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An ambigram is a composition of (letters, numbers, symbols or other shapes) that can yield different meanings depending on the orientation of observation. Most ambigrams are visual that rely on some kind of , and they can often be interpreted as . The term was coined by Douglas Hofstadter in 1983–1984.

Most often, ambigrams appear as visually symmetrical words. When flipped, they remain unchanged, or they mutate to reveal another . "Half-turn" ambigrams undergo a (180-degree rotational symmetry) and can be read upside down (for example, the word "swims"), while mirror ambigrams have and can be read through a surface like a . Many other types of ambigrams exist.

Ambigrams can be constructed in various and , and the notion often extends to and other . It is a recent interdisciplinary concept, combining , , , , and optical illusions. Drawing symmetrical words constitutes also a recreational activity for . Numerous ambigram are famous, and ambigram have become increasingly popular. There are methods to design an ambigram, a field in which some have become specialists.


Etymology
The word ambigram was coined in 1983 by Douglas Hofstadter, an American scholar of cognitive science best known as the -winning author of the book Gödel, Escher, Bach. It is a composed of the Latin prefix ("both") and the Greek suffix ("drawing, writing").

Hofstadter describes ambigrams as "calligraphic designs that manage to squeeze in two different readings." "The essence is imbuing a single with ".

(2025). 9780786723867, Basic Books. .

Hofstadter attributes the origin of the word ambigram to conversations among a small group of friends in 1983..

Prior to Hofstadter's , other names were used to refer to ambigrams. Among them, the expressions "vertical " by (1965) and , "designatures" (1979),OMNI magazine, September 1979, page 143, work of Scott Kim "inversions" (1980) by ,.. or simply "upside-down words" by John Langdon and Robert Petrick..

Ambigram was added to the Oxford English Dictionary in March 2011, and to the dictionary in September 2020... included the word in its database in November 2022.


History
Many ambigrams can be described as .

The first palindrome was found in the ruins of , meaning it was created before the Eruption of Mount Vesuvius in 79 AD. A sator square using the for the representation of the letters S and N was carved in a stone wall in Oppède (France) between the and the , thus producing a work made up of 25 letters and 8 different characters, 3 naturally symmetrical (A, T, O), 3 others decipherable from left to right (R, P, E), and 2 others from right to left (S, N). This engraving is therefore readable in four directions..

Although the term is recent, the existence of ambigrams has been attested since at least the . They are generally to be visually .

In , the phrase "ΝΙΨΟΝ ΑΝΟΜΗΜΑΤΑ ΜΗ ΜΟΝΑΝ ΟΨΙΝ" ( wash the sins, not only the face), is a found in several locations, including the site of the church in Turkey.R. Langford-James, A Dictionary of the Eastern Orthodox Church, Ayer Publishing, , p. 61.Barry J. Blake, Secret Language: Codes, Tricks, Spies, Thieves, and Symbols, Oxford University Press, 2010, , p. 15. It is sometimes turned into a mirror ambigram when written in capital letters with the removal of spaces, and the stylization of the letter Ν (Ν).

A is a type of bi-directional text, mostly seen in ancient manuscripts and other inscriptions. Every other line of writing is flipped or reversed, with reversed letters. Rather than going left-to-right as in modern European languages, or right-to-left as in and , alternate lines in boustrophedon must be read in opposite directions. Also, the individual characters are reversed, or mirrored. This two-way writing system reveals that modern ambigrams can have quite ancient origins, with an intuitive component in some minds.

Mirror writing in Islamic calligraphy flourished during the early modern period, but its origins may stretch as far back as pre-Islamic mirror-image rock inscriptions in the .

The earliest known non-natural ambigram dates to 1893 by artist . Although better known for his children's books and illustrations for and , he published two books of reversible illustrations, in which the picture turns into a different image entirely when flipped . The last page in his book Topsys & Turvys contains the phrase The end, which, when inverted, reads Puzzle. In Topsys & Turvys Number 2 (1902), Newell ended with a variation on the ambigram in which The end changes into Puzzle 2..

In March 1904 the Dutch-American artist used ambigrams in three consecutive strips of The UpsideDowns of old man Muffaroo and little lady Lovekins.

(2025). 9780976888574, Sunday Press.
His comics were , made in such a way that one could read the six-panel comic, flip the book and keep reading.

From June to September 1908, the British monthly The Strand Magazine published a series of ambigrams by different people in its "Curiosities" column. Of particular interest is the fact that all four of the people submitting ambigrams believed them to be a rare property of particular words. Mitchell T. Lavin, whose "chump" was published in June, wrote, "I think it is in the only word in the English language which has this peculiarity," while Clarence Williams wrote, about his "Bet" ambigram, "Possibly B is the only letter of the alphabet that will produce such an interesting anomaly."


Characteristics

Natural ambigrams
In the , many letters are symmetrical . The B, C, D, E, H, I, K, O, and X have a horizontal symmetry axis. This means that all words that can be written using only these letters are natural lake reflection ambigrams; examples include BOOK, CHOICE, or DECIDE.

The letters o, s, x, and z are rotationally symmetric, while pairs such as b/q, d/p, n/u, and in some a/e, h/y and m/w, are rotations of each other. Among the lowercase letters "l" is unique since its symmetry is broken if it is close to a reference character which establishes a clear . When rotated around the middle of the x-height l/ȷ or lo/oȷ it doesn't appear the same, but it does when rotated around its center like the uppercase-I. Thus, the words "sos", "pod", "suns", "yeah", "swims", "passed", or "dollop", form natural rotational ambigrams.

More generally, a "natural ambigram" is a word that possesses one or more when written in its natural state, requiring no styling. The words "bud", "bid", or "mom", form natural mirror ambigrams when reflected over a , as does "", the name of the country in . The words "HIM", "TOY, "TOOTH" or "MAXIMUM", in all capitals, form natural mirror ambigrams when their letters are stacked vertically and reflected over a vertical axis. The word "" can flip a quarter to produce a 90° rotational ambigram when written in style (with large "feet" above and below the "I").

Like all strobogrammatic numbers, 69 is a natural rotational ambigram.

Patterns in nature are regularities found in the natural world. Similarly, in ambigrams are regularities found in . As a consequence to this "natural" property, some appear more or less appropriate to handle for the . Ambigram candidates can become " almost natural", when all the letters except maybe one or two are symmetrically cooperative, for example the word "awesome" possesses 5 compatible letters (the central s that flips around itself, and the couples a/e and w/m).


Single word or several words
A symmetrical ambigram can be called "homogram" (contraction of "homo-ambigram") when it remains unchanged after reflection, and "heterogram" when it transforms.
(2025). 9783110179620, Herbert Ernst Wiegand. .
In the most common type of ambigram, the two interpretations arise when the image is rotated 180 degrees with respect to each other (in other words, a second reading is obtained from the first by simply rotating the sheet).


Single
Douglas Hofstadter coined the word "homogram" to define an ambigram with identical letters. In this case, the first half of the word turns into the last half..

Wikipedia-ambigram.svg|Ambigram "", drawn by French artist Jean-Claude Pertuzé, 180° rotational symmetry. Ambigram_Candy_icon_-_pink_animated.gif|"", 180° symmetrical ambigram. Ambigram_Cloud_-_blue.png|"", vertical axis mirror ambigram with a cloud occupying in the letter O. Ambigram Doug - white on black animated.gif|"Doug", for Douglas Hofstadter, the "father" of the ambigram concept.


Several
A symmetrical ambigram may be called a "heterogram" (contraction of "hetero-ambigram") when it becomes a different word after rotation. Visually, a hetero-ambigram is symmetrical only when both versions of the pairing are shown together. The appearance is more difficult to design when a changing ambigram is intended to be shown in one way only, because symmetry generally enhances the visual appearance of artwork. Technically, there are two times more combinations of letters involved in a hetero-ambigram than in a homo-ambigram. For example, the 180° rotational ambigram "yeah" contains only two pairs of letters: y/h and e/a, whereas the heterogram "yeah / good" contains four : y/d, e/o, a/o, and h/g.

There is no limitation to the number of words that can potentially be paired up as hetero-ambigrams, and full ambigram sentences have even been published.

File:Ambigram Ambigram Wikipedia (animated).gif|"Ambigram / ", hetero- type.

(2022). 9782340067134, . .
File:Ambigram_true_flag.png|"True flag", flag, horizontal axis mirror hetero- type. File:Ambigram Stay here (animated).gif|Two word ambigram "Stay Here". File:Ambigram_Real_Fake_animated_(1).gif|Two word ambigram " / " showing alternatively one version of the pair.


Types
Ambigrams are exercises in that play with , and visual perception. Some ambigrams feature a relationship between their form and their . Ambigrams usually fall into one of several categories.


180° rotational
"Half-turn" ambigrams or ambigrams, commonly called "upside-down words", are 180° rotational symmetrical . They can be read right side up or upside down, or both.

File:Ambigram Say Yes radial pattern rainbow color - rotation animation.gif|Rotating ambigram "Say Yes", half-turn type with 8 occurrences of the same . The phrase itself is a phonetic palindrome. File:Ambigramme Merci - animation.gif| ambigram . File:Ambigram Home Away - red and yellow - animation.gif|"Home / Away", 180° rotational hetero-ambigram. File:Lift London red circle logo.svg|, half-turn ambigram logo.


Reflection
A or reflection ambigram is a design that can be read when reflected in a vertically, horizontally, or at 45 degrees, giving either the same word or another word or phrase.


Vertical axis
When the reflecting surface is vertical (like a for example), the calligraphic design is a vertical axis mirror ambigram.

The "museum" ambigram is almost natural with mirror symmetry, because the first two letters are easily exchanged with the last two, and the lowercase letter e can be transformed into s by a fairly obvious typographical acrobatics..

Vertical axis mirror ambigrams find clever applications in (or ), that is formed by writing in the direction that is the reverse of the natural way for a given language, such that the result is the of normal writing: it appears normal when it is reflected in a . For example, the word "ambulance" could be read frontward and backward in a vertical axis reflective ambigram. Following this idea, the French artist Patrice Hamel created a mirror ambigram saying "" ( entrance, in French) one way, and "" ( exit) the other way, displayed in the giant glass façade of the Gare du Nord in , so that the travelers coming in read entrance, and those leaving read way out.


Horizontal axis
When the reflecting surface is horizontal (like a mirroring lake for example), the calligraphic design is a horizontal axis mirror ambigram.

The book Ambigrams Revealed features several creations of this type, like the word "Failure" mirroring in the water of a pond to give "Success", or "Love" changing into "Lust"..


Figure-ground
In a figure / ground ambigram, letters fit together so the around and between one word spells another word.

In Gestalt psychology, figure–ground perception is known as identifying a figure from the back ground. For example, black words on a printed paper are seen as the "figure", and the white sheet as the "background". In ambigrams, the typographic space of the background is used as to form new letters and new words. For example, inside a H, one can easily insert a lowercase i.

The oil painting You & Me (US) by John Langdon (1996) belongs to this category. The word "me" fills the space between the letters of "you"..


Tessellations
With Escher-like associated to word , ambigrams can be oriented in three, four, and up to six directions via rotational symmetries of 120°, 90° and 60° respectively,
(2018). 9782842450755 .
such as those created by French artist Alain Nicolas.. Some words can also transform in the , but the multiplication of constraints often has the effect of reducing either the readability or the of the words.

Ambigram tessellations are word , in which sets the rules.

File:Ambigram_Yeah_tessellation_-_animation.gif| build with the natural ambigram "Yeah". File:Tessellation_Serie_-_3_directions.png|3-directional ambigram "" ( series, in French), using a 120° rotational symmetry. Created from a .

.


Chain
A chain ambigram is a design where a word (or sometimes words) are interlinked, forming a repeating chain. Letters are usually overlapped: a word will start partway through another word. Sometimes chain ambigrams are presented in the form of a circle. For example, the chain "...sunsunsunsun..." can flip upside down, but not the word "sun" alone, written horizontally. A chain ambigram can be constituted of one to several elements. A single element ambigram chain is like a snake eating its own tail. A two-elements ambigram chain is like a snake eating the neighbor's tail with the neighbor eating the first snake's, and so on.

's " Infinity" works, and that of John Langdon " Chain reaction", are also , since the first is infinite in the literal sense of the word, and the second, both reversible at 180° and interfering around the letter O, evokes a chain reaction..


Spinonyms
A is a type of ambigram in which a word is written using the same repeated in different orientations. WEB is an example of a word that can easily be made into a spinonym.

File:Motor Bike Expo logo.svg| (Motor Bike Expo) spinonym logo. The same is repeated in three different orientations. File:Spinonym neun.JPG|Spinonym "neun 9" (German for nine), five times the same repeated in different orientations. File:Ambigram spinonym Happy New Year.png|"Happy new year" spinonym, the same in different orientations shapes the twelve letters of the sentence.


Perceptual shift
ambigrams, also called "oscillation" ambigrams, are designs with no but can be read as depending on how the curves of the letters are interpreted. These ambigrams work on the principle of rabbit-duck-style ambiguous images.

For example Douglas Hofstadter expresses the dual nature of light as revealed by physics with his perceptual shift ambigram Wave / Particle.


90° rotational
"Quarter-turn" ambigrams or 90° rotational ambigrams turn or to express different meanings. For example, the letter U can turn into a C and reciprocally, or the letters M or W into an E.


Totem
A totem ambigram is an ambigram whose letters are stacked like a , most often offering a vertical axis . This type helps when several letters fit together, but hardly the whole word. For example, in the , the letters M, A and I are individually symmetrical, and the pairing R/A is almost naturally mirroring. When adequately stacked, the 5 letters produce a nice totem ambigram, whereas the whole name "Maria" would not offer the same cooperativeness.

The ambigrammist artist John Langdon designed several totemic assemblages, such as the word "METRO" composed of the symmetrical letter M, then section ETR, and below O; or the sentence "THANK YOU", vertical assembly of T, H, A, then of the symmetric NK couple, then finally Y, O, U..


Fractal
In mathematics, a is a geometrical that exhibits invariance under scaling. A piece of the whole, if enlarged, has the same geometrical features as the entire object itself. A fractal ambigram is a sort of space-filling ambigrams where the word branches from itself and then shrinks in a manner, forming a . In general, only a few letters are constrained in a fractal ambigram. The other letters don't need to look like any other, and thus can be shaped freely.


3-dimensional
A 3D ambigram is a design where an object is presented that will appear to read several letters or words when viewed from different angles. Such designs can be generated using constructive solid geometry, a technique used in , and then physically constructed with the rapid prototyping method.

3-dimensional ambigram can also be achieved in . They are ambigrams.

The original 1979 edition of Hofstadter's Gödel, Escher, Bach featured two 3-D ambigrams on the cover.


Complex
Complex ambigrams are ambigrams involving more than one symmetry, or satisfying the criteria for several types. For example, a complex ambigram can be both rotational and mirror with a 4-fold symmetry. Or a spinonym that reads upside down is also a complex ambigram.

File:Oxo_Bouillon_Liebig,_Reclams_Universum_1905.jpg|The logo Oxo has a 4-fold symmetry (mirror and 180° rotational ambigram). File:EDC logo.svg|The famous DJ Étienne de Crécy has a complex ambigram logo "EDC", mirroring through a horizontal axis, and figure-ground type with a inserted in the . File:Ambigram Dig hole Die.png|4-fold symmetrical ambigram (mirror and rotational) ", ".


Symbols

Languages
Ambigrams exist in many languages. With the , they generally mix and letters. But words can also be symmetrical in other alphabets, like , , Cyrillic, , and even in Chinese characters and Japanese .

In , (bear) and (door), (ball) and (luck), or (water) and () form a natural rotational ambigram. Some syllables like (yes), (ticket/signage) or ( object particle), and words like "허리피라우" (straighten your back) also make full ambigrams.

The meaning "hundred" is written , that makes a natural 90° rotational ambigram when the makes a quarter turn counterclockwise, one sees "100".

.


Numbers
An ambigram of numbers, or numeral ambigram, contains , like 1, 2, 3...

In , a palindromic number (also known as a numeral palindrome) is a number that remains the same when its digits are reversed through a vertical axis (but not necessarily visually). The palindromic numbers containing only 1, 8, and 0, constitute natural numeric ambigrams (visually symmetrical through a ). Also, because the 2 is graphically the of 5, it means numbers like 205 or 85128 are natural numeral mirror ambigrams. Though not palindromic in the mathematical sense, they read frontward and backward like real ambigrams.

A strobogrammatic number is a number whose numeral is rotationally symmetric, so that it appears the same when rotated 180 degrees. The numeral looks the same right-side up and upside down (e.g., 69, 96, 1001).

Some are natural numeral ambigrams. In March 1961, artist created an upside-down cover for featuring an ambigram of the current year. The title says "No matter how you look at it... it's gonna be a Mad year. 1961, the first upside-down year since 1881." Tuesday, 22 February 2022, was a palindrome and ambigram date called "" because it contained reversible 2 (two).

Ambigrams of numbers receive most attention in the realm of recreational mathematics.

Ambigrams with numbers sometimes combine letters and numerical digits. Because the number 5 is approximately shaped like the letter S, the number 6 like a lowercase b, the number 9 like the letter g, it is possible to play on these similarities to design ambigrams. A good example is the Sochi 2014 (Olympic games) logo where the four contained in 2014 are exact symmetries of the four letters S, o, i and h, individually.


Others
As are used in the to express the visually, other are also used in the world to code other fields, like the prosigns in the or the in .

Similarly to the ambigrams of letters, the ambigrams with other symbols are generally visually symmetrical, either or .

The international is a natural ambigram constituted of dots and dashes. It flips upside down or through a mirror.

In morse code, the letter P coded and the letter R coded are individually symmetrical, like many other letters and numbers. Also, the letter G coded is the exact reverse of the letter W coded . Thus, the combination / coding the pairing G/W constitutes a natural ambigram. Consequently, meaningful natural ambigrams written in morse code certainly exist, like for example the words "gnaw" , "Dou" or "" .

In , the interlude from 's opera Lulu is a , thus the made up of is almost symmetrical through a vertical axis.

In , researchers study the ambigrammatic property of by using visual representations of the symmetrical sequences.


Fields

Art

Calligraphy and typography
Instead of simply writing them, ambigram covers the of . In ambigram calligraphy, each letter acts as an , each letter is created with attention to detail and has a unique role within a composition. Lettering ambigrams do not translate into combinations of alphabet letters that can be used like a , since they are created with a specific candidate in mind.

The , writer and Niels Shoe Meulman created several rotational ambigrams like the number "fifty",. the names "Shoe / Patta",. and the opposition "Love / Fear".

The of the 7th volume of the book Typism is an ambigram drawn by Nikita Prokhorov.

The American designed poetic and ambigrams, such as the words "Revelation", "Typophile", and the symbiosis "Drink / Drunk".. The last one makes a when printed on a , sold commercially.


Logos
Since they are visually striking, and sometimes surprising, ambigram words find large application in and , setting the visual identity of many organizations, trademarks and brands..

In 1968 or 1969, designed the rotational ambigram logo..

The mirror ambigram DeLorean Motor Company logo, designed by Phil Gibbon, was first used in 1975. In 1977, only the single 1975 prototype existed. There are multiple visible differences between the prototype vehicle and later production models, including the design of the front end.

Robert Petrick designed the invertible Angel logo. in 1976.

The logo (Microsystems) designed by professor in 1982 fulfills the criteria of several types: chain ambigram, spinonym, 90° and 180° rotational symmetries.

The Swedish pop group owns a mirror ambigram logo stylized AᗺBA with a reversed B, designed by in 1976.

The Ventura logo of the Visitors & Convention Bureau's board, in California, cost and was created in 2014 by the DuPuis group. It uses a 180° rotational symmetry.

Other famous ambigram logos include: the insurance company ; the CRD (Capital Regional District) in the Canadian province of British Columbia; the American multinational corporation Technology; the two-sided marketplace for residential cleaning Handy;.. the brand name of French premium high-speed train services ;. the French company specializing in ticketing and passenger information systems IXXI; the century-old brand of the confectionery manufacturer Haribo; the American industrial rock band NIͶ; the Japanese food company ; the biotechnology company Pharma, founded in 1997; the online travel agency in 2001;. the brand of food products OXO born in 1899; the video game Pod; the American developer and manufacturer of audio products ; the American professional basketball team Phoenix ;.. the German manufacturer of adhesive products ; the quadruple symmetrical logo from the American clothing brand Under Armour ; the Canadian corporation mandated to operate intercity passenger rail service in 1978;. the American international broadcaster , born in 1942; and the Malaysian mobile virtual network operator . The student edition of the used 180° rotational symmetry.


Visual communication
Because they are , ambigrams generally attract attention, and thus can be used in visual communication to broadcast a or message.

In France, a mirror ambigram " / " legible through a horizontal axis became a on the web after its diffusion on Wikimedia Commons. , wife of French politician and former Prime Minister of France François Fillon, is suspected of having received wages for a fictitious job. Ironically, her name through the mirror becomes ( in French), suggesting dedication for a free service. Shared tens of thousands of times on the , this ambigram made the buzz via several French, Belgian and Swiss .

Ambigrams are regularly used by communication agencies such as to engage the reader or the consumer through two-way messages. Thus, in 2021, male first names transformed into female first names are included in a Swiss advertising campaign aimed at raising awareness about . An intriguing typography upside down invites the reader to rotate the magazine, in which the first names "Michael" or "Peter" are transformed into "Nathalie" or "Alice"..

In 2015 iSmart's logo on one of its travel went because the brand's name turned out to be a natural ambigram that read "+!" upside down. The company noted that "...we learned a powerful lesson of what not to do when creating a ."

sometimes seduce observers with ambigram titles, such as that of Tenet by Christopher Nolan, by central symmetry. or Anna by around a vertical axis,..

File:Penelope_benevole_ambigramme_de_Basile_Morin.jpg|Ambigram " / " with a political message. File:Ambigram_station_toilets_-_animated.gif|Half-turn using a directional arrow to display alternatively " / ". File:Ambigram_Avoid_the_plane.gif| "Avoid the plane" to attract attention towards the environmental impact of aviation. File:IdaplatzAmbigram.jpg|A practical application of ambigrams in a reading "Idaplatz fest" front and back (Zürich, 2008).


Comics
The American artist and writer published a ambigram in 1893 saying "Puzzle / The end" in the book containing reversible illustrations Topsys & Turvys.

In March 1904 the Dutch-American artist used ambigrams in three consecutive strips of The UpsideDowns of old man Muffaroo and little lady Lovekins. His comics were , made in such a way that one could read the six-panel comic, flip the book and keep reading. In The Wonderful Cure of the Waterfall (13 March 1904) an Indian medicine man says 'Big waters would make her very sound', while when flipped the medicine man turns into an Indian woman who says 'punos dery, ery apew poom, serlem big'. Which is explained as, 'poor deary' several foreign words that meant that she would call the 'Serlem Big'. The next comic called At the House of the Writing Pig (20 March 1904), where two ambigram word are featured. The first features an angry pig trying to make the main protagonist leave by showing a sign that says; 'big boy go away, dis am home of mr h hog', up side down it reads 'Boy yew go away. We sip. Home of hog pig.' The protagonist asks the pig if it wants a big bun, upon which it replies 'Why big buns? Am mad u!', which flips into 'In pew we sang big hym'. Finally in The Bad Snake and the Good Wizard (1904 Mar 27) there are two more ambigrams. The first turns 'How do you do' into the name of a wizard called 'Opnohop Moy', the second features a squirrel telling the protagonist 'Yes further on' only to inform it that there are 'No serpents here' on his way back. In a 2012 Swedish remake of the book,

(2025). 9789170895241, Epix.
the artist Marcus Ivarsson redraws The Bad Snake and the Good Wizard in his own style. He removes the squirrel, but keeps the other ambigram. 'How do you do' is replaced by 'Nejnej' (Swedish for no) and the wizard is now called 'Laulau'.

.

, workshop of potential comic book art, is a movement which believes in the use of formal constraints to push the boundaries of the medium. Étienne Lécroart, , is a founder and key member of Oubapo association, and has composed cartoons that could be read either horizontally, vertically, or in diagonal, and vice versa, sometimes including appropriate ambigrams.


Drawings and paintings
The British , designer and illustrator , published in 1946 a rotational ambigram "¡OHO!" for the cover of a book gathering reversible drawings.

The artist John Langdon, specialist of ambigrams, designed many color featuring ambigrams of all kinds, figure-ground, rotational, mirror or totem. Among other influences, he particularly admires M. C. Escher's ..

The Canadian artist Kelly Klages painted several on with ambigram words and sentences referring to famous writers' novels written by William Shakespeare or , such as , , After the Funeral, , Reformation, , and Elephants Can Remember.


Sculptures
The German artist Mia Florentine Weiss built a sculptural ambigram , that has traveled Europe as a symbol of peace and change of perspective. Depending on which side the viewer looks at it, the sculpture says "Love" or "Hate". A similar concept was installed in front of the Reichstag building in with the words "Now / Won". Both sculptures are mirror type ambigrams, symmetrical around a vertical axis.

The Swiss sculptor made several three-dimensional ambigram works, featuring words generally with related meanings, such as YES-NO (2003), ME-WE (2004, 2010),. OUI-NON (2000–2002) in French,. SI–NO (1996). and TODO-NADA (1998) in Spanish.. These are works, which change in appearance depending on the angle of view of the observer. The OUI–NON ambigram is installed on the Place du Rhône, in , , at the top of a metal pole. Physically, the letters have the appearance of iron twists. With the perspective, this work demonstrates that reality can be .

Some ambigram sculptures by the French conjurer are reversible by a half-turn rotation, and can therefore be exhibited on a support in two different ways...


Tattoos
One of the most dynamic sectors that harbors ambigrams is . Because they possess two ways of reading, ambigram tattoos inked on the skin benefit from a "mind-blowing" effect. On the arm, , on the back or jointly on two wrists they are more striking with a . A large range of and is available. Experienced ambigram artists can create an with a complex .
(2025). 9780785825784, Chartwell Books. .

In 2015, an ambigram went following an advertising campaign developed by the group two years earlier. The Samaritans of Singapore organization, active in suicide prevention, has a 180° reversible "SOS" ambigram logo, of its name and of the famous distress signal. In 2013, this center orders advertisements that could be inserted in magazines to make readers aware of the problem of depression among young people, and the communication agency notices the symmetrical aspect of the logo. As a result, it begins to produce several ambigrammatic visuals, staged in photographic contexts, where sentences such as "I'm fine", "I feel fantastic" or "Life is great" turn into "Save me", "I'm falling apart", and "I hate myself". Readers noticing this logo placed at the upper left corner of the page with an upside-down typographical rotate the newspaper and visualize the double calligraphed messages, which call out with the SOS.. These ads are so influential that Bekah Miles, an American student herself coming out of a severe depression, chooses to use the "I'm fine / Save me" ambigram to get a tattoo on her thigh. Posted on Facebook, the two-sided photography immediately appeals to many young people, impressed or sensitive to this difficulty. To educate its students, George Fox University in the United States then relays the optical illusion in its official journal, through a video totaling more than three million views and the information is also reproduced in several local media and international organizations, thus helping to popularize this famous two-way tattoo. Less fortunate, another teenage girl, aged 16, committed suicide, with her also this ambigram found on a note in her room, "I'm fine / Save me", reversible calligraphy today printed on badges and bracelets, for educational purposes.


Literature

Palindromes
Ambigrams are sorts of . Some words turn upside down, others are symmetrical through a mirror. Natural ambigram palindromes exist, like the words "wow", "" (Dravidian language), or the biotechnology company that possesses a name associated to a rotational ambigram logo. But some words are natural ambigrams, though not palindromes in the literary acception, like "bud" for example, because b and d are different letters. As a result, some words and sentences are good candidates for ambigrammists, but not for palindromists, and reciprocally, since the constraints differ slightly. Authors of ambigrams also benefit from a certain flexibility by playing on the and adjustments to influence the reading of their visual palindromes.

, workshop of potential literature, seeks to create works using constrained writing techniques. , French novelist and member of the Oulipo group, designed a rotational ambigram, that he called "vertical palindrome". Sibylline, the sentence "Andin Basnoda a une épouse qui pue" in French means "Andin Basnoda has a smelly wife". Perec did not care about punctuation spaces, but his creation flips easily with a classical font like .

Visual palindromes sometimes perfectly illustrate literary contents. The American author incorporated John Langdon's designs into the plot of his bestseller Angels & Demons, and his fictional character 's surname was a homage to the ambigram artist.

The fantasy novel , written and illustrated by , features an ambigram of the title on its cover.


Calligrams
A is text arranged in such a way that it forms a thematically related image. It can be a poem, a phrase, a portion of , or a single word. The visual arrangement can rely on certain use of the , or . The image created by the words illustrates the text by expressing visually what it says, or something closely associated.

In Islamic calligraphy, symmetrical calligrams appear in ancient and modern periods, forming mirror ambigrams in language.

The word "OK" turned 90° evokes a human icon, with the letter O forming the head and the letter K the arms and the legs. The Norwegian Climbing Club ( "OK") borrowed the concept of this natural for their official logo.


Semantics
As described by Douglas Hofstadter, ambigrams are having two or more (clear) interpretations as .

ambigrams can be read one way in a , and another way in a different language or .. Multi-lingual ambigrams can occur in all of the various types of ambigrams, with multi-lingual perceptual shift ambigrams being particularly striking.

Like certain with providential meanings such as "Listen / Silent" or "The eyes / They see", ambigrams also sometimes take on a timely sense, for example "up" becomes the abbreviation "dn", very naturally by rotation of 180°.

(2025). 9780393020236, W. W. Norton & Company. .
But on the other hand, it happens that the luck of the letters makes things bad. This is the case with the weird anagram " / Satan", as it is with a rotational ambigram that has gone because of the and unintentional message it expresses. Spotted in 2015 on a metal medal marketed without bad intention, the text "" displays upside down with a fairly obvious reading "". This coincidence photographed by an Internet user was relayed by several media and constitutes an ...


Mathematics
Recreational mathematics is carried out for rather than as a strictly research and application-based professional activity. An ambigram exists, with the sums of the numbers in each row, each column, and both main diagonals the same right side up and upside down (180° rotational design). Numeral ambigrams also associate with alphabet letters. A "dissection" ambigram of "squaring the circle" was achieved in a puzzle where each piece of the word "circle" fits inside a perfect square.

, professor of mathematics in conducted researches on ambigrams and published several books dealing with the topic, including Eye Twisters, Ambigrams & Other Visual Puzzles to Amaze and Entertain.. In the abstract Mathemagical Ambigrams, Polster performs several ambigrams closely related to his realm, like the words "", "", "", "", or "mathematics".

Message written with the "07734" upside down.

Calculator spelling is an unintended characteristic of the seven-segment display traditionally used by , in which, when read upside-down, the digits resemble letters of the . Also, palindromic numbers and strobogrammatic numbers sometimes attract attention of mathematician ambigrammists.

Ambigram and 3D ambigrams are two types particularly fun for the mathematician in . Word in tessellations can start from 35 different fundamental , such as the , the , or the .

are used as a source of , but can additionally serve an purpose. The American designer published several ambigrams in Scientific American in 's "Mathematical Games" column, among them long sentences like "Martin Gardner's celebration of " turning into "Physics, patterns and "..


Psychology
is an important aspect in successful ambigrams. It concerns the ease with which a reader decodes symbols. If the message is lost or difficult to perceive, an ambigram does not work. Readability is related to , or how our brain the forms we see through our eyes.

in ambigrams generally improves the visual appearance of the words. Hermann Rorschach, inventor of the notices that asymmetric figures are rejected by many subjects. Symmetry supplies part of the necessary artistic composition.

(2025). 9781297496356, Andesite Press.

For many , designing ambigrams represents a recreational activity, where can play a fertile role, when the author makes an unplanned fortunate discovery.


Duality and analogy
In the word " ambigram", the root ambi- means "both" and is a popular prefix in a world of dualities, such as day/night, left/right, birth/death, good/evil.. In Wordplay: The Philosophy, Art, and Science of Ambigrams,. John Langdon mentions the yin and yang symbol as one of his major influences to create upside down words.

Ambigrams are mentioned in Metamagical Themas, an eclectic collection of articles that Douglas Hofstadter wrote for the magazine Scientific American during the early 1980s.

(2025). 9780786723867, Basic Books. .


Magic
In magic, ambigrams work like , revealing an unexpected new message from a particular written word.
(2025). 9781402705779, Sterling. .

In the first series of the British show Trick or Treat, the show's host and creator uses cards with rotational ambigrams. These cards can read either 'Trick' or 'Treat'.

, of which ambigrams are a part, cause ambiguity in different ways. For example, by rotational symmetry, as in the Illusion of The Cook by Giuseppe Arcimboldo (1570);. sometimes by a figure-ground ambivalence as in ; by perceptual shift as in the rabbit–duck illusion, or through ; or again, by the representation of impossible objects, such as or . For all these types of images, certain ambigrams exist, and can be combined with of the same type.

John Langdon designed a figure-ground ambigram "" with the two words "optical" and "illusion", one forming the figure and the other the background. "Optical" is easier to see initially but "illusion" emerges with longer observation.

(2025). 9783319252292, Springer. .


Manufacturing

Clothing and fashion
marketed a line of called "Bounce", with an ambigram printed inside the shoe.

Several clothing brands, such as (HH), (UA), or , raise an ambigram logo as their visual identity.

Mirror ambigrams are also sometimes placed on , and , while are more adapted to rotational ambigrams. The artist Mia Florentine Weiss marketed T-shirts and other products with her mirror ambigram . Likewise, the city of Ventura in California sells sweatshirts, caps, jackets, and other fashion accessories printed with its rotational ambigram logo..

File:Ambigram_Ideal,_polysymmetrical_logo_printed_on_a_green_T-shirt.jpg|Rotational and reflective ambigram "Ideal", on a T-shirt. File:Ambigram Zen Yes text with meditation pictogram, embroidered on a blue T-shirt.jpg|" Yes" embroidered on a blue T-shirt with a meditation symmetrical . File:Helly_Hansen_H%27s_(3887766452).jpg|, manufacturer and retailer of and sports equipment, has an ambigram logo.


Accessories
The of the thirteenth studio album Funeral by American rapper features a 180° rotational ambigram reading "Funeral / Lil Wayne".

The special edition paper sleeve (CD with DVD) of the solo album Chaos and Creation in the Backyard by features an ambigram of the singer's name.

The have used ambigrams several times, including on their albums

(2025). 9783031201271, Springer International Publishing.
See p. 88.
and American Beauty.
(2025). 9780253010384, Indiana University Press. .

Although the words spelled by most ambigrams are relatively short in length, one cover for The Princess Bride movie creates a rotational ambigram out of two words "Princess Bride", whether viewed right side up or upside down.

The cover of the studio album Create/Destroy/Create by rock band Goodnight, Sunrise is an ambigram composition constituted of two invariant words, "create" and "destroy", designed by Polish artist Daniel Dostal.

The reversible containing a changing message "Drink / Drunk", created by the was manufactured and sold in the market.

The concept of reversible sign that some merchants use through their windows to indicate that the store is sometimes "open", sometimes "closed", was inaugurated at the beginning of the 2000s, by a rotational ambigram "Open / Closed" developed by David Holst.


Creation
Different ambigram , sometimes called ambigrammists,. may create distinctive ambigrams from the same words, differing in both style and form.


Handmade designs
There are no universal guidelines for creating ambigrams, and different of approaching problems coexist. A number of books suggest methods for , including WordPlay, Eye Twisters, and Ambigrams Revealed, in English.


Generators
methods to create ambigrams have been developed such as ambigram generator.


Artists
John Langdon and each believed that they had invented ambigrams in the 1970s.


Douglas Hofstadter
Douglas Hofstadter coined the term.

To explain visually the numerous types of possible ambigrams, Hofstadter created many pieces with different constraints and symmetries.. Hofstadter has had several exhibitions of his artwork in various university galleries.

According to , Hofstadter once created a series of 50 ambigrams on the name of all the states in the US..

In 1987 a book of 200 of his ambigrams, together with a long dialogue with his alter ego Egbert G. Gebstadter on ambigrams and , was published in Italy.


John Langdon
John Langdon is a , and , who started designing ambigrams in the late 1960s and early 70s. specialist, Langdon is a professor of and corporate identity at Drexel University in .

John Langdon produced a mirror image logo "Starship" in 1972-1973,. that was sold to the rock band Jefferson Starship.

Langdon's ambigram book Wordplay was published in 1992. It contains about 60 ambigrams. Each design is accompanied by a brief essay that explores the word's definition, its etymology, its relationship to philosophy and science, and its use in everyday life.

Ambigrams became more popular as a result of incorporating John Langdon's designs into the plot of his bestseller, Angels & Demons, and the DVD release of the Angels & Demons movie contains a bonus chapter called "This is an Ambigram". Langdon also produced the ambigram that was used for some versions of the book's cover. Brown used the name for the hero in his novels as an homage to John Langdon.

Blacksmith Records, the music management company and , possesses a rotational ambigram logo designed by John Langdon.


Scott Kim
is one of the best-known masters of the art of ambigrams. He is an American designer and who published in 1981 a book called Inversions with ambigrams of many types.


Other
Nikita Prokhorov is a , and ambigram designer. His book Ambigrams Revealed showcases ambigram designs of all types, from all around the world.

Born in 1946, is a specialist of figurative and ambigram . In his book, he performed many tilings with various words like "infinity", "" or "inversion" legible in many orientations. According to , Nicolas has been called "the world's finest artist of Escher-style ".


Bibliography


Further reading
  • Hofstadter, Douglas R., "Metafont, Metamathematics, and Metaphysics: Comments on Donald Knuth's Article 'The Concept of a Meta-Font'" Scientific American (August 1982) (republished, with a postscript, as chapter 13 in the book Metamagical Themas )
  • (2025). 9782709628556, Éditions Jean-Claude Lattès.
  • (2025). 9782915633009, Ecritextes.


External links
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