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Triangular prism

In geometry, a triangular prism is a three-sided prism. A right triangular prism has rectangular sides, otherwise it is oblique. A uniform triangular prism is a right triangular prism with equilateral bases, square sides. Equivalently, it is a polyhedron of which two faces are parallel, while the surface normals of the other three are in the same plane; these three faces are parallelograms. All cross-sections parallel to the base faces are the same triangle. A right triangular prism is semiregular or, more a uniform polyhedron if the base faces are equilateral triangles, the other three faces are squares, it can be seen as a truncated trigonal hosohedron, represented by Schläfli symbol t. Alternately it can be seen as the Cartesian product of a triangle and a line segment, represented by the product x; the dual of a triangular prism is a triangular bipyramid. The symmetry group of a right 3-sided prism with triangular base is D3h of order 12; the rotation group is D3 of order 6. The symmetry group does not contain inversion.

The volume of any prism is the product of the area of the base and the distance between the two bases. In this case the base is a triangle so we need to compute the area of the triangle and multiply this by the length of the prism: V = 1 2 b h l, where b is the length of one side of the triangle, h is the length of an altitude drawn to that side, l is the distance between the triangular faces. A truncated right triangular prism has one triangular face truncated at an oblique angle; the volume of a truncated triangular prism with base area A and the three heights h1, h2, h3 is determined by V = 1 3 A. There are two full D2h symmetry facetings of a triangular prism, both with 6 isosceles triangle faces, one keeping the original top and bottom triangles, one the original squares. Two lower C3v symmetry faceting have one base triangle, 3 lateral crossed square faces, 3 isosceles triangle lateral faces; this polyhedron is topologically related as a part of sequence of uniform truncated polyhedra with vertex configurations, Coxeter group symmetry.

This polyhedron is topologically related as a part of sequence of cantellated polyhedra with vertex figure, continues as tilings of the hyperbolic plane. These vertex-transitive figures have reflectional symmetry; this polyhedron is topologically related as a part of sequence of cantellated polyhedra with vertex figure, continues as tilings of the hyperbolic plane. These vertex-transitive figures have reflectional symmetry. There are 4 uniform compounds of triangular prisms: Compound of four triangular prisms, compound of eight triangular prisms, compound of ten triangular prisms, compound of twenty triangular prisms. There are 9 uniform honeycombs that include triangular prism cells: Gyroelongated alternated cubic honeycomb, elongated alternated cubic honeycomb, gyrated triangular prismatic honeycomb, snub square prismatic honeycomb, triangular prismatic honeycomb, triangular-hexagonal prismatic honeycomb, truncated hexagonal prismatic honeycomb, rhombitriangular-hexagonal prismatic honeycomb, snub triangular-hexagonal prismatic honeycomb, elongated triangular prismatic honeycomb The triangular prism is first in a dimensional series of semiregular polytopes.

Each progressive uniform polytope is constructed vertex figure of the previous polytope. Thorold Gosset identified this series in 1900 as containing all regular polytope facets, containing all simplexes and orthoplexes. In Coxeter's notation the triangular prism is given the symbol −121; the triangular prism exists as cells of a number of four-dimensional uniform 4-polytopes, including: Wedge Weisstein, Eric W. "Triangular prism". MathWorld. Interactive Polyhedron: Triangular Prism Surface area and volume of a triangular prism

Y Sextantis

Y Sextantis is a W Ursae Majoris variable eclipsing contact binary star system located at 360 light years from the Sun, whose two component stars share a common outer layer. Because the two components share their outer layers as the components of W Ursae Majoris do, they have the same stellar classification, are classified as yellow F-type main sequence dwarfs; the components take 0.419822800 days to revolve around common barycentre. Orbital period variations would suggest the presence of additional perturbing objects, one of them substellar. Orbital period variations suggest; the authors He & Qian have estimated two possible orbital periods and minimum masses for unseen companions: the former cyclic oscillation would occur every 51.22 years being caused by a low-mass stellar companion, whereas the latter would consist in a 32.1 years period and the unseen object could be substellar

Gaby Willis

Gabrielle "Gaby" Willis is a fictional character from the Australian soap opera Neighbours, played by Rachel Blakely. The shows casting director spotted Blakely on the cover of a magazine and asked her to audition for the role of Gaby. Blakely received the part and she was introduced to the show during a period of roller-coaster ratings, she made her debut screen appearance as Gaby on 12 August 1991. Just over two years it was announced Blakely would be leaving Neighbours and she departed on 2 September 1994. Blakely reprised the role of Gaby to appear in the show's 20th anniversary episode, broadcast on 27 July 2005. Gaby is the eldest daughter of Pam Willis, she returns after taking a business course in Japan. Gaby has been described as being beautiful and the apple of her father's eye. Gaby opens her own fashion boutique, with the help and support from her boyfriend, fiancé, Glen Donnelly. Gaby and Glen's engagement ends. Gaby's business burns down and she becomes a punk to cope with her losses.

She befriends and dates a punk musician. Gaby takes a job as a barmaid, before becoming a secretary at the Robinson Corporation. Gaby becomes attracted to Wayne Duncan, with whom she shares a real chemistry. However, the couple are mismatched and they fight. Gaby and Wayne realise their relationship is destructive and they end it. Blakely called for her character to grow up. Gaby takes flying lessons and she falls for her instructor, Jack Flynn. Gaby becomes pregnant and Jack refuses to stand by her. Gaby gives birth to a son, named Zac; when Gaby has difficulty balancing her career and motherhood, she takes a less stressful job of running a Lassiter's Hotel in Darwin. Blakely was a successful model when she was spotted by the Neighbours casting director on the front cover of a magazine and invited to audition for the part of Gaby Willis; the casting director thought. The actress was introduced to the cast as Gaby in August 1991, alongside Scott Michaelson who played Gaby's brother, Brad. Of their casting, James Cockington of The Sydney Morning Herald said "Despite some roller-coaster ratings of late, Ten still believes there is life in Ramsay Street and is introducing some new, young residents this week.

Rachel Blakely, 23, Scott Michaelson, 20, conform to the teen hunk/spunk category that has made E Street such a fun place to visit. Gaby and Brad, as they will become better known, appear as a boutique owner and her brother."In October 1993, David Brown of TV Week reported Blakely would be leaving Neighbours, along with Michaelson and Natalie Imbruglia. Brown said. On 14 April 2005, Kris Green of Digital Spy reported Blakely had reprised her role of Gaby for the show's 20th anniversary episode and she appeared in the episode broadcast on 27 July 2005; when the Willis family were introduced to Neighbours, eldest daughter Gaby was said to be studying at a business school in Japan. She returned to Australia and came to live with her parents and Pam, in Ramsay Street. Gaby was reunited with her brother, Brad. A writer for the BBC described Gaby as being "the apple of her father's eye" and said her beauty was matched by her intelligence. Josephine Monroe, author of Neighbours: The First 10 Years said Gaby's "cascading dark hair" and model looks meant there was never a shortage of men after her.

Monroe opined. She said Gaby had "a knack with a sewing machine", which she put to use by making dresses for her friends and neighbours. Gaby decided to use her skills to make a profit and she opened her own boutique called Gabrielle's in the Lassiter's complex. Gaby begins dating Glen Donnelly, who becomes a source of support for her during the opening of her store, he encouraged her to capatalise on a client with a famous name and the boutique's takings rose. Following an argument, Gaby runs off with Guy Carpenter, but she is not serious about him and she returns to Glen, who proposes to her. Huggett revealed that Glen and Gaby do not end up getting married, saying "I don't want to give the game away, but it's pretty dramatic stuff, it all ends in tears." While repairing a roof at the Lassiter's Complex, Glen falls and is paralysed from the waist down, Gaby vows to support him. However, she was devastated. After her engagement to Glen is broken off and her fashion boutique burns down, Gaby turns into "the biggest rebel in Erinsborough."

A writer for Inside Soap said. Gaby befriends "outrageous punk" musician Zed as she believes he is the perfect man to party with. Zed gives Gaby a lot of support when she needs it. Zed tries to turn his friendship with Gaby into something more, but she turns him down in favour of Simon Hunter; when Gaby is raped by Simon, while on a date with him, she turns to Zed for his support. Gaby decides to date Zed as "a blatant act of defiance" against her father. McLaren explained "It never comes to anything, but Zed doesn't mind, he's happy just to have Gaby as a friend." Gaby takes a barmaid position at The Waterhole and she competes with Brad for the manager's job. A writer for Inside Soap said both siblings are convinced they are the right person for the job and try to prove this to Philip Martin. However, when Gaby issues an ultimatum to Philip