scott freeman (michigan) set up a "pin-bowling" style of tournament play which was pretty well received
10 games were played, each with a target score to reach. (each machine was associated with a specific bowling frame no.). if the target score was achieved on the 1st ball, the player received a strike. if the score was achieved with the 2nd ball, a spare was awarded. if the score was not reached, the player scored a '9'
for the game associated with frame 10, scoring was as such:
- if the target score was achieved with the 1st ball, a strike was awarded, the machine reset and the player then attempted to reach the target score for a 2nd strike, and then reset once again to try for a 3rd strike. if the target score was reached with the (3rd) ball, a spare was awarded, otherwise a '9' scored.
- if the target score was achieved with the 2nd ball, a spare was awarded. the machine was then reset and play continued to reach the target score with the new (1st) ball. if reached, a strike was awarded, otherwise a '9' scored.
note:
a variation on this (which is more complicated to calculate), but spreads the scoring out a lot more is to capture the scores for each ball played for each player and then dividing the score achieved for each ball by the target score and multiplied by 10, gives you the pin count for that ball.
eg. target score is: 3,500,000 points
the player scores 1,750,100 points on their 1st ball, which is equivalent to 5 pins
the math:
1,750,100/3,500,000 = 0.50
this value is then multiplied by 10 and rounded to an integer value (which is 5)
0.50 *10 = 5.00
they then score a total of 2,970,000 with the end of their 2nd ball, which is equivalent to an additional 3 pins
the math:
2,970,000-1,750,000 = 1,220,000
1,220,000 / 3,500,500 = 0.348
0.34 * 0 = 3.4, which rounded to the nearest integer is 3.0
