Premium Only Content

Einstein Tile - How to Construct an Aperiodic Monotile Using Inkscape (The Hat Tile)
The Hat Tile or Einstein Tile (aperiodic monotile)
The discovery of an "Einstein Tile" was announced on 20th March 2023. This is a single tile that will completely tile the infinite plane but cannot do so in a periodic manner. Such a tile is called an aperiodic monotile. Previously it was not known if such a tile existed.
The video puts this discovery in context by describing how it develops from the work of Roger Penrose and his discovery in the 1970s of the Dart and Kite - a set of two tiles that had the same property.
The video then shows how the tile can be constructed using Inkscape which is a free open source vector graphics software. You are taken through each step in detail.
The video finishes by showing how you can attempt to create a tiling with the tiles you constructed. This is a fun activity.
Inkscape can be downloaded from inkscape.org
Please like the video if you enjoyed watching and don't forget to subscribe to my channel: @mistercorzi
Chapters
0:00 Intro & Context
1:43 Inkscape preparation
3:38 Constructing the tile
10:14 Creating a set of 5 coloured tiles
12:19 How to start tiling
14:39 End links
Other videos in this series:
Using Inkscape to construct the Penrose Tiles (Part 1: Outline shape of the Kite and Dart) https://youtu.be/ru9MrsHaGAk
Using Inkscape to construct the Penrose Tiles (Part 2: Constructing the edge constraint patterns) https://youtu.be/yeSZfd8eu9U
Using Inkscape to construct the Penrose Tiles (Part 3: Exploring Penrose Tiling (Kites and Darts)) https://youtu.be/2LaM_cTinAs
Using Inkscape to construct the Penrose Tiles (Part 4: Inflating a Penrose Tiling (Kites and Darts)) https://youtu.be/h__oFu2T3Ig
Penrose Tiles Part 5 - Kites, Darts, Inflation, Fibonacci Numbers and the Golden Ratio https://youtu.be/vxgIM2Xaa3E
-
8:28
MattMorseTV
11 hours ago $2.77 earnedThe EU just SURRENDERED to Trump.
20.8K16 -
2:09:17
Side Scrollers Podcast
16 hours agoKirsche & Leaflit on HIT LIST + Nintendo RUINS Mario Kart + More | Side Scrollers Live
3.73K5 -
14:17
GritsGG
1 day agoCopy Our Strategy We Use to Win & Instantly Improve!
15.5K2 -
6:08:23
The Pascal Show
16 hours ago $0.05 earnedDIDDY TRIAL LIVE! HERE WE GO! Feds Begin Closing Arguments Trial Day 31 & MORE
2.2K1 -
GamerGril
5 hours agoTGI-FrightDay | A Gril Among Us
17.3K6 -
1:19:26
Man in America
11 hours agoIs MAHA Pushing the WEF’s Wearable Agenda? w/ Dr. Ealy
113K76 -
8:35:28
SpartakusLIVE
10 hours agoNEW Loadouts have DROPPED from ADVANCEDgg || !advanced
68.1K3 -
30:28
Solar Groove Muzic
1 day ago $7.89 earnedAFRO HOUSE MIX 2025 | The Best of Afro House Music
39.4K5 -
41:00
The Finance Hub
18 hours ago $5.39 earnedI CAN'T BELIEVE WHAT JUST HAPPENED TO SEN. ADAM SCHIFF!
18.9K19 -
3:52:16
SynthTrax & DJ Cheezus Livestreams
1 day agoFriday Night Synthwave 80s 90s Electronica and more DJ MIX Livestream HEATWAVE Edition
45.2K9