The field game is an exercise in dexterity and visualization, imagining which way the individual fields point and how they will interact. It isolates the idea that direction of field cannot be determined by physical shape. Most magnetic arrangements present a field oriented on the long axis. The ellipsoid's field goes through the short axis.
Placing the magnets requires a light touch, a gentle but focused interaction with the fields.
The use of the spherical magnet in the flower game presents the idea that even when its round a permanent magnet is bi-polar...but in the good sense.