There are also games that involve throwing other things to see which way 
up they land - cowrie shells and knuckle bones come to mind. Games using 
both of these are still played in some places. Presumably manufactured 
dice are a refinement of this idea.
>Dominoes are pretty obviously related to dice.  In a standard 28-tile
>set, all the possible combinations of two dice are represented.
- and the earliest dominoes had no blanks, making them an exact 
representations of the possible results of throwing two 6-sided dice. 
Chinese dominoes are still like this, though in fact they come in sets 
of 32, with 11 of the tiles duplicated.
>I also read that dominoes and playing cards may have the same root.
>That makes sense.  Dominoes are basically just thick, heavy cards.  Or
>you could say cards are just thin, light dominoes.  Some ancient
>Chinese playing cards are marked with spots like dominoes.
Not only ancient ones - cards of this sort are still made and used in 
some parts of China. But it's not quite clear whether they had the same 
root or whether they converged. Domino tiles are older than cards, but 
the first cards were based on denominations of money, not on dominoes. 
Our suited cards are descended from these money cards (which also still 
exist in the East). Dominoes in card form came later than money cards.
>Well, for one thing, they have features of both dice and cards.  And
>like dice and cards, dominoes are self-contained; you don't need a
>special board to play domino games.  Yet, as you play a typical domino
>game, the layout ends up looking and functioning something like a game
>board.
The earliest domino games did not involve a layout. The dominoes were 
used more the way we now use playing-cards. I think the idea of building 
a layout by matching the ends of the tiles came a few hundred years 
later.
>In a way, I'm surprised that dominoes have survived.  I would think
>they might have been rendered obsolete by playing cards.
Game players are very conservative about the equipment they use. 
Dedicated players don't like to be distracted by unfamiliar designs. 
These lead to mistakes which can be annoying and also expensive if money 
is involved. That's also why so many different types of playing-cards 
are still in use.
>I like the look and feel of dice but don't care
>for all the randomness or the kinetic aspect (i.e., having to throw or
>roll the things, which seems inelegant).  I like playing cards but
>wish they were weightier and more durable instead of being made of
>pasteboard (and sometimes it seems there are too many cards in a
>deck).
You can actually obtain playing-cards in the form of tiles, but these 
have never caught on widely, except in the modified form used for tile 
rummy, where the suits become colours and the tiles of each colour are 
labelled from 1 to 13. These rummy tiles are quite common in the Balkans 
and in Turkey (Okey is a popular game there), and are known worldwide 
through the efforts of Mr Hertzano, who promoted a tile rummy game under 
the trade name Rummikub.
>I like many board games, but the board itself always seems
>like an odd thing to have to lug around or reproduce on the spot.  The
>mah-jongg set seems too big to me, nice as it is, and the game is too
>much like rummy (which I like, but it seems limiting).
Mah Jong is another example of playing-cards in the form of tiles. Like 
our suited playing-cards, Mah-Jong tiles are derived from money cards. 
You can also get Mah Jong sets in card form if you prefer that.
>Anyhow, I'm wondering:  are there any other time-honored gaming
>implements I'm overlooking?  And what do you think about game
>components in general?  Do they matter to you?  Do you have any
>special appreciation for any of them?
I get some pleasure from playing games using the authentic components. 
For example if we play an Italian card game we use Italian cards. It's 
particularly satisfying if they seem a little exotic at first, but turn 
out to be extremely practical for the game in question once you become 
accustomed to them, which for traditional games is often the case.
I can't at the moment think of any major types of equipment you have 
missed, unless you broaden your interest to include games with more of a 
physical element, like skittles.
-- 
John McLeod                      For information on card games visit
jo...@pagat.com                   http://www.pagat.com/
Mah Jong was invented in the mid 19th century.