Pentagonal prism

In geometry, the pentagonal prism is a prism with a pentagonal base. It is a type of heptahedron with 7 faces, 15 edges, and 10 vertices.

As a semiregular (or uniform) polyhedron

If faces are all regular, the pentagonal prism is a semiregular polyhedron, more generally, a uniform polyhedron, and the third in an infinite set of prisms formed by square sides and two regular polygon caps. It can be seen as a truncated pentagonal hosohedron, represented by Schläfli symbol t{2,5}. Alternately it can be seen as the Cartesian product of a regular pentagon and a line segment, and represented by the product {5}x{}. The dual of a pentagonal prism is a pentagonal bipyramid.

The symmetry group of a right pentagonal prism is D_5h of order 20. The rotation group is D₅ of order 10.

Volume

The volume, as for all prisms, is the product of the area of the pentagonal base times the height or distance along any edge perpendicular to the base. For a uniform pentagonal prism with edges h the formula is

Characters of Chrono Cross

Chrono Cross (Japanese: クロノ・クロス, Hepburn: Kurono Kurosu) is a role-playing video game developed and published by Square (now Square Enix) for the PlayStation video game console. It is the successor to Chrono Trigger, which was released in 1995 for the Super Nintendo Entertainment System. While its predecessor, like most role-playing games at the time, only offered a handful of playable characters, Chrono Cross was notable for making 45 different characters available for recruitment over the course of the game, each with distinct backstory and speech patterns. Reception for the game from critics was very positive, with some journalists, such as GameSpot, even giving the game a perfect score. However, reception for the cast of characters was more mixed; some critics were impressed by the quantity, variety, and individuality offered by the characters, where others complained of an emphasis of "quantity over quality".

Creation and influences

Radical Dreamers

Pip (counting)

Pips are small but easily countable items. The term is used to describe the dots on dominoes and dice, the symbols that denote suits and value of playing cards, as the name for the small seeds of some fruit, and sometimes as a synonym for "dot" in morse code.

Dice

On dice, pips are small dots on each face of a common six-sided die. These pips are typically arranged in patterns denoting the numbers one through six. The sum of opposing faces traditionally adds up to seven. Pips are commonly colored black on white dice, and white on dice of other colors, although colored pips on white dice are not uncommon; Asian dice often have an enlarged red single pip for the "one" face, while the dice for the game Kismet feature black pips for 1 and 6, red pips for 2 and 5, and green pips for 3 and 4.

Dominoes

Dominoes use pips that are similar to dice. Each half of a domino tile can have anywhere from no pips to six pips arranged in the same manner to dice pips. Some sets designed for more than four players may have more than six pips.

Winter

Winter is the coldest season of the year in polar and temperate climates, between autumn and spring. Winter is caused by the axis of the Earth in that hemisphere being oriented away from the Sun. Different cultures define different dates as the start of winter, and some use a definition based on weather. When it is winter in the Northern Hemisphere, it is summer in the Southern Hemisphere, and vice versa. In many regions, winter is associated with snow and freezing temperatures. The moment of winter solstice is when the sun's elevation with respect to the North or South Pole is at its most negative value (that is, the sun is at its farthest below the horizon as measured from the pole), meaning this day will have the shortest day and the longest night. The earliest sunset and latest sunrise dates outside the polar regions differ from the date of the winter solstice, however, and these depend on latitude, due to the variation in the solar day throughout the year caused by the Earth's elliptical orbit (see earliest and latest sunrise and sunset).

Winter (Tori Amos song)

"Winter" is a song by American singer-songwriter and musician Tori Amos, first released in 1992. The song was written about Amos' relationship with her father, who is a minister.

Release history

"Winter" was first released as the fourth single from Amos' debut studio album Little Earthquakes. It was released on March 9, 1992 by EastWest Records in the UK and Atlantic Records on November 24 in North America.

The song also appears on Amos' 2003 compilation, Tales of a Librarian. The music video can be seen on the two currently available video collections: Tori Amos: Complete Videos 1991–1998 and Fade to Red.

The single was released globally in a variety of formats with slightly differing artwork and track listings. The most commonly available version is the United States release, which is labeled as a "limited edition" release. That version comes in a digipak case with a compartment in which a "handwritten lyrics" insert is contained. The far more rare UK limited edition release features covers that would later appear on the Crucify EP which was released in the United States.

The Four Seasons (Vivaldi)

The Four Seasons (Italian: Le quattro stagioni) is a group of four violin concerti by Italian composer Antonio Vivaldi, each of which gives a musical expression to a season of the year. They were written about 1723 and were published in 1725 in Amsterdam, together with eight additional violin concerti, as Il cimento dell'armonia e dell'inventione ("The Contest Between Harmony and Invention").

The Four Seasons is the best known of Vivaldi's works. Unusually for the time, Vivaldi published the concerti with accompanying poems (possibly written by Vivaldi himself) that elucidated what it was about those seasons that his music was intended to evoke. It provides one of the earliest and most-detailed examples of what was later called program music—music with a narrative element.

Vivaldi took great pains to relate his music to the texts of the poems, translating the poetic lines themselves directly into the music on the page. In the middle section of the Spring concerto, where the goatherd sleeps, his barking dog can be marked in the viola section. Other natural occurrences are similarly evoked. Vivaldi separated each concerto into three movements, fast-slow-fast, and likewise each linked sonnet into three sections. His arrangement is as follows: