A Derivation of an Upper Bound for the Number of Configurations of an n×n×n×n Rubik ’s Cube By David Smith 1. Introduction C4(n) is a formula for an upper bound of the number of distinguishable configurations of an n×n×n×n Rubik ’s Cube‚ which will be derived in this paper. It will be assumed that the reader is familiar with a 4-dimensional Rubik ’s Cube. Online‚ one can find the free computer program Magic Cube 4D‚ developed by Melinda Green‚ Don Hatch‚ and Jay Berkenbilt‚ which is a completely
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Sofronio H. Pasola‚ Jr. with the inspiration of Ronnie Pasola (his son). The Pasolas first tried the Game of the Generals on a chessboard. Even then‚ the pieces had no particular arrangement. There were no spies in the experimental game; but after Ronnie Pasola remembered the James Bond movies and Mata Hari‚ he added the spies. Making the pieces hidden was the idea of the Pasolas after remembering card games. The Game of the Generals’ public introduction was on February 28‚ 1973. After the game was
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Facts This piece of art was produced by Mijn Schatje is 2009. The piece is called Blu and its name can be interpreted as the name of the doll in the piece. This piece of art belonged to the pop and surrealist art movement. I think that the title of the piece‚ ‘Blu’ is the name of the doll in the work‚ but it could also represent the ‘blue-ness’ of the piece as there is a constant wash of blue‚ blue could also represent sadness and loneliness‚ which is also present in the piece through the dolls
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Throughout different time periods and civilizations come many different types of art that would never be comparable to those of another time or place. There are also the pieces that come from a completely different time and place‚ but yet they can still be compared to one another. The Torso of a God (Egyptian‚ New Kingdom‚ Dynasty 18‚ last decade of the reign of Amenhotep III‚ Granodiorite‚ 1359-1349 B.C.) and the Statue of Asklepios (Greek‚ Hellenistic period‚ Pentelic Marble‚ 2nd century B.C.)
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The piece that I have chosen is L’Estaque‚ 1885-90‚ by Pierre-Auguste Renoir. This painting is composed of oil on canvas. Viewing the piece‚ I believe that the mood it conveys is peace and serenity. The subject of this piece is a calm enclave in France‚ enhanced with a faint sailboat and relaxed fisherman. This is a landscape painting; therefore‚ the subject is relatively straightforward. L’Estaque conveys a tranquil fragment of life‚ one that has since been lost‚ or forgotten. It was 5:15 P.M
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true or not? Explain your answer‚ and use at least ONE piece of evidence from the text that supports your answer. PROMPT: Do you think Ender’s own view of himself‚ that he’s just like Peter‚ is true or not? Explain your answer‚ and use at least ONE piece of evidence from the text that supports your answer. PROMPT: Do you think Ender’s own view of himself‚ that he’s just like Peter‚ is true or not? Explain your answer‚ and use at least ONE piece of evidence from the text that supports your answer.
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rhythm‚ timbre‚ and form. The first piece of Stravinsky’s work that will be examined is “The Firebird” being performed by the YouTube Symphony Orchestra in 2011. This performance can be seen here https://www.youtube.com/watch?v=kd1xYKGnOEw. This piece begins with a deep melody of woodwinds that seems to just set the base of the introduction for the other instruments in the orchestra to build upon. At about one minute into this performance the texture of the piece changes with sharp notes that seem
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semester in Schaeffer Auditorium at 7:30 pm. The Department of Music performed thirteen pieces of music including Etude Op. 25‚ No. 1‚ Somebody‚ Somewhere from The Most Happy Fella‚ Concerto for Piccolo and Orchestra‚ Op. 50‚ and many more. To start out the night‚ Steven M. Paszkowski performed Frédéric Chopin’s Étude Op. 25‚ No. 1. Chopin was a polish composer of the Romantic period. There was harmony in this piece along with variation. The meter was ¾ and the dynamic was mezzo forte. Following Paszkowski
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The first piece of artwork I’ve decided to write about is "Falling Landscape IV" by Evon Streetman and was created in 1994. It was roughly the same height as me‚ and was nearly 4 feet wide. It was a large piece‚ which was wonderful for exaggerating the features and details. The medium used was cibachrome‚ which is a positive-to-positive process used to reproduce film transparencies on photographic paper. I think "Falling Landscape IV" was the most beautiful piece in the entire museum‚ and I enjoyed
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contemporary. One famous work includes a piece by Vincent van Gogh’s Wheat Fields after the Rain (The Plain of Auvers)‚ painted in 1890 in Gallery 8‚ Scaife Galleries of the museum. It was acquired through the generosity of the Sarah Mellon Scaige Family‚ and its acquisition number is 68.18. The painting’s dimensions are 73.34 x 92.39 x 8.89 cm‚ and it is oil on canvas. It is located with other Impressionistic and Post-Impressionistic paintings in the gallery‚ with other pieces such as Claude Monet’s The Sea
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