The underlying principle at work is called the CATO PRINCIPLE, originated by Bob Hummer in the 40s. Simon Aronson took the principle to new heights when he published SHUFFLE-BORED. It is also ancestrally linked to another principle or procedure dubbed the CANCELLATION COMBINATION. This is well documented by Gardner, Fulves, Aronson, and Arthur F. MacTiere (See CARD CONCEPTS).
The downside to the trick just published in Genii is that you must openly alternately reversed cards. I prefer the versions were the spek does almost all the work.
Try this one, which is extracted from ARCH TRIUMPHS 2.0 (now on my Website):
THE SPECTATOR WORKS HARDER TO TRIUMPH
Racherbaumer - Duffle
This is based on a variation by Peter Duffle.
Effect: The magician removes sixteen cards and arranges them so that some cards are face up, others are face down. A spectator selects one of the face-down cards, which is cut back into the deck. The cards are then deal into four rows of four cards each, forming a 4 x 4 square of cards. The next phase depends on the spectators course of action. The procedure consists of picking one of the four sides of the card-square, then the cards comprising this side are turned over and onto cards immediately next to them. This is continued until all sixteen cards have been assembled into a single packet. The cards are spread and only one card is reversed. It is the selection.
Set-up: Arrange sixteen cards in the following face-up/face-down manner from the top: D-U-D-U-D-D-U-D-U-D-U-U-D-U-D-U. (Key: U = Up; D = Down) Notice that the cards alternate up/down except for the two underlined pairs. If you spread these cards the up/down condition looks haphazardly mixed. Place these sixteen cards on top of the deck.
Method: Introduce the deck. Take them into your right hand and place them face down on the table, saying: I'm going to mix the cards face up and face down. Cut the top half the deck to the right and turn it over. Perform a Closed Riffle Shuffle, but retain the 16-card set-up at the bottom of the right-hand section. Turn the deck over and hold it in your left hand. Spread the top sixteen cards (set-up) and take them into your left hand without disturbing their order, adding: We need only a few cards. Place the deck aside.
Continue: As you can see, the face-up and face-down cards are haphazardly mixed. Spread the top seven cards to ostensibly show the mixture. Close the spread and retain a left pinky break under the fifth card. Say, We can mix them further Flip over all the cards above the break. Turn the packet over and repeat the above action. The cards now alternate face-up/face-down.
Ask, Do you want to pick a face-down card from this side of the topsy-turvy packet, or from the other side? If the spectator requests the "other side," flip the packet over. Quickly spread the cards and have the spectator remove one of the face-down cards. When you spread, push over the first few cards in bunches, then widely spread the ones in the center.
After the selection is removed, close the spread and retain a pinky break at the point of removal. You will be holding a break between two face-up cards. As the spectator looks at her selection, turn the packet over and perform Marlo's Book-Break to form a step. Regain the break and have the spectator place her card face down on top. Perform a Slip Cut to the break and table the packet. Invite the spectator to perform several straight cuts, if she wishes.
If you prefer, when the spectator takes one of the face-down cards, separate the spread at that point. Turn your right hand palm down, turning its cards in the process, and table them. Have the spectator place his selection face down onto the tabled cards. Turn your left hand palm down, turning its cards as well, and place them onto the tabled cards to bury the selection.
The tabled packet is now set; the rest is automatic. Instruct the spectator regarding the re-assembling procedure.
Pick up the 16-packet and deal four cards from left to right in a row. Deal the next four cards from right to left, forming a second row directly under the first one. The third four-card row is dealt from left to fight and the last four cards are dealt from right to left. There is now a sixteen-card "square" consisting of four four-card rows and four four-card columns. For the purpose of clarity, the following layout is numbered to represent each card. This is the layout:
1 2 3 4
8 7 6 5
9 10 11 12
16 15 14 13
The cards numbered 1 - 2 - 3 - 4 comprise the top side of the card-square. Cards 4 - 5 - 12 - 13 comprise the right side. Cards 1 - 8 - 9 - 16 comprise the left side. Cards 16 15 - 14 - 16 comprise the bottom side.
Have the spectator choose a side. Suppose he chooses the right side. Therefore, turn over 4 onto 3, 5 onto 6, 12 onto 11, and 13 onto 14.
This process is repeated until all the cards are assembled into a sixteen-card packet.
Despite the apparently random flip-flopping from side to side, the outcome is predetermined. The only reversed card at the end of the process will be the selection. Ribbon-spread the cards to reveal it.