''Quipu'' ( ), also spelled ''khipu'', are record keeping devices fashioned from knotted cords. They were historically used by various cultures in the central
Andes
The Andes ( ), Andes Mountains or Andean Mountain Range (; ) are the List of longest mountain chains on Earth, longest continental mountain range in the world, forming a continuous highland along the western edge of South America. The range ...
of South America, most prominently by the
Inca Empire
The Inca Empire, officially known as the Realm of the Four Parts (, ), was the largest empire in pre-Columbian America. The administrative, political, and military center of the empire was in the city of Cusco. The History of the Incas, Inca ...
.
A ''quipu'' usually consists of
cotton
Cotton (), first recorded in ancient India, is a soft, fluffy staple fiber that grows in a boll, or protective case, around the seeds of the cotton plants of the genus '' Gossypium'' in the mallow family Malvaceae. The fiber is almost pure ...
or
camelid
Camelids are members of the biological family (biology), family Camelidae, the only currently living family in the suborder Tylopoda. The seven extant taxon, extant members of this group are: dromedary, dromedary camels, Bactrian camels, wild Bac ...
fiber cords, and contains categorized information based on dimensions like color, order and number.
The Inca, in particular, used knots tied in a decimal
positional system to store numbers and other values in ''quipu'' cords. Depending on its use and the amount of information it stored, a given ''quipu'' may have anywhere from a few to several thousand cords.
Objects which can unambiguously be identified as ''quipus'' first appear in the archaeological record during 1st millennium CE,
[Urton, Gary. (2011). "Tying the Archive in Knots, or: Dying to Get into the Archive in Ancient Peru] likely attributable to the
Wari Empire.
''Quipus'' subsequently played a key part in the administration of the
Kingdom of Cusco of the 13th to 15th centuries, and later of the
Inca Empire
The Inca Empire, officially known as the Realm of the Four Parts (, ), was the largest empire in pre-Columbian America. The administrative, political, and military center of the empire was in the city of Cusco. The History of the Incas, Inca ...
(1438–1533), flourishing across the Andes from to 1532. Inca administration used ''quipus'' extensively for a variety of uses: monitoring tax obligations, collecting
census
A census (from Latin ''censere'', 'to assess') is the procedure of systematically acquiring, recording, and calculating population information about the members of a given Statistical population, population, usually displayed in the form of stati ...
records, keeping calendrical information, military organization, and potentially for recording simple and stereotyped historical "annales".
It is not known exactly how many intact ''quipus'' still remain and where, as many were deposited in ancient mausoleums
or later destroyed by the Spanish. However, a recent survey of both museum and private collection inventories places the total number of known extant pre-Columbian ''quipus'' at just under 1,400.
After the
Spanish conquest of the Inca Empire
The Spanish conquest of the Inca Empire, also known as the Conquest of Peru, was one of the most important campaigns in the Spanish colonization of the Americas. After years of preliminary exploration and military skirmishes, 168 Spaniards, ...
, ''quipus'' were slowly replaced by European writing and numeral systems. Many ''quipus'' were identified as idolatrous and destroyed, but some Spaniards promoted the adaptation of the ''quipu'' recording system to the needs of the colonial administration, and some priests advocated the use of ''quipus'' for ecclesiastical purposes. Today, ''quipus'' continue to serve as important items in several modern Andean villages.
Various other cultures have used knotted strings, unrelated to South American ''quipu,'' to record information—these include, but are not limited to,
Chinese knotting, and practiced by
Tibetans,
Japanese, and
Polynesians.
Etymology
The word ''Quipu'' is derived from a Quechua word meaning 'knot' or 'to knot'. The terms ''quipu'' and ''khipu'' are simply spelling variations on the same word. ''Quipu'' is the traditional spelling based on the
Spanish orthography, while ''khipu'' reflects the recent
Quechuan and Aymaran spelling shift. (pronounced , plural: ) comes from
Cusco Quechua, while many other Quechua varieties use the term . Currently, the
hispanicized spelling of ''quipu'' is the form most commonly used in both Spanish and English.
Purpose
''Quipus'' held information, decipherable by officials called ''quipucamayocs'', classified in various categories, narrated from the most important to the least important category, according to color, number, and order.
To date, most of the information recorded on the ''quipus'' studied by researchers consists of numbers in a decimal system, such as "Indian chiefs ascertain
ngwhich province had lost more than another and balanc
ngthe losses between them" after the Spanish invasion. In the early years of the
Spanish conquest of Peru, Spanish officials often relied on the ''quipus'' to settle disputes over local
tribute payments or goods production. ''Quipucamayocs'' (
Quechua ''khipu kamayuq'' "khipu specialist", plural: ''khipu kamayuqkuna'') could be summoned to court, where their bookkeeping was recognised as valid documentation of past payments.
Some knots — as well as other features, such as color, fiber type, cord attachments, etc. — are thought to represent non-numeric information, which has not been deciphered. It is generally thought that the system did not include phonetic symbols analogous to letters of the alphabet. However,
Gary Urton
Gary Urton (born July 7, 1946) is an American anthropologist. He was the Dumbarton Oaks Professor of Pre-Columbian Studies at Harvard University and the chair of its anthropology department between 2012 and 2019. Urton retired from Harvard in 20 ...
has suggested that the ''quipus'' used a binary system which could record
phonological or
logographic
In a written language, a logogram (from Ancient Greek 'word', and 'that which is drawn or written'), also logograph or lexigraph, is a written character that represents a semantic component of a language, such as a word or morpheme. Chinese c ...
data. According to Martti Pärssinen, ''quipucamayocs'' would learn specific
oral texts, which in relation to the basic information contained in ''quipu'', and pictorial representations, often painted on
quiru vessels, similar to
aztec pictograms, related simple "episodes".
In 2011, a potential match between a Spanish colonial document and six colonial-era ''quipus'' from the same region was identified.
Researchers believe this possible ''quipu''-document match is the strongest
Rosetta Stone
The Rosetta Stone is a stele of granodiorite inscribed with three versions of a Rosetta Stone decree, decree issued in 196 BC during the Ptolemaic dynasty of ancient Egypt, Egypt, on behalf of King Ptolemy V Epiphanes. The top and middle texts ...
-like connection currently known, which could offer key clues needed to unlock the full extent of the quipu code. Subsequent studies have built on the proposed ''quipu''-document connection, suggesting that the binary manner by which cords can be attached to the main body of the six ''quipus'' may encode
moiety affiliation, and, more recently, uncovering detailed Andean social structures encoded within the six ''quipus''.
The lack of a clear link between any indigenous Andean languages and the ''quipus'' has historically led to the supposition that ''quipus'' are not a
glottographic writing system and have no
phonetic
Phonetics is a branch of linguistics that studies how humans produce and perceive sounds or, in the case of sign languages, the equivalent aspects of sign. Linguists who specialize in studying the physical properties of speech are phoneticians ...
referent.
Frank Salomon, at the University of Wisconsin, has argued that ''quipus'' are actually a
semasiographic language, a system of representative symbolssuch as
music notation
Musical notation is any system used to visually represent music. Systems of notation generally represent the elements of a piece of music that are considered important for its performance in the context of a given musical tradition. The proces ...
or
numeralsthat relay information but are not directly related to the speech sounds of a particular language, like
ideogram
An ideogram or ideograph (from Ancient Greek, Greek 'idea' + 'to write') is a symbol that is used within a given writing system to represent an idea or concept in a given language. (Ideograms are contrasted with phonogram (linguistics), phono ...
s and
proto-writing.
Sabine Hyland claims to have made the first phonetic decipherment through her analysis of
epistolary ''quipus'' from San Juan de Collata, Peru'','' challenging the assumption that ''quipus'' do not represent information phonetically. However, the ''quipus'' in question date to the colonial period and are believed to have been exchanged during an 18th-century rebellion against the Spanish government, suggesting that their encoding may have been influenced by the introduction of European writing systems. With the help of local leaders, Hyland argues that the names of the two ''
ayllus'', or family lineages, who received and sent the ''quipus'' can be translated using phonetic references to the animal fibers and colors of the relevant quipu cords.
Numeral system
While Spanish colonial chroniclers, such as
Inca Garcilaso de la Vega, hinted at the numerical system of ''quipus'', it is
Leslie Leland Locke who is often credited with first demonstrating that many ''quipus'' encode numbers using a base-10 positional notation.
Starting in the late 1960's and building on Locke's foundational work,
Marcia Ascher and
Robert Ascher analyzed several hundred ''quipus'', revealing that most of the information recorded by ''quipu'' knots is numerical and can be systematically interpreted.
Most q''uipus'' use three main types of knots: simple
overhand knots; "long knots", consisting of an overhand knot with one or more additional
turns; and
figure-eight knot
The figure-eight knot or figure-of-eight knot is a type of stopper knot. It is very important in sailing, rock climbing and caving as a method of stopping ropes from running out of retaining devices. Like the overhand knot, which will jam under ...
s. The Aschers’ also identified a fourth, and less common, type of knot—a figure-eight knot with an extra twist—which they refer to as an "EE" knot. On a given ''quipu'' cord, knots are grouped into clusters. Each cluster is tied at specific registers, or lengths, along the cord. These knot clusters represent digits in a
base-10 number system. The units, or "ones" position is commonly tied at the bottom of a cord, followed by a space above it, then the "tens" position, then another space, then hundreds position, and so on. In other words:
* Powers of ten are denoted by position along the string, and this position is often aligned between successive strands.
* Digits in positions for 10 and higher powers are represented by clusters of simple knots (e.g., 40 is four simple knots in a row in the "tens" position).
* Digits 2–9 in the "ones" position are represented by long knots (e.g., 4 is a knot with four turns), and the digit 1 in the "ones" position is represented by a figure-eight knot.
*
Zero
0 (zero) is a number representing an empty quantity. Adding (or subtracting) 0 to any number leaves that number unchanged; in mathematical terminology, 0 is the additive identity of the integers, rational numbers, real numbers, and compl ...
is represented by the absence of a knot in the appropriate position.
For example, if 4s represents four simple knots, 3L represents a long knot with three turns, E represents a figure-eight knot, and X represents a space:
* The number 731 would be represented by 7s, 3s, E.
* The number 804 would be represented by 8s, X, 4L.
* The number 1493 would be represented by 1s, 4s, 9s, 3L.
Since the ones position on ''quipu'' cords are shown in a distinctive way (i.e., using long knots and figure-eight knots), it is usually clear where a number ends. Thus, it is possible that a single ''quipu'' cord could contain several numbers. For example:
* The number 107 followed by the number 51 would be represented by 1s, X, 7L, 5s, E.
The "reading" of ''quipu'' knots as numbers in the way outlined above is bolstered by the fortunate fact that ''quipus'' regularly contain sums in systematic ways.
For instance, a cord may contain the sum of the next ''n'' cords, with this relationship being repeated throughout the ''quipu''. In other cases, there are even cords which contain sums of sums. Such a relationship would be highly improbable if ''quipu'' knot values were being incorrectly interpreted.
Some data items are not numbers but what Ascher and Ascher call ''number labels''.
They are still composed of digits, but the resulting number seems to be used as a code, much as we use numbers to identify individuals, places, or things. For example, Carrie J. Brezine decoded that a particular three-number label at the beginning of some ''quipus'' may refer to
Puruchuco, similar to a
ZIP code.
Literary uses
Some have argued that far more than numeric information is present and that ''quipus'' are a
writing system
A writing system comprises a set of symbols, called a ''script'', as well as the rules by which the script represents a particular language. The earliest writing appeared during the late 4th millennium BC. Throughout history, each independen ...
. This would be an especially important discovery as there is no surviving record of written Quechua predating the
Spanish invasion. Possible reasons for this apparent absence of a written language include destruction by the Spanish of all written records, or the successful concealment by the Inca peoples of those records. Making the matter even more complex, the Inca 'kept separate "khipu" for each province, on which a pendant string recorded the number of people belonging to each category.' This creates yet another step in the process of decryption in addition to the Spanish attempts at eradicating the system.
Historians Edward Hyams and George Ordish claims quipus were recording devices, similar to musical notation, in that the notes on the page present basic information, and the performer would then bring those details to life.
In 2003, while checking the geometric signs that appear on drawings of Inca dresses from the ''
First New Chronicle and Good Government'', written by
Felipe Guaman Poma de Ayala in 1615,
William Burns Glynn found a pattern that seems to decipher some words from ''quipus'' by matching knots to colors of strings.
The August 12, 2005, edition of the journal ''
Science
Science is a systematic discipline that builds and organises knowledge in the form of testable hypotheses and predictions about the universe. Modern science is typically divided into twoor threemajor branches: the natural sciences, which stu ...
'' includes a report titled "Khipu Accounting in Ancient Peru" by anthropologist
Gary Urton
Gary Urton (born July 7, 1946) is an American anthropologist. He was the Dumbarton Oaks Professor of Pre-Columbian Studies at Harvard University and the chair of its anthropology department between 2012 and 2019. Urton retired from Harvard in 20 ...
and mathematician Carrie J. Brezine. Their work may represent the first identification of a ''quipu'' element for a non-numeric concept, a sequence of three figure-eight knots at the start of a ''quipu'' that seems to be a unique signifier. It could be a
toponym
Toponymy, toponymics, or toponomastics is the study of ''wikt:toponym, toponyms'' (proper names of places, also known as place names and geographic names), including their origins, meanings, usage, and types. ''Toponym'' is the general term for ...
for the city of
Puruchuco (near
Lima
Lima ( ; ), founded in 1535 as the Ciudad de los Reyes (, Spanish for "City of Biblical Magi, Kings"), is the capital and largest city of Peru. It is located in the valleys of the Chillón River, Chillón, Rímac River, Rímac and Lurín Rive ...
), or the name of the ''quipu'' keeper who made it, or its subject matter, or even a time designator.
Beynon-Davies considers ''quipus'' as a sign system and develops an interpretation of their physical structure in terms of the concept of a
data system.
''Khipu kamayuqkuna'' (knot makers/keepers, i.e., the former Inca record keepers) supplied colonial administrators with a variety and quantity of information pertaining to censuses, tribute, ritual and calendrical organization, genealogies, and other such matters from Inca times. Performing a number of statistical tests for ''quipu'' sample VA 42527, one study led by Alberto Sáez-Rodríguez discovered that the distribution and patterning of S- and Z-knots can organize the information system from a real star map of the
Pleiades
The Pleiades (), also known as Seven Sisters and Messier 45 (M45), is an Asterism (astronomy), asterism of an open cluster, open star cluster containing young Stellar classification#Class B, B-type stars in the northwest of the constellation Tau ...
cluster.
Laura Minelli, a professor of
pre-Columbian
In the history of the Americas, the pre-Columbian era, also known as the pre-contact era, or as the pre-Cabraline era specifically in Brazil, spans from the initial peopling of the Americas in the Upper Paleolithic to the onset of European col ...
studies at the
University of Bologna
The University of Bologna (, abbreviated Unibo) is a Public university, public research university in Bologna, Italy. Teaching began around 1088, with the university becoming organised as guilds of students () by the late 12th century. It is the ...
, has discovered something which she claims to be a seventeenth-century
Jesuit
The Society of Jesus (; abbreviation: S.J. or SJ), also known as the Jesuit Order or the Jesuits ( ; ), is a religious order (Catholic), religious order of clerics regular of pontifical right for men in the Catholic Church headquartered in Rom ...
manuscript that describes literary ''quipus'', titled . This manuscript consists of nine
folios with Spanish,
Latin
Latin ( or ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally spoken by the Latins (Italic tribe), Latins in Latium (now known as Lazio), the lower Tiber area aroun ...
, and ciphered Italian texts. Owned by the family of Neapolitan historian Clara Miccinelli, the manuscript also includes a wool ''quipu'' fragment. Miccinelli claims that the text was written by two Italian Jesuit missionaries, Joan Antonio Cumis and Giovanni Anello Oliva, around 1610–1638, and
Blas Valera, a
mestizo
( , ; fem. , literally 'mixed person') is a term primarily used to denote people of mixed European and Indigenous ancestry in the former Spanish Empire. In certain regions such as Latin America, it may also refer to people who are culturall ...
Jesuit sometime before 1618. Along with the details of reading literary ''quipus'', the documents also discuss the events and people of the Spanish conquest of
Peru
Peru, officially the Republic of Peru, is a country in western South America. It is bordered in the north by Ecuador and Colombia, in the east by Brazil, in the southeast by Bolivia, in the south by Chile, and in the south and west by the Pac ...
. According to Cumis, since so many ''quipus'' were burned by the Spanish, very few remained for him to analyze. As related in the manuscript, the word
Pacha Kamaq, the Inca deity of earth and time, was used many times in these ''quipus'', where the syllables were represented by symbols formed in the knots. Following the analysis of the use of "Pacha Kamaq", the manuscript offers a list of many words present in ''quipus''. However, both Bruce Mannheim, the director of the Center for Latin American Studies at the
University of Michigan
The University of Michigan (U-M, U of M, or Michigan) is a public university, public research university in Ann Arbor, Michigan, United States. Founded in 1817, it is the oldest institution of higher education in the state. The University of Mi ...
, and
Colgate University
Colgate University is a Private university, private college in Hamilton, New York, United States. The Liberal arts colleges in the United States, liberal arts college was founded in 1819 as the Baptist Education Society of the State of New York ...
's Gary Urton, question its origin and authenticity. These documents seem to be inspired freely by a 1751 writing of
Raimondo di Sangro, Prince of Sansevero.
History
Possible proto-''quipus''
Claims of the earliest ''quipu,'' or possible proto-''quipu,'' comes from the
Late Preceramic (c. 3000–1800 BCE) site of
Caral, though this claim has yet to be thoroughly evaluated. A more plausible candidate for the earliest known precursor to ''quipus'' may be the wrapped batons found at the site of Cerrillos from the Late Paracas Period (c. 350–200 BCE).
Wari Empire
The first undisputed evidence of ''quipu'' technology dates back to the
Middle Horizon (c. 600–1000 CE), with these early ''quipus'' being used by the
Wari Empire. Differing slightly from their Inca successors, extant Wari ''quipu'' specimens tend to be smaller, have brightly colored thread wrapped cords, and its own system of knots which scholars do not fully understand.
Inca Empire

''Quipucamayocs'' (Quechua ''khipu kamayuq'', "khipu-authority"), the accountants of
Tawantin Suyu, created and deciphered the ''quipu'' knots. ''Quipucamayocs'' could carry out basic
arithmetic
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction of roots, and taking logarithms.
...
operations, such as addition, subtraction, multiplication, and division. They kept track of
mita, a form of
taxation
A tax is a mandatory financial charge or levy imposed on an individual or legal person, legal entity by a governmental organization to support government spending and public expenditures collectively or to Pigouvian tax, regulate and reduce nega ...
. The ''quipucamayocs'' also tracked the type of
labor being performed, maintained a record of
economic output, and ran a
census
A census (from Latin ''censere'', 'to assess') is the procedure of systematically acquiring, recording, and calculating population information about the members of a given Statistical population, population, usually displayed in the form of stati ...
that counted everyone from infants to "old blind men over 80". The system was also used to keep track of the calendar. According to Guaman Poma, ''quipucamayocs'' could "read" the ''quipus'' with their eyes closed.
''Quipucamayocs'' were from a class of people, "males, fifty to sixty", and were not the only members of
Inca society to use ''quipus''. Inca
historians
A historian is a person who studies and writes about the past and is regarded as an authority on it. Historians are concerned with the continuous, methodical narrative and research of past events as relating to the human species; as well as the ...
used ''quipus'' when telling the Spanish about Tawantin Suyu history (whether they only recorded important numbers or actually contained the story itself is unknown). Members of the ruling class were usually taught to read ''quipus'' in the Inca equivalent of a university, the ''yachay wasi'' (literally, "house of teaching"), in the third year of schooling, for the higher classes who would eventually become the bureaucracy.
Spanish Empire
In 1532, the
Spanish Empire
The Spanish Empire, sometimes referred to as the Hispanic Monarchy (political entity), Hispanic Monarchy or the Catholic Monarchy, was a colonial empire that existed between 1492 and 1976. In conjunction with the Portuguese Empire, it ushered ...
's conquest of the Andean region began, with several Spanish conquerors making note of the existence of ''quipus'' in their written records about the invasion. The earliest known example comes from
Hernando Pizarro
Hernando Pizarro y de Vargas (; c. 1504 – c. 1578) was a Spanish conquistador and one of the Pizarro brothers who ruled over Peru. He was the only one of the Pizarro brothers who was not killed in Peru, and eventually returned to Spain.
Piza ...
, the brother of the Spanish military leader
Francisco Pizarro
Francisco Pizarro, Marquess of the Atabillos (; ; – 26 June 1541) was a Spanish ''conquistador'', best known for his expeditions that led to the Spanish conquest of the Inca Empire.
Born in Trujillo, Cáceres, Trujillo, Spain, to a poor fam ...
, who recorded an encounter that he and his men had in 1533 as they traveled along the royal road from the highlands to the central coast. It was during this journey that they encountered several ''quipu'' keepers, later relating that these keepers "untied some of the knots which they had in the deposits section
f the khipu and they
e-ied them in another section
f the khipu"
Christian officials of the
Third Council of Lima banned and ordered the burning of some q''uipus'' in 1583 because they were used to record offerings to non-Christian gods and were therefore considered idolatrous objects and an obstacle to religious conversion.
[Frank L. Salomon, 2004: The Cord Keepers: Khipus and Cultural Life in a Peruvian Village; Duke University Press; ]
Contemporary social importance
The ''quipu'' system operated as both a method of calculation and social organization, regulating regional governance and land use. While evidence for the latter is still under the critical eye of scholars around the world, the very fact that they are kept to this day without any confirmed level of fluent literacy in the system is testament to its historical 'moral authority.'
[Niles, Susan A. (2007). 93] Today, "khipu" is regarded as a powerful symbol of heritage, only 'unfurled' and handled by 'pairs of
ontemporarydignitaries,' as the system and its 'construction embed' modern 'cultural knowledge.'
Ceremonies in which they are 'curated, even though they can no longer be read,' is even further support for the case of societal honor and significance associated with the ''quipu''.
Even today, 'the knotted cords must be present and displayed when village officers leave or begin service, and draping the cords over the incoming office holders instantiates the moral and political authority of the past.'
These examples are indicative of how the ''quipu'' system was not only fundamental mathematically and linguistically for the original Inca, but also for cultural preservation of the original empire's descendants.
Anthropologists and
archaeologists
Archaeology or archeology is the study of human activity through the recovery and analysis of material culture. The archaeological record consists of Artifact (archaeology), artifacts, architecture, biofact (archaeology), biofacts or ecofacts, ...
carrying out research in
Peru
Peru, officially the Republic of Peru, is a country in western South America. It is bordered in the north by Ecuador and Colombia, in the east by Brazil, in the southeast by Bolivia, in the south by Chile, and in the south and west by the Pac ...
have highlighted two known cases where ''quipus'' have continued to be used by contemporary communities, albeit as ritual items seen as "communal patrimony" rather than as devices for recording information.
[ Peters and Salomon 2006/2007. p. 41.] The ''quipu'' system, being the useful method of social management it was for the Inca, is also a link to the Cuzco census, as it was one of the primary methods of population calculation.
[D'Altroy, Terence N. (2001). 234–235] This also has allowed historians and anthropologists to understand both the census and the "decimal hierarchy" system the Inca used, and that they were actually 'initiated together,' due to the fact that they were 'conceptually so closely linked.'
Tupicocha, Peru
In 1994, the American cultural anthropologist Frank Salomon conducted a study in the Peruvian village of Tupicocha, where ''quipus'' are still an important part of the social life of the village. As of 1994, this was the only known village where ''quipus'' with a structure similar to pre-Columbian ''quipus'' were still used for official local government record-keeping and functions, although the villagers did not associate their ''quipus'' with Inca artifacts.
San Cristóbal de Rapaz, Peru
The villagers of San Cristóbal de Rapaz (known as Rapacinos), located in the
Province of Oyón, keep a ''quipu'' in an old ceremonial building, the ''Kaha Wayi'', that is itself surrounded by a walled architectural complex. Also within the complex is a disused communal storehouse, known as the ''Pasa Qullqa'', which was formerly used to protect and redistribute the local crops, and some Rapacinos believe that the ''quipu'' was once a record of this process of collecting and redistributing food. The entire complex was important to the villagers, being "the seat of traditional control over land use, and the centre of communication with the deified mountains who control weather".
In 2004, the archaeologist Renata Peeters (of the
UCL Institute of Archaeology in London) and the cultural anthropologist Frank Salomon (of the
University of Wisconsin
A university () is an institution of tertiary education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase , which roughly means "community of teachers and scholars". Uni ...
) undertook a project to conserve both the ''quipus'' in Rapaz and the building that it was in, due to their increasingly poor condition.
Jucul, Peru
The remote village of Jucul, Peru, has kept ''quipus'' in the attic of its colonial church for centuries, only recently being discovered by outsiders in 2024. These ''quipus'' are closely related to those of San Cristóbal de Rapaz, which is near by.
Archaeological investigation
In 1912,
Leslie Leland Locke published "The Ancient Quipu, A Peruvian Knot Record," ''American Anthropologist,'' New Series I4 (1912) 325–332.
This was the first work to show how the
Inca (Inka) Empire and its predecessor societies used the ''quipu'' for mathematical and accounting records in the decimal system.
The archaeologist
Gary Urton
Gary Urton (born July 7, 1946) is an American anthropologist. He was the Dumbarton Oaks Professor of Pre-Columbian Studies at Harvard University and the chair of its anthropology department between 2012 and 2019. Urton retired from Harvard in 20 ...
noted in his 2003 book ''Signs of the Inka Khipu'' that he estimated "from my own studies and from the published works of other scholars that there are about 600 extant ''quipu'' in public and private collections around the world."
According to the Khipu Database Project
undertaken by
Harvard University
Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...
professor Gary Urton and his colleague Carrie Brezine, 751 ''quipus'' have been reported to exist across the globe. Their whereabouts range from
Europe
Europe is a continent located entirely in the Northern Hemisphere and mostly in the Eastern Hemisphere. It is bordered by the Arctic Ocean to the north, the Atlantic Ocean to the west, the Mediterranean Sea to the south, and Asia to the east ...
to
North
North is one of the four compass points or cardinal directions. It is the opposite of south and is perpendicular to east and west. ''North'' is a noun, adjective, or adverb indicating Direction (geometry), direction or geography.
Etymology
T ...
and
South America
South America is a continent entirely in the Western Hemisphere and mostly in the Southern Hemisphere, with a considerably smaller portion in the Northern Hemisphere. It can also be described as the southern Subregion#Americas, subregion o ...
. Most are housed in museums outside of their native countries, but some reside in their native locations under the care of the descendants of those who made the knot records. A table of the largest collections is shown below.
While patrimonial ''quipu'' collections have not been accounted for in this database, their numbers are likely to be unknown. One prominent patrimonial collection held by the Rapazians of Rapaz, Peru, was recently researched by
University of Wisconsin–Madison
The University of Wisconsin–Madison (University of Wisconsin, Wisconsin, UW, UW–Madison, or simply Madison) is a public land-grant research university in Madison, Wisconsin, United States. It was founded in 1848 when Wisconsin achieved st ...
professor, Frank Salomon.
Preservation
''Quipus'' are made of
fiber
Fiber (spelled fibre in British English; from ) is a natural or artificial substance that is significantly longer than it is wide. Fibers are often used in the manufacture of other materials. The strongest engineering materials often inco ...
s, either spun and plied thread such as
wool
Wool is the textile fiber obtained from sheep and other mammals, especially goats, rabbits, and camelids. The term may also refer to inorganic materials, such as mineral wool and glass wool, that have some properties similar to animal w ...
or
hair
Hair is a protein filament that grows from follicles found in the dermis. Hair is one of the defining characteristics of mammals.
The human body, apart from areas of glabrous skin, is covered in follicles which produce thick terminal and ...
from
alpaca
The alpaca (''Lama pacos'') is a species of South American camelid mammal. Traditionally, alpacas were kept in herds that grazed on the level heights of the Andes of Southern Peru, Western Bolivia, Ecuador, and Northern Chile. More recentl ...
,
llama
The llama (; or ) (''Lama glama'') is a domesticated South American camelid, widely used as a List of meat animals, meat and pack animal by Inca empire, Andean cultures since the pre-Columbian era.
Llamas are social animals and live with ...
,
guanaco or
vicuña
The vicuña (''Lama vicugna'') or vicuna (both , very rarely spelled ''vicugna'', Vicugna, its former genus name) is one of the two wild South American camelids, which live in the high alpine tundra, alpine areas of the Andes; the other cameli ...
, though are also commonly made of
cellulose
Cellulose is an organic compound with the chemical formula, formula , a polysaccharide consisting of a linear chain of several hundred to many thousands of glycosidic bond, β(1→4) linked glucose, D-glucose units. Cellulose is an important s ...
like
cotton
Cotton (), first recorded in ancient India, is a soft, fluffy staple fiber that grows in a boll, or protective case, around the seeds of the cotton plants of the genus '' Gossypium'' in the mallow family Malvaceae. The fiber is almost pure ...
. Archaeological evidence has also shown that, in some cases, finely carved wood was used as a supplemental base to which the color-coded cords could be attached. The
knot
A knot is an intentional complication in Rope, cordage which may be practical or decorative, or both. Practical knots are classified by function, including List of hitch knots, hitches, List of bend knots, bends, List of loop knots, loop knots, ...
ted strings of ''quipus'' were often made with an "elaborate system of knotted cords, dyed in various colors, the significance of which was known to the
magistrates".
Fading of
color
Color (or colour in English in the Commonwealth of Nations, Commonwealth English; American and British English spelling differences#-our, -or, see spelling differences) is the visual perception based on the electromagnetic spectrum. Though co ...
, natural or dyed, cannot be reversed, and may indicate further damage to the fibers. Colors can darken if damaged by dust or by certain
dyes
Juan de Guillebon, better known by his stage name DyE, is a French musician. He is known for the music video of the single "Fantasy (DyE song), Fantasy" from his first album ''Taki 183 (album), Taki 183''. This video became popular, attracting ...
and
mordants.
''Quipus'' have been found with adornments, such dried potatoes and beans, attached to the cords, and these non-textile materials may require additional preservation measures.
''Quipus'' are now preserved using techniques that aim to minimize their future degradation.
Museum
A museum is an institution dedicated to displaying or Preservation (library and archive), preserving culturally or scientifically significant objects. Many museums have exhibitions of these objects on public display, and some have private colle ...
s,
archive
An archive is an accumulation of historical records or materials, in any medium, or the physical facility in which they are located.
Archives contain primary source documents that have accumulated over the course of an individual or organ ...
s and special collections have adopted preservation guidelines from
textile
Textile is an Hyponymy and hypernymy, umbrella term that includes various Fiber, fiber-based materials, including fibers, yarns, Staple (textiles)#Filament fiber, filaments, Thread (yarn), threads, and different types of #Fabric, fabric. ...
practices.
Environmental controls are used to monitor and control
temperature
Temperature is a physical quantity that quantitatively expresses the attribute of hotness or coldness. Temperature is measurement, measured with a thermometer. It reflects the average kinetic energy of the vibrating and colliding atoms making ...
,
humidity
Humidity is the concentration of water vapor present in the air. Water vapor, the gaseous state of water, is generally invisible to the human eye. Humidity indicates the likelihood for precipitation (meteorology), precipitation, dew, or fog t ...
and
light
Light, visible light, or visible radiation is electromagnetic radiation that can be visual perception, perceived by the human eye. Visible light spans the visible spectrum and is usually defined as having wavelengths in the range of 400– ...
exposure of storage areas. As with all textiles, cool, clean, dry and dark environments are most suitable. The heating, ventilating and air conditioning, or
HVAC
Heating, ventilation, and air conditioning (HVAC ) is the use of various technologies to control the temperature, humidity, and purity of the air in an enclosed space. Its goal is to provide thermal comfort and acceptable indoor air quality. ...
systems, of buildings that house ''quipu'' knot records are usually automatically regulated. Relative humidity should be 60% or lower, with low temperatures, as high temperatures can damage the fibres and make them brittle. Damp conditions and high humidity can damage protein-rich material.
Textiles
Textile is an Hyponymy and hypernymy, umbrella term that includes various Fiber, fiber-based materials, including fibers, yarns, Staple (textiles)#Filament fiber, filaments, Thread (yarn), threads, and different types of #Fabric, fabric. ...
suffer damage from
ultraviolet
Ultraviolet radiation, also known as simply UV, is electromagnetic radiation of wavelengths of 10–400 nanometers, shorter than that of visible light, but longer than X-rays. UV radiation is present in sunlight and constitutes about 10% of ...
(UV) light, which can include fading and weakening of the fibrous material. When ''quipus'' are on display, their exposure to ambient conditions is usually minimized and closely monitored.
Despite best efforts, damage can occur during storage, or be from the result of earlier conservation efforts. The more accessible the items are during storage, the greater the chance of early detection.
Storing ''quipus'' horizontally on boards covered with a neutral
pH paper (paper that is neither
acid
An acid is a molecule or ion capable of either donating a proton (i.e. Hydron, hydrogen cation, H+), known as a Brønsted–Lowry acid–base theory, Brønsted–Lowry acid, or forming a covalent bond with an electron pair, known as a Lewis ...
or
alkaline
In chemistry, an alkali (; from the Arabic word , ) is a basic salt of an alkali metal or an alkaline earth metal. An alkali can also be defined as a base that dissolves in water. A solution of a soluble base has a pH greater than 7.0. The ...
) to prevent potential acid transfer is a preservation technique that extends the life of a collection. The fibers can be abraded by rubbing against each other or, for those attached to sticks or rods, by their own weight if held in an upright position. Extensive handling of ''quipus'' can also increase the risk of further damage.
''Quipus'' are also closely monitored for
mold
A mold () or mould () is one of the structures that certain fungus, fungi can form. The dust-like, colored appearance of molds is due to the formation of Spore#Fungi, spores containing Secondary metabolite#Fungal secondary metabolites, fungal ...
, as well as
insect
Insects (from Latin ') are Hexapoda, hexapod invertebrates of the class (biology), class Insecta. They are the largest group within the arthropod phylum. Insects have a chitinous exoskeleton, a three-part body (Insect morphology#Head, head, ...
s and their
larva
A larva (; : larvae ) is a distinct juvenile form many animals undergo before metamorphosis into their next life stage. Animals with indirect development such as insects, some arachnids, amphibians, or cnidarians typically have a larval phase ...
e. As with all textiles, these are major problems.
Fumigation may not be recommended for fiber textiles displaying mold or insect
infestations, although it is common practice for ridding
paper
Paper is a thin sheet material produced by mechanically or chemically processing cellulose fibres derived from wood, Textile, rags, poaceae, grasses, Feces#Other uses, herbivore dung, or other vegetable sources in water. Once the water is dra ...
of mold and insects.
Conservators in the field of
library science
Library and information science (LIS)Library and Information Sciences is the name used in the Dewey Decimal Classification for class 20 from the 18th edition (1971) to the 22nd edition (2003). are two interconnected disciplines that deal with info ...
have the skills to handle a variety of situations. Even though some ''quipus'' have hundreds of cords, each cord should be assessed and treated individually. ''Quipu'' cords can be "mechanically cleaned with brushes, small tools and light vacuuming".
Just as the application of
fungicides
Fungicides are pesticides used to kill parasitic fungi or their spores. Fungi can cause serious damage in agriculture, resulting in losses of yield and quality. Fungicides are used both in agriculture and to fight fungal infections in animals, ...
is not recommended to rid ''quipus'' of mold, neither is the use of
solvents
A solvent (from the Latin '' solvō'', "loosen, untie, solve") is a substance that dissolves a solute, resulting in a solution. A solvent is usually a liquid but can also be a solid, a gas, or a supercritical fluid. Water is a solvent for p ...
to clean them.
Even when people have tried to preserve ''quipus'', corrective care may still be required. If ''quipus'' are to be conserved close to their place of origin, local camelid or wool fibres in natural colors can be obtained and used to mend breaks and splits in the cords.
Rosa Choque Gonzales and Rosalia Choque Gonzales, conservators from southern Peru, worked to conserve the Rapaz patrimonial ''quipus'' in the Andean village of Rapaz, Peru. These ''quipus'' had undergone repair in the past, so this conservator team used new local camelid and wool fibers to spin around the area under repair in a similar fashion to the earlier repairs found on the ''quipu''.
When Gary Urton, professor of
Anthropology
Anthropology is the scientific study of humanity, concerned with human behavior, human biology, cultures, society, societies, and linguistics, in both the present and past, including archaic humans. Social anthropology studies patterns of behav ...
at Harvard, was asked "Are they
'quipus''fragile?", he answered, "some of them are, and you can't touch them – they would break or turn into dust. Many are quite well preserved, and you can actually study them without doing them any harm. Of course, any time you touch an ancient fabric like that, you're doing some damage, but these strings are generally quite durable."
Ruth Shady, a
Peru
Peru, officially the Republic of Peru, is a country in western South America. It is bordered in the north by Ecuador and Colombia, in the east by Brazil, in the southeast by Bolivia, in the south by Chile, and in the south and west by the Pac ...
vian
archeologist
Archaeology or archeology is the study of human activity through the recovery and analysis of material culture. The archaeological record consists of artifacts, architecture, biofacts or ecofacts, sites, and cultural landscapes. Archaeol ...
, has discovered a ''quipu'' or perhaps ''proto-quipu'' believed to be around 5,000 years old in the coastal city of
Caral. It was in quite good condition, with "brown cotton strings wound around thin sticks", along with "a series of offerings, including mysterious fiber balls of different sizes wrapped in 'nets' and pristine reed baskets. Piles of raw cotton – uncombed and containing seeds, though turned a dirty brown by the ages – and a ball of cotton thread" were also found preserved. The good condition of these articles can be attributed to the
arid
Aridity is the condition of geographical regions which make up approximately 43% of total global available land area, characterized by low annual precipitation, increased temperatures, and limited water availability.Perez-Aguilar, L. Y., Plata ...
climate of Caral.
[ ]
In popular culture
Film and television
* ''
Kamen Rider Amazon'' (1974): In Episode 6, Amazon and friends investigate and find a ''quipu'' which Amazon could decipher. But the Porcupine Beastman arrives and steals the ''quipu''. The Mole Beastman retrieves the ''quipu'' for Amazon who learns of the Incan science rested on the GiGi and GaGa Armlets.
* ''
Earth: Final Conflict'' (1999): A ''quipu'' and the
Nazca Lines play a role in the plot of Season 3, Episode 5.
*''
Da Vinci's Demons'' (2014): In Season 3, Episode 5, Leonardo and his associates are captured by an Inca patrol, who are given updated orders recorded on a ''quipu''.
* ''
Teekyu'' (2015): In Season 4, Marimo uses a ''quipu'' to subdue Tomarin in a comedic sequence.
* ''
Dora and the Lost City of Gold'' (2019):
Dora "reads" a stone ''quipu'' by touch to uncover a treasure's location.
* ''
See'' (2019-2022): Characters in the series, who are blind, use knotted strings for communication.
* ''
Futurama'' (2024): In Season 12, Episode 1,
Bender returns to his country of origin, Mexico,
[There is no known evidence which links ''quipu'' technology to Mexico. The ''quipu'' is historically associated with the ]Inca Empire
The Inca Empire, officially known as the Realm of the Four Parts (, ), was the largest empire in pre-Columbian America. The administrative, political, and military center of the empire was in the city of Cusco. The History of the Incas, Inca ...
and other Andean cultures. The depiction of a ''quipu'' in a Mexican context is an example of cultural conflation, where distinct pre-Columbian civilizations, such as the Maya
Maya may refer to:
Ethnic groups
* Maya peoples, of southern Mexico and northern Central America
** Maya civilization, the historical civilization of the Maya peoples
** Mayan languages, the languages of the Maya peoples
* Maya (East Africa), a p ...
, Aztec
The Aztecs ( ) were a Mesoamerican civilization that flourished in central Mexico in the Post-Classic stage, post-classic period from 1300 to 1521. The Aztec people included different Indigenous peoples of Mexico, ethnic groups of central ...
, and Inca
The Inca Empire, officially known as the Realm of the Four Parts (, ), was the largest empire in pre-Columbian America. The administrative, political, and military center of the empire was in the city of Cusco. The History of the Incas, Inca ...
, are mistakenly blended together in popular media. where he receives a ''quipu'' from his grandmother.
* ''
Paddington in Peru'' (2024): A message is recorded in a ''quipu'' to provide directions to
El Dorado.
Literature
* ''
The Wine-Dark Sea'' by
Patrick O’Brian: A ''quipu'' conveys an important message in Chapter 9.
* ''
The Rise and Fall of D.O.D.O.'' by
Neal Stephenson
Neal Town Stephenson (born October 31, 1959) is an American writer known for his works of speculative fiction. His novels have been categorized as science fiction, historical fiction, cyberpunk, and baroque.
Stephenson's work explores mathemati ...
and
Nicole Galland: ''Quipus'' are used by witches for navigating time travel algorithms.
* ''
This Is How You Lose the Time War'' by
Amal El-Mohtar and
Max Gladstone: A letter from "Blue" is hidden in pre-Columbian Peru as a "knot code."
* ''
Ammonite
Ammonoids are extinct, (typically) coiled-shelled cephalopods comprising the subclass Ammonoidea. They are more closely related to living octopuses, squid, and cuttlefish (which comprise the clade Coleoidea) than they are to nautiluses (family N ...
'' by
Nicola Griffith: Knotted message cords, read by touch, facilitate communication across distances.
* ''Catalina'' by
Karla Cornejo Villavicencio: Researchers work to decode Andean ''quipus'' in a subplot.
Games
* ''
Death Stranding'': The character Amelie wears a ''quipu'' necklace, and a device inspired by the ''quipu''—the Q-Pid—is featured.
* ''
Magic: The Gathering'': The expansion set ''The Lost Caverns of Ixalan'' includes a card named "Braided Quipu," transforming from "Braided Net."
References
Footnotes
Bibliography
*
*
*
*
*
*
*
*
*
Web access*
*
*
*
*Saez-Rodríguez, A. (2012). An Ethnomathematics Exercise for Analyzing a Khipu Sample from Pachacamac (Perú). Revista Latinoamericana de Etnomatemática. 5(1), 62–88.
*
*
*
*
*
*
*
*Urton, Gary. 2017. ''Inka history in knots''. Austin, TX: University of Texas Press.
*
*
*
External links
''Quipu'' database projects
The Open Khipu Repository(formerly known as th
Harvard Khipu Database ProjectThe Khipu Field Guide(''quipu'' schematics and investigations from a large ''quipu'' database)
Code of the Quipu: Databooks(contains the descriptions and data for the more than 200 ''quipus'' studied
Marcia Ascher and Robert Ascher)
Virtual ''quipu'' exhibitions
*
Standardizing an Empire' (2023 exhibition by the
National Institute of Standards and Technology
The National Institute of Standards and Technology (NIST) is an agency of the United States Department of Commerce whose mission is to promote American innovation and industrial competitiveness. NIST's activities are organized into Outline of p ...
Museum in collaboration with
Dumbarton Oaks)
''The Khipu Keepers: Explore the undeciphered writing of the Incas''(2020 exhibition by the
Google Arts & Culture in collaboration with the
Lima Art Museum)
''Written in Knots: Undeciphered Accounts of Andean Life''(2019 exhibition by the
Dumbarton Oaks)
''Quipu: Counting with knots in the Inka Empire''(2003 exhibition by the
Museo Chileno de Arte Precolombino
The Chilean Museum of Pre-Columbian Art () is an art museum dedicated to the study and display of pre-Columbian artworks and artefact (archaeology), artifacts from Central America, Central and South America.
The museum is located in the city centr ...
)
Media coverage
*
*
* – MSNBC
{{Authority control
Archaeological artefact types
Inca mathematics
Knots
Mathematical notation
Numerals
Proto-writing
Recording
Textile arts of the Andes
pl:Pismo węzełkowe