Card solitaires aren't known for being compact, in face solitaires differentiate each other by the shape of its setup, which can range from square inches to hectares. Attempts have been made to create compact solitaires that do not require a surface, but it seems inherent for playing cards to be played on a surface. Here's a cute little attempt at a handheld solitaire.
More of a puzzle, the game only requires 13 cards of a suit, or even just one of each rank. The cards are shuffled and then fanned out. The sequence lies in a circle so when played in hand one should remember that the sequence wraps around. Cards are moved one at a time. Number cards move exactly the same number of spaces (between cards) as their rank. Court cards move the same number of moves as either card beside it. You cannot move a card twice in a row. The goal is to arrange the cards into an ascending order.
The game's main feature is the wild nature of the court cards. As is, the cards can simply cycle through all the spaces, thus making the ordeal trivial if not for the court cards adding something extra by strategizing placements. As a puzzle it's simple to pick up and play, the simplicity coming more from its linearity.