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= = = Snub dodecadodecahedron = = = |
In geometry, the snub dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U. It is given a Schläfli symbol sr{5/2,5}, as a snub great dodecahedron. |
Cartesian coordinates for the vertices of a snub dodecadodecahedron are all the even permutations of |
with an even number of plus signs, where |
where τ = (1+)/2 is the golden mean and |
α is the positive real root of τα−α+2α−α−1/τ, or approximately 0.7964421. |
Taking the odd permutations of the above coordinates with an odd number of plus signs gives another form, the enantiomorph of the other one. |
The medial pentagonal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the snub dodecadodecahedron. It has 60 intersecting irregular pentagonal faces. |
= = = Earl Ray Tomblin = = = |
Earl Ray Tomblin (born March 15, 1952) is an American politician who served as the 35th Governor of West Virginia from 2011 to 2017 as a member of the Democratic Party. Prior to becoming governor, Tomblin served as President of the West Virginia Senate for almost 17 years. Tomblin became acting governor in November 2010 following Joe Manchin's election to the U.S. Senate. He won a special election in October 2011 to fill the unexpired term ending in January 2013 and was elected to a first full term as governor in November 2012. |
Tomblin was born in Logan County, West Virginia, and is the son of Freda M. (née Jarrell) and Earl Tomblin. His mother was 18 years old when he was born. He has a Bachelor of Science degree from West Virginia University where he was a member of Kappa Alpha Order and then went along to receive a Master of Business Administration degree from Marshall University. |
Tomblin was elected to the West Virginia House of Delegates in 1974, and reelected in 1976 and 1978. He won election to the Senate for the 7th district in 1980 and was subsequently re-elected every four years until his election as governor. |
Tomblin was elected on January 3, 1995, as the 48th President of the West Virginia Senate. Having served in the position for almost seventeen years, he is the longest serving Senate President in West Virginia's history. Tomblin became the first Lieutenant Governor of West Virginia upon creation of the honorary designation in 2000. |
As a senator, he represented the 7th Senate District encompassing Boone, Lincoln, Logan, and Wayne counties. |
Tomblin became acting governor when Joe Manchin resigned after being elected to fill the United States Senate seat of the late Senator Robert Byrd. Tomblin is the first person to serve as acting governor under West Virginia's current constitution. |
While acting governor, Tomblin also retained the title of Senate President, per the state constitution. However, he did not participate in legislative business or preside over the Senate while acting governor. |
In 2011, Tomblin stated his desire to run for the governorship. Following a ruling by the Supreme Court of Appeals on January 18, 2011, a special gubernatorial election was scheduled for October 4, 2011. Tomblin was successful in the Democratic Primary, beating a field of six contenders, while Morgantown businessman Bill Maloney emerged as the Republican nominee in the May 14 primary. He went on to win the general election against Maloney and was sworn in as governor on November 13, 2011. Immediately before taking the oath as governor, Tomblin officially resigned from both the offices of Senate President and state senator. |
Tomlin ran for a full term in 2012, and defeated Maloney in a rematch. |
In the 2016 presidential election, Tomblin endorsed fellow Democrat Hillary Clinton. |
Tomblin said that he is pro-life. Despite this, in March 2014, Tomblin vetoed a bill that would have banned abortions in West Virginia after 20 weeks, which he said was due to constitutionality issues. In March 2015, Tomblin again vetoed the bill, however his veto was overridden by the West Virginia legislature. |
A May 2013 survey by Republican strategist Mark Blankenship showed Tombin's job approval rating to be at 69 percent, unchanged from two months earlier. According to a poll conducted by Public Policy Polling in September 2013, Tomblin had an approval rating of 47 percent with 35 percent disapproving, up from 44 percent in 2011. |
Tomblin was married on September 8, 1979 to Joanne Jaeger, a native New Yorker and graduate of Marshall University, who served as the president of Southern West Virginia Community and Technical College from 1999 to 2015. They reside in Chapmanville and have one son, Brent. Tomblin attends the First Presbyterian Church of Logan. |
= = = Tony Award for Best Orchestrations = = = |
The Tony Award for Best Orchestrations is awarded to acknowledge the contributions of musical orchestrators in both musicals and plays. The award has been given since 1997. |
= = = Ditrigonal dodecadodecahedron = = = |
In geometry, the ditrigonal dodecadodecahedron (or ditrigonary dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U. It has extended Schläfli symbol b{5,5/2}, as a "blended great dodecahedron", and Coxeter diagram . It has 4 Schwarz triangle equivalent constructions, for example Wythoff symbol 3 | 5/3 5, and Coxeter diagram . |
Its convex hull is a regular dodecahedron. It additionally shares its edge arrangement with the small ditrigonal icosidodecahedron (having the pentagrammic faces in common), the great ditrigonal icosidodecahedron (having the pentagonal faces in common), and the regular compound of five cubes. |
Furthermore, it may be viewed as a facetted dodecahedron: the pentagonal faces may be inscribed within the dodecahedron's pentagons. Its dual, the medial triambic icosahedron, is a stellation of the icosahedron. |
It is topologically equivalent to a quotient space of the hyperbolic order-6 pentagonal tiling, by distorting the pentagrams back into regular pentagons. As such, it is a regular polyhedron of index two: |
= = = Great dodecahemidodecahedron = = = |
In geometry, the great dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as U. Its vertex figure is a crossed quadrilateral. |
Aside from the regular small stellated dodecahedron {/,5} and great stellated dodecahedron {/,3}, it is the only nonconvex uniform polyhedron whose faces are all non-convex regular polygons (star polygons), namely the star polygons {/} and {/}. |
It is a hemipolyhedron with 6 decagrammic faces passing through the model center. |
Its convex hull is the icosidodecahedron. It also shares its edge arrangement with the great icosidodecahedron (having the pentagrammic faces in common) and the great icosihemidodecahedron (having the decagrammic faces in common). |
There is some controversy on how to colour the faces of this polyhedron. Although the common way to fill in a polygon is to colour its whole interior, this can result in some filled regions hanging as membranes over empty space. Hence, "neo filling" is sometimes used instead as a more accurate filling. In neo filling, orientable polyhedra are filled traditionally, but non-orientable polyhedra have their faces filled with the modulo-2 method (only odd-density regions are filled in). |
= = = Small dodecahemicosahedron = = = |
In geometry, the small dodecahemicosahedron (or great dodecahemiicosahedron) is a nonconvex uniform polyhedron, indexed as U. Its vertex figure is a crossed quadrilateral. |
It is a hemipolyhedron with ten hexagonal faces passing through the model center. |
Its convex hull is the icosidodecahedron. It also shares its edge arrangement with the dodecadodecahedron (having the pentagrammic faces in common), and with the great dodecahemicosahedron (having the hexagonal faces in common). |
There is some controversy on how to colour the faces of this polyhedron. Although the common way to fill in a polygon is to just colour its whole interior, the middle of the pentagrams are over empty space, as can be seen from the picture of the great dodecahemicosahedron above. Hence, some, such as Jonathan Bowers, do not fill in the middle of the pentagram: this filling has been called "natural filling". In the natural filling, orientable polyhedra are filled traditionally, but non-orientable polyhedra have their faces filled with the modulo-2 method (only odd-density regions are filled in). |
= = = Richard Bone = = = |
Richard Bone (born February 3, 1952) is an American electronic musician. |
Born in Atlanta, Georgia, Bone began his professional musical career creating soundtracks and scores for several off-Broadway companies working in experimental theater. In 1979, he released with his band Bone the single "Pirate the Islands/Headlines Have It" before joining the new-wave band Shox Lumania in 1981. Bone then recorded a solo 7" entitled "Digital Days/Alien Girl" on and was subsequently signed to Survival Records in the UK where he released several LPs, EPs, singles and contributed to various compilation albums. His 1983 single "Joy of Radiation" reached No. 1 on the Hong Kong Dance Chart. |
Bone started the label Quirkworks Laboratory Discs in 1991, allowing him freedom to create music of a more experimental nature and retain control of his musical direction. Since then Bone has released over 25 recordings of new material and several collaborations and compilations. Of the new material recordings, three quickly rose to No. 1 on industry charts as well as receiving numerous other honors. In 2004 Bone's recording "The Reality Temples" was nominated for the 2004 New Age Reporter Lifestyle Music Awards' Best Electronic Album, his 2005 recording "Saiyuji" was nominated for the 2005 New Age Reporter Lifestyle Music Awards' Best Ambient Album, his 2007 recording "Infinite Plastic Creation" was awarded the 2007 New Age Reporter Lifestyle Music Awards' Best Electronic Album and his 2008 release "Sudden Departure" was nominated for the 2008 New Age Reporter LifeStyle Awards’ Best Ambient and Best Electronic Album. |
In 2016 Bone recorded a very limited-edition release on USB entitled "AERA" and the upcoming CD recording from the UK label Mega Dodo entitled "Age of Falconry", expected mid 2017. |
= = = Great dodecahemicosahedron = = = |
In geometry, the great dodecahemicosahedron (or small dodecahemiicosahedron) is a nonconvex uniform polyhedron, indexed as U. Its vertex figure is a crossed quadrilateral. |
It is a hemipolyhedron with ten hexagonal faces passing through the model center. |
Its convex hull is the icosidodecahedron. It also shares its edge arrangement with the dodecadodecahedron (having the pentagonal faces in common), and with the small dodecahemicosahedron (having the hexagonal faces in common). |
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The great dodecahemicosacron is the dual of the great dodecahemicosahedron, and is one of nine dual hemipolyhedra. It appears visually indistinct from the small dodecahemicosacron. |
Since the hemipolyhedra have faces passing through the center, the dual figures have corresponding vertices at infinity; properly, on the real projective plane at infinity. In Magnus Wenninger's "Dual Models", they are represented with intersecting prisms, each extending in both directions to the same vertex at infinity, in order to maintain symmetry. In practice the model prisms are cut off at a certain point that is convenient for the maker. Wenninger suggested these figures are members of a new class of stellation figures, called "stellation to infinity". However, he also suggested that strictly speaking they are not polyhedra because their construction does not conform to the usual definitions. |
The great dodecahemicosahedron can be seen as having ten vertices at infinity. |
= = = Pagri = = = |
Pagri or Phari (; ) is a town in Yadong County in the Tibet Autonomous Region, China near the border with Bhutan. the town had a population of 2,121. It is one of the highest towns in the world, being about above sea-level at the head of the Chumbi Valley. |
Thomas Manning, the first Englishman to reach Lhasa, visited Pagri from 21September until 5November 1811 and had this to say about his room in the town: "Dirt, dirt, grease, smoke. Misery, but good mutton." Pagri was of some military importance in the early 20th century when it was occupied by the British Tibet Expedition under Francis Younghusband in 1904. The Pagri Fortress ("Dzong") was located here and was important for the government as it stood between Tibet and Bhutan. Pagri was a staging area en route to Gyantse and ultimately Lhasa. |
During the summer of 1912, the 13th Dalai Lama met Agvan Dorzhiev at Phari Dzong and then accompanied him to the Samding Monastery, before returning to Lhasa after his exile in India. |
Thubten Ngodup, the current Nechung Oracle, was born in Phari in 1957. |
The houses are mostly made of Tibetan traditional stone and wood. The Pagri Valley lies in an alpine steppe zone on the south side, with an average annual temperature , and an extreme maximum temperature of . Annual precipitation is about , snow and ice melt forming rich water resources, shrubs and meadows development, a good place for the development of animal husbandry. Pagri is rich in minerals, wild animals, plants, and tourism resources. It is also a trading centre but due to geographical location is prone to natural disasters. Summer flash floods, mudslides, winter avalanches, snowstorms, etc. are common, and poor facilities makes it vulnerable to disaster. During the rainy season, water levels rise causing serious flooding, reducing soil quality and arable land every year, damaging the ecological environment and a threat to the inhabitants of Pagri. To the northeast of Pagri is Mount Jomolhari. |
Owing to its extreme altitude, Pagri has an alpine climate (Köppen "ETH") that is too cold to permit the growth of trees, even though the altitude is still marginally too low for the formation of permafrost. Example Mount Fuji in Japan, Uelen in Russia and Longyearbyen in Svalbard Norway. The winter is severe in spite of the fact that no month has daytime maxima below , and also very dry and long, extending as late as May. Snowfall, however, is rare because of the dryness. Summers, during which the great majority of precipitation occurs, are cool even at their warmest and consistently damp, even though the Himalayas prevent falls from ever being heavy. |
= = = Great icosihemidodecahedron = = = |
In geometry, the great icosihemidodecahedron (or great icosahemidodecahedron) is a nonconvex uniform polyhedron, indexed as U. Its vertex figure is a crossed quadrilateral. |
It is a hemipolyhedron with 6 decagrammic faces passing through the model center. |
Its convex hull is the icosidodecahedron. It also shares its edge arrangement with the great icosidodecahedron (having the triangular faces in common), and with the great dodecahemidodecahedron (having the decagrammic faces in common). |
There is some controversy on how to colour the faces of this polyhedron. Although the common way to fill in a polygon is to just colour its whole interior, this can result in some filled regions hanging as membranes over empty space. Hence, the "neo filling" is sometimes used instead as a more accurate filling. In the neo filling, orientable polyhedra are filled traditionally, but non-orientable polyhedra have their faces filled with the modulo-2 method (only odd-density regions are filled in). |
= = = Rainulf Trincanocte = = = |
Rainulf II, called Trincanocte, was the fourth Count of Aversa (1045–1048), the cousin of his immediate predecessor Asclettin and nephew of Rainulf Drengot, the founder of their family's fortunes in the Mezzogiorno. There was a succession crisis after the premature death of Asclettin and Guaimar IV of Salerno, as suzerain of Aversa, tried to impose his candidate on the Normans, but they elected Trincanocte and he prevailed in getting Guaimar's recognition too. In 1047, he was present at a council with Pandulf IV of Capua and Guaimar, where the former was returned to his princely position and the latter's great domain was broken up. The feudal titles of Rainulf and Drogo of Hauteville, count of Apulia, were confirmed by the Emperor Henry III and they were made his direct vassals. Within a year, Trincanocte died and was succeeded by his infant son Herman under the regency of his cousin Richard, whom he had originally spurned, believing him to be a dangerous rival. Soon, Herman was displaced (or worse) and Richard was count. |
= = = Todd Nauck = = = |
Todd Nauck is an American comic book artist and writer. Nauck is most notable for his work on "Friendly Neighborhood Spider-Man," "Young Justice" and his own creation, "Wildguard". |
Nauck's first assignment from Marvel Comics was writing, penciling and inking "Mutant Mishaps", a story that was published on the back cover of "What The--?!" #21 (September 1992). He subsequently wrote and illustrated the "Mutant Mishaps" story that appeared in "What The--?" #25 (Summer 1993). |
In early 1994, Todd was hired by Rob Liefeld's Extreme Studios of Image Comics when a friend from art school showed his "WildGuard" work to Dan Fraga at a comic book convention, who in turn showed it to Liefeld, which led to Nauck's first Image work. Nauck went on to draw such series as "Badrock and Co.", "New Men", "New Force", "Supreme", "Youngblood" and "Team Youngblood". By 1997, Nauck began work with DC Comics. After drawing several "Legion of Superheroes" stories, he helped launch the "Young Justice" series with writer Peter David. Nauck drew 53 issues of the 55 issue run of the series, including three double-sized issues and a portion of the "Young Justice/Spyboy" crossover mini-series. |
Nauck published his creator-owned series, "Wildguard", with Image Comics. The series was patterned after a reality television show competition, in which various wannabe superheroes competed for a spot on a new superhero team, and judged by a panel of judges, as on the television series "American Idol". |
Nauck's other work includes "Teen Titans" (Volume 3) #32-33, "Teen Titans Go!", "Friendly Neighborhood Spider-Man" #11-13 and 17-23, "American Dream" #1-5, S"pider-Man: the Clone Saga" #1-6, "Amazing Spider-Man" #628 and the covers for "X-Campus" #1-4. |
Nauck was the artist of the much-publicized five-page back-up story that appeared in "The Amazing Spider-Man" #583, which was published in January 2009, and featured a cameo appearance by then-President-elect Barack Obama. |
Nauck's art was featured in the eighth season finale of the reality television show "", which aired May 15, 2011. In the episode, he and colorist John Rauch, on behalf of Marvel Custom Solutions, designed life-sized Marvel Comics superheroes on the bedroom wall of the show's beneficiary, Patrick Sharrock, a 9-year-old boy with brittle bone disease, and depicted Sharrock himself as a superhero named Dr. Scorcher. They also provided similar art for the episode's scene transitions, which depicted Ty Pennington, Xzibit, and the rest of the show's cast as superheroes as well. |
Nauck would continue his work with Marvel Custom Solutions, teaming with writer C. B. Cebulski and kitchenware retailer Williams-Sonoma to raise awareness of child hunger for Share Our Strength in "Spider-Man and the Avengers" #1. The twelve-page story features Edwin Jarvis hosting a cooking demonstration interrupted by the Frightful Four. |
In 2012, Nauck signed on with Robert Kirkman's Skybound Entertainment at Image Comics to draw the second volume of the "Invincible" spin-off series, "Guarding the Globe", which ran for six issues before relaunching in 2013 as "Invincible Universe" which ran for twelve issues. |