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A monotile known as 'The Hat' that can be used for filament extrusion multiplier tuning, reference, and collecting!
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Model information
- Source
- Printables
- Category
- Test Models
- License
- Creative Commons — Attribution — Noncommercial — Share Alike
Filament Tuning - Extrusion Multiplier
I've been using the AndrewEllis93 guide for tuning Extrusion Multiplier to help get each filament's flow dialed in for top-quality prints. This process works really well (along with much of his other tuning advice), but due to the trial and error nature of the process I'd found that I ended up generating between 5 and 30ish printed tiles for each filament - all but a few destined for the trash.
Here's an alternative tile shape that you can use for tuning, reference, and collecting! It makes for a fun activity for those into creating tiled patterns, especially as your color collection grows!

Print Settings
This is a 3mm tall tile. If you feel like adjusting layer heights from default, just make sure you have at least 2 layers of infill between the bottom and top layers. Check out guidance in the Print Settings section of the Ellis' Print Tuning guide for additional detail.
Defaults for a .4mm nozzle
* 30% infill
* .25 mm first layer
* .20 mm layer height thereafter
* 2 bottom layers
* 3 top layers
* Top Infill pattern Monotonic (filled) infill pattern
Follow the rest of the steps outlined in the tuning guide, matching the Extrusion Multiplier setting with the number on the tile for future reference. As an example, if you want to test extrusion multipliers of 99%, 98%, 97% you would drop the 99-0.stl, 98-0.stl, and 97-0.stl tile into your slicer, and configure each object with the appropriate Extrusion Multiplier setting.
Before printing, don't forget to:
* Set your default Extrusion Multiplier to 1.0 or 100%
* Enable sequential printing (complete individual objects) if printing several tests at one time
For SuperSlicer Users
I've exported a plate (OneStone-Full-Plate.3mf) that contains all of the tiles with matching extrusion multiplier settings. I'm not sure how many other slicer settings this exports, but hopefully it's helpful to others.
The Hat - An Aperiodic Monotile
On March 23rd 2023, I'd stumbled across this discovery in my morning news feed. A mathematical breakthrough in the form of a 13-sided shape called The Hat. It's a 13-sided shape that can tile a plane but never repeat. This shape has been eluding mathematicians for over 60 years, and until this example was created it wasn't clear that an object with such properties even existed!
Additional information on 'The Hat'
The scientific paper with all the details: An aperiodic monotile
Play with the shape on Mathigon
