Blender Modeling Tutorial // The Einstein / The Hat // aperiodic Mono-Tile non-periodic Tessellation

This Tutorial shows you how to model your own Einstein, the single aperiodic tiling tile (monotile) recently discovered by David Smith, Joseph Samuel Myers, Craig Kaplan and Chaim Goodman-Strauss. It seems to be called "the hat" as well in this form of the einstein, and some call it a shirt. Maybe more forms of einsteins exist out there just waiting to be discovered. Those are very exciting times.
This Tutorial should be suitable for total beginners and medium skilled blender users that just want to play around with the Einstein tile without having to 3D-print it...

Clarification for total Blender noobs:
at 1m36 we make loopcuts, those are done with Ctrl+R, then selecting the face to cut up and confirming the FACE with the left mousebutton. But then you click the RIGHT mouse button to place the cut exactly in the middle of the face, where it belongs, I forgot to say that, sorry for any confusion!
Also the normals Menu to flip the normals (at 4m36) appears with Alt+N, not as I say with ctrl+n, but at least it is shown correctly on screen, and as WAGfilms mentioned in the comments, shift+N automatically re-calculates the outside, whatever that outside is on a flat body...

Following the pattern you see in the beginning is a good starting point as you can screw up the pattern quickly and have something where no more tiles fit. The darkest tile is the flipped one, this appears not as often as the default tile...

Download Blender:

The mentioned bevLR Addon for blender:

Playlist with more great blender tutorials:

Watch a monotile morph animation going through different derivative aperiodic and periodic shapes made by Craig Kaplan, one of the authors of the paper about the monotile

Du sprichst deutsch? Mehr Tutorials auf deutsch gibt es hier:
@tt-tutorials

/// GOODIES ///
I have a lot of good and helpful and entertaining FREE stuff that you can also leave a donation for in the price range of a coffee (or more if you want!) and even get something in return and have the warm fuzzy feeling around the heart to have done the right thing:

What are you waiting for? Check out my stuff and follow me there and grab your free stuff... and donate a ton :)

/// - Chapters - ///
0:00 /// Intro
1:14 /// Getting the basic building block
2:22 /// Rotating and flipping the base block to build the einstein
4:59 /// puzzling with lots of duplicates of the Einstein

/// --------------------------------------------------------------------------- ///
/// GET THE FULL EXPERIENCE AND EVEN MORE ///
/// --------------------------------------------------------------------------- ///

#pattern #aperidioc #tiling

[ms.punktrees]

My 11yr old daughter and I just finished making this as a part of a homeschool lesson. Thank you so much for the tutorial!

[zeycus]

Is there an easy algorithm to actually cover the plane with them? I know how to do it with kites & darts.

[defomort]

Awesome video! I have so many dumb ideas for tile shapes now...

[WAGfilms]

Great tutorial! In my version of Blender, Shift - n brings up the normals menu, not ctrl - n

[hugo]

I thought the tutorial would be about the tiling as a sphere in geometry nodes!

[nemesisurvivorleon]

It's a SHIRT.
Why everybody calling it a "hat" 😭

[RemyNote]

Why so complicated with the modeling? You could have made a hexagon with a center point, mirror it on x, rotate it on a point so you get the 3 connected. Merge by distance and remove the faces you don't need.

[gabrielsantiagogabriel]

Hey, can I export to use in SolidWorks?

[MumuMundo]

I guess there can't be a seamless texture on that shape, that's what I thought 1st it would be useful for, but now I'm confused... why is it needed at all lol

[pinx]

is it possible to use the array-modifier to distribute the tiles?

[barnwobble]

Funny i did that in Blender aswell.Then i saw the video.

[jim]

WT? Who's gonna waste their time like this? People like this are just NUTS!

[rosiefay]

Your subject is a good one. But your accent makes it unbearable to listen to your voice. Such a pity.