Chiral Aperiodic Monotiles - Their discovery and their construction using Inkscape - Spectre tiles

Hot on the heels of their discovery of the Einstein tiles (The Hat and the Turtle) the same team of David Smith, Joseph Myers, Craig Kaplan and Chaim Goodman-Strauss have made further discoveries. This video explains these new discoveries. Many ideas are covered: periodic and aperiodic tilings, chiral and non-chiral tilings, weakly chiral and strongly chiral aperiodic monotiles.
The weakly chiral aperiodic monotile that David Smith discovered, the first ever such tile discovered, is constructed in this video using the open-source vector graphics software Inkscape. Step-by-step instructions are given for this construction. This tile is then transformed into an example of a Spectre monotile. These are strongly chiral aperiodic monotiles. A colourful tiling is then started.
Inkscape can be downloaded from inkscape.org
Please like the video if you enjoyed watching and don't forget to subscribe to my channel: @mistercorziShow more

Chapters
0:00 Intro & The controversy surrounding the Hat tile
2:04 Discussion of Chirality
2:37 Animation showing an infinite set of non-chiral aperiodic monotiles
5:28 David Smith's discovery of a chiral aperiodic monotile
7:41 Constructing Tile (1,1) using Inkscape
15:42 Creating a Spectre tile
20:57 Starting a tiling
22:27 End links
"Correction:" 17:40 Symmetric shapes are OK - my mistake.

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
Beyond the Penrose Tiles Part 6 - The Einstein Tile - How to Construct an Aperiodic Monotile Using Inkscape (The Hat Tile) https://youtu.be/BirP2U5l0j0
Beyond the Penrose Tiles Part 7 - The Einstein Tile Part 2: Exploring tiling techniques using Inkscape (Hat Tile)