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PrintablesCarlos Luna

Skew Dice

Skew Dice™ Disclaimer: The commercial version of the Skew Dice™ was designed by Robert Fathauer and Henry Segerman . Indeed, Skew Dice™ is a trademark of their company: The Dice Lab . Please, go buy some of their amazing products! These…

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PrintablesCarlos Luna

Standard Ruler Set

Easy to print and easy to use. A standard ruler set that you can print at home! 15 cm ruler 10 cm compact ruler 10 cm logarithmic ruler Protractor Triangle 30-60-90 Triangle 45-45-90 You can create your own versions using the attached…

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330
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PrintablesCarlos Luna

Photography Composition Guides

A huge set of customizable Photography Composition Guides. Use the attached OpenScad script to create your own version or stack several guides together to combine their attributes!

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PrintablesCarlos Luna

Worry Stone

This worry stone is a simple fidget with no moving parts and nice textures. Rub your thumb against the depression of the top face or use it to spin the whole fidget with the help of the other fingers: Scratch the grid on the back with…

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PrintablesCarlos Luna

Menger Sponges

The Menger Sponge is the 3D analogue to the Sierpiński Carpet fractal. 3D print a Menger Sponge in its usual orientation is difficult because it requires many internal supports that might be hard to remove. Cutting the Menger Sponge in…

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237
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PrintablesCarlos Luna

Vogel's Coaster

A detailed coaster inspired by Helmut Vogel's phyllotaxis model for sunflowers . Vogel's model is based on the Fermat spiral and the golden angle , two interesting mathematical topics that I encourage you to research! The coaster of the…

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PrintablesCarlos Luna

Aperiodic Monotile Pipes

This is a decorated version of the Hat aperiodic monotile. It includes three “pipes” joining the √3 sides of that tile. The result is quite mesmerizing, with an aesthetic reminiscent of the Tantrix/Palago-style puzzles and the Celtic…

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212
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PrintablesCarlos Luna

Easy-to-print Penrose Triangles

Several versions of the Penrose Triangle illusion designed to be specially easy to print. I provide many examples and the OpenScad script used to make them. The Penrose Cubes variant is a classic optical illusion. Under the right light…

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PrintablesCarlos Luna

Aperiodic Monotile

This is a cheap and easy way to experiment with the new family of aperiodic monotiles discovered by: David Smith , Joseph Samuel Myers , Craig S. Kaplan and Chaim Goodman-Strauss . You can find more info here:…

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PrintablesCarlos Luna

Möbius band

A classical Möbius band , oriented so it is really easy to print with organic supports. The chosen orientation might be counterintuitive, but ensures a smooth band surface by putting all the (organic) supports on the border of the band.…

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PrintablesCarlos Luna

Vase Mode Flowerpot

A simple geometric flowerpot that can be printed in vase mode. I made it basically so I can put in practice a particular design technique with OpenScad (twisted extrusion). You can use the highly customizable script to create your own…

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PrintablesCarlos Luna

Bicylinder Steinmetz Solid

A simple instance of the classic Bicylinder Steinmetz Solid , which rolls smoothly in two directions. You can print the model in the given orientation with 0% infill and few supports.

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PrintablesCarlos Luna

Spectre - Aperiodic Chiral Monotile

A parametrized version of the newly discovered Spectre, an Aperiodic Chiral Monotile. See: https://cs.uwaterloo.ca/~csk/spectre/ for more details about this shape. This version includes the OpenScad file, so you can modify the “polygon…

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PrintablesCarlos Luna

Drawing Card

A handy drawing tool that you can keep in your wallet! The Small/Regular version features: 90º square tool (55 x 55 mm) Metric ruler from 0 cm to 5 cm (in 5 mm intervals) Protractor from 0º to 90º (in 5º intervals) Quarter circle…

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159
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63
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PrintablesCarlos Luna

Platonic Solids Variants

This collection of Platonic Solids variants includes: Platonic Solids with the same Edge Length Platonic Solids with the same Total Area Platonic Solids with the same Volume Platonic Solids with the same Circumradius Platonic Solids with…

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PrintablesCarlos Luna

Polygonal Phone Stand

A very stable and elegant phone stand. Includes a fully customizable OpenScad file that lets you change all dimensions and angles very easily and check where the approximate center of the gravity of your smartphone will lie.

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PrintablesCarlos Luna

Fibonacci Christmass Tree

An intricate design based on the golden ratio, which holds a LED tealight candle. The two objects must be printed separately in vase mode. Use thinner layers for better results!

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PrintablesCarlos Luna

Reuleaux Tetrahedron

The classic Reuleaux Tetrahedron , which is NOT a solid of constant width. You can print the solid in the given orientation with 0 infill and the aid of very few supports (see the print file for my recommended settings). Printed at a 100%…

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PrintablesCarlos Luna

Sicherman Dice

A pair of 20 mm Sicherman Dice (see: https://en.wikipedia.org/wiki/Sicherman_dice ) with sides: 1, 2, 2, 3, 3, 4 1, 3, 4, 5, 6, 8 I attach the parametric OpenScad file, so you can modify the design. It includes a module that allows you to…

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PrintablesCarlos Luna

Analog Scientific Calculator

Apart from the basic functions that you can expect from a quarter circle protractor: Measure angles Draw straight lines and right angles Find the center of small circles You can do most of the functions of a scientific calculator with…

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PrintablesCarlos Luna

Triply twisted Möbius band

A triply twisted Möbius band , oriented so it is really easy to print with organic supports. The chosen orientation might be counterintuitive, but ensures a smooth band surface by putting all the (organic) supports on the border of the…

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129
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17
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PrintablesCarlos Luna

Double Smartphone Stand

A very stable and elegant phone stand inspired by @Preischl3D 's model, but created from scratch. Includes a fully customizable OpenScad file that lets you change all dimensions and angles very easily and check where the approximate…

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118
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PrintablesCarlos Luna

Cylindrical Slide Rule

A nice Cylindrical Slide Rule in base 10 that you can easily extend! You can easily multiply or divide numbers (and simplify fractions!) using the logarithmic scales. Print as many copies as you need and stack them to chain operations!

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PrintablesCarlos Luna

Parabolic Calculator

Did you know that you can multiply two numbers using a parabola and a ruler? This template let you easily draw a piece of a parabola. But don't be fooled, it's much more than a simple drawing template… You can draw a parabola , its focus…

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PrintablesCarlos Luna

Parametric Fractal Marble Runs

A set of fractal marble runs that you can easily customize! The provided models only include some sets of Hilbert Curve and Moore Curve fractal tracks as an example, but using the OpenScad script you can customize Fractal Level (up to…

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PrintablesCarlos Luna

Aperiodic Tilings

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…

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PrintablesCarlos Luna

Hyperboloid Pen Holder

A strong and stylish pen holder that prints without supports and requires 0% infill! The STL file has a height of 100 mm, an outer diameter of 90 mm, and an approximate inner diameter of 56.81 mm. There are 12 rods in each direction,…

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95
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PrintablesCarlos Luna

Magic Arrow

The classic Magic Arrow trick in its 8-pointed star version. Very easy to print and to use! Recommended print settings: You can use pretty much any settings or materials, but I recommend aligning the bridges at 90º with respect to the…

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PrintablesCarlos Luna

Non-transitive Dice

A triplet of 20 mm Non-transitive Dice (see: https://en.wikipedia.org/wiki/Intransitive_dice ) with sides: A : 1, 4, 4, 4, 4, 4 B : 2, 2, 2, 5, 5, 5 C : 3, 3, 3, 3, 3, 6 There are many known sets of non-transitive dice (see:…

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PrintablesCarlos Luna

Trapped Ball Puzzle

A classic assembly puzzle where you have to trap a ping-pong ball between these frames. Requires a standard (40 mm diameter) ping-pong ball. Note: You shouldn't resize the pieces in any way, because they may not fit properly if you do. I…

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PrintablesCarlos Luna

Hollow Fudge/Fate dice

An easy-to-print set of Fudge/Fate dice. The plus and minus signs go through the entire dice, which simplifies the printing process and helps a lot to read the results on light-colored materials (like the Prusament PLA Marble Grey you can…

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PrintablesCarlos Luna

Compact Quarto pieces

An easy-to-print set of Quarto pieces. Not nearly as good as the commercial edition (so go buy one of those!) but quite compact and practical for a game-on-the-go. The small pieces are 2cm x 2cm x 2cm and the large ones are 2cm x 2cm x…

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PrintablesCarlos Luna

7 Trapeziums Symmetry Puzzle

A simple puzzle I designed myself: The objective is to use these pieces to form a plane figure with an axis of symmetry. There are 2 closely related solutions. See if you can find both!

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PrintablesCarlos Luna

Rhombic Truncated Tetrahedron Puzzle

Make a Truncated Tetrahedron structure from 4 identical L-shaped pieces made with Rhombic Dodecahedrons. The pieces can be printed without supports and have a 0.25 mm spacer between the rhombic dodecahedron units, so they stay together…

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PrintablesCarlos Luna

Fifth Chair Puzzle

Use these 4 similar figures to form a fifth one! A classic puzzle based on Delian Bricks (cuboids of proportions 1 : ∛2 : ∛2²). More info here . It is safe to re-scale the whole STL file using the same scale in the X, Y and Z dimensions,…

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PrintablesCarlos Luna

Rotor Illusion

A very simple visual illusion: Just rotate the two pieces!

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48
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PrintablesCarlos Luna

Imaginary Cubes

“An imaginary cube is a three-dimensional object which has square projections in three orthogonal directions, just as a cube has” — Hideki Tsuiki A cube projects square shadows in 3 orthogonal directions that are parallel to its sides.…

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PrintablesCarlos Luna

Curves of Constant Width

An OpenScad implementation of the “ crossed-lines method” for creating curves of constant width . I include some examples (with a constant width of 10cm and a thickness of 2cm) and the script used to generate them. The script is able to…

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PrintablesCarlos Luna

Low-Poly Font for OpenScad

This module renders an upright string centered at [0,0,0]. The font is based on the usual 16-segment display font and produces a low-poly result that is FDM-printer-friendly. You can use this font to engrave or emboss text into your 3D…

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PrintablesCarlos Luna

Intersecting Planes

These three objects, made by intersecting regular polygons, correspond to the three polyhedrons that result from intersecting each Platonic solid with its dual: Tetrahedron ∩ Tetrahedron = Octahedron Cube ∩ Octahedron = Cuboctahedron…

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41
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PrintablesCarlos Luna

Slide-Together Kapla Planks

Kapla-sized planks with a carefully placed hole, to create a slide-together structure. I provide a customizable OpenScad script, so anyone can change the size of the pieces (I provide an example that is fully compatible with Kapla…

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40
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5
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PrintablesCarlos Luna

Woven Heart Basket Template

A cutting guide for the classical Woven Heart Basket design. Instructions: Take two pieces of paper of contrasting colors. Fold each piece of paper in half and place the 3d-printed template on top, aligning it with the fold. Draw the…

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40
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11
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PrintablesCarlos Luna

Slothouber-Graatsma puzzle

This is an easy-to-print version of the Slothouber-Graatsma puzzle. This deceptively simple packing puzzle is made of: Six pieces of proportions 2x2x1 Three pieces of proportions 1x1x1 The objective is to pack these 9 pieces into a 3x3x3…

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38
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PrintablesCarlos Luna

Stingray Tiles

Several variants of the Stingray tile that can be used to create the classic Fish Scales tiling (among others). The traditional Stingray tile is made of 3 circular arcs: one convex (180º) and two concave (90º & 90º). It is a neat classic…

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PrintablesCarlos Luna

Paradox 49/50

You can place the 4 pieces into the frame in two different ways. In one case, they leave a triangular hole. In the other, they fill the frame… Could you explain what's happening? This geometric paradox is based on the rational…

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35
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11
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PrintablesCarlos Luna

Customizable Postcard Stand

The design has been optimized to be printed at 0% infill with concentric infill patterns in the top and bottom layers. The attached OpenScad script let you choose: Length of the postcard Thickness of the paper Depth of the groove Height…

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PrintablesCarlos Luna

Chip and Slit

A simple dexterity game where you should make pass this chip through the narrow slit. I provide 2 versions of the chip and a parametric OpenScad file, so you can personalize it further.

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27
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5
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PrintablesCarlos Luna

Bucolic Cube

This is my own implementation of the famous Yasuhiro Hashimoto's 2013 Puzzle Design Competition entry Bucolic Cube . This version has been optimized for 3D printing, with round surfaces of contact with the building plate, 45° overhangs…

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25
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PrintablesCarlos Luna

Curstomizable Deck Sleeve

An easy-to-print deck sleeve that you can customize to fit your cards. The STL file is just a “ready to print example” of what can be accomplished with the OpenScad script I provide. This example, in particular, fits a deck of 54 Bicycle…

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PrintablesCarlos Luna

Sum of triangular numbers

With these 6 pieces, you can build an n·(n+1)·(n+2) solid brick. The volume of each piece is the sum of the first n triangular numbers. Therefore, the sum of the first n triangular numbers is: Σₙ Tₙ = n·(n+1)·(n+2)/6 In the provided STL…

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PrintablesCarlos Luna

Skull Coin

A spooky poker chip for the spooky season!

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7
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PrintablesCarlos Luna

Concave Rhombic Dodecahedron

The Concave Rhombic Dodecahedron is a novel version of the well known (convex) Rhombic Dodecahedron and inherits many of its amazing mathematical properties: Universal: One shape does it all, print as many as you want! Stable: The pieces…

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4
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PrintablesCarlos Luna

Celtic Knot Dice & Tiles

Oversized (40 mm) dice and tiles decorated with celtic knot motives. This is my own implementation of an original idea by Cameron Browne . Puzzle: Print just 2 dice and try to put them together so the pattern on the external faces forms a…

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PrintablesCarlos Luna

Pi approximation without words

Archimedes found that π≈22/7… But could you explain that approximation intuitively? I provide a “ proof without words ” that is easy to print and easy to understand: The pieces form a 22×7 cm rectangle exactly, but could also form an…

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PrintablesCarlos Luna

The Seven Tetrahexes

This is a classical collection of mathematical pieces called Tetrahexes (meaning "4 hexagons"). There are 7 possible connected configurations of 4 hexagons. You can play several games and puzzles with them, such as SEVEN or the puzzles…

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16
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PrintablesCarlos Luna

Fast Addition Trick

How fast can you add four 4-digit numbers? With these magic rods, you can do it instantly!!! SPOILER: Pick as many rods as you want, to add the four numbers formed by putting all these rods side by side, you just need to “read” the second…

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PrintablesCarlos Luna

Penrose Bookmark

A beautiful bookmark based on the Rhombic Penrose Tiling. Three examples are provided on the same file: Basic: just the Penrose Tiling in all its geometrical glory. Customized: One of the decagons has been filled and a “26” has been…

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PrintablesCarlos Luna

Rhombic Compound

A beautiful composition of a rhombic dodecahedron and a rhombic triacontahedron based on the sculpture Dos Mons by Josep Rey Nadal. Proof that the edges of the rhombic dodecahedron are coplanar to the faces of the rhombic triacontahedron:…

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PrintablesCarlos Luna

Epitrochoid Pencil Cap

A minimalist pencil cap optimized for 3D printing! With a inner bottom diameter of 7.1 mm, an inner top diameter of 5.7 mm and a length of 30 mm, this pencil cap fits perfectly most hexagonal pencils. Its hexagonal shape prevents the…

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