I have to do a tessellation project. The directions state that "vertices must meet" and the first problem is "use the triangular grid to complete the star-and-hexagon tessellation that has been started." It shows a grid with three stars shaded, creating a hexagon in the middle of them. Then: "Use different colors to clearly show the stars and hexagons. Do no have shapes of the same color touch each other."
I've been going crazy staring at this thing for about 2 hours. I started coloring - top star blue, bottom star green, hexagon in the middle yellow, hexagon opposite the yellow one red, all 4 coming to a nice vertex point of blue, yellow, green, red. Then I realized that to continue the tessellation, the next star would have to be another color because it touches both the blue and green stars at one point each. However, if you add another color star, it takes the common vertex away. So, when it says not to have shapes of the same color touch each other, does it just mean sides, then? Or, if touching at points really isn't okay, where do I find my common vertex?
Thanks so much for your help.
I've been going crazy staring at this thing for about 2 hours. I started coloring - top star blue, bottom star green, hexagon in the middle yellow, hexagon opposite the yellow one red, all 4 coming to a nice vertex point of blue, yellow, green, red. Then I realized that to continue the tessellation, the next star would have to be another color because it touches both the blue and green stars at one point each. However, if you add another color star, it takes the common vertex away. So, when it says not to have shapes of the same color touch each other, does it just mean sides, then? Or, if touching at points really isn't okay, where do I find my common vertex?
Thanks so much for your help.