
Freelance Friday is a semi-regular feature at Nylon Calculus where we solicit, accept and publish articles from the broader community in the interest of further democratizing the study of basketball analytics. This weekās post, on a measure of versatility, is fromĀ Devin Kharpertian. Devin is the managing editor & founding partner of The Brooklyn Game, YES Networkās web affiliate covering the Brooklyn Nets with a healthy mixture of statistical analysis, incisive reporting, and bemused irreverence[1.Ā Brooklyn Game had one of my favorite series of basketball post in the last few years, where Devin got Andre Kirilenko to record what amounts to a Directorās Commentary track of Kirilenkoās reads and thought processes on various playsĀ ā SP]. Follow him on Twitter @uuords.

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Much of what this site attempts to do is assess value of one kind or another, whether thatās something as under-researched as rim protection or silly as jump balls.[1. I maintain that Brook Lopez has yet to lose a jump ball this season, despite Mattās evidence to the contrary.]
While watching Draymond Green tear apart some team last month, I began thinking about the value of guys that do absolutely everything that can be recorded statistically, at least by the basics. I pulled on this thread enough until I came up with a concept: the āanti-trillion,ā which values a player doing as many different things in a single game at once.
For the uninitiated, a ātrillionā in the NBA refers to a player that plays at least one second and does not do anything to impact a gameās box score. In the box score, the playerās line then reads their minutes played, followed by a bunch of zeros, hence ātrillion.ā
An anti-trillion, thus, is the opposite of that: you record an anti-trillion when you record at least one of every box score stat. Thatās FG, FGA, 3P, 3PA, FT, FTA, ORB, DRB (and thus TRB), AST, STL, BLK, and PTS.[2.Ā One quick note: though a pure trillion includes zero fouls and zero turnovers, an anti-trillion does not count these. In the way that a trillion rewards insignificance, an anti-trillion is about robustness: a player shouldnāt be penalized because he was good enough to avoid fouling someone or turning the ball over.]
It is, at heart, a frivolity, but that doesnāt mean it isnāt descriptive. Triple-doubles only require you to do three things: pass the ball, rebound the ball, and shoot the ball.[3. Or, if youāre Hassan Whiteside, hunt down anyone who might shoot in the paint.] Even the more expansive and insanely difficult 5Ć5 only asks you to do a couple more things defensively.
But an anti-trillion requires you to do everything. You have to play some disruptive defense. You have to make three-pointers. You have to get to the free throw line. You have to rebound on both ends. Some players can dominate within five feet of the basket, others can dominate within 25 feet of one particular basket, but an anti-trillion requires you to have an impact everywhere.
Like the triple-double or 5Ć5, recording an anti-trillion doesnāt automatically relegate you to superstar status. Some legends can go their entire careers without putting up an anti-trillion. Shaquille OāNeal blew his only shot at an anti-trillion by not recording a block or a foul at some point on this fateful night in 1996:
Stephen Curry, whoās in the midst of arguably the greatest season of all time, has only recorded three anti-trillions this year, because heās only had five games with a blocked shot. The aforementioned Hassan Whiteside would never get a trillion, because that would require him to shoot three-pointers and pass the ball.
It is restrictive. Only 11 players have recorded 20 or more trillions since the beginning of the 2013-14 season, and theyāre all either All-Stars or Josh Smith.[4. SMOOVE!]
In this sense, the anti-trillion rewards across-the-board versatility in impact, in a way that hasnāt really been rewarded in the public domain before. Think about it: if youāve got a block, a steal, a rebound on both sides of the floor, an assist, a three-pointer, and got to the line, right there thatās six plays youāve had an impact on. And players never end with just one number in each category.
Hereās a look at the top six players on the anti-trillion list since the beginning of the 2013-14 season.[5. Thanks to Seth for compiling and including the totals below.]
LeBron James and Draymond Green, 27: Green was the one that originally got me looking into this, so it makes sense that he lands somewhere among the best players. LeBronās no surprise either. Jamesās impact as an otherworldly scorer inside the paint is the biggest thing that separates these two guys[3. āOther than that giant hole in the rudder, the Titanic is pretty sturdy, boss!ā], and since both can score regularly, it makes sense theyād end up around the same number.
Kawhi Leonard, 28: Already you can see the value, and the archetype, of the anti-trillion: the first three players mentioned are three of the leagueās best, most versatile forwards with top-flight defensive reputations.
Jimmy Butler, 29: As Derrick Rose falls out of favor in Chicago, Jimmy Butler fills in the gaps. Heās improved as a three-point threat and distributor over the past few years, and his increased workload also means more trips to the free throw line.
James Harden, 36: To be honest, this is not someone I expected to show up anywhere near this list, and heās far and away the second-best! Hardenās reputation as a porous defender precedes him, so the notion that heād gobble up enough games where he had an impact on twoĀ defensive possessions is⦠surprising, to say the least. Heās the only guy in the top rankings whoās a defensive negative. But Harden picked up nearly two steals per game last season and a career-high 60 blocks, which led to an NBA season-high 20 anti-trillions last year.
Paul Millsap, 42: There should be more ways to value how good Paul Millsap is, so selfishly, Iām glad I found one. Millsap is one of the leagueās most versatile players: a killer defender who can hit three-pointers and score inside. Heās never quite been thought of as a superstar, but thereās a huge value in having Millsap on the floor to fill in those gaps.
Also, some potential up-and-comers in the anti-trillion category:
Kristaps Porzingis: Naturally. Porzingis has the potential to change how the game is scouted: how in the world do you stop a 7-foot-3 player who can put the ball on the floor and hit three-pointers? [5.Ā The Nets did a pretty good job pushing him around into a 5-for-17 night. But the physicality will only make him stronger. So that wonāt last long.]Ā Porzingis already has seven anti-trillions through the first half of his first season, which puts him on the same pace as the Jimmy Butler and Kawhi Leonard. Heās also 20 years old, and the Knicks will have control over his rights for the next eight years. His ceiling is terrifying.
Robert Covington: Covingtonās picked up 12 anti-trillions in just 110 games, despite not getting the same kind of minutes as the other guys on the list. It remains to be seen if he can do it on an NBA-quality team, but itās worth keeping an eye on.
Emmanuel Mudiay: Okay, this oneās super-early, because Mudiay missed a bunch of games and has been one of the leagueās worst shooters. But if he can ever fix that part of his game, heās got huge potential as an anti-trillionite: his size and athleticism means he gets rebounds, blocks, and steals in bunches. It doesnāt hurt that heās got a leash longer than Kristaps in Denver to develop.
Check out the complete list of anti-trillions[1. As well as the more mundane ābox score stuffers who recorded at least one of each of the 5 basic categories.] over the last season below