Union
$$A \cup B =$$
{ beauty, crown, foundation, gemini, glory, kingdom, mercy, pisces, sagittarius, severity, understanding, victory, virgo, wisdom }
Symmetric Difference
$$A \ominus B =$$
{ beauty, crown, foundation, gemini, glory, kingdom, mercy, pisces, sagittarius, severity, understanding, victory, virgo, wisdom }
Cartesian Product
$$A \times B =$$
{ (beauty, gemini),
(beauty, pisces),
(beauty, sagittarius),
(beauty, virgo),
(crown, gemini),
(crown, pisces),
(crown, sagittarius),
(crown, virgo),
(foundation, gemini),
(foundation, pisces),
(foundation, sagittarius),
(foundation, virgo),
(glory, gemini),
(glory, pisces),
(glory, sagittarius),
(glory, virgo),
(kingdom, gemini),
(kingdom, pisces),
(kingdom, sagittarius),
(kingdom, virgo),
(mercy, gemini),
(mercy, pisces),
(mercy, sagittarius),
(mercy, virgo),
(severity, gemini),
(severity, pisces),
(severity, sagittarius),
(severity, virgo),
(understanding, gemini),
(understanding, pisces),
(understanding, sagittarius),
(understanding, virgo),
(victory, gemini),
(victory, pisces),
(victory, sagittarius),
(victory, virgo),
(wisdom, gemini),
(wisdom, pisces),
(wisdom, sagittarius),
(wisdom, virgo) }