Difficulty degree:
1 2 3 4 5 6
Designer:
Dorothea Makroglou
The wizzle "Geo 6" is available in the basic version of 42 tiles in two colors (21 tiles of each color), as well as in the extended edition of 54 tiles (27 tiles of each color) and you can choose from a variety of color combinations. We can create personalized versions for you with the number of tiles and color combination you desire. Here are the available colors and possible combinations.
Check out the "How to Play" section to see how to use the wizzle and discover many ways you can make use of it. You can also suggest your own ideas for what you can do with the wizzle, which, if you wish, we will share in the "Creativity & Learning Community" section to make them accessible to the entire wizzle user community.
Cost of the basic version of 42 tiles: 9€ Cost of the extended version of 54tiles: 12€
The wizzle Geo 6 belongs to the p6 symmetry group of the 17 wallpaper symmetry groups which has center of 6-fold rotation (60°), centers of 3-fold rotation (120°) and centers of 2-fold rotation (180°) (Baloglou, 2007). The Geo 6 creates a periodic tessellation based on a triangular grid, thus possesing the trivial isometry of a 360° rotation as well as many trivial isometries of translation (horizontal, vertical, diagonal). In the above images, where you see the tessellation created by the Geo 6, you can observe the centers of 6-fold rotation in one of the three nodes of the main triangular grid and the centers of 3-fold rotation in the other two nodes. The 2-fold rotation centers are found in the middle of the segments that connect the 3-fold rotation centers. These isometries constitute the elementary solving rule of the Geo 6. A set of six tiles around the center of the 6-fold rotation forms a meta-tile, the basic structural unit of the infinitely repeating (with translation isometry) pattern that fills the Euclidean plane, providing a second approach to solving the Geo 6.
For educational purposes, and not only, you can use the tiles of the Geo 6 to create all kinds of isometries (translation, reflection, glide-reflection, all types of rotations: 2-fold, 3-fold, 4-fold, 6-fold, etc., and compositions of isometries). However, not all of these isometries create a tessellation οn the plane. You can find more details in the section "Wizzle in education".