# An interesting card trick

If you haven't seen this its here

Can you guys figure out the algorithm?

Note by Venture Hi
3 years, 8 months ago

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2^{34} $$2^{34}$$
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\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

## Comments

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The shuffling and carding does nothing to the placement of the selected 3 cards. It will always end up in position 6,22,38 on the 52 card stack. After removing each card to place them open and close ( odd is open and vice versa), the new positions are 8,16,24. Next iteration, the positions are 2, 6,10. Again, next iteration, 2,4,6. Last iteration, they are 1,2,3! Voila!

- 3 years, 8 months ago

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