Hectre the Spectre

In tiling theory the Holy Grail has been to find a monotile aperiodic tessellation. A tessellation a is a shape that can be repeatedly placed without any gaps or overlaps. Being a monotile there is only one shape. Being aperiodic means it can cover a surface without ever repeating a specific pattern. Such a shape, actually an infinite number of shapes have been found, Now you can make a set

Step 1: History

This 14 sided shape was discovered by David Smith of Bridlington in East Yorkshire England. He is such a cool dude. He doesn't even call himself a mathematical but a "Shape Hobbyist". So Cool. Mathematicians said that it wasn't actually aperiodic because if you flipped some of the tiles a periodic solution was found. So David's solution was to key the 14 sides so they would not fit together when flipped. David decided to name it a Spectre after a family member. A Spectre is a powerful Spirit or Presence. It turns out there are an infinite number of ways to key a Spectre but the one shown in the middle vaguely looks like a ghost. Adding a bit of detail and  out pops Hectre (the Spectre).

Step 2:

I have included a file to cut 24 of these spectres. Please find attached the included SVG file. The pattern is a tad less than 7½" square so it will fit on a piece of 1/8" MDF, 8" square. For larger ones the pattern can be sized to 15% to cut from a 12" MDF square. (206% for a 16" square)

Step 3: Acknowledgements

Thank you David Smith for you unique perspective. May you will keep the mathematicians running to keep up with you.