Math Can’t Fix This: Doritos Locos Tacos Doritos Ad Infinitum Taste Nothing Like Doritos

Well, it finally happened. After a year of resistance, I finally had a Doritos Locos Taco over the weekend. It pains me to say this, but they are delicious. I actually look forward to trying Doritos Locos Tacos Doritos–which, if you haven’t heard, are Doritos intended to taste like Doritos Locos Tacos.

I relayed this story last night to some URDPS folk and how I intended to create tacos using the Doritos Locos Tacos Doritos. This is when a stunning realization hit us: the Doritos Locos Tacos madness will eventually taste nothing like Doritos.

Why? Well, the chip portion of the taco only occupies the shell. This is a fixed amount of the taco as a whole. Let’s call this Doritos flavor amount p, where 0 < p < 1. Since Doritos Locos Tacos Doritos taste like Doritos Locos Tacos, they have p portion of Doritos flavor.

What happens when you construct Doritos Locos Tacos Doritos Locos Tacos? Again, the shell only takes on the flavor of chip, which is p portion. But we have diminishing Doritos returns, as that p portion only contains p portion Doritos flavor. So the Doritos Locos Tacos Doritos Locos Tacos only have p^2 Doritos flavor. And, likewise, the Doritos Locos Tacos Doritos Locos Tacos Doritos only taste like p^2 Doritos.

How about a third iteration? Again, the shell of the Doritos Locos Tacos Doritos Locos Tacos Doritos Locos Tacos only takes p of the flavor. But the original Doritos flavor only occupies p^2 portion of the Doritos Locos Tacos Doritos Locos Tacos Doritos shell. So the Doritos flavor is only p^3, and same for the corresponding Doritos Locos Tacos Doritos Locos Tacos Doritos Locos Tacos Doritos.

You can see where this is heading. The nth iteration of Doritos Locos Tacos and Doritos Locos Tacos Doritos have p^n portion of Doritos flavor. A little bit of math tells you that as the number of iteration approaches infinity, the total Doritos flavor goes to 0.

In other words, you end up with Doritos that don't taste anything like Doritos despite having n + 1 "Doritos" mentions in the name of the chip. They just taste like the inside of a Taco Bell taco.