Feedback wanted on solitaire idea

["mwillett1960" <mwillett@...>]

I've been using piecepack tiles to play a card solitaire game I
learned as a child, and am interested in the feedback of the group.

The game's advantages: (a) it can be played without a tableau of any
kind, even while sitting in a car or just by discarding in your lap;
(b) the rules are really simple; (c) perfect scores are not uncommon. 

The game's disadvantages: (a) it is much more satisfying to play with
tiles using a thin substrate, such that all 24 tiles can fit in one
hand like a stack of poker chips; (b) it may be considered to be more
of a hand "diversion" than a game.

After shuffling and stacking the tiles suit up, the first and fourth
tile are compared. If suits match, the two intervening tiles are
discarded; if denominations match, all four tiles are discarded. If
there is no match, the player moves on to the next tile and begins the
comparison of first/fourth tiles again. The stack is continually
collapsed until there are no more possibilities, and your score is the
number of remaining tiles. Perfect score is zero.

Questions: with this game being so cumbersome using thick tiles such
as in the Mesomorph set, does that disqualify it? If not, does anyone
know the name of the playing card deck solitaire equivalent?