click links in text for more info


In the mathematical theory of tessellations, a prototile is one of the shapes of a tile in a tessellation. A tessellation of the plane or of any other space is a cover of the space by closed shapes, called tiles, that have disjoint interiors; some of the tiles may be congruent to one or more others. If S is the set of tiles in a tessellation, a set R of shapes is called a set of prototiles if no two shapes in R are congruent to each other, every tile in S is congruent to one of the shapes in R, it is possible to choose many different sets of prototiles for a tiling: translating or rotating any one of the prototiles produces another valid set of prototiles. However, every set of prototiles has the same cardinality, so the number of prototiles is well defined. A tessellation is said to be monohedral if it has one prototile. A set of prototiles is said to be aperiodic if every tiling with those prototiles is an aperiodic tiling, it is unknown whether there exists a single two-dimensional shape that forms the prototile of an aperiodic tiling, but not of any periodic tiling.

That is, the existence of a single-tile aperiodic prototile set is an open problem. The Socolar-Taylor tile forms two-dimensional aperiodic tilings, but is defined by combinatorial matching conditions rather than purely by its shape. In higher dimensions, the problem is solved: the Schmitt-Conway-Danzer tile is the prototile of a monohedral aperiodic tiling of three-dimensional Euclidean space, cannot tile space periodically

Curonian Spit National Park (Russia)

Curonian Spit National Park covers the Russian-owned southern 41 km of the 98 km long, curved Curonian Spit – a type of depositional sandbar. The spit separates the salt-water Baltic Sea from the freshwater Curonian Lagoon to the east; the southern portion of the spit lies within Zelenogradsky District in Russia. It is a UNESCO World Heritage Site shared by the two countries; the foundations of the spit were created about 15,000 BCE as the receding glaciers left the Baltic Sea behind, the sand dunes of the Curonian built on the glacial moraine. The actions of sea and wind build large dunes; the area is one of high biodiversity due to the many different ecological communities in close proximity to each other: beach, dune ridge, wetlands of various types and forests. The Curonian Spit is the second longest spit in the world, after the 110-km long Arabat Spit in the Sea of Azov; the park follows the spit from the Sambian Peninsula in the south to the border with Lithuania about 40 km north. The water in the lagoon averages 3.7 meters in depth, the water level of the lagoon is about 12 cm above that of the Baltic.

Birds and waterfowl are abundant, as the park has abundant wetlands and is on major migratory routes. 262 species of birds have been recorded in the park, 100 are known to nest and breed in the territory. The park is home to 46 species of mammals, including elk, European roe deer, wild boar, marten, raccoon dog, hare, red squirrel, beaver; the park has recorded over 290 species of terrestrial vertebrates, representing 80% of the species found in the Kaliningrad region. Plant life is varied: 889 species, hybrids and forms of wild vascular plants of 398 genera and 111 families. Curonian Spit National Park - Neighboring park to the north in Lithuania Protected areas of Russia List of spits Nature reserves of Russia UNESCO World Heritage Site - Curonian Spit listing Official Kurshskaya Kosa Guide - App for iPhone or Android

Antonio Pedrotti

Antonio Pedrotti was an Italian conductor and composer. He studied literature at the music at the conservatory in Rome. In 1924 he completed his composition studies under Ottorino Respighi and continued studying conducting with Bernardino Molinari. From 1938 to 1944 he was Molinari's assistant and co-director of Orchestra dell'Accademia Nazionale di Santa Cecilia, he collaborated with La Scala and l'Orchestra dell'Angelicum in Milan as well as with the Vienna State Opera and with soloists like Arturo Benedetti Michelangeli or David Oistrakh. According to the family tradition, he supported the musical life in his home town and became conductor of the philharmonic orchestra and director of the conservatory in Trento; as a composer he collaborated with the SAT man's chorus Trento. Since 1989, an international conducting competition takes place every year in that city in his honor. Pedrotti had a long association with orchestras in Czechoslovakia. From 1950 to 1972 he was a frequent guest conductor of the Czech Philharmonic, Prague Symphony Orchestra, Prague Radio Symphony Orchestra and Slovak Philharmonic, with whom he made a large number of outstanding performances and recordings.

With the Czech Philharmonic he collaborated more than forty times, including concerts in Switzerland and Great Britain. He was well respected for his interpretations of impressionistic and classical music, his way of working with the orchestra as well as his intellect and sense of facture and colour continued Václav Talich's tradition and played an important role in the development of the Czech Philharmonic. Sláma, František. Z Herálce do Šangrilá a zase nazpátek. Říčany: Orego. ISBN 80-86117-61-8. Czech Philharmonic. Prague: Czech Philharmonic. 1971. Evans Senior. "Czech Philharmonic". Music and Musicians: 16. František Sláma Archive. More on the history of the Czech Philharmonic between the 1940s and the 1980s: Conductors "Antonio Pedrotti" International Conducting Competition - Concorso internazionale per Direttori d'Orchestra A. Pedrotti Antonio Pedrotti conducts Czech Philharmonic, Prague 1953 on YouTube Pedrotti and the SAT man's chorus Trento

Kilroy Was Here (album)

Kilroy Was Here is the eleventh studio album by the rock band Styx, released on February 22, 1983. The album is named after a famous World War II graffiti,'Kilroy was here', it was the final album of original material to be released by the "classic" lineup of Dennis DeYoung, Tommy Shaw, James "J. Y." Young, John Panozzo, Chuck Panozzo. The album spawned two hit singles, the synth-pop "Mr. Roboto" which became one of their signature songs, the power ballad "Don't Let It End". Both of them were major hits in 1983, peaking at #3 and #6 respectively; the hard rocker "Heavy Metal Poisoning", fifth track on the album, begins with the backmasked Latin words "annuit cœptis, novus ordo seclorum". Translated from the Latin, these words mean " has favored our undertakings, a new order of the ages"; these are the two mottoes from the Great Seal of the United States on the reverse side of the United States one-dollar bill. The album is certified platinum by the RIAA; as of 2020, it is the last studio album by the band to be certified platinum.

The band created the album Kilroy Was Here as a mocking response to fundamentalist Christian groups and other anti-rock-music activists who had influenced the Arkansas State Senate to pass a bill requiring that all records containing backward masking be labeled as such by the manufacturer. Cited in the legislation were albums by The Beatles, Pink Floyd, Electric Light Orchestra and Styx. ELO made a similar response with their own 1983 album Secret Messages; the album's somewhat rock-operatic story tells of a future where rock music is outlawed by a fascist and theocratic government and the "MMM". The story's protagonist, Robert Orin Charles Kilroy, is a former rock star, imprisoned by MMM leader Dr. Everett Righteous, he escapes using a disguise when he becomes aware that a young musician, Jonathan Chance, is on a mission to bring rock music back. Kilroy Was Here was conceived by lead singer Dennis DeYoung as an album and accompanying stage show, which opened with a short film of the same name.

According to the episode of "Behind The Music" featuring Styx, the early part of the supporting tour was a financial disaster, due to the fact that Styx had booked small, theater-sized venues for a more intimate experience, while tour dates saw the group performing in large arenas to sold-out crowds. The album debuted at #10 on the Billboard 200 in its first week and sold over 1 million copies and peaked at #3 on the US charts. In an interview with the Chicago Tribune, James Young talked about the creative differences in the band, what led to their breakup: "Dennis wanted to do these soft, intimate love ballads, and, against the grain for me and Tommy Shaw, so our differences got magnified, because Dennis was insisting on going outside the boundaries we lived with. He's an assertive and opinionated guy."Despite the album's financial and chart success, after the Kilroy tour, the songs were not performed live by the band Styx in subsequent tours, until "Mr. Roboto" reappeared in full on May 30, 2018.

DeYoung does perform the songs "Mr. Roboto" and "Don't Let It End" during his solo tours. Three of the four videos for the album—"Mr. Roboto", "Don't Let It End", "Heavy Metal Poisoning"—were filmed at the same time and used footage from the minifilm. A fourth video, "Haven't We Been Here Before", was filmed a few months. Dennis DeYoung – vocals, keyboards Tommy Shaw – vocals and acoustic guitars James "JY" Young - vocals, electric guitars Chuck Panozzo – bass guitar John Panozzo – drums, percussion Steve Eisensaxophone Dan Barber – horn Mike Halpin – horn Michael Mossman – horn Mark Ohlson – horn Arranged & produced by Styx Engineers: Gary Loizzo, Will Rascati, Rob Kingsland Apprentice engineer: Jim Popko Mastering by Ted Jensen at Sterling Sound, NYC Album - Billboard Singles - Billboard Styx - Kilroy Was Here album review by Mike DeGagne, credits & releases at Styx - Kilroy Was Here album releases & credits at Styx - Kilroy Was Here album credits & user reviews at Styx - Kilroy Was Here album to be listened as stream at

The Umbrellas (jazz ensemble)

The Umbrellas are an Australian jazz ensemble formed in 1985 to play Peter Dasent's compositions. The group has published five full-length albums. All are still available. Sydney, Australia based, the group's style has been described as unpredictable, quirky and influenced by Italian film music; the band members improvise in order to flesh out the characters in each composition's "play". The Italian connection is reinforced by the Bravo Nino Rota tribute album and by founder Dasent himself; as he states in a Jazz Australia interview, "In 1976 my local cinema, in a moment of inspired programming unusual in Wellington, New Zealand, at the time, took to screening Fellini films on Sunday nights. I would watch these amazing creations, find myself singing the theme music all the way home; when I moved to Sydney in 1981 I heard Hal Wilner’s wonderful tribute album Amarcord Nino Rota, with the sublime piano solos by Jaki Byard, Bill Frisell’s interpretation of “Juliet Of The Spirits” and of course Carla Bley’s arrangement of 8 1/2.

By I’d realised I was listening to music that I would live with for the rest of my life." James Greening, trombone Andrew Robson, saxophone Zoe Hauptmann, bassist Toby Hall and vibes Ian Wilkie, marimba The Umbrellas Age of Elegance Soundtrack to the Passing Parade Bravo Nino Rota Lounge Suite Tango

List of snakes of Georgia (U.S. state)

This list needs pictures and descriptions for each snake listed to fit the goals of the Snake Project According to a 2012 study, Georgia has 15.67 snakes per square mile, surpassing Arizona's 15.2 for the largest number in the country. This is a list of the known snakes of Georgia. Worm Snake Scarlet Snake Black Racer Ringneck Snake Indigo Snake Corn Snake Rat Snake Mud Snake Rainbow Snake Eastern Hognose Snake Southern Hognose Snake Mole Kingsnake Eastern Kingsnake Milk Snake Scarlet Kingsnake Coachwhip Redbelly Water Snake Banded Water Snake Green Water Snake Northern Water Snake Brown Water Snake Rough Green Snake Pine Snake Striped Crayfish Snake Glossy Crayfish Snake Queen snake Pine Woods Snake Black Swamp Snake Brown Snake Red-bellied Snake Florida Brown Snake Southeastern Crowned Snake Central Florida Crowned Snake Eastern Ribbon Snake Eastern Garter Snake Rough Earth Snake Smooth Earth Snake Viper Copperhead Cottonmouth Eastern diamondback rattlesnake Timber rattlesnake Pigmy rattlesnake Coral Snake Coral Snake