Photo by Brianna Marian Photography

The US Quidditch Cup 10 gameplay format and bid allocation structure are announced below.

Gameplay Format

US Quidditch Cup 10 will feature a 60-team pool play preliminary format.

The pool play structure rewards teams for stronger play during the season by basing the preliminary stage of gameplay on how well they did during the season. Teams will also know the schedule for all of their preliminary games before the event begins.

There will be 12 pools of 5. Teams will be put into pools based on the pot system. The top 12 teams according to the USQ rankings will be put into pot 1. The next 12 teams (ranked 13-24 of competing teams) will be in pot 2, and so forth for five total pots. Each pool will have one team from each of the five pots, randomly selected. For example, a team from pot 1 will be randomly selected and placed into pool 1. Then another team from pot 1, of the remaining 11 teams, will be randomly selected and placed into pool 2.

Following pool play on Saturday, the top 3 teams in each pool will advance to Sunday’s 36-team single elimination bracket.

Bid Allocation

Bids will be allocated based on the number of registered teams in a region as of September 30 at 11:59pm ET, in addition to the performance of teams at US Quidditch Cup 9. For more on the precise method that will be used, see below.

Due to performance at US Quidditch Cup 9, regions earned initial auto-bids for the next championship. Teams that advanced to the round of 16 or further earned a full bid for their region.

Great Lakes: 2
Mid-Atlantic: 2
Midwest: 0
Northeast: 4
Northwest: 1
South: 0
Southwest: 5
West: 2

Each team will qualify through one of the eight regional championships.

The auto-bid will be awarded to the region the team is competing in as of September 30 at 11:59pm ET. In most cases, this will be the team’s general region. However, if a team applies for a regional transfer waiver by September 30 and the request is approved, the auto-bid would move with them to the region whose championship they are competing in. If a team applies for a regional transfer after September 30, the auto-bid will remain with their original region.

Huntington-Hill Method

This season, USQ used the Huntington-Hill method of apportionment in determining bid allocation, which is used by the United States House of Representatives in determining its seats. The Huntington-Hill method ensures that each region is represented at the US Quidditch Cup according to the size of the region.

Using this method, we first determine a standard divisor, found by dividing the number of registered teams by the available number of available event bids. We then calculate a standard quota for each region, which represents the number of bids each region would receive if the bids were an exact representation of the region’s size. Unfortunately, ¼ of a team cannot receive a bid to represent their region at the event so some rounding must occur, which is why using this mathematical method is necessary.

If a region’s standard quota is less than the geometric mean of the integers between which it is located, a region is allocated the lower of those integers; if the region’s standard quota is greater than the geometric mean of the integers, it is allocated the higher of the integers.

If the total sum of all of those initial quotas adds up to the total number of bids, the initial quotas are used; otherwise, a modified divisor is used in place of the standard divisor so that the modified quotas sum correctly and those modified quotas are then used.

Further reading on the Huntington-Hill method can be found from the Mathematical Association of America.

For questions about the gameplay format or bid allocation, please contact Events Manager Mary Kimball at