The Fibonacci series has been studied since it was first described by Leonardo of Pisa--Fibonacci--in 1202. It begins with the sequence 1, 1, 2, 3, 5, 8... Each succeeding number is the sum of the previous two. In number theory courses, students are introduced to the concept of modulo arithmetic, sometimes called "clock" arithmetic. In modulo arithmetic, once a designated number--the modulus--is reached, one starts counting again. An individual can apply any modulo system to the Fibonacci series. Regardless of the system used, the numbers in the series will eventually repeat, thus creating a cycle. The number of "elements" in the series, before this repetition begins, is called the "cycle length." In this article, the author constructs "number wheels" based on Fibonacci-type sequences in modulo 8. These number wheels will exhibit fascinating properties and patterns, and can be explored by students interested in number theory. (Contains 4 figures and 5 tables.)