What if, instead of the hour hand and the minute hand both going around the center of the clock, the minute hand went around the tip of the hour hand?
Back before people realized the earth orbited the sun, this type of shape was also used to calculate the positions of the planets in the sky at any given time.
Don't forget to check the button in the bottom right of the page to enable the second hand as well, which adds another layer of craziness.