61 team knockout fixture

61 teams: 3 byes, 58 teams play Round I, 60 matches over 6 rounds.

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How the 61 team fixture is drawn

Upper half and lower half

61 is odd, so the upper half gets (61 + 1) ÷ 2 = 31 teams (Teams 1–31) and the lower half gets (61 − 1) ÷ 2 = 30 teams (Teams 32–61).

Byes

Byes = next power of 2 − number of teams = 64 − 61 = 3. 3 is odd, so the upper half gets (3 − 1) ÷ 2 = 1 bye and the lower half gets (3 + 1) ÷ 2 = 2 byes.

Which teams get the byes, and why

The textbook places byes in this order: the 1st bye to the last team of the lower half, the 2nd to the first team of the upper half, the 3rd to the first team of the lower half and the 4th to the last team of the upper half. The remaining byes follow the same pattern, moving inward. For 61 teams:

  1. Team 61 — last team of the lower half
  2. Team 1 — first team of the upper half
  3. Team 32 — first team of the lower half

Teams with a bye do not play Round I. They go straight to Round II.

Round I and total matches

61 − 3 = 58 teams play Round I in 29 matches:

  • Match 1: Team 2 vs Team 3
  • Match 2: Team 4 vs Team 5
  • Match 3: Team 6 vs Team 7
  • Match 4: Team 8 vs Team 9
  • Match 5: Team 10 vs Team 11
  • Match 6: Team 12 vs Team 13
  • Match 7: Team 14 vs Team 15
  • Match 8: Team 16 vs Team 17
  • Match 9: Team 18 vs Team 19
  • Match 10: Team 20 vs Team 21
  • Match 11: Team 22 vs Team 23
  • Match 12: Team 24 vs Team 25
  • Match 13: Team 26 vs Team 27
  • Match 14: Team 28 vs Team 29
  • Match 15: Team 30 vs Team 31
  • Match 16: Team 33 vs Team 34
  • Match 17: Team 35 vs Team 36
  • Match 18: Team 37 vs Team 38
  • Match 19: Team 39 vs Team 40
  • Match 20: Team 41 vs Team 42
  • Match 21: Team 43 vs Team 44
  • Match 22: Team 45 vs Team 46
  • Match 23: Team 47 vs Team 48
  • Match 24: Team 49 vs Team 50
  • Match 25: Team 51 vs Team 52
  • Match 26: Team 53 vs Team 54
  • Match 27: Team 55 vs Team 56
  • Match 28: Team 57 vs Team 58
  • Match 29: Team 59 vs Team 60

Total number of matches = number of teams − 1 = 61 − 1 = 60 (not including a third-place match). There are 6 rounds, because 64 = 2 × 2 × 2 × 2 × 2 × 2 — worked out from the textbook illustrations, not a textbook formula.

Print or save as PDF

Tap “Print fixture (A4)” and choose “Save as PDF” as the printer to get a 61 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in portrait.

Questions

How many byes are there in a 61 team knockout fixture?

Byes = next power of 2 − number of teams = 64 − 61 = 3. 3 is odd, so the upper half gets (3 − 1) ÷ 2 = 1 bye and the lower half gets (3 + 1) ÷ 2 = 2 byes. The byes go, in order, to teams 61, 1 and 32. These teams do not play Round I and go straight to Round II.

How many matches and rounds are there for 61 teams?

Total number of matches = number of teams − 1 = 61 − 1 = 60, not including a third-place match. There are 6 rounds, because 64 = 2 × 2 × 2 × 2 × 2 × 2 (worked out from the textbook illustrations, not a textbook formula).

How are 61 teams divided into the upper and lower half?

61 is odd, so the upper half gets (61 + 1) ÷ 2 = 31 teams (Teams 1–31) and the lower half gets (61 − 1) ÷ 2 = 30 teams (Teams 32–61).

Can I print the 61 team knockout fixture or save it as a PDF?

Yes. Tap “Print fixture (A4)” and choose “Save as PDF” as the printer to get a 61 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in portrait.