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The Mandelbrot Fractal.  Fractals are complex geometric shapes that exhibit repeating patterns typified by self-similarity, or the tendency for the details of a shape to appear similar to the shape itself.  Often these shapes resemble patterns occurring naturally in the physical world, such as spiraling leaves, seemingly random coastlines, erosion and liquid waves.  Fractals are generated through surprisingly simple underlying mathematical expressions, producing subtle and surprising patterns.  The basic iterative expression for the Mandelbrot set is z = z-squared + c, operating in the complex (real, imaginary) number set, Mandelbrot set The Milky Way rises in the sky above the Toadstool Hoodoos near the Paria Rimrocks.  Rimrock Hoodoos, Grand Staircase - Escalante National Monument, Utah Notre Dame de Paris. Notre Dame de Paris ("Our Lady of Paris"), also known as Notre Dame Cathedral or simply Notre Dame, is a historic Roman Catholic Marian cathedral on the eastern half of the Ile de la Cite in the fourth arrondissement of Paris, France. Widely considered one of the finest examples of French Gothic architecture and among the largest and most well-known churches in the world ever built, Notre Dame is the cathedral of the Catholic Archdiocese of Paris Leaving the Louvre Museum, evening, Paris, Musee du Louvre Les Invalides, officially known as L'Hotel national des Invalides (The National Residence of the Invalids), is a complex of buildings in the 7th arrondissement of Paris, France, containing museums and monuments, all relating to the military history of France, as well as a hospital and a retirement home for war veterans, the building's original purpose, Hotel National des Invalides Jardin du Luxembourg.  The Jardin du Luxembourg, or the Luxembourg Gardens, is the second largest public park in Paris located in the 6th arrondissement of Paris, France. The park is the garden of the French Senate, which is itself housed in the Luxembourg Palace Notre Dame de Paris. Notre Dame de Paris ("Our Lady of Paris"), also known as Notre Dame Cathedral or simply Notre Dame, is a historic Roman Catholic Marian cathedral on the eastern half of the Ile de la Cite in the fourth arrondissement of Paris, France. Widely considered one of the finest examples of French Gothic architecture and among the largest and most well-known churches in the world ever built, Notre Dame is the cathedral of the Catholic Archdiocese of Paris La Sainte-Chapelle, The Holy Chapel, is one of the only surviving buildings of the Capetian royal palace on the Ile de la Cite in the heart of Paris, France. It was commissioned by King Louis IX of France to house his collection of Passion Relics, including the Crown of Thorns - one of the most important relics in medieval Christendom Ceiling art detail, Chateau de Versailles, Paris, France Tomb of Napolean Bonaparte in Les Invalides. Les Invalides, officially known as L'Hotel national des Invalides (The National Residence of the Invalids), is a complex of buildings in the 7th arrondissement of Paris, France, containing museums and monuments, all relating to the military history of France, as well as a hospital and a retirement home for war veterans, the building's original purpose, Hotel National des Invalides Art Seller along La Rive Gauche, the Left Bank, Paris. La Rive Gauch, the Left Bank, is the southern bank of the river Seine in Paris. Here the river flows roughly westward, cutting the city in two: looking downstream, the southern bank is to the left, and the northern bank (or Rive Droite) is to the right Eiffel Tower rises over the Trocadero place. The Trocadero, site of the Palais de Chaillot, is an area of Paris, France, in the 16th arrondissement, across the Seine from the Eiffel Tower Cimetiere du Montparnasse. Montparnasse Cemetery is in the Montparnasse quarter of Paris, part of the city's 14th arrondissement La Tour Eiffel. The Eiffel Tower is an iron lattice tower located on the Champ de Mars in Paris, named after the engineer Gustave Eiffel, who designed the tower in 1889 as the entrance arch to the 1889 World's Fair. The Eiffel tower is the tallest structure in Paris and the most-visited paid monument in the world Ile Saint-Louis, is one of two natural islands in the Seine river, in Paris, France. The island is named after King Louis IX of France (Saint Louis). The island is connected to the rest of Paris by bridges to both banks of the river and by the Pont Saint Louis to the Ile de la Cite Opera de Paris, Paris Opera, or simply Opera, is the primary opera company of Paris. It was founded in 1669 by Louis XIV as the Academie d'Opera Opera de Paris, Paris Opera, or simply Opera, is the primary opera company of Paris. It was founded in 1669 by Louis XIV as the Academie d'Opera The Wave in the North Coyote Buttes, an area of fantastic eroded sandstone featuring beautiful swirls, wild colors, countless striations, and bizarre shapes set amidst the dramatic surrounding North Coyote Buttes of Arizona and Utah. The sandstone formations of the North Coyote Buttes, including the Wave, date from the Jurassic period. Managed by the Bureau of Land Management, the Wave is located in the Paria Canyon-Vermilion Cliffs Wilderness and is accessible on foot by permit only The Second Wave at sunset. The Second Wave, a curiously-shaped sandstone swirl, takes on rich warm tones and dramatic shadowed textures at sunset. Set in the North Coyote Buttes of Arizona and Utah, the Second Wave is characterized by striations revealing layers of sedimentary deposits, a visible historical record depicting eons of submarine geology, Paria Canyon-Vermilion Cliffs Wilderness The Wave at Night, under a clear night sky full of stars.  The Wave, an area of fantastic eroded sandstone featuring beautiful swirls, wild colors, countless striations, and bizarre shapes set amidst the dramatic surrounding North Coyote Buttes of Arizona and Utah. The sandstone formations of the North Coyote Buttes, including the Wave, date from the Jurassic period. Managed by the Bureau of Land Management, the Wave is located in the Paria Canyon-Vermilion Cliffs Wilderness and is accessible on foot by permit only The Thinker (Le Penseur) is a bronze sculpture on marble pedestal by Auguste Rodin. now in the Musee Rodin in Paris. It depicts a man in sober meditation battling with a powerful internal struggle. It is often used to represent philosophy Eglise Saint-Eustache. The Church of St Eustace, Paris a church in the 1st arrondissement of Paris. Situated at the entrance to Paris's ancient markets (Les Halles) and the beginning of rue Montorgueil, St Eustace's is considered a masterpiece of late Gothic architecture Notre Dame de Paris. Notre Dame de Paris ("Our Lady of Paris"), also known as Notre Dame Cathedral or simply Notre Dame, is a historic Roman Catholic Marian cathedral on the eastern half of the Ile de la Cite in the fourth arrondissement of Paris, France. Widely considered one of the finest examples of French Gothic architecture and among the largest and most well-known churches in the world ever built, Notre Dame is the cathedral of the Catholic Archdiocese of Paris Abbey of Saint-Germain-des-Pres. The Benedictine Abbey of Saint-Germain-des-Pres, just beyond the outskirts of early medieval Paris, was the burial place of Merovingian kings of Neustria. The Abbey was founded in the 6th century by the son of Clovis I, Childebert I Institut de France. The Institut de France is a French learned society, grouping five academies, the most famous of which is the Academie francaise, Paris July Column in the Place de la Bastille. The Place de la Bastille is a square in Paris, where the Bastille prison stood until the 'Storming of the Bastille' and its subsequent physical destruction between 14 July 1789 and 14 July 1790 during the French Revolution. The square straddles 3 arrondissements of Paris, namely the 4th, 11th and 12th. The July Column (Colonne de Juillet) which commemorates the events of the July Revolution (1830) stands at the center of the square Royal Chapel of Versailles, dedicated to Saint Louis, patron saint of the Bourbons, the chapel was consecrated in 1710.  It was here that  Louis XVI of France was wed to Marie-Antoinette. The ceiling represents God the Father in His Glory Bringing to the World the Promise of Redemption and was painted by Antoine Coypel, Chateau de Versailles, Paris Notre Dame de Paris. Notre Dame de Paris ("Our Lady of Paris"), also known as Notre Dame Cathedral or simply Notre Dame, is a historic Roman Catholic Marian cathedral on the eastern half of the Ile de la Cite in the fourth arrondissement of Paris, France. Widely considered one of the finest examples of French Gothic architecture and among the largest and most well-known churches in the world ever built, Notre Dame is the cathedral of the Catholic Archdiocese of Paris Pantheon. The Pantheon is a building in the Latin Quarter in Paris. It was originally built as a church dedicated to St. Genevieve and to house the reliquary chasse containing her relics but now functions as a secular mausoleum containing the remains of distinguished French citizens Arc de Triomphe. The Arc de Triomphe (Arc de Triomphe de l'Etoile) is one of the most famous monuments in Paris. It stands in the centre of the Place Charles de Gaulle (originally named Place de l'Etoile), at the western end of the Champs-Elysees. The Arc de Triomphe (in English: "Triumphal Arch") honors those who fought and died for France in the French Revolutionary and the Napoleonic Wars, with the names of all French victories and generals inscribed on its inner and outer surfaces. Beneath its vault lies the Tomb of the Unknown Soldier from World War I. The monument was designed by Jean Chalgrin in 1806, and its iconographic program pitted heroically nude French youths against bearded Germanic warriors in chain mail. It set the tone for public monuments, with triumphant patriotic messages. The monument stands 50 metres (164 ft) in height, 45 m (148 ft) wide and 22 m (72 ft) deep Eglise de la Madeleine, a Roman Catholic church in the 8th arrondissement of Paris, designed in its present form as a temple to the glory of Napoleon's army Opera de Paris, Paris Opera, or simply Opera, is the primary opera company of Paris. It was founded in 1669 by Louis XIV as the Academie d'Opera Hotel de Ville.  The Hotel de Ville in Paris, France, is the building housing the City of Paris's administration. Standing on the place de l'Hotel de Ville (formerly the place de Greve) in the city's IVe arrondissement, it has been the location of the municipality of Paris since 1357 Gallery of Italian Painting, Musee du Louvre, Paris, France Eglise Saint-Sulpice. Saint-Sulpice is a Roman Catholic church in Paris, France, on the east side of the Place Saint-Sulpice, in the Luxembourg Quarter of the VIe arrondissement. At 113 metres long, 58 metres in width and 34 metres tall, it is only slightly smaller than Notre-Dame and thus the second largest church in the city Eglise Saint-Sulpice. Saint-Sulpice is a Roman Catholic church in Paris, France, on the east side of the Place Saint-Sulpice, in the Luxembourg Quarter of the VIe arrondissement. At 113 metres long, 58 metres in width and 34 metres tall, it is only slightly smaller than Notre-Dame and thus the second largest church in the city Musee National d'Art Moderne, in Centre Georges Pompidou. Centre Georges Pompidou (also known as the Pompidou Centre) houses the Bibliotheque publique d'information, a vast public library, the Musee National d'Art Moderne which is the largest museum for modern art in Europe, and IRCAM, a centre for music and acoustic research, Musee National dArt Moderne, Paris, France The Shepherd Faustulus Bringing Romulus and Remus to his Wife, Nicolas Mignard (1654), Musée du Louvre, Paris, Musee du Louvre Gallery in the Musée du Louvre, Paris, Musee du Louvre Madonna Enthroned with Saints Catherine and Rose of Alexandria and two angels, Pietro Perugino, 1489 - 1492, Musée du Louvre, Paris, Musee du Louvre Ceiling Detail, Musée du Louvre, Paris, Musee du Louvre City Dance, Country Dance, Pierre-Auguste Renoir, Musee d'Orsay, Paris, Musee dOrsay Eglise de Knokke, 1894, Camille Pissarro, Musee d'Orsay, Paris, Musee dOrsay Water Lily Pond, Green Harmony, 1899, Claude Monet, Musee d'Orsay, Paris, Musee dOrsay Entrance to the Port of La Rochelle, 1921, Paul Signac, Musee d'Orsay, Paris, Musee d'Orsay, Paris, Musee dOrsay La Voile Verte, 1904, Paul Signac, Musee d'Orsay, Paris, Musee dOrsay Les cyprès à Cagnes by Henri Edmond Cross, Musee d'Orsay, Paris, Musee dOrsay Palais du Luxembourg, Paris. Jardin du Luxembourg. The Jardin du Luxembourg, or the Luxembourg Gardens, is the second largest public park in Paris located in the 6th arrondissement of Paris, France. The park is the garden of the French Senate, which is itself housed in the Luxembourg Palace Pont Alexandre III, Paris Bassin de Latone, Basin of Leto, Chateau de Versailles, Paris   more ...

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Updated: October 16, 2021