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*ISFL / NSFL Scorigami (S24 Update) - Mojojojo - 09-19-2020 Scorigami is a traditional art form in (American) football that glorifies final scores that have never happened before (for example, in NFL history: https://nflscorigami.com/). Scorigami is only possible due to the unique nature of how points are scored in football, where there are a lot of possible but unlikely score combinations that have never happened. While combinations of 3 point field goals and 7 point touchdowns are the norm, it is possible to score 8 point touchdowns with a 2-point conversion, 2 points on its own as a safety, and 1 point after the opposing team scores a touchdown (never on its own). Previous media articles have taken the scorigami tradition from the NFL and applied it to the ISFL / NSFL. An early post by @infinitempg tracked scorigami through week 13 of season 11 with code available on github. @nickyvmlp took up the reins in season 17, exploring every unique score to date in two fantastic articles—Part 1 and Part 2. Most recently, user @IthicaHawk created a scorigami update through week 7 of season 22 and tracked new scores through season 23 in his series of Elo rankings posts. In this post, I provide a full season 24 update on ISFL / NSFL scorigami, with a deep dive into all ten of the unique scores posted this season. Next, I discuss trends in scorigami over time and what we might expect next season with the new expansion. Finally, I list out some of the league’s all time most notable scorigami games, based on total score, score differential, and more. Before we get started, a few pointers on how to read the scorigami charts below. These charts summarize the final scores from all 1,576 regular season and playoff games played in the ISFL / NSFL since its inception through season 24 (pre-season doesn’t count!). Out of these 1,576 games, 585 have ended in unique final score pairs. For each final score pair, the winning team’s score is graphed along the top (horizontal) axis and the losing team’s score is presented along the right (vertical) axis. Scores marked in green (or another color) have happened, scores marked in white have not yet happened, and scores marked in dark grey are impossible. The lower left triangle is greyed out because the losing team cannot score more points than the winning team. Here is the “classic” scorigami chart that just shows unique score pairs that have happened in the ISFL / NSFL through season 24: We can take the visualization one step further by adding a color gradient that represents the number of times that the score pair has occurred in the ISFL / NSFL (see below). The darker the green, the more often the final score has occurred. Two scores are tied for most common outcomes: 20-17 and 27-24 (each having occurred 21 times). Other top score pairs include 30-24 (18 times), 27-20 (17 times), and 24-17 and 27-10 (both 15 times).  New Scorigamis in Season 24 Next, to aid in our discussion of the most recent scorigami in the league, we can color the score pairs not by count but by season in which they were first achieved (see below). For simplicity of presentation, I am providing unique colors only to those scores that were added since the series of posts by @nickyvmlp in season 17. The ten bright yellow tiles scores are those achieved for the first time this season. Let’s learn a little more about how these occurred!  The first scorigami of season 24 came in week 3. The New Orleans Second Line stomped the Arizona Outlaws for a 37-12 home field victory. The Outlaw’s 12 points came from four field goals as the team was never able to make it into the endzone for a big score. The Second Line’s 37 points came from three field goals and four touchdowns (with extra point good), the final score coming as the game clock hit 0 seconds (way to rub it in!). So this scorigami was just a new combination of traditional 3-point and 7-point scores. The following week (4) saw another scorigami, with the Orange County Otters crushing the Honolulu Hahalua 39-16 as the away team, despite a number of interceptions. This scorigami involved some more unusual score combinations. The Otters scored two field goals and five touchdowns, but Dasistwirklichseinnachname had a Kai Forbath kind of night missing the extra point kick on two of the touchdowns. Honolulu scored two touchdowns, one from a drive following an interception by Banks. They also earned a two-point safety tackling Armstrong in the end zone after a booming 68-yard punt by Powers pinned the Otters QB on his own 2-yardline. Week 6 saw another scorigami and one of the lowest scoring games in league history. The Colorado Yeti eked out a home field 7-3 win over the Otters. The Yeti scored an early touchdown after which the game remained scoreless until an early fourth quarter field goal from the Otters. It was a strong defensive display on both sides of the ball, with both teams wracking up critical sacks to end drives before they reached the red zone. In league history only one other game has ended in only 10 total points: the Hahalua’s 10-0 shutout away win over the Yeti in season 22 week 8. The lowest scoring game in league history was also a Hahalua win over the Yeti (see final section). The following week (7) ended with two scorigamis: the Outlaws’ 42-9 home field victory against the Yeti and the Hahalua’s 22-7 home field victory over the Yellowknife Wraiths. In Arizona, it was not a good day for the Yeti offense, which allowed six sacks in the game. After a scoreless first quarter, the Outlaws began a relentless onslaught of touchdowns, making it into the endzone their sixth and final time just as the game clock reached zero. The Yeti never made it to the endzone, scoring only three field goals. In Honolulu, the Hahalua skated to victory (pun intended) with five clutch 40+ yard field goals by Powers and one touchdown. The Wraiths were only able to score one rushing touchdown. The next scorigami of season 24 came in week 9 in Sarasota. The Sailfish slipped by with a 23-22 home field win over the Otters despite a first drive fumble that helped the Otters take an early nine point lead with back-to-back-to-back field goals in the first quarter. The second quarter saw both teams score a touchdown and field goal apiece, so the Otters were winning 19-10 at halftime. But the Otters faltered in the second half, scoring only one more field goal to bring their total to 22. The Sailfish scored one touchdown and then another, failing on their 2-point conversion to add a buffer. However, they were able to make a defensive stand and end the game 23-22. Week 10 saw another scorigami with the San Jose Sabercats getting a clutch away win over the Wraiths, 28-3. The Wraiths only managed to put one field goal on the scoreboard in the first quarter, with the Sabercats scoring 4 touchdowns to take the win. This game was scorigami just because the losing team can usually muster more than a single field goal. In week 14, the Sabercats participated in another scorigami match; this time in Honolulu. In this game, the Hahalua won at home 22-14. The game came down to the final quarter, with a third quarter score of Sabercats 14 (two touchdowns) and Hahalua 13 (a touchdown and two field goals). But the Hahalua battled it out, scoring a critical touchdown in the fourth quarter. They missed the two-point conversion, but were able to later drive for a field goal to put themselves up by 8. While the Sabercats tried to drive for a last minute score to put the game into overtime, two back-to-back sacks from Logan Noble Jr. and Shawn Dawkins clinched a turnover on downs and a win for the hometown Hahalua. The final two scorigami of season 24 occurred in week 16. (Unfortunately, there were no playoff scorigami this season). The first scorigami was the Sailfish’s 47-13 away victory over the Butchers. The Sailfish came to play in Chicago, erasing any questions that they were a playoff contender. They opened the game with a touchdown-scoring drive and continued to rack up the points in every quarter with a field goal and safety in the second, two touchdowns in the third, and two more touchdowns in the fourth. The Butchers were unable to mount much of a counterattack, scoring only two field goals in the first quarter and one touchdown in the fourth. The second scorigami of week 16 came with the Yeti shutout home field win 28-0 over the Philadelphia Liberty. The Liberty, with no hopes of making it to the playoffs and wanting to at least get a top pick from their mediocre season, was happy to lose the game. They entered some questionable strategies, with their kicker lined up as quarterback for at least one formation. With that kind of playbook, it’s no wonder they weren’t able to put up any points at all. The Yeti, with hopes to go all the way in the Ultimus, scored four touchdowns to clinch their final win of the season. Scorigami over Time: Could the S25 Expansion Mean More Crazy Scores?! Now, let’s take a look at the trends in scorigami over time. Here I graph the number of scorigami achieved each season of the ISFL / NSFL. Because of league expansions and schedule changes, the number of scorigami could be misleading since later seasons play more games (and therefore have more chances for new final scores). So I also graph the proportion of games played in a season that result in scorigami, providing a standardized comparison. It is natural that early seasons of the league would have the greatest number and proportion of scores that result in scorigami, since there are fewer incumbent scores to fill in the scorigami chart. And we see a relatively steady decline in the frequency of scorigami as the league progresses through season 16. In season 16, the league expanded to add the Chicago Butchers to the NSFC and the Austin Copperheads to the ASFC. The following season, season 17, saw a record low number and proportion of scorigami. However, in season 18, it jumped back up with 18 unique final scores, which declined through season 21. The season 22 expansion adding the Sarasota Sailfish to the NSFC and the Honolulu Hahalua to the ASFC seems to add another spark of entropy (chaos) to the system, and we see a jump in the number and proportion of scorigami corresponding to the introduction of new teams and shifting of players across teams. I am hoping that this trend of increased entropy with expansions will mean that the S25 season, with the New York Silverbacks and the Berlin Fire Salamanders, will result in even more scorigami. Maybe even a new Ultimus scorigami! We’ll have to wait to find out. Most Notable Scorigami of All Time So there has been some great scorigami added to the books this past season, but none have been quite so crazy as the league’s most notable scorigami of all time. Here I list out some of the outliers in the league’s scorigami, setting records for most unique of all of the unique scores: Most recent Ultimus scorigami: It’s always extra exciting when scorigami happens during the playoffs or in the final title battle. This hasn’t happened for some time, with the most recent Ultimus scorigami being from season 16. In that title game, the Arizona Outlaws won over the Philadelphia Liberty 34-30. Highest point differential scorigami (also the highest winning team score scorigami): The Otters score 76 points at home against the Outlaws’ 7 in week 12 of season 14. Bonus: the point differential is 69! On that note, I also include an honorable mention for this category: another lopsided home victory by the Otters. In week 6 of season 6, the Otters scored 69 points to the Yeti’s 17 for a home field rout. You have to respect that 69-point finish! Highest losing team score scorigami: This category is a heartbreaker; what was the team that scored the highest amount of points only to lose the game. And that title goes to the Chicago Butchers, who scored 42 points away, but still lost by 2 points to the Outlaws’ 44 in week 11 of season 20. With a total score of 86, this is tied for third-highest total score game in league history. I think it’s hard to imagine a more difficult loss. Highest total score scorigami: Interestingly, the highest total score game in league history—at a whopping 92—doesn’t take the title for highest winning team score nor highest losing team score. This title goes to the season 11 week 6 match up between the Yeti and the Wraiths. The Yeti scored 51 points at home, managing to win by ten points against a Wraiths team that put up 41. Lowest total score scorigami: The lowest scoring game in league history came only last season (23) in week 9. The Hahalua hosted the Yeti at home, managing a 6-3 win. Combined, the teams only scored 9 points, trading field goals and never making it into the endzone. Finally, it’s natural to wonder which team in the league appears the most often in scorigami matches. This question is more difficult to answer because just looking at number of scorigami matches would give an unfair advantage to teams that have been in the league longer and have played more games. Even standardizing by number of games played—looking at proportion of games played that resulted in scorigami—could still give an unfair advantage to teams that have been around since the early days of the league when unique scores were more common. So, to create a completely level playing field I will only consider the top scorigami team since the season 22 expansion.  Of the teams in the league between seasons 22 and 24, the Honolulu Hahalua appear in the most scorigami matches, participating in 12 of the 49 scorigami matches in that period. Honolulu is the lead scorigami winner, appearing 8 times as the winner of the unique score pair. So it looks like the Hahalua were able to capitalize on the extra scorigami entropy that the season 22 expansion created. On the flip side, the team that appears the most as the losing team in scorigami is the Chicago Butchers, who lost 9 out of the 10 scorigami games in which they participated. Sad times. Notes on Data and Methods Data for this post was scraped from the forum index “Weekly Results” page for each season. The dataset includes the season number, week number, winning team code and final score, losing team code and final score, and win type (home, away, or tie) for all NSFL / ISFL regular season and playoff games scraped from the forum index. Pre-season games are not included. Furthermore, playoff byes that appear in the index but were simulated until the bye team won were excluded from the database. These were determined based on best overall record going into the playoff bracket for seasons 16 through 24. Data analysis and visualizations were done in R using the ggplot2 package. Where needed, the viridis color palette was used to provide a color-blind accessible and perceptually uniform scale (meaning that values close to each other have similar-appearing colors and values far away from each other have more different-appearing colors, consistently across the range of values). Given the high proportion of males in the league and the fact that color blindness is a Y-chromosome carried trait, odds are that at least one reader of this post will appreciate this attention to detail. Data and analysis code is available now on github here! That’s all from this S26 rookie! DSFL GMs, please draft me: Ernest Lover – DE. RE: ISFL / NSFL Scorigami (S24 Update) - .simo - 09-19-2020 Well guess I can say I was QB in a scorigami game. RE: ISFL / NSFL Scorigami (S24 Update) - infinitempg - 09-19-2020 i've always wanted to build a scoragami tracker every time the index updated, but i was too lazy. this is great! RE: ISFL / NSFL Scorigami (S24 Update) - IthicaHawk - 09-23-2020 Very cool, nicely done RE: ISFL / NSFL Scorigami (S24 Update) - Pat - 09-23-2020 My Lord man. Slow it down. Actually no. Keep it up.