12 team round robin with doubleheaders

[jshaffer]

Alright guys, I've tried to take care of this on paper, but I can't seem to figure it out. I need to schedule 12 teams in a round robin that play each other once. The league plays on mondays and tuesdays on 3 fields and each of the teams will play a doubleheader every week. Here's the kicker... they only play one night a week but play the 2 games per week. Anyone have any ideas? I'm beyond frustrated.
For example, here's the first week:
Mon.
1   V  2    3  V   12      5   V   10
12 V  2     3   v   10     1   v   5
Tue.
4  v   11    6   v   9     7   v   8
4  v   9     6    v   8    7   v   11  

Any help would be much appreciated!  :-/

[Ian Wakeling]

I think the schedule below which I found using a computer search does what you want.

     Monday                  Tuesday 
  F1    F2    F3     |     F1    F2    F3 
(D J) (A G) (K L)    |   (C E) (B F) (H I) 
(J L) (A K) (D G)    |   (B H) (C F) (E I) 
------------------------------------------ 
(A I) (G H) (C L)    |   (B E) (J K) (D F) 
(G I) (H L) (A C)    |   (B D) (F K) (E J) 
------------------------------------------ 
(C J) (E G) (D K)    |   (I L) (F H) (A B) 
(C K) (D E) (G J)    |   (A H) (B L) (F I) 
------------------------------------------ 
(F J) (A D) (C H)    |   (I K) (E L) (B G) 
(A F) (C D) (H J)    |   (G L) (B I) (E K) 
------------------------------------------ 
(A E) (B J) (H K)    |   (C G) (D I) (F L) 
(B K) (E H) (A J)    |   (D L) (C I) (F G) 
------------------------------------------ 
               F1    F2    F3 
             (E F) (I J) (A L) 
             (D H) (G K) (B C)

To complete the round robin there are 6 matches among the 12 teams in the last round which you could play on either night of the week.  There is some field balance with all teams playing three or four times on each of the three fields.

[jshaffer]

Thank you so much!! That's awesome.