Cyclomancy is a form of divination

Divination

Divination is the attempt to gain insight into a question or situation by way of an occultic standardized process or ritual...

 based on spinning an object and deriving predictions or conclusions from the object's final resting direction. In some traditions, a wheel or top

Top

A top is a toy that can be spun on an axis, balancing on a point. This motion is produced in the most simple forms of top by twirling the stem using the fingers. More sophisticated tops are spun by by holding the axis firmly while pulling a string or twisting a stick or pushing an auger as shown...

 is spun on a surface marked with letters or symbols, and those that fall closest to the device's pointer are consulted. In other traditions, any suitable object may be spun and its direction may be used to obtain a simple yes/no answer or directional indicator. For example an object with a distinguishing feature may be spun between two diverging paths or disparate objects, and the one closest to the feature is chosen. The party game Spin the Bottle

Spin the bottle

Spin the Bottle is a party game in which several players sit/stand/kneel in a circle. One player spins a bottle and must kiss the person to whom the bottle points, who then spins the bottle in turn...

 is loosely based on this concept.

Cyclomancy is sometimes used in Dowsing

Dowsing

Dowsing is a type of divination employed in attempts to locate ground water, buried metals or ores, gemstones, oil, gravesites, and many other objects and materials, as well as so-called currents of earth radiation , without the use of scientific apparatus...

.