BT: The set of blue triangular pieces

H: The set of hexagonal attribute pieces
SY: The set of small yellow attribute pieces
LY: The set of large yellow pieces
YH: The set of yellow hexagonal pieces

Which pairs of sets, if any, can be put into one-to-one correspondence

Pairs of sets that can be put into one-to-one correspondence would be sets with the same or equal cardinality.

Based on the given sets, the pairs that can be put into one-to-one correspondence are:
- BT and YH, since both sets refer to hexagonal pieces.
- SY and LY, since both sets refer to yellow attribute pieces.

To determine pairs of sets that can be put into one-to-one correspondence, we need to consider whether the two sets have the same number of elements.

In this case, we have:

BT: The set of blue triangular pieces
H: The set of hexagonal attribute pieces
SY: The set of small yellow attribute pieces
LY: The set of large yellow pieces
YH: The set of yellow hexagonal pieces

To determine if any pairs of sets can be put into one-to-one correspondence, we need to know the number of elements in each set. If the number of elements in two sets is the same, we can establish a one-to-one correspondence between them.

Unfortunately, without knowing the number of elements in each set, we cannot determine which pairs (if any) can be put into one-to-one correspondence.