them and fold extra details. There is both a flat "ray" variation and a raised "puffy" variation.
The back side, with a dense arrangement of triangle twists.
When backlit, the hexagons appear very dark, with thin rays connecting to each other.
The back side backlit shows more open spaces inside of the triangle twists compared to Galaxy.
Before final shaping, the tessellation's front side is a dense arrangement of hexagons.
The raised version has crimped hexagons, creating puffier stars that float above the plane.
An angled view of the raised stars, showing off the dimensionality.
Starting from a 64-triangle grid allows for an extra ring around the center (flat hexagons before finishing.)
The model after raising the starbursts and curling the connections between them.
Using silver marker to highlight the starbursts adds some extra variety to the model.
Tessellation 0002
Tessellation 0002
Date: 04/25/2025
Paper: 12" diameter hexagon on light blue/purple/grey marbled mulberry paper (48-triangle grid)
From: Saku B Origami Youtube channel
By: Saku B
Model: Tessellation 0002
This pattern resembles basket weave on the front, but with extra details within the hexagon gaps. On the back side, you can see that the details come from additional triangle twists at the corners of the hexagons.
The back side, showing how each hexagon is surrounded by triangle twists.
When backlit, the front side shows the sunken hexagons surrounded by weave lines.
The back side of the model shows the two sets of triangle twists -- one set directly connected to the hexagons, and the other in between the hexagon/triangle starbursts.
Windmill Fringed Gentian
Windmill Fringed Gentian
Date: 04/14/2025
Paper: 35cm blue kami (64-square grid); 12" blue sky kozo (48-square grid), 12" dark purple unryu (48-square grid, final pattern cut to fit frame)
Original (Crease Pattern | Folding instructions)
This pattern can be seen as an even tighter version of Over/Under 1:1, where there is no spacing between the front and back side square twists. A molecule is made from a 5 point arrangement, and a one-pleat spacing between them creates long corridors. When the center square twist is folded into a pinwheel, it creates a floral pattern when backlit - leading to me naming it after a 4-petal flower.
The back side shows a 2x2 arrangement of square twists separated by 3 pleats per molecule.
Before folding pinwheels at the center of each molecule, there is a dense diamond pattern separated by long lines when backlit.
After folding pinwheels, the center of each molecule opens up and creates a floral pattern when backlit.
A suncatcher made with dark purple unryu and a photo frame (by Sweet Paper).
The pattern was rotated 45° and cut to fit the frame.
When placed in a window for backlighting, the long lines and floral centers can be seen. The long threads of paper fiber add even more texture.
The pattern folded onto blue sky kozo, providing a soft cloud-like pattern.
Backlit, the texture of the sky kozo adds more grain to the pattern.
Interlaced Hexagons
Interlaced Hexagons
Date: 04/02/2025
Paper: 25 cm diameter hexagon on salmon kami (32-triangle grid)
Original
This design wasn't built directly from a crease pattern or model, but was me trying out two levels of hex twists connected by triangle flagstones. It is similar to Madonna Yoder's Criss Crossed, but with tighter spacing.
The back side shows the triangle rings that form around each open hex twist (the triangle flagstones are hidden underneath.)
Backlit, the open hexagons are airy while the closed hexagons and flagstone connections provide a darker contrast.
Backlit, the back side shows the triangle flagstones a little better.
Pineapples
Pineapples
Date: 04/01/2025
Paper: 12" chamois elephant hide paper (32 square grid)
From: Origami Tessellations for Everyone
By: Ilan Garibi
Model: Pineapple
This complex pattern uses water bomb bases to create a texture reminiscent of pineapples. I folded it as a complement to the Pineapple Kusudama. Although both models use a trio of water bomb bases to create their textures, the tesselation version has the bases connected on the sides and tips, while the kusudama has the bases only connected at the tips.
Over/Under Exploration
Over/Under Exploration
Date: 03/xx/2025
An in-depth exploration of a basic concept: alternating twists on opposite sides of the paper, creating lattice and weave patterns. All of the information is on this separate page: Over/Under Exploration details
Tiny Tessellation collection
Tiny Tessellation collection
Date: 02/xx/2025 - 03/xx/2025
Paper: 16cm diameter hexagons (biotope, minogami, tant) (32-triangle grid)
Models: Various
A collection of tessellations, mostly folding models I'm now familiar with, but on smaller paper than normal. This was primarily testing my ability to fold small, dense tessellations.
Shuzo Fujimoto's Galaxy tessellation on dark blue biotope, with pinwheels on the center hexagons.
Christiane Bettens' Roman Church Floor Tiling on orange minogami.
Ralf Konrad's Star Puffs on yellow tant.
Lydia Diard's Pavage #389 on lavendar tant.
Eric Gjerde's Open-Back Hexagon Twist on light blue tant, Shuzo Fujimoto's Galaxy on pink minogami, and Joel Cooper's Basket Weave twice, on light yellow minogami and tan biotope. Sunken Diamonds on light yellow 15cm minogami (32-square grid).
Field of Flowers
Field of Flowers
Date: 02/22/2025; 03/07/2025
Paper: 36cm diameter hexagon on bright green kami (64-triangle grid); 12" diameter hexagon on light blue/purple/grey marbled mulberry paper (48-triangle grid)
From: Origami Tesselé
By: Lydia Diard
Model: Pavage #991 (Bis)
This model has a similar structure to Field of Stars, but instead of a hex twist at the top of the center, the hex twist is sunk below the model and the center is expanded to a slightly raised floral motif. The suggested molecule spacing was even tighter (1 pleat between) but I adjusted to be 2 pleats between, and to use the triangle twist connection like Field of Stars used instead of the simpler 120° degree fold.
The backside shows how the hex twists get sent to the underside of the model. The petal connections between molecules is rounder than Field of Stars because the spacing is tighter.
Backlit, the floral stars are highlighted between a complex mix of diamonds and other lines.
Backlit, the backside shows the hex twists more sharply.
Another variation on a 48-triangle grid, which barely fits the flowers within the available space.
Backlit, the marbled pattern provides extra texture to the design.
Backlit, the backside shows negative space stars at the center of each flower.
Field of Stars
Field of Stars
Date: 02/20/2025
Paper: 36cm diameter hexagon on yellow kami (64-triangle grid)
From: Origami Tessellations: Awe-Inspiring Geometric Designs
By: Eric Gjerde
Model: Field of Stars
Hex twists, triangle twists, and rabbit ear fold sinks combine into this collection of stars and diamonds.
The backside shows diamond stars sunk under rounded petal-like shapes... a field of daisies?
Backlit, the hex twists at the heart of each star is more exaggerated, and the diamond separators become outlined.
Backlit, the backside is softer, with the center of each star appearing dark but the petal outlines have less contrast.
Jorigami
Jorigami
Date: 02/xx/2025
Paper: 8.25" x 11" blue vellum paper with white floral embossing (24 x 32 square grid)
Pattern: Combinations of square twists
A variety of square twists folded onto a blue vellum paper, which provided some nice contrast when backlit. The visible diagonal grain meant the final pieces looked like denim, hence the "jean origami" name.
A simple repetition of closed and open square twists.
Backlit, the floral/diagonal embossing on the paper comes through the open square twists and the spacing between twists.
Another closed/open square twist repetition but with the closed twists folded into pinwheels; an open and double-open square twist repetition.
Backlit, the floral/diagonal embossing on the paper is even more defined with the wider spacing of the open/double open square twist pattern.
Stacked Triangles
Stacked Triangles
Date: 02/07/2025
Paper: 20cm diameter hexagonal pink kami (32 triangle grid)
From: Origami Tessellations: Awe-Inspiring Geometric Designs
By: Eric Gjerde
Model: Stacked Triangles
This pattern is made with rabbit ear sink folds and creates a multi-layered triangle pattern on one side, and a puffy hexagon pattern on the back side.
The back side shows raised hexagons.
Backlit, the stacked triangles have enough layers to appear quite dark against the hexagonal gaps.
Bathroom Tiles (dense)
Bathroom Tiles (dense)
Date: 01/xx/2025 - 02/xx/2025
Paper: 20cm diameter hexagonal blue kami (32 triangle grid); 10" diameter hexagonal mulberry paper with gold/silver/black marbling (32 triangle grid)
Original
This was trying to make the Bathroom Tiles pattern denser by shrinking each hexagon to being only 2 triangles wide (1 triangle per side). This lead to a very confusing set of twists on the back. It was originally prototyped in blue origami paper before using a marbled paper for a more complex result.
The back side of the model has triangle twists overlapping each other in a messy pattern (I didn't bother trying to make it too consistent).
Backlit, the layers are so thick throughout that there is almost no light passing through anywhere.
The blue origami paper prototype.
Diamonds in the Rough
Diamonds in the Rough
Date: 01/xx/2025
Paper: 8,5" grey lokta paper with silver floral pattern (32-square grid), 12" mulberry paper with purple/blue/grey marbling (48-square grid)
Original (Sunken Diamonds)
Just trying out the Sunken Diamonds pattern on more types of paper and at differing grid densities.
Sunken Diamonds using marbled paper. The marbled pattern sort of matches the flow of the large squares, a nice coincedence.
The backlit marbled pattern shows off the darker diamonds neatly.
Brick and Border
Brick and Border
Date: 01/23/2025
Paper: 12" mulberry paper with gold/silver/black marbling (48-square grid)
Twists: Isoarea closed square twists in various configurations
As I was walking through my neighborhood, I noticed a pattern on the ground that was a mix of square and rectangular grids, which I knew I could achieve by adjusting the isoarea closed square twist pattern to include both 2x4 blocks and 4x4 blocks.
The back side of the model shows gaps for the 4x4 blocks and tighter spacing for the 2x4 blocks.
Backlit, the edges of the squares and rectangles are more apparent.
Walkway in my neighborhood using a square and brick tiling pattern that inspired this design.
Bathroom Tiles
Bathroom Tiles
Date: 01/22/2025
Original
Paper: 12" mulberry paper with purple/blue/grey marbling (48-triangle grid)
After the dense square tiling experiments, I wanted to try the same with hexagons. I started with 4-triangle-across hexagons (like the 4x4 squares) to make sure I had enough space for all the edges. When I flipped the paper over I realized it was similar to back side of the Roman Church Floor Tiling model, but without the hex twists in the center of certain areas!
The back side of the model showing the weave and triangle twists of the Roman Church Floor Tiling model.
Backlit, the edges of the hexagon are sharply illuminated.
Brick and Mortar
Brick and Mortar
Date: 01/19/2025
Paper: 12" cream elephant hide (48 square grid), 24cm grey origami paper (32 square grid)
Twists: Isoarea closed square twists in various configurations
I continued to experiment with the gapped clusters model, or rather, the swivel-like connections between the squares in that model. I wanted to see if I could eliminate the gap. Not only did I do that, resulting in a dense alternating square grid, I realized I could make a small adjustment and use 2x4 rectanges instead of 4x4 squares for a true brick layout (this arrangement was first documented by Yoshihide Momotani and is also known as Momotani's Wall).
The backside of the model shows wide (2x6) bricks with gaps between them.
Backlit, the edges of the squares are highlighted with prominent gaps in each one's center.
The 2x4 bricks pattern was made by simply adjusting where the corners aligned. In theory, a variety of even-based brick sizes could be generated by adjusting that positioning.
The back side of the pattern shows the same dense brick layout, except rotated 90°!
Gapped Clusters
Gapped Clusters
Date: 01/06/2025
Paper: 12" chamois elephant hide (32 square grid)
From: Gathering Folds
By: Madonna Yoder
Model: Gapped Clusters
This was my second attempt to reverse engineer the Gapped Clusters model based off of a photo from Madonna Yoder's website. I paid closer attention to the details in the photo and focused on the square reptitions. Eventually I began to understand the connections that linked the corners of the squares to each other, and produced a result that looks just like Yoder's photo.
The back side of the model is the same as the front side, but rotated 90°.
Backlit, the edges of the squares are especially dark and crisp.
Sunken Diamonds
Sunken Diamonds
Date: 01/06/2025
Paper: 24cm orange origami paper (32 square grid)
Original
I was attempting to reverse engineer the Gapped Clusters model from a photo on Madonna Yoder's Gathering Folds website. At first, I was basing it more off of the Five-and-Four crease pattern I had recently folded by Eric Gjerde, which was in fact not the right basis for Gapped Clusters.
Instead, I found extra paper in the gaps, but also realized that paper could be turned into square twists to provide a contrast in shapes that is especially apparent when backlit.
The back side of the model shows a regular square weaving.
Backlit, the various layering can be seen, at the edges and corners of the squares and with the twists.
Backlit, the backside shows clustering of layered sections of weave around the square face gaps.
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