Union
$$A \cup B =$$
{ attaching, creative, danger, exciting, glide reflection, keeping still, receptive, reflection, rotation, serene, soft, translation }
Symmetric Difference
$$A \ominus B =$$
{ attaching, creative, danger, exciting, glide reflection, keeping still, receptive, reflection, rotation, serene, soft, translation }
Difference
$$A - B =$$
{ attaching, creative, danger, exciting, keeping still, receptive, serene, soft }
Cartesian Product
$$A \times B =$$
{ (attaching, glide reflection),
(attaching, reflection),
(attaching, rotation),
(attaching, translation),
(creative, glide reflection),
(creative, reflection),
(creative, rotation),
(creative, translation),
(danger, glide reflection),
(danger, reflection),
(danger, rotation),
(danger, translation),
(exciting, glide reflection),
(exciting, reflection),
(exciting, rotation),
(exciting, translation),
(keeping still, glide reflection),
(keeping still, reflection),
(keeping still, rotation),
(keeping still, translation),
(receptive, glide reflection),
(receptive, reflection),
(receptive, rotation),
(receptive, translation),
(serene, glide reflection),
(serene, reflection),
(serene, rotation),
(serene, translation),
(soft, glide reflection),
(soft, reflection),
(soft, rotation),
(soft, translation) }
Bagua