Sator Square

The words are in Latin, and the following translations are known by scholars:[2][6]

SATOR

(nominative noun; from serere, 'to sow') sower, planter, founder, progenitor (usually divine); originator; literally 'seeder'.[2][6]

AREPO

unknown word, potentially a proper name, either invented to complete the palindrome or of a non-Latin origin (see § Arepo interpretations).[2][6]

TENET

(verb; from tenere, 'to hold') he/she/it holds, keeps, comprehends, possesses, masters, preserves, sustains.[2][6]

OPERA

(ablative [see opera] singular noun) service, pains, labor; care, effort, attention.[2][6]

ROTAS

(rotās, accusative plural of rota) wheels. [2][6]

Sator form of the square on a door in Grenoble, France

The most direct sentence translation is: "The sower (or, farmer) Arepo holds the wheels with care (or, with care the wheels)".[1][10][14][4][17] Similar translations include: "The farmer Arepo works his wheels",[18] or "Arepo the sower (sator) guides (tenet) the wheel (rotas) with skill (opera)".[19]

Some academics, such as French historian Jules Quicherat,[10] believe the square should be read in a boustrophedon style (i.e. in alternating directions).[20] The boustrophedon style, which in Greek means "as the Ox plows", emphasizes the agricultural aspect of the square.[1] Such a reading when applied to the SATOR-form square, and repeating the central word TENET, gives SATOR OPERA TENET – TENET OPERA SATOR, which has been very loosely interpreted as: "as ye sow, so shall ye reap",[10] while some believe the square should be read as just three words – SATOR OPERA TENET, which they loosely translate as: "The Creator (the author of all things) maintains his works"; both of which could imply Graeco-Roman Stoic and/or Pythagorean origins.[1][5]

British academic Duncan Fishwick observes that the translation from the boustrophedon approach fails when applied to a ROTAS-form square,[10] however, Belgian scholar Paul Grosjean reversed the boustrophedon rule on the ROTAS-form (i.e. starting on the right-hand side instead of the left) to get SAT ORARE POTEN, which loosely translates into the Jewish call to prayer, "are you able to pray enough?".[1][10]

The word AREPO is a hapax legomenon (i.e. it appears nowhere else in Latin literature). Some academics believe it is likely a proper name or potentially a theophoric name, that was adapted from a non-Latin word or was invented specifically for the Sator square.[10] French historian Jerome Carcopino interpreted AREPO as the Greek ἅπαξ, and believed that it came from the Gaulish word for a 'plough'; this has been discounted by other academics.[lower-alpha 3][10] American ancient legal historian David Daube believed that AREPO represented a Hebrew or Aramaic rendition of the ancient Greek for alpha (Ἄλφα) and omega (ω), giving the "Alpha-Omega" concept (cf. Isiah 44.6, and Revelation 1:8) from early Judeo-Christianity.[1] J. Gwyn Griffiths contended that the term AREPO came, via Alexandria, from the attested Egyptian name "Hr-Hp" (ḥr ḥp), which he took to mean "the face of Apis".[1][21] In 1983, Serbian-American scholar Miroslav Marcovich proposed the term AREPO as a Latinized abbreviation of Harpocrates (or "Horus-the-child"), god of the rising sun, also called Γεωργός `Aρπον, which Marcovich suggests corresponds to SATOR AREPO. This would translate the square as: "The sower Horus/Harpocrates keeps in check toils and tortures".[1][22][5]

Duncan Fishwick, amongst other academics, believed that AREPO was simply a residual word that was required to complete what is a complex and sophisticated palindrome (which Fishwick believed was embedded with hidden Jewish symbolism, per the "Jewish Symbol" origin theory below), and to expect more from the word was unreasonable from its likely Jewish creators.[2]

Attempts have been made to discover "hidden meanings" by the anagrammatic method of rearranging the letters of which the square is composed.[1]

• In 1883, German historian Gustav Fritsch reformed the letters to discover an invocation to Satan:[1][10]

  SATAN, ORO TE, PRO ARTE A TE SPERO

  SATAN, TER ORO TE, OPERA PRAESTO

  SATAN, TER ORO TE, REPARATO OPES

• French historian Guillaume de Jerphanion catalogued examples that were known formulas for an exorcism such as:[10]

  RETRO SATANA, TOTO OPERE ASPER, and the prayers

  ORO TE PATER, ORO TE PATER, SANAS

  O PATER, ORES PRO AETATE NOSTRA

  ORA, OPERARE, OSTENTA TE PASTOR

• In 1887, Polish ethnographer Oskar Kolberg amended the strict anagrammatic approach by using abbreviations and thus deduced from the 25 letters of the Sator Square the 36 letters of the monastic rule: SAT ORARE POTEN (TER) ET OPERA(RE) R(ATI)O T(U)A S(IT),[10] which he considered an ancient rule of the Benedictines; French historian Gaston Letonnelier made a similar approach in 1952 to get the Christian prayer: SAT ORARE POTEN(TIA) ET OPER(A) A ROTA S(ERVANT), which translates as: "Prayer is our strength and will save us from the wheel (of fate?)".[1]
• In 1935, German art historian Kuno von Hardenberg believed he discovered the relief the Rose of Sharon gave to Saint Peter for the sin of his denial of Christ, with the anagram PETRO ET REO PATET ROSA SARONA, which translates as "For Peter even guilty the rose of Sharon is open"; academics refuted his interpretation.[1][10]
• In 2003, American historian Rose Mary Sheldon listed some of the many diverse sentences that can be produced from anagrams of the square including her favorite: APATOR NERO EST, which would translate as saying that the Roman emperor Nero was the result of a virgin birth.[1]

Irrespective of the theory of its origin, the evidence that the Sator square, particularly in its SATOR-form, became adopted into Christian imagery is not disputed by academics.[1][2] Academics note the repeated association of Christ with the "sower" (or SATOR),[1] and the words of the Sator square have been discovered in Christian settings even in very early medieval times, including:

• Jesuit historian Jean Daniélou claimed that the third century Bishop Irenaeus of Lyons (c. A.D 200) knew of the square and had written of "Him who joined the beginning with the end, and is the Lord of both, and has shown forth the plough at the end".[1] Some academics link Irenaeus with creating the association of the five words in the square to the five nails of the cross.[10]
• The Berlin State Museum houses a sixth-century bronze amulet from Asia Minor that has two fish turned toward one another on one side, and a Sator square in Greek characters in a checkerboard pattern on the other side. Written above the square is the word "ICHTHUS", which directly translates as a term for Christ; it is the earliest known Christian annotated Sator Square.[lower-alpha 2][1]
• An illustration in an early Byzantine bible gives the baptismal names of the three Magi as being: ATOR, SATOR, and PERATORAS.[1][10]
• In Cappadocia, in the time of Constantine VII Porphyrogenitus (913–959), the shepherds of the Nativity of Jesus are named: SATOR, AREPON, and TENETON.[1][10]

The Sator square appears in diverse Christian communities, such as in Abyssinia where in the Ethiopian Book of the Dead, the individual nails in Christ's cross were called: Sador, Alador, Danet, Adera, Rodas.[1] These are likely derived from even earlier Coptic Christian works that also ascribe the wounds of Christ and the nails of the cross with names that resemble the five words from the square.[1]

While there is little doubt amongst academics that Christians adopted the square, it was not clear that they had originated the symbol.[1][14]

Lord's Prayer anagram from the 25 letters of the square, including the Alpha and Omega positioning of the residual As and Os.[2][24] There is an alternative layout proposed with the As and Os positioned at the extreme ends of the Paternoster cross,[5][25] and a Jewish option with the letters laid out in an X-shape (i.e. tau).[2]

During 1924–1926, three people separately discovered,[lower-alpha 4] or rediscovered, that the square could be used to write the name of the Lord's Prayer, the "Paternoster", twice and intersecting in a cross-form (see image opposite). The remaining residual letters (two As and two Os) could be placed in the four quadrants of the cross and would represent the Alpha and Omega that are established in Christian symbolism.[2][18] The positioning of the As and Os was further supported by the fact that the position of the Ts in the Sator square formed the points of a cross – there are obscure references in the Epistle of Barnabas to T being a symbol of the cross – and that the As and Os also lay in the four quadrants of this cross.[10] At the time of this discovery, the earliest known Sator square was from the fourth century,[lower-alpha 2][1] further supporting the dating of the Christian symbolism inherent in the Paternoster theory.[2] Academics considered the Christian origins of the square to be largely resolved.[1][14][2][6][15]

With the subsequent discovery of Sator squares at Pompeii, dating pre-79 A.D,[lower-alpha 1] the Paternoster theory began to lose support, even amongst notable supporters such as French historian Guillaume de Jerphanion.[10][15] Jerphanion noted: that (1) it was improbable that many Christians were present at Pompeii, that (2) first century-Christians would have written the square in Greek and not Latin, that (3) the Christian concepts of Alpha and Omega only appear after the first century, that (4) the symbol of the cross only appears from about A.D 130–131, and that (5) cryptic Christian symbols only appeared during the persecutions of the third century.[1][10][15]

Jérôme Carcopino claimed the Pompeii squares were added at a later date by looters. The lack of any disturbance to the volcanic deposits at the palestra, however, meant that this was unlikely,[10][14][15] and the Paternoster theory as a proof of Christian origination lost much of its academic support.[1][10][6][15][24]

Regardless of its Christian origins, many academics considered the Paternoster discovery as being a random occurrence to be mathematically impossible.[13] Several examined this mathematical probability including German historian Friedrich Focke and British historian Hugh Last, but without reaching a conclusion.[1] A 1987 computer analysis by William Baines derived a number of "pseudo-Christian formulae" from the square but Baines concluded it proved nothing.[6]

There is considerable contemporary academic support for the theory that the square originated as a Roman-era word puzzle.[1][6][23] Italian historian Arsenio Frugoni found it written in the margin of the Carme delle scolte modenesi beside the Roma-Amor palindrome,[1] and Italian classist Margherita Guarducci noted it was similar to the ROMA OLIM MILO AMOR two-dimensional acrostic word puzzle that was also found at Pompeii (see Wiktionary for details on the Pompejan graffito), and at Ostia and Bolonia.[1] Similarly, another ROTAS-form square scratched into a Roman-era wall in the basement of the Basilica di Santa Maria Maggiore, was found alongside the Roma-Amor, and the Roma-Summus-Amor, palindromes.[26] Duncan Fishwick noted the "composition of palindromes was, in fact, a pastime of Roman landed gentry".[10] American classical epigraphist Rebecca Benefiel, noted that by 2012, Pompeii had yielded over 13,000 separate inscriptions and that the house of Publius Paquius Proculus (where a square was found) had over 70 pieces of graffiti alone.[4]

A 1969 computer study by Charles Douglas Gunn started with a Roma-Amor square and found 2,264 better versions, of which he considered the Sator square to be the best.[1] The square's origin as a word puzzle solved the problem of AREPO (a word that appears nowhere else in classical writing), as being a necessary component to complete the palindrome.[23]

Fishwick still considered this interpretation as unproven and clarified that the apparent discovery of the Roma-Amor palindrome written beside the 1954 discovery of a square on a tile at Aquincum, was incorrectly translated (if anything it supported the square as a charm).[10] Fishwick, and others, consider the key failing of the Roman puzzle theory of origin is the lack of any explanation as to why the square would later become so strongly associated with Christianity, and with being a medieval charm.[10][23][15] Some argue that this can be bridged if considered as a Pythagorean-Stoic puzzle creation.[1][5]

In 2018, Megan O'Donnell argued that the square is less of a pure word puzzle but more a piece of Latin Roman graffito that should be read figuratively as a wheel (i.e. the ROTAS), and that the textual-visual interplay had parallels with other forms of graffito found in Pompeii, some of which later became adopted as charms.[23]

The central cross created by the vertical and horizontal TENET words, has both Christian and Jewish symbolism (e.g. the "tau cross", or the Hebrew tau "+" symbol).[2][5] It also parallels the Roman system of Cardo and Decumanus, being central road crosses through towns.[5]

Some prominent academics, including British-Canadian ancient Roman scholar Duncan Fishwick,[2] American ancient legal historian David Daube,[1] and British ancient historian Mary Beard,[27] consider the square as being likely of Jewish origin.[1]

Fishwick notes that the failings of the Paternoster theory (above) are resolved when looked at from a Jewish perspective.[2] Large numbers of Latin-speaking Jews had been settled in Pompeii, and their affinity for cryptic and mystical word symbols was well known.[2][10] The Alpha and Omega concept appears much earlier in Judaism (Ex. 3.14; Is. 41.4, and 44.6), and the letters "aleph" and "tau" are used in the Talmud as symbols of totality.[2][10] The Ts of TENET may be explained not as Christian crosses, but as a Latin form of the Jewish "tau" salvation symbol (from Ezekiel), and its archaic form (+ or X) appears regularly on ossuaries of both Hellenistic and early Roman times.[2][10] Fishwick highlights the central position of the letter N, as Jews attached significance to the utterance of the "Name" (or nomen).[2][10]

In addition, Fishwick believes a Jewish origin provides a satisfactory explanation for the Paternoster cross (or X) as the configuration is an archaic Jewish "tau" (+ or X).[2][10] The Paternoster word is not unique to Christianity, and also has roots in Judaism where several prayers refer to "Our Father".[2][10] Fishwick concludes that the translations of the words ROTAS OPERA TENET AREPO SATOR are irrelevant, except to the extent that they make some sense and thereby hide a Jewish cryptic charm, and to require them to mean more is "to expect the impossible".[2][10] The motivation for the creation square might have been the Jewish pogroms of A.D 19 or A.D 49, however, it fell into disuse only to be revived later by Christians facing their own persecution, and who appreciated its hidden Paternoster and Alpha and Omega symbolism, but who focused on the SATOR-form (which gave an emphasis on the "sower", which was associated with Christ).[2]

Research in 2006 by French classical scholar Nicolas Vinel drew on recent discoveries on the mathematics of ancient magic squares to propose that the square was a "Jewish cryptogram using Pythagorean arithmetic".[25] Vinel decoded several Jewish concepts in the square, including the reason for AREPO, and was able to explain the word SAUTRAN that appears beside the square that was discovered on the palestra column in Pompeii.[25] Vinel addressed a criticism of the Jewish origin theory – why would the Jews have then abandoned the symbol? – by noting the Greek texts that they also abandoned (e.g. the Septuagint) in favor of Hebrew versions.[25]

The amount of academic research published on the Rotas-Sator square is regarded as being considerable (and even described as "immense");[4] American academic Rose Mary Sheldon attempted to catalog and review the most prominent works in a 2003 paper published in Cryptologia.[1] Amongst the more diverse but less supported theories Sheldon recorded were:

• Several German academics have written on the links of the square to Pythagoreanism and Stoicism, including philologist Hildebrecht Hommel, historian Wolfgang Christian Schneider, and Heinz Hoffman, amongst others.[1][2] Schneider believed the square was an important link between Etruscan religion and Stoic academic philosophy. Hommel believed that in the Stoic tradition, the Ephesian word AREPO would be discarded, and the square would be read in the boustrophedon style as SATOR OPERA TENET, TENET OPERA SATOR, translating as "The Creator preserves his works".[1][5] German scholar Ulrich Ernst writing the Sator square's entry in The Encyclopedia of Christianity found this theory persuasive,[5] but Miroslav Marcovich refuted the translation.[22]
• Several academics link the square to Gnostic origins, such as Jean Doignon, Gustav Maresch, Adolfo Omodeo, and Hildebrecht Hommel. English egyptogolist J. Gwyn Griffiths explains AREPO as a personal name derived from the Egyptian name "Hr-Hp", and sources the square to an Alexandrine origin where a gnostic tradition employed acrostics.[1][5]
• Some academics link the square to Orphic cults, including Serbian historian Milan Budimir who linked the Greek form of AREPO to the name Orpheus.[1][2]
• Italian academic Adolfo Omodeo linked the square to Mithraic origins as the Roman-era discoveries were in military locations with whom it was popular, while academic historian Walter O. Moeller attempted to derive a Mithraic relationship using perceived mathematical patterns in the square, but his arguments were not considered convincing by other academics.[1][2][28][29]
• Norwegian philologist Samson Eitrem took the last half of the square starting at N to get: "net opera rotans", which translates as "She spins her works", interpreting it to be a feminine being (i.e. Hecate), a demon, or even the square itself rotating on its TENET spokes, thus giving a peasant Italian pagan origin with the square as a wind indicator.[1][2]
• Some academics such as Swiss archeologist Waldemar Deonna have proposed that it is a numerical number square, which would also imply a Semitic origin.[1] A significant issue is that the square is in Latin, and Romans did not have the ciphered number system of the Greeks or the Semites. However, if the letters are transliterated to Greek, and then assigned ciphered numbers, the word TENET can be rendered as 666, the number of the beast.[1] Walter O. Moeller analyzed the resultant numerical combinations to assert that the square was made by Mithraic numerologists.[1][28]
• In 1925, Zatzman interpreted the square as a Hebraic or Aramaic apotropaic formula against the devil, and translated the square to read: "Satan Adama Tabat Amada Natas".[1]
• In 1958, French historian Paul-Louis Couchoud proposed a novel interpretation as the square being a device for working out wind directions.[1]

• The oldest Sator square was found in November 1936, in ROTAS-form, etched into column number LXI at the Palestra Grande near the amphitheatre of Pompeii (CIL IV 8623). Graffiti associated with the particular columns pre-dates the AD 62 Pompeii earthquake,[lower-alpha 1][14][15] making it the oldest known square. It also has additional graffiti just below it, with the words SAUTRAN and VALE (CIL IV 8622a-b).[1][10]
• Another Sator square was also found in October 1925, in ROTAS-form, etched onto the wall in a bathroom of the house of Publius Paquius Proculus (Reg I, Ins 7, 1), also at Pompeii (CIL IV 8123). The style of the house, which is associated with Nero's reign, dated the square to between A.D 50 and A.D 79 (the destruction of the city).[1][10][15]
• A Sator square was found in 1954, in ROTAS-form, etched onto a roof tile of the second-century Roman Imperial governor's house for Pannonia Inferior at Aquincum, near Budapest, Hungary. There has been debate over whether a second partial inscription found beside the square is part of the Roma-Amor palindrome (thus affirming the Roman puzzle origin theory), but it seems unlikely.[10][15]

Roman second-century ROTAS-form squares

Cirencester, England

Manchester, England

Conímbriga Portugal

• A Sator square was found in 1978, in ROTAS-form, etched on a fragment of Roman pottery at a Roman site at Manchester that was dated circa. A.D 185.[14]
• Four Sator squares were found in 1931–32, all in ROTAS-form, etched on the walls of military buildings, at Dura-Europos in Syria, dated circa. A.D 200.[1][10][14][15]
• A Sator square was found in 1868, in ROTAS-form, scratched onto a plaster wall in the Roman Britain settlement of Corinium Dobunnorum at Cirencester.[14][15]
• A Sator square was found in 1971, in ROTAS-form, etched onto an unfired brick at the Roman city of Conímbriga in Portugal that was dated from the second century.[15]
• A Sator square was found in 1966–71, in ROTAS-form, scratched into a Roman-era wall during excavations of the Basilica di Santa Maria Maggiore in Rome (along with the Roma-Amor, and the Rome Summus Amor palindromes).[26]

Examples of Coptic Sator square amulets, Papyrus Museum, Vienna

• The earliest Sator square post-Roman times was the 1899 discovery of a ROTAS-form square inscribed on a Coptic papyrus by German historians Adolph Erman and Fritz Krebs in the Egyptian papyrus collections of the Berlin State Museums (then the Koniglischen Museen); it has no other explicit Christian imagery.[1][13]
• The earliest Sator square with explicit additional Christian imagery is a sixth-century bronze amulet from Asia Minor that has two fish turned toward one another on one side, and a Sator square in Greek characters in a checkerboard pattern on the other side. Written above the square is the word "ICHTHUS", which directly translates as a term for Christ. It is also in the Berlin State Museums.[lower-alpha 2][1]
• One of the earliest examples of a Sator square in a Christian church is the SATOR-form marble square on the facade of the circa. A.D 752 Benedictine Abbey of St Peter ad Oratorium, near Capestrano, in Italy.[1]
• The earliest example from France is a SATOR-form square found in a Carolingian Bible from A.D 822 at the monastery of Saint-Germain-des-Prés.[1][10] There are ninth to tenth-century examples in Codex 384 from Monte Cassino, and a square was found written into the margin of a work titled Versus de cavenda Venere et vino found, which is part of Codex 1.4 of the Capitolare di Modena.[1]
• One of the earliest examples of the square being applied to medical beliefs is from the twelfth-century Latin medical textbooks, the Trotula, where the translated text advises: "[98] Or let these names be written on cheese and butter: + sa. e. op. ab. z. po. c. zy. e pe. pa. pu c. ac. sator arepo tenet os pera rotas and let them be given to eat".[31] In a similar vein, there is a thirteenth-century parchment from Aurillac that offers a Sator square chant for women in childbirth.[10]

Samson and the Lion. A twelfth-century mosaic with the words of the square in a circle, Collegiate church of Saint Ursus, Aosta, Italy

• Twelfth-century French examples are found on the wall of the Eglise Saint Laurent at Château de Rochemaure, and in the keep of Château de Loches.[1][10]
• A Sator square in SATOR-form was found on a block set into the doorway facade of a fortified wall in the largely abandoned medieval fortress town of Oppède-le-Vieux, in France's Luberon; the old town itself dates from the twelfth or thirteenth-century and was abandoned by the seventeenth-century.[7]
• Many medieval Italian towns and churches have squares. The twelfth-century church of San Giovanni Decolatto in Pieve Terzagni in Cremona has fragments of a floor mosaic that included a square.[1] Valvisciolo Abbey has letters forming five concentric rings, each one divided into five sectors. One appears on the exterior wall of the Duomo in Siena. Inside the church of Acquaviva Collecroce is a stone with the square in a ROTAS-form. Others include the church of the Pieve of San Giovanni, the Collegiate church of Saint Ursus, the Cathedral of Ascoli Satriano, and the Church of San Lorenzo in Paggese in Marche.[7]
• The square is also found in diverse locations all over later medieval France, including fifteenth-century examples at the Château de Chinon, the Château de Jarnac, as well as in the courthouse in Valbonnais.[10]
• There is a Sator square in SATOR-form in the medieval Rivington Church in Lancashire, England.[34]
• The phrase sappears on the rune stone Nä Fv1979;234 from Närke, Sweden, dated to the 14th century. It reads "sator arepo tenet" (untranscribed: "sator ¶ ar(æ)po ¶ tænæt).[35] It also occurs in two inscriptions from Gotland (G 145 M and G 149 M), which contain the whole palindrome.[35]

• Lady Jane Francesa Wilde's anthology of Irish folklore, Ancient Legends Mystic Charms & Superstitions of Ireland (1888), includes the tale of a young girl who is enchanted by a poet using the spell of a Sator square written on a piece of paper in blood.[36]
• The Sator square, with some letters changed, features in eighteenth-century books on Pow-wow folk medicine of the Pennsylvania Dutch, such as The Long Lost Friend (see image earlier).