October 2009 1 Escher Square Tiles, in Google SketchUp This project combines a little bit of geometry with a lot of creativity. You start with a square, add, copy, and erase some lines, then add some personal touches, to get a very neat Escher tiling pattern. Step 1: Create the Shape of the Tile 1. Open Google SketchUp. If your file contains a person standing on the ground near the origin, click the Eraser tool and erase him. 2. Switch to Top view (from the main menu, choose Camera / Standard Views / Top) . You should see the word “Top” at the top left corner. 3. Activate the Rectangle tool.
3DVinci Math Projects Escher Square Tiles, in Google SketchUp October 2009 2 4. Click one point, then move the mouse until you see the “Square” popup. Then click again to complete the square. 5. Now we’ll change the edges of all four sides of the square. Start by activating the Line tool. 6. Add some jagged lines along the top edge, creating new faces both inside and outside the square. (You don’t have to copy my lines; draw something different if you like.) 7. What gets added to the top of the square needs to be removed from the bottom, and vice versa. So these new faces need to be copied to the bottom of the square. First we need to select what’s going to be copied, so activate the Select tool.
3DVinci Math Projects Escher Square Tiles, in Google SketchUp October 2009 3 8. Keeping the Shift key pressed, click the new faces. They should all become selected. 9. Now activate the Move tool. 10. Before clicking anything, press the Ctrl key (PC) or the Option key (Mac). (You don’t have to keep this key pressed, just tap it.) This adds a “plus” sign to your cursor, which means you’re about to make a copy of whatever is selected.
- Summer '08