Tessellation: an arrangement of the same geometric shape repeating over and over on a flat plane with no gaps or overlaps.

Rotation: a circular movement around a central point in a specific pattern.

Definitions & Fun Facts:

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-Tessellations are found everywhere such as oriental carpets, quilts, origami, and architectural floors.

-M.C Escher is known as the Father of Modern Tessellations.

-Only regular polygons like triangles, squares, and hexagons tessellate.

Let's Create the Tessellation:

Step 1: Open your Geogebra app when you get to the circle in the bottom left corner of your screen. *Your screen should look like this:

Step 2: Remove the axis and grid to make a blank screen. Then click on the menu bar on the top right.

Step 3: Click on the option "polygon" up on the top menu bar and click "regular polygon". Then you'll make to points, A & B, and a box will appear and say how many vertices. Type 6 to make a hexagon.

Step 4: Now click the "move" tool and choose the "pen" tool on the drop down menu.

Step 5: Draw a random line from point E to D. It can be either inside or outside the hexagon.

Step 6: Tap on the rotating tool and click on "rotating around point, and select your line you just drew then tap on point E. The degrees you want your line to rotate is 120. Make sure you're rotating it CLOCKWISE. Repeat the same steps 4 more times selecting the next line and point each time.

Step 7: Now it's time to remove the polygon. First hover your mouse over the the center of the polygon. Tap your touch pad with 2 fingers or right click. Click the "Show Object" label.

Step 8: Just like in step 7, do the same steps but for all your remaining points, if you have any left.(If you don't get the design you were hoping for, you can start over and do the same steps.