By JMD
Figure 1. A quipu replica
Quipu was the closest thing the Inca had to a writing system, but it didn't use paper, it used rope. Quipu were mainly used as a way to catalog items given in tribute payments, which were essentially the Inca form of taxes. Quipu are unique in the way that it is one of the few writing systems to not use an alphabetic script. Usually quipu consisted of only numbers, but sometimes words were constructed with syllable-like knots. Quipu were also used as calendars, mostly by the church.
Quipu were constructed out of a large main cords with smaller "pendant cords" attached. Pendant cords would have knots that meant various things. Pendant cords showing numeric data would have a number between 1 and 9, with an empty space meaning 0, with the position of the numbers distance to the top signifying its numerical place, eg. ones, tens, hundreds. Pendants with "words" are formed by syllable-like knots place close to another to form a "word". Calendrical quipu had multiple weeks per pendant, with knots to specify special dates like Sundays, birthdays, and death dates.
Figure 2. Knots on a quipu and their numeric translations
Figure 3. A quipu being shown off at an Andean traditional festival
Quipu were helpful when it came to the collection of tribute payments, as a quipu accompanying the tribute acted somewhat like a receipt, telling the tribute collector which items were given and how many there were. Additionally, quipu worked well for census collection, with a similar receipt format being presented to the Inca government to tell them the state of their peoples. Quipu is still used infrequently in rural Peru, mostly by shepherds to keep track of their goat and sheep populations.
More places to learn about the quipu!
https://www.si.edu/collections/snapshot/quipu A good general overview on quipu.
https://www.peruforless.com/blog/quipu Talks about quipucamayocs and how to read a quipu.
https://www.neh.gov/project/quipus-inca-language-knots Talks about the efforts to study quipu in modern times