Nine dots are placed in three rows of each three dots, as shown in the picture. These nine dots must be connected by four straight, connected lines (i.e. without 'lifting up the pen' in between).
Using only 3 straight lines and without lifting your pencil, can you connect all the dots?
Can you solve the 12 dot puzzle? The challenge is to connect every dot with five straight lines. However, each line must connect to the last (think about a pen you cannot pick up from the paper). The twist to this is that the last line must end at the beginning of the first line.
Using points, straight lines, and possibly the curve of a parabola, construct a piecewise function whose graph looks like a smiling face.