Then You haven´t seen this c-pawn-handicap either (due to a won bet before the game) :
http://www.chess.com/echess/game?id=45101297
Chess Variant I Have Not Seen
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I've seen that ponz.
I think it was claimed that no game should last more than 4 turns.
Not sure about that claim as I have had games go more than 4 turns per player.
There is no reason I can think of to put on that limitation.
I guess the c pawn handicapp did not help the person who did not have the c pawn ?
You guessed it right, David. 
Here is another chess variant I have not seen or seen discussed.
both players are in adjacent rooms with their own chess board and pieces.
It is normal chess except the moves are only given to the referee in the middle.
When it is your turn you can make any move that is not illegal. If you make a check or are in check the referee in the middle announces "check"
If you make an illegal move you may take it back and make a legal move.
If then you make a 2nd illegal move on the same move
you lose your turn. [sometimes advantageous in a pawn endgame]
If you queen a pawn your opponent is not notified.
This variant is very hard to play...
I played that online...Needless to say, it was stupid.
The 2nd variant is very difficult and thus some would say it is stupid.
The first variant is fun and not at all stupid. Here are 4 games played today
White aearsley Black ponz111
1. e3 [aearsley]
2. Nh6 d5 [ponz111]
3. Qg4 Qxc8 Qxd8+ [aearsley]
4. Kxd8 e6 Nd7 a5 [ponz111]
5. b4 bxa5 a6 axb7 bxa8=Q+ [aearsley]
6. Ke7 Nb6 Nxa8 Ng4 Nxf2 Nxh1 [ponz111]
7. h4 h5 h6 hxg7 gxh8=Q Qxb7 Qh4+ [aearlsey]
8. Kd7 f5 f4 f3 fxg2 Ng3 gxf1=Q check mate [ponz111]
White ponz111 Black aearsley
1. e3 [ponz111]
2. c5 Qb6 [aearsley]
3. d4 dxc5 cxb6 [ponz111]
4. axb6 Ra5 Rd5 Rxd1+ [aearsley]
5. Kxd1 a4 Ra3 Rc3 Rxc8 ch mate [ponz111]
aearsley won one game but I cannot read his writing will post it later.
ponz111 vs aearsley
1. Nh3 [ponz111]
2. d5 Qd7 [aearsley] [way too defensive-ponz]
3. e3 Bb5 Bxd7+ [ponz111]
4. Bxd7 Bxh3 Bg4 Bxd1 [aearsley]
5. b4 b5 b6 bxc7 c8=Q check mate [ponz111]
I must say, Ponz, that is more interesting than suicide chess.
Dark, our vote chess team mate lives near me and was playing me in person. He teaches chess to a good number of mostly high school students and they played and enjoyed both variants very recently. Too bad we did not keep a record of our original games as they were quite interesting.
It turns out the first variant 1 2 3 4 5 is a good teaching tool for teaching high school students and they really enjoy....
The chess variant with 1 2 3 4 moves is called progressive chess.
The variation where the two players have their own board with a referee in the middle and they have to guess moves and positions is called Kriegspiel.
It's generally called Rocket Chess.
Then there is another way to play regular timed chess or it can be used for fast chess. I used to play this with my son. It is called the doubling cube.
All games are played for money. If any time during the game either players says :DOUBLE!" then the other player has two options.
1. he can resign his game immediately
2. he can play on but for double stakes. If the player who is doubled
plays on then he can at any point call "REDOUBLE!" then the other player has two choices:
1. he can resign immedately but if he loses then he loses double the amount wagered as there has already been a "double"
2. He can play one but now the stake is 4 times the original wager.
If he plays on he has the possibility of 'REDOUBLEDOUBLE!" and then the stake is 8 times the orgininal wager. REDOUBLEDOUBLE! is the last of the doubles and redoubles.
" If on your move you give check--that ends your series."
Does the move-amount drop after that ??? 
With the doubling cube the game is much harder as there is more to think about.
This is a fun way to play chess that I used to play over 40 years ago but yet have not seen it mentioned on chess.com
White starts with one move
Black gets two moves
White gets three moves
Black gets four moves
and so on. If on your move you give check--that ends your series.
It is fun and helps your tactical and also thinking ahead...