Spells and Symmetry

A Spell is given by four words of the same length. In SpellCubed they player is expected to find several different Spells for a given Roll. But there is a subtlety in determining what “different” means here. Our page Spells an Symmetry (Video) provides a video version of this topic.

Let’s look at an example a Spell in which the Top Word is ADZE, the Front Word is BOWL, the Bottom Word is CLAY and the Back Word is DATA.

We could rotate each Cube separately horizontally by a quarter turn so that the Front Word is ADZE, the Bottom Word is BOWL, the Back Word is CLAY and the Top Word is DATA.

Or starting from the original Spell, we could rotate each Cube separately vertically by a half turn so that the Top Word is ADZE, the Front Word is DATA, the Bottom Word is CLAY and the Back Word is ADZE.

If we look at all such possibilities, we see there are eight cases.
In SpellCubed we certainly want all of these to be considered as the “same” Spell. If a player has found one Spell, it would be uninteresting to reward the player for “finding” any of these other seven variations and getting credit as a “new” Spell.