Strange h4 first move

I felt I played this well, but is there a point to the move h4. 

For the record, I was playing black. 

Unfortunately, I am not as good as god at this game.  I did however have the ability to control the center, trap his queen, and gain a large advantage. 

What is the best way to punish this mistake?

1 h4 is perfectly playable at below-master level, as is an first move.

(p. 225)

      KADAS OPENING

rnbqkbnr/pppppppp/8/8/7P/8/PPPPPPP1/RNBQKBNR b - - 0 1

1.h4

   The Hungarian player Kadas has the dubious distinction of being

perhaps the greatest living exponent of 1.h4, a move even Myers, a

true fan of bizarre openings, considers poor. It isn't as bad as 1.g4, of

course, since it does not create such critical weaknesses in the kingside

pawn structure. The opening is also known as the Desprez Opening,

or, among Americans, as the Reagan Attack, which has some-

thing to do with being "thoroughly unmotivated and creates weaknesses

with only vague promises of future potential", as Benjamin and I put it

in 1987.

Schiller, Eric. 1998. Unorthodox Chess Openings. Cooper Station, New York: Cardoza Publishing.

A great story. I bet that most grandmasters could easily win with very obscure moves if desired. That is a nice story!

1.h4 is a common opening move among beginners who have recieved no guidance.  It's usually followed by 2.Rh3.  Woo hoo!  Rook lift on move 2!

...which is then followed by 3. gxh3. 

Hugh Myers was a friend of mine. We both lived in Decatur, Illinois for a time. I have his book "A Chess Explorer"  RIP Hugh Myers.

Have good story about Duncan Suttles but gave it here before.

Maybe white moved h4. Trying to emulate guest71

I recall Nakamura playing 1.h4 in bullet.

It makes sense in that context -- an aggressive player trying to blow a less skilled player out of the book and out of the water in an ultra-fast time control. If Black complacently castles kingside, he could be very surprised.

According to an Amazon review of Nakamura's book on bullet chess, the chapter of bullet openings emphasizes 1.h4 and 1...h4.

http://www.amazon.com/Bullet-Chess-One-Minute-Mate/dp/1888690674

Here we go -- a chess.com article on Nakamura's bullet advice, including 1.h4.

bullet openings: openings that are objectively so bad that they can only be played in bullet. (i.e., 1.h4 is !? in bullet, if you have studied it. You will play a familiar position, he will be in the wild. He may also get angry or overconfident.) Play bullet openings if you find it fun. When defending, play sensibly, do not fall for the angry/overconfident trap.

"The principled response to such openings (1.h4, 1... h5) is to seek activity in the center, even if this means surrendering material.

http://www.chess.com/blog/PedroAreal/nakamura-bullet-advice

I used to play 1.h4 and 1.a4,when i was <1300.