Using this method, cut a curvy or jagged line horizontally across an index card. This cut edge will form the outside of the shape, so avoid straight lines that would create an uninteresting shape. The bottom piece is slid to the top so that the straight edges are aligned in the center of the shape. The paper is secured with tape before another interesting line is cut vertically from the top to the bottom of the shape. The right piece is moved to the left so that the straight edges are aligned in the center. The pieces are taped. Trace this pattern repeatedly across a piece of paper interlocking the edges so that there are no gaps or overlaps.
Create a solid rectangle. Use the free form cutting tool to cut a wavy or jagged line horizontally through the rectangle, loop the cutting tool down around the bottom of the shape and connect the line back to the starting point so that half the rectangle can be moved. Use the mouse to drag the bottom of the rectangle to the top, aligning the straight edges. Follow the same method to cut a wavy or jagged line vertically through the shape. Drag the left portion to the right, aligning the edges. Copy and paste several of these shapes, coloring each one a different shade. Connect the shapes fitting the edges into each other like a jigsaw puzzle.
Experiment with different combinations of pattern blocks (triangles, squares, hexagons and trapezoids) until you find a combination that can be repeated in an interlocking pattern. Lay this combination of blocks on a piece of paper and draw around the outer edges of the resulting shape. Slide the blocks as a group until they interlock with the first outline. Trace around the shapes again. Continue until you have drawn a repeated pattern on the paper with no gaps or overlaps.
Use die-cut capital block letters L, H and I as tessellation patterns. Trace around the outline of the letter. Slide the letter to interlock with the previous tracing each time. The letters T and F also tessellate but not by translation because every other tracing must be flipped for the pattern to work.