Basically what happens with horizontal spinners is the opponent flies in one direction and your robot in the opposite direction. A vertical one does the same bit that one has the arena and the whole globe underneath it to help it stay put.
Apart from that you have the helicopter effect that if a robot has a disk horizontal spinning anticlockwise the robot can turn faster to the right than to the left, and clockwise vice versa. Warhead is a prime example of that.
Overal vertical spinners are better manouverable but they have the problem that one wheel will start to lift at turns if the disk is at high rpms due to the gyroscopic effect.
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