DAVID SMITH discovered the single Aperiodic Monotile that we are using to make the artistic collaborative EXQUISITE TESSELLATION Prints. We are just one of the many ART PROJECTS that David Smith blogged about based on his tessellation shapes:
TESSELLATIONS:
We pushed the EXQUISITE TESSELLATION Print Project all year, culminating in Silver City where we made big collaboration Steamroller Prints, ran two tessellation workshops, and had an exhibition at the SOUTHWEST PRINT FIESTA in October 2025:
** MAJOR EXHIBITIONS **
SOUTHWEST PRINT FIESTA
Silver City, New Mexico
More specifically, we put on 4 EXQUISITE TESSELLATION events during the SOUTHWEST PRINT FIESTA 2025 :
***
TUNEL GRAFICO
JUAREZ, MEXICO
We also showed 163 EXQUISITE TESSELLATION Prints in the TUNEL GRAFICO exhibition at the University of Juarez in Mexico from August 22, extended to November 15, 2025:
INDEX of BLOG POSTS
- (UPDATE: September 19, 2025) PRINTMAKING WORKSHOP in Juarez
We cut out both SMALL and BIG tessellation tiles, by laser cutting Linoleum, and CNCing Expanded PVC Foam:
** TESSELLATION TILES **
SMALL LINOCUTS
2024 SUMMARY
"HAT" FILES
for LASER CUTTING
SINGLE Tiles
- Single "hat" vector file -- EinStein.SVG (689 bytes)
- LightBurn SINGLE "hat" file --**** 7inch_hat_square.LBRN2**** (10.51 KB)
MULTIPLE Tiles
Vector files for a 12 x 18 inch linoleum plate (though I think these files have to be resized so that the tiles are 7 inches at the widest):
- 7 "hat" tile vector file -- tessellation_hat_7.SVG (2.27 KB)
- 6 "hat" tile AI (vector) file -- tessellation_hat_6.AI (307.41 KB)
BIG LINOCUTS
for the STEAMROLLER
We bought three big sheets of 36x36 inch linoleum
for about $125 from Dick Blick, for the big tessellation linocuts
TESSELLATION TILES
Expanded PVC Foam -- Tessellation Tiles
CNC cutting TESSELLATION TILES
We also cut small stiff foam EXQUISITE TESSELLATION tiles -- from Expanded PVC Foam -- for quick tessellation workshops. Visitors can gouge into the stiff foam with ball point pens, quickly and easily, and we can quickly print those with a Tortilla Press or Portable Press.
HOWEVER we CANNOT laser cut the stiff foam, as it has PVC in it, and laser cutting will produce poisonous CHLORINE GAS. So we have to cut out the stiff foam tessellation tiles on the CNC:
VECTOR FILE to upload to the CNC:
- EinStein.SVG (689 KB) -- single tessellation shape
VCARVE FILE -- the CNC file with the layout for 24 x10 sheet (1/8 inch thick), to cut out six Ein Stein "hat" tessellation shapes, with a 60 Degree V Slotting cutter bit:
- Ein_Stein.CRV (42 KB)
The Expanded PVC Foam tessellation tiles have to be cut on a CNC, as cutting on the laser cutter produces poisonous CHLORINE GAS:
ALTERNATIVE TESSELLATION SHAPES
There is a whole family of aperiodic tessellation monotiles that can be derived by altering the "hat" shape that DAVID SMITH discovered. This YouTube -- Aperiodic monotile animation -- shows how the "hat" shape easily morphs into other different shapes that tessellate as well:
So we experimented with other tessellation shapes after creating them with a program online:
- INTERACTIVE ONLINE TESSELLATION Program-- for aperiodic monotiles
download: monotile3.SVG (1.42 KB)
- Curvy_Tess.TAP (394.29 KB)
- Sheet: Width 24", Height 12", Depth .128"
- (I am not sure what bit this is for, 30 or 60 degrees)
VCarve file:
- monotile3.TAP (407.22 KB)
- 30 degree bit
- 6 inches at the widest
VCarve file:
- monotile2.TAP (8.30 KB)
- 30 degree bit
- 6.5 inches at the widest
At first we tried using a "Drag Knife" on the CNC to cut out tessellation tiles from Expanded PVC Foam. However this did not work well, at least on our first try. I am sure there is a way to do this better, but it was a lot easier using the drill bits:
OTHER
** INNOVATIONS **
We ordered a "hat" shape die on Ebay from the Ukraine hoping to punch out tessellation tiles from both linoleum and Expanded PVC Foam. The die is too thick to run through the FISKARS FUSE Die-Cutting SYSTEM, and we have yet to try using it with a Leather Cutting Press:
We had the idea of making ceramic tiles from the "hat" tessellation linocuts. So Aaron and I experimented at Quelab with making a mold from my linocut. The idea would then be to make slip castings from the mold or something. We also considered punching out "hat" shapes from leather hard dried clay, and letting the artists scribe into the clay directly, before cooking in the kiln -- which might be the best approach:


























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