Is there any way to make math fun? Andreas Kaiser believes 3D printed puzzles are the way forward, especially if students can make their own.

3D Printed Puzzles for Math Lovers | All3DP

Engineers at Rice University used 3D printers to make theoretical schwarzites into physical structures. Math just got real, people.

Century-Old Theory of Schwarzites Bought to Life with 3D Printing | All3DP

One teacher makes math lessons more interesting for pupils by incorporating 3D printing and offering a tangible use for their learning.

Teacher Uses 3D Printing to Engage Students in Math Lessons | All3DP

<html><head></head><body><h3 class="thing-component-header summary summary">Summary</h3>
<div><p>Hi there,<br>
here is an ornament made out of rotated golden (Fiboacci) Spirals.</p>
<ul><li>printed on Prusa Mini</li>
</ul><p>Have fun and please post your makes.</p></div>
<h3 class="thing-component-header settings print-settings">Print Settings</h3>
<p class="detail-setting printer brand"><strong>Printer Brand: </strong>
                         </p><div><p>Prusa</p></div>
<p></p>                                    
                                                <p class="detail-setting printer"><strong>Printer: </strong>
                         </p><div><p><a rel="nofollow" href="http://amzn.to/2rqZ6Uo?tag=tv-auto-20" target="_blank">Prusa Clone</a></p></div>
<p></p>                                    
                                                <p class="detail-setting rafts"><strong>Rafts: </strong>
                         </p><div><p>No</p></div>
<p></p>                                    
                                                <p class="detail-setting supports"><strong>Supports: </strong>
                         </p><div><p>No</p></div>
<p></p>                                    
                                                <p class="detail-setting resolution"><strong>Resolution: </strong>
                         </p><div><p>0.2</p></div>
<p></p>                                    
                                                <p class="detail-setting infill"><strong>Infill: </strong>
                         </p><div><p>20</p></div>
<p></p>                                    
                    <strong>Filament:</strong> 
                    <a href="http://www.amazon.com/s?url=search-alias&amp;field-keywords=Prusament+PLA&amp;tag=tv-auto-20" target="_blank">
                        Prusament PLA                    </a>

                    Galaxy Black
                
                        <br>                        <p class="detail-setting notes"><strong>Notes: </strong>
                        </p><div><p>Slic3r: Speed 0.2 mm - PLA Setting, extrusion 215&#xB0; C, Bed 60&#xB0; C</p></div>
</body></html>

Fibonacci Sunwheel Ornament

Hi there,
here is an ornament made out of rotated golden (Fiboacci) Spirals.

- printed on Prusa Mini

Have fun and please post your makes.

<html><head></head><body><h3 class="thing-component-header summary summary">Summary</h3>
<div><p>Polygons with 3d-printed strands as mechanical reinforcements.</p>
<p>To introduce stiffness to a polygonal frame multiple triangles are inscribed into the shape, changing rotation with z-height. The triangles themselves are strands of filament extruded into the air. This technique is called bridging, because it doesn&apos;t make use of support structures (eventually the different triangles may touch each other). Each strand consist of two layers.</p>
<p>The diameter of all three polygons - pentagon, hexagon and heptagon - is approximately 10cm. The rotation of the triangle is bound to 1/3 of the length of the polygon outline, not to an angle. Therefore this principle is adaptive to the applied shape and every curve point is connected to exactly two strands. The result has a relative high stiffness compared to the amount of material used.</p>
<p>Geometry was created using Rhino/Grasshopper.</p></div>
<h3 class="thing-component-header settings print-settings">Print Settings</h3>
<p class="detail-setting printer"><strong>Printer: </strong>
                         </p><div><p>Generic Printer</p></div>
<p></p>                                    
                                                <p class="detail-setting rafts"><strong>Rafts: </strong>
                         </p><div><p>No</p></div>
<p></p>                                    
                                                <p class="detail-setting supports"><strong>Supports: </strong>
                         </p><div><p>No</p></div>
<p></p>                                    
                                                <p class="detail-setting resolution"><strong>Resolution: </strong>
                         </p><div><p>0.2</p></div>
<p></p>                                    
                                                <p class="detail-setting infill"><strong>Infill: </strong>
                         </p><div><p>25%</p></div>
<p></p>                                    
                    <strong>Filament:</strong> 
                    <a href="http://www.amazon.com/s?url=search-alias&amp;field-keywords=Generic+PLA+PLA&amp;tag=tv-auto-20" target="_blank">
                        Generic PLA PLA                    </a>

                    Grey
                
                        <br>                        <p class="detail-setting notes"><strong>Notes: </strong>
                        </p><div><p>The examples were printed using the default &quot;0.2mm Quality&quot; from PrusaSlicer on a Prusa i3 MK3S. Extrusion width was 0.45mm, &quot;Thin Walls&quot; option should not be necessary.</p></div>
</body></html>

Stiffened Polygons

Polygons with 3d-printed strands as mechanical reinforcements.

To introduce stiffness to a polygonal frame multiple triangles are inscribed into the shape, changing rotation with z-height. The triangles themselves are strands of filament extruded into the air. This technique is called bridging, because it doesn't make use of support structures (eventually the different triangles may touch each other). Each strand consist of two layers.

The diameter of all three polygons - pentagon, hexagon and heptagon - is approximately 10cm. The rotation of the triangle is bound to 1/3 of the length of the polygon outline, not to an angle. Therefore this principle is adaptive to the applied shape and every curve point is connected to exactly two strands. The result has a relative high stiffness compared to the amount of material used.

Geometry was created using Rhino/Grasshopper.

<html><head></head><body><h3 class="thing-component-header summary summary">Summary</h3>
<div><p>Hi there,<br>
here is one half of a &quot;Bulb&quot;, a 3D Fractal. Printed in a phophorescent PLA, so it is glowing greenish in the dark. The images are not photoshopped. I have also added a low poly Version of the model, that I haven&apos;t printed myself.</p>
<ul><li>Design in Mandelbulb 3D (www.mandelbulb.com)</li>
<li>postprocess in Meshmixer/ Blender</li>
<li>printed on Prusa Mini</li>
</ul><p>Have fun and please post your makes.</p></div>
<h3 class="thing-component-header settings print-settings">Print Settings</h3>
<p class="detail-setting printer brand"><strong>Printer Brand: </strong>
                         </p><div><p>Prusa</p></div>
<p></p>                                    
                                                <p class="detail-setting printer"><strong>Printer: </strong>
                         </p><div><p><a rel="nofollow" href="http://amzn.to/2rqZ6Uo?tag=tv-auto-20" target="_blank">Prusa Clone</a></p></div>
<p></p>                                    
                                                <p class="detail-setting rafts"><strong>Rafts: </strong>
                         </p><div><p>No</p></div>
<p></p>                                    
                                                <p class="detail-setting supports"><strong>Supports: </strong>
                         </p><div><p>No</p></div>
<p></p>                                    
                                                <p class="detail-setting resolution"><strong>Resolution: </strong>
                         </p><div><p>0.2</p></div>
<p></p>                                    
                                                <p class="detail-setting infill"><strong>Infill: </strong>
                         </p><div><p>20</p></div>
<p></p>                                    
                    <strong>Filament:</strong> 
                    <a href="http://www.amazon.com/s?url=search-alias&amp;field-keywords=Das+Filament+PLA&amp;tag=tv-auto-20" target="_blank">
                        Das Filament PLA                    </a>

                    Glow Gr&#xFC;n V2
                
                        <br>                        <p class="detail-setting notes"><strong>Notes: </strong>
                        </p><div><p>Slic3r Speed 0.2 mm - PLA Settings, 215&#xB0; C Extrusion, 60&#xB0; C Bed</p></div>
</body></html>

Simple Mandel Pyramid

Hi there,
here is one half of a "Bulb", a 3D Fractal. Printed in a phophorescent PLA, so it is glowing greenish in the dark. The images are not photoshopped. I have also added a low poly Version of the model, that I haven't printed myself.

- Design in Mandelbulb 3D (www.mandelbulb.com)
- postprocess in Meshmixer/ Blender
- printed on Prusa Mini

Have fun and please post your makes.

<html><head></head><body><h3 class="thing-component-header summary summary">Summary</h3>
<div><p>Hi there,<br>
here is my take on the Fibonacci Sequence. The spiral is extruded slightly higer than the squares.</p>
<p>printed on Prusa Mini</p>
<p>Have fun and post your makes.</p>
<p>Update!<br>
I have added another Version of the spiral &quot;Fibonacci 2D V3 1-21.stl&quot;. This time the frame is stronger and easier to print. Also the sequence is longer. (1,1,...,21 - before it was 1,1,..,8). The squares are half the size compared to the old version. The Spiral is extruded even higher and filleted. Additionaly I changed the color (from Black to green) so the spiral pops out even more. I didn&apos;t use a Brim to print and had to reduce the skirt distance to 1 mm  to fit it on the Prusa Mini plater. Depending on your first layer adhesion you maybe need a Brim. The colorchange is added at Layer 16 for 0.2 mm Layer hight.</p>
<p>Have fun and please post your makes.</p></div>
<h3 class="thing-component-header settings print-settings">Print Settings</h3>
<p class="detail-setting printer brand"><strong>Printer Brand: </strong>
                         </p><div><p>Prusa</p></div>
<p></p>                                    
                                                <p class="detail-setting printer"><strong>Printer: </strong>
                         </p><div><p><a rel="nofollow" href="http://amzn.to/2rqZ6Uo?tag=tv-auto-20" target="_blank">Prusa Clone</a></p></div>
<p></p>                                    
                                                <p class="detail-setting rafts"><strong>Rafts: </strong>
                         </p><div><p>No</p></div>
<p></p>                                    
                                                <p class="detail-setting supports"><strong>Supports: </strong>
                         </p><div><p>No</p></div>
<p></p>                                    
                                                <p class="detail-setting resolution"><strong>Resolution: </strong>
                         </p><div><p>0.2</p></div>
<p></p>                                    
                                                <p class="detail-setting infill"><strong>Infill: </strong>
                         </p><div><p>20</p></div>
<p></p>                                    
                    <strong>Filament:</strong> 
                    <a href="http://www.amazon.com/s?url=search-alias&amp;field-keywords=Prusament+PLA&amp;tag=tv-auto-20" target="_blank">
                        Prusament PLA                    </a>

                    Galaxy Black
                
                        <br>                        <p class="detail-setting notes"><strong>Notes: </strong>
                        </p><div><p>Slicer Quality 0.2 mm - PLA Settings, 215&#xB0; C extrusion, 60&#xB0; C Bed</p></div>
</body></html>

Fibonnaci Spiral - 2D Art

Hi there,
here is my take on the Fibonacci Sequence. The spiral is extruded slightly higer than the squares.

printed on Prusa Mini

Have fun and post your makes.


Update!
I have added another Version of the spiral "Fibonacci 2D V3 1-21.stl". This time the frame is stronger and easier to print. Also the sequence is longer. (1,1,...,21 - before it was 1,1,..,8). The squares are half the size compared to the old version. The Spiral is extruded even higher and filleted. Additionaly I changed the color (from Black to green) so the spiral pops out even more. I didn't use a Brim to print and had to reduce the skirt distance to 1 mm  to fit it on the Prusa Mini plater. Depending on your first layer adhesion you maybe need a Brim. The colorchange is added at Layer 16 for 0.2 mm Layer hight.

Have fun and please post your makes.

<html><head></head><body><h3 class="thing-component-header summary summary">Summary</h3>
<div><p>Julia Set For for z^2+z+(-1+.2i)<br>
By Krista Cimbalista<br>
10/28/2020<br>
Math 401 Mathematics Through 3D Printing GMU</p>
<p>Mandelbrot sets and Julia sets are typically generated by the equation f(n-1) = x(n)^2 + c. For the Mandelbrot set, your initial value is zero and you pick a complex number for the constant and iterate. For the Julia set, you choose both an initial value and a complex constant to iterate over. The sets that are generated are appealing and intricate with many different designs to visualize and appreciate [1]. Mathematica makes generating these sets very easy with commands like MandelbrotSetPlot and JuliaSetPlot.</p>
<p>Something worth explaining is the coloring of the 2D graph. As you can see in my Mathematica image above, there is a chart to the right of the 2D JuliaSetPlot. What this is showing us is the number of iterations it took before we could be sure that each of these points was not in the Julia set. The higher the iteration count (the black/white areas), the more iterations were needed, if we even iterated enough, to know that it wasn&apos;t in the set. The lower the iteration count (the blue/purple areas), the sooner it was clear that these points were in the set. You can see that the black regions on the 2D plot correspond to flat regions on the 3D plot, this is because those areas needed more than the 100 iterations calculated to tell us if those points are a part or the set or not.</p>
<p>Of course, any polynomial can be used to generate a Julia set but, in my case, I used a second degree polynomial consisting of three terms instead of two. Working with this was a little harder, because it was not as straightforward to find a constant that was inside this set. Eventually a constant I found and liked was -1+.2i. This generated a Julia set that was longer than it was wide with lots of &#x201C;decoration&#x201D; around the edges and within the shape. I like to think that the shapes here look like little galaxies. </p>
<p>To code this project, I first used Mathematica to plot and find a constant that was in the Julia set corresponding to my polynomial. Next, I made it into a 3D plot and exported it as an STL. Then, I imported that STL into OpenSCAD where I removed some of the bottom layers to make it printable. </p>
<p>Sources:<br>
[1] <a rel="nofollow" href="https://www.youtube.com/watch?v=mg4bp7G0D3s&amp;ab_channel=JimiSol">https://www.youtube.com/watch?v=mg4bp7G0D3s&amp;ab_channel=JimiSol</a></p>
<p>Useful link:<br><a rel="nofollow" href="https://www.marksmath.org/visualization/julia_sets/">https://www.marksmath.org/visualization/julia_sets/</a></p></div>
</body></html>

Julia set for z^2+z+(-1+.2i)

Julia Set For for z^2+z+(-1+.2i)
By Krista Cimbalista
10/28/2020
Math 401 Mathematics Through 3D Printing GMU

Mandelbrot sets and Julia sets are typically generated by the equation f(n-1) = x(n)^2 + c. For the Mandelbrot set, your initial value is zero and you pick a complex number for the constant and iterate. For the Julia set, you choose both an initial value and a complex constant to iterate over. The sets that are generated are appealing and intricate with many different designs to visualize and appreciate [1]. Mathematica makes generating these sets very easy with commands like MandelbrotSetPlot and JuliaSetPlot.

Something worth explaining is the coloring of the 2D graph. As you can see in my Mathematica image above, there is a chart to the right of the 2D JuliaSetPlot. What this is showing us is the number of iterations it took before we could be sure that each of these points was not in the Julia set. The higher the iteration count (the black/white areas), the more iterations were needed, if we even iterated enough, to know that it wasn't in the set. The lower the iteration count (the blue/purple areas), the sooner it was clear that these points were in the set. You can see that the black regions on the 2D plot correspond to flat regions on the 3D plot, this is because those areas needed more than the 100 iterations calculated to tell us if those points are a part or the set or not.

Of course, any polynomial can be used to generate a Julia set but, in my case, I used a second degree polynomial consisting of three terms instead of two. Working with this was a little harder, because it was not as straightforward to find a constant that was inside this set. Eventually a constant I found and liked was -1+.2i. This generated a Julia set that was longer than it was wide with lots of “decoration” around the edges and within the shape. I like to think that the shapes here look like little galaxies. 

To code this project, I first used Mathematica to plot and find a constant that was in the Julia set corresponding to my polynomial. Next, I made it into a 3D plot and exported it as an STL. Then, I imported that STL into OpenSCAD where I removed some of the bottom layers to make it printable. 

Sources:
[1] https://www.youtube.com/watch?v=mg4bp7G0D3s&ab_channel=JimiSol

Useful link:
https://www.marksmath.org/visualization/julia_sets/


<html><head></head><body><h3 class="thing-component-header summary summary">Summary</h3>
<div><p>Hi there,<br>
here is another Koch Snowflake Ornament. I am using it as a coaster on my Desk.<br>
Have fun and please submit your makes.</p></div>
<h3 class="thing-component-header settings print-settings">Print Settings</h3>
<p class="detail-setting printer brand"><strong>Printer Brand: </strong>
                         </p><div><p>Prusa</p></div>
<p></p>                                    
                                                <p class="detail-setting printer"><strong>Printer: </strong>
                         </p><div><p><a rel="nofollow" href="http://amzn.to/2rqZ6Uo?tag=tv-auto-20" target="_blank">Prusa Clone</a></p></div>
<p></p>                                    
                                                <p class="detail-setting rafts"><strong>Rafts: </strong>
                         </p><div><p>No</p></div>
<p></p>                                    
                                                <p class="detail-setting supports"><strong>Supports: </strong>
                         </p><div><p>No</p></div>
<p></p>                                    
                                                <p class="detail-setting resolution"><strong>Resolution: </strong>
                         </p><div><p>0.2</p></div>
<p></p>                                    
                                                <p class="detail-setting infill"><strong>Infill: </strong>
                         </p><div><p>20%</p></div>
<p></p>                                    
                    <strong>Filament:</strong> 
                    <a href="http://www.amazon.com/s?url=search-alias&amp;field-keywords=Das-Filament+PLA&amp;tag=tv-auto-20" target="_blank">
                        Das-Filament PLA                    </a>

                    Gr&#xFC;n Gold V2
                
                        <br>                        <p class="detail-setting notes"><strong>Notes: </strong>
                        </p><div><p>Slic3r Quality 0.2 mm - PLA Settings, 215&#xB0; C extrusion, 60&#xB0; C bed</p></div>
</body></html>

Koch Snowflake Ornament and/or coaster

Hi there,
here is another Koch Snowflake Ornament. I am using it as a coaster on my Desk.
Have fun and please submit your makes.

<html><head></head><body><h3 class="thing-component-header summary summary">Summary</h3>
<div><p><a rel="nofollow" href="https://www.youtube.com/watch?v=att1aTvmBEA"></a></p>
<p>Based on Bauer&apos;s spiral.</p>
<p>Bauer R. Distribution of points on a sphere with application to star catalogs. Journal of Guidance, Control, and Dynamics. 2000;23(1):130&#x2013;137</p>
<p>The source code requires <a rel="nofollow" href="http://openscad.org">OpenSCAD</a> and <a rel="nofollow" href="https://github.com/JustinSDK/dotSCAD">dotSCAD</a>. It can be found on <a rel="nofollow" href="https://github.com/JustinSDK/dotSCAD/blob/master/examples/bauer_text_sphere.scad">dotSCAD/examples/bauer_text_sphere.scad</a>.</p>
<p><a rel="nofollow" href="https://openhome.cc/Gossip/OpenSCAD/">OpenSCAD Documentation - Traditional Chinese</a>  <a rel="nofollow" href="https://openhome.cc/eGossip/OpenSCAD/">OpenSCAD Documentation - English</a></p></div>
</body></html>

Bauer text sphere

[](https://www.youtube.com/watch?v=att1aTvmBEA)

Based on Bauer's spiral.

Bauer R. Distribution of points on a sphere with application to star catalogs. Journal of Guidance, Control, and Dynamics. 2000;23(1):130–137

The source code requires [OpenSCAD](http://openscad.org) and [dotSCAD](https://github.com/JustinSDK/dotSCAD). It can be found on [dotSCAD/examples/bauer_text_sphere.scad](https://github.com/JustinSDK/dotSCAD/blob/master/examples/bauer_text_sphere.scad).

[OpenSCAD Documentation - Traditional Chinese](https://openhome.cc/Gossip/OpenSCAD/)  [OpenSCAD Documentation - English](https://openhome.cc/eGossip/OpenSCAD/)

<html><head></head><body><h3 class="thing-component-header summary summary">Summary</h3>
<div><p>A rotation of a cylinder using OpenSCAD</p>
<p>$fn=48;<br>
scale([1,1,2])<br>
for (i=[0:15:360]){<br>
rotate(i)<br>
translate([0,55,34])<br>
rotate([60,0,0])<br>
cylinder(d=70,h=5);<br>
}<br>
cylinder(d1=80,d2=75,h=10);</p></div>
<h3 class="thing-component-header settings print-settings">Print Settings</h3>
<p class="detail-setting printer brand"><strong>Printer Brand: </strong>
                         </p><div><p>Creality</p></div>
<p></p>                                    
                                                <p class="detail-setting printer"><strong>Printer: </strong>
                         </p><div><p>Ender 3 Pro</p></div>
<p></p>                                    
                                                <p class="detail-setting rafts"><strong>Rafts: </strong>
                         </p><div><p>No</p></div>
<p></p>                                    
                                                <p class="detail-setting supports"><strong>Supports: </strong>
                         </p><div><p>No</p></div>
<p></p>                                    
                                                <p class="detail-setting resolution"><strong>Resolution: </strong>
                         </p><div><p>0.25</p></div>
<p></p>                                    
                                                <p class="detail-setting infill"><strong>Infill: </strong>
                         </p><div><p>15%</p></div>
<p></p>                                    
                    <strong>Filament:</strong> 
                    <a href="http://www.amazon.com/s?url=search-alias&amp;field-keywords=Hatchbox+PLA&amp;tag=tv-auto-20" target="_blank">
                        Hatchbox PLA                    </a>

                    Black
</body></html>

Carved bowl

A rotation of a cylinder using OpenSCAD

$fn=48;
scale([1,1,2])
for (i=[0:15:360]){
    rotate(i)
        translate([0,55,34])
            rotate([60,0,0])
                cylinder(d=70,h=5);
}
cylinder(d1=80,d2=75,h=10);

<html><head></head><body><h3 class="thing-component-header summary summary">Summary</h3>
<div><p>This is a completely print-in-place sliding tile puzzle. There are two .STL&apos;s, one with blank tiles and one with number extrusions. The tiles are unable to be taken out of the containment ring.</p>
<p>After printing go around to each tile and make sure it is fully separated from it&apos;s neighbors, the precision required is very tight in order to keep the tiles fully captive</p>
<p>Using Slic3r or equivalent software you can also do a filament swap to get different colored numbers on the tiles. You can also glue a picture to the front of the tiles and use an exacto knife to cut through the gaps to make a completely custom puzzle.</p>
<p>Feel free to modify all of the .stl&apos;s with attribution, and If you make one post a picture!</p></div>
</body></html>

Sliding Tile Puzzle (100% Print-in-Place)

This is a completely print-in-place sliding tile puzzle. There are two .STL's, one with blank tiles and one with number extrusions. The tiles are unable to be taken out of the containment ring.

After printing go around to each tile and make sure it is fully separated from it's neighbors, the precision required is very tight in order to keep the tiles fully captive

Using Slic3r or equivalent software you can also do a filament swap to get different colored numbers on the tiles. You can also glue a picture to the front of the tiles and use an exacto knife to cut through the gaps to make a completely custom puzzle.

Feel free to modify all of the .stl's with attribution, and If you make one post a picture!

<html><head></head><body><h3 class="thing-component-header summary summary">Summary</h3>
<div><p>The original design always left one side of the handle hanging 0.4 mm in the air for me. I managed to fix it in freecad =D</p>
<p>I also uploaded each side as individual stl file</p></div>
</body></html>

Mathews 2019/2020 Bow Side Plates

The original design always left one side of the handle hanging 0.4 mm in the air for me. I managed to fix it in freecad =D

I also uploaded each side as individual stl file

<html><head></head><body><h3 class="thing-component-header summary summary">Summary</h3>
<div><p>A physical proof of Pythagoras&apos; Theorem that you can hold in the palm of your hand! A fantastic teaching aid for students and teachers alike.</p>
<ul><li>Can be printed as a single part, no assembly required</li>
<li>Small enough for most hobby/school printers</li>
<li>Great way to demonstrate mathematical principles in real life</li>
<li>Also a fun 3D puzzle/fidget toy! </li>
</ul><p>IMPORTANT: This version only works on printers that can handle 0.3mm clearances or smaller. If there is demand for versions with larger tolerances I will happily upload them!</p>
<p>If you&apos;re unsure of the clearances your 3D printer can handle, I recommend the Makers Muse Clearance and Tolerance Gauge: www.makersmuse.com/clearance-and-tolerance-3d-printer-gauge</p>
<p>RECOMMENDED SETTINGS<br>
These settings worked best for my Cocoon Create Model Maker (Wanhao i3 Mini clone):</p>
<ul><li>Slicer: Cura</li>
<li>Quality: Normal (0.15mm)</li>
<li>Wall thickness: 3 layers</li>
<li>Infill: 20%, gyroid (gives hinges extra strength between layers)</li>
<li>Materials: PLA, 1.75mm, 210 degrees Celsius</li>
<li>Support: 15%, grid (needed for overhang on small 1x1 piece)</li>
<li>Build plate: brim, 4mm minimum</li>
</ul><p>Enjoy!<br>
Check out my maker&apos;s insta: www.instagram.com/things_harry_made</p></div>
<h3 class="thing-component-header tips post-printing">Post-Printing</h3>
<div><p>It&apos;s possible for some parts to fuse together, just on the first couple layers.<br>
If you use my recommended settings (listed above) the hinges should be strong enough for you to gently break apart areas of unwanted fusion without snapping the hinges themselves.<br>
A small blade might be helpful for cleaning up debris between moving parts.</p></div>
</body></html>

Pythagoras Toy

A physical proof of Pythagoras' Theorem that you can hold in the palm of your hand! A fantastic teaching aid for students and teachers alike.

- Can be printed as a single part, no assembly required
- Small enough for most hobby/school printers
- Great way to demonstrate mathematical principles in real life
- Also a fun 3D puzzle/fidget toy! 

IMPORTANT: This version only works on printers that can handle 0.3mm clearances or smaller. If there is demand for versions with larger tolerances I will happily upload them!

If you're unsure of the clearances your 3D printer can handle, I recommend the Makers Muse Clearance and Tolerance Gauge: www.makersmuse.com/clearance-and-tolerance-3d-printer-gauge



RECOMMENDED SETTINGS
These settings worked best for my Cocoon Create Model Maker (Wanhao i3 Mini clone):

- Slicer: Cura
- Quality: Normal (0.15mm)
- Wall thickness: 3 layers
- Infill: 20%, gyroid (gives hinges extra strength between layers)
- Materials: PLA, 1.75mm, 210 degrees Celsius
- Support: 15%, grid (needed for overhang on small 1x1 piece)
- Build plate: brim, 4mm minimum

Enjoy!
Check out my maker's insta: www.instagram.com/things_harry_made

<html><head></head><body><h3 class="thing-component-header summary summary">Summary</h3>
<div><p>Die Zahlenmauer ist eine Erweiterung f&#xFC;r die Zahlent&#xE4;felchen der Braille-Version aus der Stellenwerttafel (<a rel="nofollow" href="/thing:4643944">https://www.thingiverse.com/thing:4643944</a>).</p>
<p>Extension for Place Value Charts  (<a rel="nofollow" href="/thing:4643944">https://www.thingiverse.com/thing:4643944</a>)</p></div>
<h3 class="thing-component-header settings print-settings">Print Settings</h3>
<p class="detail-setting printer"><strong>Printer: </strong>
                         </p><div><p>CraftBot+</p></div>
<p></p>                                    
                                                <p class="detail-setting rafts"><strong>Rafts: </strong>
                         </p><div><p>Yes</p></div>
<p></p>                                    
                                                <p class="detail-setting supports"><strong>Supports: </strong>
                         </p><div><p>Yes</p></div>
<p></p>                                    
                                                <p class="detail-setting resolution"><strong>Resolution: </strong>
                         </p><div><p>0.1</p></div>
<p></p>                                    
                                                <p class="detail-setting infill"><strong>Infill: </strong>
                         </p><div><p>35</p></div>
<p></p>                                    
                    <strong>Filament:</strong> 
                    <a href="http://www.amazon.com/s?url=search-alias&amp;field-keywords=spectrum+PLA+pro&amp;tag=tv-auto-20" target="_blank">
                        spectrum PLA pro                    </a>

                    
                
                        <br>                        <p class="detail-setting notes"><strong>Notes: </strong>
                        </p><div><p>215&#xB0;C nozzle<br>
63&#xB0;C Kapton bed</p>
<p>0.4mm nozzle<br>
Used raft for better detatching after printing</p></div>
</body></html>

Zahlenmauer - Addition wall  (Zahlendreieck, Zahlenpyramide, Zahlenturm, Pyramid addition, Pascal's triangle)

Die Zahlenmauer ist eine Erweiterung für die Zahlentäfelchen der Braille-Version aus der Stellenwerttafel (https://www.thingiverse.com/thing:4643944).

Extension for Place Value Charts  (https://www.thingiverse.com/thing:4643944)




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