  We study 4-by-4 squares formed by cards from the EvenQuads deck. EvenQuads is
a card game with 64 cards where cards have 3 attributes with 4 values in each
attribute. A quad is four cards with all attributes the same, all different, or
half and half. We define Latin quad squares as squares where the cards in each
row and column have different values for each attribute. We define semimagic
quad squares as squares where each row and column form a quad. For magic quad
squares, we add a requirement that the diagonals have to form a quad. We also
define strongly magic quad squares. We analyze types of semimagic and strongly
magic quad squares. We also calculate the number of semimagic, magic, and
strongly magic quad squares for quad decks of any size. These squares can be
described in terms of integers. Four integers form a quad when their bitwise
XOR is zero.
