fschieber/wit-captions huggingface dataset:
Performance in the ancient Herodeion theatre in Athens on 6 July 2019
English: Armonia Atenea-The Friends of Music Orchestra directed by George Petrou, with Myrto Papathanassiou in the role of Alcina. Set and costume by Giorgina Germanou, and stunning effects by Stella Kaltsou.
Railway bridge at Griethausen over the (old) Rhine, Kleve-Griethausen
English: Railway bridge over the (old) Rhine at Kleve-Griethausen, Germany Deutsch: Griethausener Eisenbahnbrücke über den Altrhein, Kleve-Griethausen, Deutschland Nederlands: Oude spoorbrug over de Oude Rijn, Kleve-Griethausen, Duitsland
Book cover of Konservativismus. Geschichtlicher Gehalt und Untergang.
English: Book cover of Konservativismus. Geschichtlicher Gehalt und Untergang, by Panajotis Kondylis.
Wuerl and President Obama welcome Pope Francis to United States, 2015
English: Archbishop Wuerl, with Barack Obama, welcomes Pope Francis to USA
The left-most of eight prints comprising the Large Triumphal Carriage
Otto Knows, principal compositor musical y productor de «Work Bitch».
English: Photograph of Otto playing live at Ushuaia, Ibiza
McCabe walks out to bat during the First Test of the Bodyline series.
en:Stan McCabe walks out to bat in the first Bodyline Test
Vorschlag des Kreises Lübbecke zur kommunalen Gebietsreform: 2. Stufe
Deutsch: Gliederungsvorschlag für den Kreis Lübbecke
Vista arredada do monte do Faro cos característicos cantís de granito
English: Faro de Cíes, in Cíes Islands, Pontevedra, Galicia, Spain. Español: Faro de Cíes, en las Islas Cíes, Pontevedra, Galicia, España. Galego: Faro de Cíes, nas Illas Cíes, Pontevedra, Galicia, España.
Aerial view of Divilacan after Super Typhoon Megi (PAGASA name: Juan)
English: U.S. Marines survey Divilacan, Isabela province, Philippines, from the air Oct. 22, 2010. U.S. and Filipino military personnel conducted initial recovery assistance in the areas affected by Super Typhoon Megi.
Фонтан на площі біля будівлі адміністрації селища (на задньому плані)
фонтан у площади перед зданием администрации посёлка
Actual biblioteca pública de Stadthagen, edificio construido en 1532.
English: Stadthagen, Germany. Landsberger Hof, manor house built in 1532, today public library. Deutsch: Stadthagen: Landsberger Hof, Adelshof erbaut 1532, heute Stadtbibliothek
Los progresivos Maquina! junto a Salvador Dalí en una imagen de 1970.
Español: Los componentes del grupo Máquina! junto a Salvador Dalí en una discoteca barcelonesa (1970).
Escudo de Armas como Dama Gran Cruz de la Orden de Isabel la Católica
Ground crew unloading 250-lb GP bombs in front of a Battle, 1939–1940
English: Royal Air Force- France 1939-1940. Armourers unloading 250-lb GP bombs from a trolley in front of a Fairey Battle of No. 226 Squadron, in the snow at Reims-Champagne.
באירוע הגעת קו הרכבת החשמלי מירושלים לתחנת סבידור מרכז, 29 ביוני 2020
עברית: מנכ"ל רכבת ישראל באירוע הגעת קו הרכבת החשמלי מירושלים לתחנת הרכבת תל אביב מרכז סבידור
Mappa dei luoghi in cui sono state ritrovate le vittime del massacro.
Mappa dei luoghi in cui sono state ritrovate le vittime del massacro.
VF-114 F-4B returning to USS Kitty Hawk from a strike mission in 1966
A McDonnell F-4B Phantom II (BuNo 148391) of fighter squadron VF-114 Aardvarks landing on the aircraft carrier USS Kitty Hawk (CVA-63) during a deployment to Vietnam in March 1966. VF-114 was part of Attack Carrier Air Wing Eleven (CVW-11). Note the empty multiple ejector racks (MERs) on the outboard stations of the Phantom.
Former county of Nyitra superimposed on map of contemporary Slovakia.
Rio Tejo na altura das Portas de Ródão, perto do cenário da massacre.
Português: Vila Velha de Ródão, com o Rio Tejo em pano de fundo; Serra da Estrela This is a photography of a Site of Community Importance in Portugal with the ID: PTCON0014. Natura2000 entry, EEA entry
1973-S "blue Ike": envelope, pliofilm coin holder, and printed insert
A 1973-S uncirculated "Blue Ike", envelope, pliofilm coin holder with coin, printed insert
ISBN с дополнительным UPC-5 обозначающим рекомендуемую цену в $44.95.
English: An ISBN-13 with an EAN-5 addon representing $44.95 USD. Created using Barcode Writer in Pure PostScript.
Modelo tridimensional de Gisela obtenido a partir de su curva de luz.
English: A three-dimensional model of 352 Gisela that was computed using light curve inversion techniques.
Memorial Unity Garden in front of Arkansas Hall honoring the victims.
English: A garden honoring the victims of a campus shooting at Arkansas Hall.
Beatrice di Tenda:
Francesco Bagnara's set designs for Act 1, scene 4
English: Beatrice di Tenda: Francesco Bagnara's set designs for Act 1, scene 4
Rolf Eckmiller auf dem Landesparteitag der FDP Baden-Württemberg 2015
English: Series: 112th regular party convention of the FDP Baden-Württemberg in Stuttgart on January 5th, 2015 Image: Rolf Eckmiller Deutsch: Serie: 112. ordentlicher Landesparteitag der FDP Baden-Württemberg in der Liederhalle Stuttgart am 5. Januar 2015 Bild: Rolf Eckmiller
Tampak dalam Gereja Kelahiran Santa Perawan Maria, Kepanjen, Surabaya
Bahasa Indonesia: Tampak dalam Gereja Kelahiran Santa Perawan Maria, Kepanjen, Surabaya
אגדיר: מראה כללי של העיר לאחר רעידת האדמה. העיר "שוטחה" כמעט לחלוטין.
English: View of Agadir following the earthquake of 29 February 1960
Isidro Lángara, uno de los mejores jugadores de la historia del club.
English: Isidro Lángara in the cover of El Gráfico magazine of Argentina.Русский: Исидро Лангара в журнале «El Grafico» в футболке «Сан-Лоренсо де Альмагро»
Vision idéale de la sphère domestique, gravure de Hugo Bürkner, 1854.
Desert Planet in Berlin. Jukka Tarkiainen, Antti Hovila, Jari Mikkola
English: Desert Planet in Berlin. Jukka Tarkiainen, Antti Hovila, Jari Mikkola
View south along the Palisades Interstate Parkway in Englewood Cliffs
English: View south along New Jersey State Route 445 (Palisades Interstate Parkway) just north of Exit 1 (Palisade Avenue, Englewood Cliffs, Englewood) in Englewood Cliffs, Bergen County, New Jersey
Il Palazzo Tercasio, sede della prima tipografia del Principato Citra
Italiano: Palazzo Tercasio di Campagna, sede della prima tipografia a caratteri mobili del Principato Citeriore.
Микола Крестинський, представник СРСР на конференції у Відні, 1924 р.
Nikolai Krestinsky (1883 - 1938), Russian Bolshevik revolutionary, Soviet politician and diplomat
Location of Milltown in Crawford County and Harrison County, Indiana.
Một suất pyttipanna với rau xanh, vài lát củ cải đường cùng trứng rán
English: This is a serving of the Swedish dish pyttipanna. This particular serving was made from store-bought pyttipanna (potatoes, meat and onion), and two different kinds of frozen vegetable packs (including peas, corn, red bell pepper, baby carrots, etc). Served with a fried egg and beetroot. Svenska: En tallrik pyttipanna. Just den här varianten tillagades av fryst pyttipanna (potatis, kött och lök), vanliga frysta grönsaker (ärtor, majs och röd paprika) och Eldorados frysta Sommargrönsaker (bland annat morot). Serveras här med ett stekt ägg och skivade rödbetor.
Catoblépas d'après La Tentation de saint Antoine de Gustave Flaubert.
Deutsch: Katoblepas
Michel Fokine in kostuum voor Daphnis et Chloé (Ballets Russes, 1910)
English: Photographic image of Russian dancer Michel/Mikhail Fokine (1880 – 1942), in costume for Daphnis and Chloe, 1912. MS Thr 414.2 (44), Harvard Theatre Collection, Houghton Library, Harvard University
Hội đồng huyện của  Kawabe, Akita một thời gian ngắn trước khi bãi bỏ
English: Kawabe District Assembly 日本語: 河辺郡会（秋田県）
Minas municipality (red) within 
 Camagüey Province (yellow) and Cuba
English: A map of the municipality of Minas (shown in red) within the Province of Camagüey (yellow) and Cuba.
Bimont dans son canton et dans l'arrondissement de Montreuil-sur-Mer.
Ritratto infantile di Gabriella Trissino dal Vello d'Oro (1873-1954).
Italiano: Ritratto infantile di Gabriella Trissino dal Vello d'Oro (1873-1954) - autore ignoto - olio su tela - collezione privata English: Portrait of Gabriella Trissino dal Vello d'Oro (1873-1954) unknown painter - oil on canvass - private collection
Mary Sumner House, Mother's Union headquarters, Tufton Street, London
English: Mary Sumner House Mothers Union HQ Tufton Street Picture is taken from Great Peter Street http://www.themothersunion.org/mary_sumner_house.aspx
U.S. Forest Service photo from the mid-1920's (not the current tower)
English: n.d.—Hillboro Peak lookout in the mid-1920's. Photo by Unknown FS #21076
Paul Ferguson performing at the 2009 Ilosaarirock festival in فنلاند.
English: Drummer Paul Ferguson of Killing Joke performing at the Ilosaarirock festival in Joensuu, Finland.
Carole Spiers presenting at Leaders, 
Abu Dhabi Family Business Forum
English: Carole Spiers presenting at Leaders, Abu Dhabi Family Business Forum
Bergen Big Band at a memorial concert for Olav Dale, November 2, 2014
English: Bergen Big Band November 2014
Designer Toys von KAWS in der Städtischen  Galerie BWA Breslau, 2009.
Designer Toys by KAWS at Galeria BWA Design, Wrocław (Poland) 2009
Das Hotel Merkur in Leipzig, 1981 (Bildmitte: Gebäude im Hintergrund)
For documentary purposes the German Federal Archive often retained the original image captions, which may be erroneous, biased, obsolete or politically extreme. Leipzig, Hotel "Merkur" ADN-ZB 17.6.81 me. DDR: Hotel "Merkur" in Leipzig Anfang März 1981 wurde in Leipzig das neue Interhotel "Merkur" eröffnet. Das etwa 100 Meter hohe Hotel mit 27 Geschossen wurde von dem japanischen Bauunternehmen Kajima Corporation projektiert. Mit rund 450 Zimmern, zehn Restaurants und Bars, fünf Salons und einem Kongreßzentrum zählt das Hotel "Merkur" zur internationalen Spitzenklasse und bietet Attraktionen wie einen japanischen Garten mit Wasserfall, Teichen und Lampiongirlanden sowie das Nationalitätenrestaurant ""Sakura"". Reporter: Gahlbeck Copyright: ADN-Zentralbild Berlin-DDR
Dispositions shortly before the start of the battle, at about 4:30 am
English: The Battle of Dunbar took place during the War of the Three Kingdoms, in what is commonly referred to as the "Third English Civil War". This map depicts the general layout of the two armies just prior to the battle, at 0430. The Scottish army is labelled in blue, while the English army is in red.
Sounders players celebrating a goal against the Colorado Rapids, 2014
English: Seattle Sounders FC players celebrating the third goal in a 4–1 victory over the Colorado Rapids at CenturyLink Field, viewed from the "Brougham End" with the Emerald City Supporters group.
Vista de la Cidade da Cultura de Galicia. Al fons, les Torres Hedjuk.
Posted via email from certo.posterous.com/cultura-o-ribeirense-xose-ramon-barre...
Ponte coperto di Baumgardener come si presenta da un lato all'esterno
A photograph of the Baumgardener's Covered Bridge located in Lancaster County, Pennsylvania. The picture is taken from the side showing about 80% of the bridge. Camera and Exposure Details:Camera: Nikon D50Lens: Tokina 12-24mm f/4Exposure: 12mm (18mm in 35mm equivalent) f/9.5 @ 1/125 s.
Weimarinseisoja on energinen rotu, joka tarvitsee runsaasti ulkoilua.
Weimaraner running in snow.
Natsuki☆Taiyo, the inaugural and record four-time High Speed Champion
日本語: 夏樹☆たいよう 2010年5月3日　アイスリボン　後楽園ホール大会 投稿者撮影 Category:人物画像
Picada allo stile di Córdoba. Da notare la varietà degli ingredienti.
Picada cordobesa - Argentina
Billet de 20 escudos angolais (1956) avec le portrait de Silva Porto.
Português: ANG20(1956)f Angola 20 Escudos 15 Agosto 1956 Silva Porto
Rautzhan (left) and Johnny Oates with the Los Angeles Dodgers in 1978
English: NY Mets' Lee Mazzilli is about to be out trying to steal home base. LA Dodgers' catcher Johnny Oates and pitcher Lance Rautzhan are protecting home while the Mets' Steve Henderson is at bat. The Mets won 8 to 5 at Dodger Stadium.. (Scanned from 35mm Kodachrome 64 slide)
Kljestan (left) playing for the United States against Austria in 2013
Deutsch: Freundschaftsspiel: Österreich (rote Trikots) gegen USA (weiße Trikots) am 19. November 2013 (1:0) im Wiener Ernst-Happel-Stadion. – Das Foto zeigt von links nach rechts Sacha Kljestan, Martin Hinteregger (dahinter Terrence Boyd), Veli Kavlak und Aleksandar Dragović. English: Friendly-match Austria (red Shirts) vs. USA (white shirts) (1:0) in the Ernst-Happel-Stadion in Vienna at 2013-03-22. – The photo shows Sacha Kljestan, Martin Hinteregger (behind Terrence Boyd), Veli Kavlak and Aleksandar Dragović. Camera location48° 12′ 25″ N, 16° 25′ 14″ E View this and other nearby images on: OpenStreetMap - Google Earth
Y-Sehne und Sehnenstopper „(STS)“ an einem Mono- oder Singlecam-Bogen
Deutsch: Umlenkrolle eines Mission-Single-Cam-Bogens mit Sehnenstopper und Y-Kabel-Aufhängung English: Idler of a Mission single-cam bow with bow string stopper and y-cable suspension
The Meilen ferry terminal, as seen from a ferry just about to depart.
Zürichsee-Fähre in Meilen (Switzerland)
Lo stemma della fortezza scolpito alla Fontana degli Schiavi nel 1570
Italiano: Fontana degli Schiavi, Ortigia, Siracusa
Museuminstallation im DAF-Museum mit getrennter Karosserie und Rahmen
Deutsch: DAF 55, Museuminstallation im DAF-Museum mit getrennter Karosserie und Rahmen English: DAF 55, installation at the DAF museum, chassis lifted from frame
Modelo tridimensional de Tanina obtenido a partir de su curva de luz.
English: 3D convex shape model of 825 Tanina, computed using light curve inversion techniques. J. Hanuš, J. Ďurech, M. Brož, B. D. Warner (June 2011). "A study of asteroid pole-latitude distribution based on an extended set of shape models derived by the lightcurve inversion method". Astronomy and Astrophysics 530: A134. DOI:10.1051/0004-6361/201116738. ISSN 0004-6361. arXiv
Venable Hall at Hampden–Sydney College, designed by Cosby (1824–1830)
English: Venable Hall at Hampden–Sydney College
Das Schloss Gratot mit Rundturm (links) und dem Turm der Fee (rechts)
English: Gratot Castle, Château de Gratot, Gratot, Département de la Manche, Région Basse-Normandie, France. Deutsch: Schloss Gratot, Château de Gratot, Gratot, Département de la Manche, Region Basse-Normandie, Frankreich. Français : Château de Gratot, Gratot, Département de la Manche, Région Basse-Normandie, France.
Tablica pamiątkowa widoczna od strony Wąskiego Dunaju i Nowomiejskiej
RAD Group headquarters, in the Ramat HaHayal neighborhood of Tel Aviv
English: HaBarzel Street, Ramat Hahayal, Tel Aviv
Молодило на гербі муніципалітету Германіце (чеськ. Heřmanice) у Чехії
Čeština: Znak obce Heřmanice, okres Liberec. V červeno-stříbrně polceném štítě vpravo stříbrná, zlatě zdobená plátová zbroj podložená vztyčeným zlatým mečem, vlevo tři červené květy netřesku se zlatými středy na lodyhách rostoucích z růžice, obojí zelené. Deutsch: Wappen der Gemeinde Heřmanice (Hermsdorf), Okres Liberec, Tschechien English: Coat of arms of Heřmanice municipality, Liberec District, Czech Republic.
Gay Talese di tahun 2006 lewat foto yang diambil oleh David Shankbone
This is one of my earliest photographs for my project, taken in August 2006. At the famed Strand Bookstore, Gay Talese is a legend and I was nervous to be bold enough to take his portrait. This would be the start of my series of authors. I was milling about in the aisle next to the speaker's podium, and behind me he walked up. He was so friendly, introduced himself, and I mumbled if I could take his photo. He was happy to do so. I took a few shots, and then he went to speak. An encouraging first experience. In 2007 I would sit with him at his kitchen table to discuss the awful state of American journalism. This photo is included in my '100 People I Photographed for the Creative Commons' set of my favorites shots out of the thousands of people I have photographed. (About David Shankbone)
The MacNab burial ground on Inchbuie near Killin on the River Dochart
Clan MacNab Burial Ground, w:Inchbuie, in the w:River Dochart near w:Killin
Francobollo commemorativo per i 100 anni dell'Esercito della Salvezza
Salvation Army Issue - 1865-1965 - One hundred years of service - 5-cent 1965 U.S. stamp.
Map Google (uchod) yn dangos lleoliad y croesau eglwysig yng Nghymru.
Cymraeg: Croesau Eglwysig yng Nghymru. English: Celtic crosses in Wales.
Tweevoudig Europees kampioen David Wilkie uit het Verenigd Koninkrijk
SPORT VEDETTES-PANINI 1974-Figurina n.189- WILKIE - GRAN BRETAGNA -NUOTO-Rec
Портрет молодика з виснаженим обличчям. Музей мистецтва Метрополітен.
IDF soldiers of the religious 97th "Netzah Yehuda" Infantry Battalion
IDF soldiers of the religious battalion of Nahal training for infantry service
Иллюстрация к доказательству теоремы Паскаля через теорему о 9 точках
English: Image for proving of Pascal's theorem with using theorem about 9 point on cubic curve Русский: Иллюстрация доказательства теоремы Паскаля через теорему о 9 точках на кубике
Le Dernier Miracle et la mort de saint Zénobe, par Sandro Botticelli.
Pygargue de Madagascar (Haliaeetus vociferoides) sur le lac Ravelobe.
Madagascar Fish Eagle, Lake Ravelobe, Ankarafantsika National Park, Madagascar Swarowski 80 HD 30 X, Coolpix P5100 (Adapter DCB) The Madagascar Fish Eagle (Haliaeetus vociferoides) is classified as "Critically Endangered". Its world population is estimated at around 120 breeding pairs (R. Watson in litt. 2010). The annual breeding success seems to be very low, but individual life expectancy is high. Ankarafantsika National Park is a good place to see Madagascar Fish Eagles in the wild. There are several watchtowers around Lake Ravelobe and eagles can also be seen from the roadside. This picture of a pair was taken in the evening, in bad light conditions.
The swamp supports globally important numbers of the blue-billed duck
The Blue-billed Duck (Oxyura australis) is a small Australian stiff-tailed duck, with both the male and female growing to a length of 40 cm (16 in). The male has a slate-blue bill which changes to bright-blue during the breeding season, hence the duck?s common name (see photo). The male has deep chestnut plumage during breeding season, reverting to a dark grey. The female retains black plumage with brown tips all year round. The duck is endemic to Australia's temperate regions, inhabiting natural inland wetlands and also artificial wetlands such as sewage ponds in large numbers. It can be difficult to observe due to its cryptic nature during its breeding season through autumn and winter. The male duck exhibits a complex mating ritual. The blue-billed duck is omnivorous, with a preference for small aquatic invertebrates. BirdLife International has classified this species as Near Threatened. Major threats include drainage of deep permanent wetlands, or their degradation as a result of introduced fish, peripheral cattle grazing, salinisation and lowering of ground water.
Cover of a 1977 ACDA report on the history of arms control agreements
English: Cover of the 1977 Edition of Arms Control and Disarmament Agrements, a publication of the U.S. Arms Control and Disarmament Agency.
Mormântul mitropolitului Galaction Cordun de la Mănăstirea Slătioara.
Română: Mănăstirea Slătioara
Johannes Bosboom : Vue intérieure d'une église avec scène de baptême.
Плоска (планарна) котушка індуктивності, виконана на друкованій платі
a planar inductor constituted by a spiral track on a printed circuit board and a planar magnetic core
Bob Foster reed in België zijn laatste Grand Prix, maar hij viel uit.
English: Bob Foster, a British former Grand Prix motorcycle road racer.
Old stone bridge with pedestrian refuges over River Culm at Culmstock
Old stone bridge with pedestrian refuges over River Culm at Culmstock, Devon.
Barack Obama, the 44th President of the United States, is left-handed
President Barack Obama signs H.R. 2751, the “FDA Food Safety Modernization Act,” in the Oval Office, Jan. 4, 2011. (Official White House Photo by Pete Souza) License on Flickr (2011-01-12): United States Government Work Flickr tags: WASHINGTON, DC, USA
Schiffsschleusensystem der Talsperre während der Bauphase (Nov. 2002)
Deutsch: Schiffsschleusen der Drei-Schluchten-Talsperre (Jangtsekiang) - Bauphase 2002 English: Ship locks of the Three Gorges Dam (Yangtze River) - building phase 2002 Français : Ecluses du barrage des Trois Gorges (Yangtsé) - phase de construction en 2002
Footbridge over the Avoca River in the centre of Charlton, March 2005
English: Photograph of recently completed local footbridge, taken with personal camera.
Dhaka Mohammedan starting XI before their first-ever match in Comilla
English: Dhaka Mohammedan Team Photo before facing Bashundhara Kings in Bangladesh Premier League.
Тејт Сент Ив (на десно), отворена во 1993, има поглед на Портмеор Бич
Zwei der fünf Hochhäuser auf der Freiberger Straße nach der Sanierung
Deutsch: Hochhäuser auf der Freiberger Straße in Dresden
FIAV historical.svgBandeira da República Popular do Congo (1970-1991)
Lauburu sul pomo de l'inpugnadura de na makila (baston tipico basco).
English: Lauburu, the Basque Cross Català: Lauburu Deutsch: Bild eines Baskischen Kreuzes (auch Lauburu), gezeichnet von Ariane Schmidt unter Benutzung von Inkscape. Español: Lauburu en el pomo de la empuñadura de un bastón]] Esperanto: Lauburu Euskara: Lauburu Français : Lauburu Polski: Lauburu Svenska: Lauburu
Gilbert Kipruto Kirwa nach seinem Sieg beim Hamburg-Halbmarathon 2009
Gilbert Kipruto Kirwa after winning the Hamburg Half Marathon in 2009
Lämmchenbrunnen von 1755, um 1896
(Fotografie von Carl Friedrich Fay)
Deutsch: Gehört zu dem Hause „Zum alten Burggrafen“ auf dem Markt. Im Jahre 1472 war hier der Born zum Lämmchen. Später wurde er mit Erde zugeworfen, der Brunnenstock blieb aber stehen und erhielt ein vergoldetes Lämmchen als Krönung.
Nástupište stanice Willesden Green smer centrum (Southbound platform)
Female Tawny Mining Bee collecting pollen from a Blackcurrant flower.
English: Female Tawny Mining Bee (Andrena Fulva) collecting pollen from a Blackcurrant (Ribes Nigrum) flower during April in southern England. MG 4856-2
„Münchner Domkreuzigung“, Altarbild des Kreuzaltars der Marienkapelle
Deutsch: Altarbild "Münchner Domkreuzigung" aus der alten Marienkapelle in einer Seitenkapelle des Chorumgangs der Frauenkirche in München
Phase of the j-invariant as a function of the nome q on the unit disk
English: Klein's J-invariant, phase portrait (600x600 pixels) Detailed description This image shows the phase of the J-invariant as a function of the square of the nome on the unit disk . That is, runs from 0 to along the edge of the disk. Black indicates regions where the phase is , green where the phase is zero, and red where the phase is . Zeros occur at the points where the colors wrap all the way around a point. Here, the tri-corner intersections show that the phase wraps around three times, for a total of , indicating that the zeros are of the third power: . The diamond-shaped patterns at the right side of the image are Moiré patterns, and are an artifact of the pixelization of the image (the strips are smaller than the size of a pixel; the color of the pixel is assigned according to the value of the function at the center of the pixel, rather than the average of values over the pixel). The fractal self-similarity of this function is that of the modular group; note that this function is a modular form. Every modular function will have this general kind of self-similarity. In this sense, this particular image clearly illustrates the tesselation of the Poincare disk by the modular group. Each quadrilateral visible in the image consists of a pair of hyperbolic triangles; each triangle is a fundamental domain of the modular group. Note in particular that one corner of each triangle lies on the edge of the disk, with exactly one exception: there is one exceptional very tiny triangle (about two pixels in size), taking the shape of an oval, that lies surrounding the center of the disk. One corner of that triangle is exactly at the center . See the image of the real part for a description of this exceptional triangle, as well as the funny exceptional tongue that goes with it. See also Image:J-inv-real.jpeg for the real part. It, and other related images, can be seen at http://www.linas.org/art-gallery/numberetic/numberetic.html Relevant Links Weierstrass elliptic functions Eisenstein series Q-series
Reklama na Southworthovo fotostudio na Hanover Street v Bostonu, 1868
Ad for Albert S. Southworth, photographer; Hanover St., Boston