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About Penrose tiling Penrose tiling is a non-periodic tessellation using two shapes to create intricate and interlocking designs. There are a few Penrose tile types, with the “P2” type being the most commonly discussed. The two tile…
Print approx. €1.47–€1.80 excl. taxPreliminary estimate for one variant
( Penrose P2 tiling diagram by Tovrstra at English Wikipedia, CC BY-SA 3.0 ) Whether you're celebrating Phi (φ) Day or any other holiday, cookies cut with these Penrose P2 tile cookie cutters will be a conversation starter! About Penrose…
Print approx. €2.04–€2.49 excl. taxPreliminary estimate for PETGSource material: PET
As in the orginal: a clip to level tiles when glueing them onto the floor or wall. I printed mine in PLA, with a .2mm layerheight and .4mm nozzle on a Prusa i3 MK3S+. The provided gcode prints 12 at a time.
Print approx. €3.57–€4.37 excl. taxPreliminary estimate for one variant
I'm printing it now, so I don't have a photo yet. Stand by… I modeled this for the " Tessellating Tiles" design contest. I was searching for tessellating patterns online for inspiration and found this fantastic paper magician on Instagram…
Pretty straight forward. Should be able to print without supports
I printed a bunch of my original tile and thought it was good. https://www.printables.com/model/351778-beautiful-tessellating-spirals-a-one-piece-tiling- And then decided to make a bowl version. Enjoy! I haven't printed them yet, but I…
This model is a “from the ground up” recreation of the Einstein aperiodic tessellation. I built this using a series of construction lines to form a set of “allowed vertices” and then “walked” from point-to-point by specifying the angle…
With a furtive start, the placement of a single tile, a winding cascade ravels the motif into the infinite. This tile is designed using Robert W. Fathauer’s method for creating monohedral tilings, with branching tiles exhibiting a fractal…
Celebrate Mother’s Day with a fun and memorable accessory! This multilingual “Best Mom” headband is perfect for family photos, school events, parties, and special celebrations. No painting, supports, assembly, or glue required. Printing…
A larger version of this model is featured in figures 4.13 and 4.14 of Visualizing Mathematics with 3D Printing . This 3D printed illustration of the hyperbolic plane is joint work with Saul Schleimer. The hyperbolic plane has constant…
This is a set of three Christmas tree ornamrents that contain everybody's favorite aperiodic tiling: Penrose tilings! Each ornament contains a different tiling with fivefold symmetry. Additionally, the border of each ornament features…
I'm surprised nobody's done anything like this yet. It's a nice pattern. The base vector was pilfered from https://cs.uwaterloo.ca/~csk/hat/app.html if you want to have fun with it yourself. I've also included the uncropped inner…
The legendary Sir Roger Penrose aperiodic tiling https://en.wikipedia.org/wiki/Penrose_tiling Kindly, LIKE if you download 4 layers thick Insert the pause command at start of layer 3 No need for a wiping tower, in the .3mf file i set the…
A set of recursive OpenScad scripts to generate some aperiodic tilings of the plane: Ammann-Beenker , Armchair , Chair , Domino , Golden Triangle , Half-Hex , House , Penrose , Pentomino , Pinwheel , and TriHex . The STL and GCODE files…
single infinite tiling spiral shape
This design is based on the Floret Pentagonal Tiling (also known as the 6-fold pentille tiling ), arranged to leave small gaps between each “petal” for natural movement and drape. The pattern forms a beautiful geometric texture that feels…
A collection of raised drink coasters done in various tessellation/tiling patterns. I use these all around the house in various colors and they work great. The pattern is raised so the moisture can collect down in the negative space of…
made as a freelance collab with some scammer pretending to be torva tiling director, gave him the stl and then didn't wanna pay so I'm making this available for free uses m5 thread hose connector
Why not having some math fun while baking for christmas :) It's actually possible to create your own cookie cutters with 3D-printing! So I tried to recreate the Penrose tiling, which is an aperiodic tiling of a plane (there is no…
This model is featured in figures 4.13 and 4.14 of Visualizing Mathematics with 3D Printing . This is joint work with Saul Schleimer. A smaller version is available here . Category: Math
MULTILINGUAL RECORDING CAMERA LABEL for marking your house or private property. Two variants of the label - for multi-material or classic printing.
A small tiling planter that allows you to create tiling patterns for a green wall! 🪴
A tiling organizer for Ikea Ihärdig spice containers (66 mm diameter). These are designed to use a small amount of material, as well as be pretty sturdy. They will arrange the containers in a hexagon pattern, and will extend indefinitely…
Personally I use it to remember when I changed the water filter last time, but it can be used to “save” any date that you consider important to remember. The unused plates are stored in the same box under the actual plates, so that you…
This model is featured in figure 4.10 of Visualizing Mathematics with 3D Printing . Category: Math
Tessellation 4 Gábor's Tiling
D. Smith et al. recently discovered a shape, that can be tiled in infinite non-repeating pattern. This is known as the “einstein problem”. Not related to Albert Einstein, but instead focused on discovering single shape of tile ("ein…
Micro size (10mm) Penrose tiling. Ideal for color change printing. (after 1mm height)
This model is featured in figure 4.2 of Visualizing Mathematics with 3D Printing . This is joint work with Geoffrey Irving. This was printed on an SLS machine. I have no idea if it will work on other kinds of 3D printer. Let me know if…
See ams.jhu.edu/~grimmer/hexBox.pdf
This model is featured in figure 4.9 of Visualizing Mathematics with 3D Printing . Category: Math
Print with any settings on any filament - ironing makes it look a bit nicer. Press fit - you should be able to carry this around. Intended for any project requiring multiple 28BYJ-48 stepper motors and thus multiple driver boards…
Like the petals of a flower, this floret pentagonal tiling brings Springtime into our geometry. During Easter, at the crack of Spring, the tiles rearrange and morph into cracked eggs specifically for you to store chocolate eggs inside,…
Tiling Trellis with FreeCAD Project Source Parts can be connected to each other using wire. Category: Outdoor & Garden
periodic tiling puzzle simply line up the grooves in each piece and see how big you can go (image for reference) in theory it should never end. a none periodic tiling will not or is unlikely to repeat the same patterns. print as many as…
Set scouring cross for paving and tiling, also circular, Krížik špáravací velkosti 2,3,4,5,6,10 mm hrúbka.
A puzzle version of Interlocking Aperiodic Octopuses by DaveMakesStuff Challenge yourself to fill the entire rectangle with the water and octopus tiles. It's not terribly difficult, but harder than it looks. Based on the aperiodic shape…
The Seizure Emergency SafeSteps Platform - SafeSteps T (for tactile). Brought to by the Epilepsy + Data Science Lab What is this? This keychain is intended for those who care for someone with seizures. It provides 4 quick reminder…
Holds 3 standard CVS pill bottles, printed in TPU for a snug fit. Might print fine in other materials, just scale it!
periodic tiling puzzle simply line up the grooves in each piece and see how big you can go (image for reference) in theory it should never end. a periodic tiling will repeat the same patterns over and over. print as many as you like or…
A paper towel or shop twoel holder that can be printed as tall as needed, in roughly 150mm incraments. You can glue and pin the segments using dowels of 1.7mm filament. I reccomend printing the mid and top sections horizonally for best…
These two triangular pieces are functionally the same as this earlier printable but keep the tabs hidden instead of making them visible like jigsaw pieces. Because the tabs need to be printed with overhang, they are given an upward slope.…
A raw circular Penrose Tiling tessellation of 2291 tiles. Made in 3 parts with small cubes for calibration. I made the original size is around 45cm in diameter. I made them 1 cm thick so handling in the slicer can be easier crop, scale,…
Potřeboval jsem rychle obložit kus zdi a nebyl čas shánět všechno potřebné vybavení v obchodě. Tak jsem si hřebínek na obklady navrhl a vytiskl. Průměr i výška zubu 5 mm. Na takové to domácí žvýkání celkem v pohodě. [ENGLISH] I needed to…
Robinson triangles*, introduced by R. M. Robinson are another way to build a Penrose aperiodic tiling. https://tilings.math.uni-bielefeld.de/substitution/robinson-triangle/ They have the advantage of representing halves of kites and darts…
A tetromino tiling puzzle that can show all ASCII characters. Fill the 8x8 board with 16 tetrominoes. Each tetromino has 1 ~ 3 ON-pixels on a single side. (the all pixels on the other side are OFF) Surprisingly, it can show all 95 ASCII…
Un système de rail pour pouvoir fixer sous mon plan de travail la planche à découper Aptiling de chez Ikea. Les rails sont de conceptions rudimentaires, et ont des défauts. Mais pour leur utilisation c'est largement suffisant. Besoin…
A bit of theory: Kite and dart tiling (P2) is a type of aperiodic tiling discovered by Roger Penrose. It uses two shapes — a kite and a dart — that fit together in a non-repeating pattern. Despite the lack of periodic repetition, the…
A tiling of the room with Hexahedrons, truanced Octahedrons, and truanced cuboctahedrons. Category: Math
You can put 8x8cm paper with the table number or any other label on this stand. You can choose a stand with a inscription “yes”, “ano”, “tak”, “si”, “ja”, “da”.
Pentagonal tilings can create some very interesting shapes. This subunit combines to form pentagons. Those pentagons can be combined together. Many designs are possible!
Stereographic projection - Penrose tiling
Not a coincidence at all that the thick/thin distibution follows the golden ratio, for each 8 thick rhombi print 5 thin rhombi…advice, just enjoy tiling it, don't try to understand it :) Use the ultra high resolution tiling map…
I got a similar game during charismas form a bonbon and didn't like the fit and finish also wanted more to pieces to play around with so i made some. no rules just place them next to each other until you make something, just have fun.
Three sets of tilings together with boxes for storing are presented: Set 1: Triangles, squares and hexagons, from which Euclidean tilings can be created. Many different tasks can be given to students: Create tilings with only one, exactly…
The Seizure Emergency SafeSteps Platform - SafeSteps Sign Brought to by the Epilepsy + Data Science Lab What is this? This sign is intended for those who care for someone with seizures. It provides 4 quick reminder messages for what to do…
ENGLISH This is a 3D-printable camera surveillance sign that clearly communicates video recording in three languages: 🇫🇮 Finnish — Tallentava kameravalvonta 🇸🇪 Swedish — Kameraövervakning 🇬🇧 English — Camera surveillance ✅ Size : 160 mm x…
100x160mm signs, with art of Santa's sleigh drawn by reindeer; and text “Merry Christmas” with versions in 5 different languages. Mesh and Solid (may print easier) models provided. Best with color switch above 1mm, as with included gcode.…
Two simple animal sand molds. These molds should be able to be scaled up, but not scaled down to prevent the details being too thin. The pictures used blue craft sand and water.
I wanted to improve my first row of hexagonal tilings close to the floor. The video shows how it operates. https://youtu.be/4ICogu7UoH8 I glued in a neodynium magnet from the bottom to hold the stabila pocket magnetic level in place.…
This is the same design as Penrose tiling based on flippable triangles with hidden tabs but with a layer on top and bottom with narrow grooves that fit together as braids when the tiles are placed. You can go to the original link to read…
These are hexagonal tiles which slide together, that you can put modules in! Inner diameter: 68 mm Outer diameter: 80 mm Height: 9 mm This was originally uploaded(by me) on thingiverse: https://www.thingiverse.com/thing:6514465
This is a stand for Revomax bottles to dry and stock with its cap. Please put your Revomax bottles turn upside down. This holder keeps bottle with upright style and slanted style. This holder keeps its balance when the bottle is slanted.…
My father asked me to make a roof for the electrical panel. Why just do it if you can be creative? I found a model of tiles here and designed a roof for it. I also added the ability to install an LED candle. It turned out well. Printing…
Spray cans are awkward to store: they roll, they tip, and the one you want is always in the back. This system holds every can at an angle with its cap facing out, so you see every color at a glance and grab what you need with one hand.…
A desk toy of the famous Penrose Tiling This model has the dart and kite variation of the tiling with the placement rule circles engraved on the top of the tiles. What better way to pass the time on a meeting than by building aperiodic…
This is a series of fractals made from an iterated spherical tiling of rhombic dodecahedra. In this series, an S0 is just a single rhodec. S1 would be the 12 that form the shell around 0. S2 is where the series gets interesting, and is…
There are two printable objects: a hexagonal base and a rhombic color cap. Each base has 3 spots for caps, which should be printed in different colors. Attach the caps to the base upside down by sliding the tabs under the center divider…
UPDATE: Added a short version as well, in both diffused and non-diffused. Take your pick. I like the hat tiling pattern, so of course I'm putting it on here. Two versions are included. The normal one is fully see-through, and the other…
A collection of tags and keychains designed using 3D Printable Tags — a free browser-based tool for creating fully custom tags, keychains, nameplates and labels. This batch showcases multi-language support across 6 scripts: 愛 —…
A Wieringa roof is a three-dimensional extension of Penrose rhomb tilings with the remarkable property that it is composed only of golden rhombuses, those with an aspect ratio equal to the golden ratio. Instead of lying flat, these…
Terrain 20a-r is a 3D-printable puzzle from Tropical Puzzle Lab , a project of MaxPlusLab that builds puzzles from tropical geometry. There are 20 convex pieces, each with a sloped flat top, and a 144 mm square tray. The pieces are 8 to…
Three sets of tilings together with boxes for storing are presented: Set 1: Triangles, squares and hexagons, from which Euclidean tilings can be created. Many different tasks can be given to students: Create tilings with only one, exactly…
My father asked me to make a roof for the electrical panel. Why just do it if you can be creative? I found a model of tiles here and designed a roof for it. I also added the ability to install an LED candle. It turned out well. Printing…
A desk toy of the famous Penrose Tiling This model has the dart and kite variation of the tiling with the placement rule circles engraved on the top of the tiles. What better way to pass the time on a meeting than by building aperiodic…
Un système de rail pour pouvoir fixer sous mon plan de travail la planche à découper Aptiling de chez Ikea. Les rails sont de conceptions rudimentaires, et ont des défauts. Mais pour leur utilisation c'est largement suffisant. Besoin…
Celebrate Mother’s Day with a fun and memorable accessory! This multilingual “Best Mom” headband is perfect for family photos, school events, parties, and special celebrations. No painting, supports, assembly, or glue required. Printing…
This is a stand for Revomax bottles to dry and stock with its cap. Please put your Revomax bottles turn upside down. This holder keeps bottle with upright style and slanted style. This holder keeps its balance when the bottle is slanted.…
