we have 22 teams playing in our quiz league this year - we need a
program the allows each team to play all the other teams once,
alternating home and away matches.

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Request for Question Clarification by tar_heel_v-ga on 07 Sep 2004 11:51 PDT

While designed for a sports league, will the following work?
http://www.timelesstech.com/a/sportssoftware/schedulewizard/features/

You can download a demo

-THV

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Clarification of Question by fatcontroller-ga on 10 Sep 2004 10:45 PDT

the progran/schedule is for each of the 22 teamd to play each other
team ONCE over a number of weeks and would also allow alternate Home
and Away fixtures - pleas help we're desperate  !!

Draw a circle with 23 evenly spaced points on it.  Label these 0, 1,
... , 22 in a clockwise direction, starting from the top (not that the
direction really matters).  Draw lines connecting points 22 and 1, 21
and 2, 20 and 3, 19 and 4, 18 and 5, 17 and 6, 16 and 7, 15 and 8, 14
and 9, 13 and 10, 12 and 11.  These are 11 parallel chords of the
circle (all horizontal), and one line lands on every point except for
point the point labeled 0.  Notice that none of the chords are
rotations of any of the other chords.  Let's say you'll have matches
once a week.  The first week there are 11 matches between the teams
connected by the lines.  So 22 plays 1, 21 plays 2 and so on.  Each
week after that there will be 10 games.  The entire season will be 23
weeks long.  To get the matches for the second week, leave the lines
like they are, but relabel the points, moving each number one step
clockwise.  So the point that had been labeled 2 is now labeled 1, the
one that was 3 is now 2 and so on.  There are only 10 matches, because
two teams don't have matches: team 22 has no line drawn to it (because
point 0 has been relabeled 22), and team 21 has a line connecting it
to team 0 which doesn't exist.  So the second week 20 plays 1, 19
plays 2, and so on.  For the third week, you relabel the points again,
once again rotating the labels one position clockwise.  After the 23rd
week, each team will have played each other team once.  To decide
whether a match is home or away, label one end of each line HOME and
the other end AWAY, switching ends from line to line.  So, label the
left end of the top line (the one that connects the points originally
labeled 22 and 1) HOME, and the right end AWAY.  Go down one line, and
label the left end AWAY, and the right end HOME.  Repeat this for all
the lines alternating which end is HOME and which AWAY as you go down.

Week 1

1-22
21-2
3-20
19-4
5-18
17-6
7-16
15-8
9-14
13-10
11-12

Week 2

20-1
2-19
18-3
4-17
16-5
6-15
14-7
8-13
12-9
10-11

Week 3

22-20
1-18
17-2
3-16
15-4
5-14
13-6
7-12
11-8
9-10

Week 4

21-19
18-22
16-1
2-15
14-3
4-13
12-5
6-11
10-7
8-9

Week 5

20-18
17-21
22-16
1-14
13-2
3-12
11-4
5-10
9-6
7-8

Week 6

19-17
16-20
21-15
14-22
12-1
2-11
10-3
4-9
8-5
6-7

Week 7

18-16
15-19
20-14
13-21
22-12
1-10
9-2
3-8
7-4
5-6

Week 8

17-15
14-18
19-13
12-20
21-11
10-22
8-1
2-7
6-3
4-5

Week 9

16-14
13-17
18-12
11-19
20-10
9-21
22-8
1-6
5-2
3-4

Week 10

15-13
12-16
17-11
10-18
19-9
8-20
21-7
6-22
4-1
2-3

Week 11

14-12
11-15
16-10
9-17
18-8
7-19
20-6
5-21
22-4
1-2

Week 12

13-11
10-14
15-9
8-16
17-7
6-18
19-5
4-20
21-3
2-22

Week 13

12-10
9-13
14-8
7-15
16-6
5-17
18-4
3-19
20-2
1-21

Week 14

11-9
8-12
13-7
6-14
15-5
4-16
17-3
2-18
19-1
21-22

Week 15

10-8
7-11
12-6
5-13
14-4
3-15
16-2
1-17
22-19
20-21

Week 16

9-7
6-10
11-5
4-12
13-3
2-14
15-1
17-22
21-18
19-20

Week 17

8-6
5-9
10-4
3-11
12-2
1-13
22-15
16-21
20-17
18-19

Week 18

7-5
4-8
9-3
2-10
11-1
13-22
21-14
15-20
19-16
17-18

Week 19

6-4
3-7
8-2
1-9
22-11
12-21
20-13
14-19
18-15
16-17

Week 20

5-3
2-6
7-1
9-22
21-10
11-20
19-12
13-18
17-14
15-16

Week 21

4-2
1-5
22-7
8-21
20-9
10-19
18-11
12-17
16-13
14-15

Week 22

3-1
5-22
21-6
7-20
19-8
9-18
17-10
11-16
15-12
13-14

Week 23

22-3
4-21
20-5
6-19
18-7
8-17
16-9
10-15
14-11
12-13

I already told you how to make a schedule, but since you are
"desperate" I went ahead and made it.  Home team is listed first in
each match.