September 19, 2024
Collaborative Halloween Math and Art Project: Ghost Tessellation. Design a unique Halloween tessellation using the Spectre tile! (FREE templates)
Halloween Math Craft Activity | Ghost Tessellation Math & Art Project I The Spectre Tile | Ghosts
Let me tell you the story.
The Einstein Tile (An Aperiodic Monotile), also known as the Hat, was discovered by David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss. It is the first-ever shape in mathematics to tile the plane endlessly without ever quite repeating the pattern (check out my free templates). When tiling the plane, the Hat uses both reflected and unreflected tiles in every arrangement, leaving open the question of whether a single shape can tile aperiodically using translations and rotations alone.
This question is answered with the exciting discovery of the Spectre (A Chiral Aperiodic Monotile), which means it can tile the plane without needing reflected copies, and no tiling with unreflected copies has a repeating pattern.
In this freebie, you will find 9 different versions of Spectre Tiles. On pages 4-11, there are tiles with different ghost faces. On page 3 is a blank tile version where students can draw their own weird faces.
You don't need to use reflected copies to cover the plane. Design a unique Halloween tessellation using the Spectre tile!
Each student cuts out and colors their own ghost or multiple ones. Everyone's pieces perfectly connect together to make a mural, door decoration, or bulletin board display. Let your students express themselves using this hands-on Halloween Math & Art activity during the exploration of the Spectre Tile.
Students can experiment and create many different patterns with Spectre tiles.









