VID052_How to play Lonpos "Super Challenge"

In today's video, I will perform the first 2-D Super Challenge puzzle. Next, I will perform the first 3-D Super Challenge puzzle, including the examples provided.
There are twelve 2-D Super Challenge puzzles, and twelve 3-D Super Challenge puzzles, with a total of 24 Super Challenges in the instructions book.
First, place the whole piece on the board, as shown in the diagram (this piece cannot be moved). You job is to find all possible combinations where two puzzle pieces can fit, and fill in the shaded circle. You do not need to play out all combinations to figure out the answer; all you need is math. Pick a piece (simplist one), and place it in A position. Try to figure out all possible positions the second piece can fit without moving the first piece. Then, move the first piece to a different position, then figure out the second piece again.
To make sure you have all positions for one piece, remember the number of dots times the number of positions. Some pieces have four positions if they are symmetrical, and some pieces have eight positions when flipped. Pieces A - E are not symmetrical (eight positions), while pieces F - L are symmetrical (four positions). For example, piece A has four dots, times eight positions (32). However, in some of those positions, the piece will hit the wall or another piece, so cancel out those moves.
Another way to solve for this is by first finding all possible positions the first piece can fit. Then, find all the positions the second piece can fit. Multiply those numbers together. Next, subtract the number of times the two pieces overlap. The result is the answer. In puzzle A1, there are two positions for piece K, and twenty positions for piece B, with zero overlaps. (20 x 2 - 0 = 40).
The second half of the video will show you how to perform 3-D Super Challenges. Remember that you can either lay the piece flat, or stand it up. However, the piece has to rest somewhere, without floating in the air. See how many possible combinations you can make with puzzles A1 and A13. There are eight examples for puzzle A1, and twelve examples for puzzle A13.