alibayram/wikipedia-40-langs huggingface dataset:
Great icosihemidodecahedron

In geometry, the great icosihemidodecahedron (or great icosahemidodecahedron) is a nonconvex uniform polyhedron, indexed as U71. It has 26 faces (20 triangles and 6 decagrams), 60 edges, and 30 vertices.  Its vertex figure is a crossed quadrilateral.

It is a hemipolyhedron with 6 decagrammic faces passing through the model center.

Related polyhedra 

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).

Gallery

See also 
 List of uniform polyhedra

References

External links 
 
 Uniform polyhedra and duals

Uniform polyhedra
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.

Notes

References
Cuozzo, E. "Drengot, Rainulfo, detto Trincanotte (Trinclinocte, Drincanoctus), Dizionario Biografico degli Italiani.

1048 deaths
Italo-Normans
Counts of Aversa
Year of birth unknown
Icosidodecadodecahedron

In geometry, the icosidodecadodecahedron (or icosified dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U44. It has 44 faces (12 pentagons, 12 pentagrams and 20 hexagons), 120 edges and 60 vertices.  Its vertex figure is a crossed quadrilateral.

Related polyhedra 
It shares its vertex arrangement with the uniform compounds of 10 or 20 triangular prisms. It additionally shares its edges with the rhombidodecadodecahedron (having the pentagonal and pentagrammic faces in common) and the rhombicosahedron (having the hexagonal faces in common).

See also 
 List of uniform polyhedra
 Snub icosidodecadodecahedron

References

External links 
 

Uniform polyhedra
Nonconvex great rhombicosidodecahedron

In geometry, the nonconvex great rhombicosidodecahedron is a nonconvex uniform polyhedron, indexed as U67. It has 62 faces (20 triangles, 30 squares and 12 pentagrams), 120 edges, and 60 vertices. It is also called the quasirhombicosidodecahedron. It is given a Schläfli symbol rr{,3}.  Its vertex figure is a crossed quadrilateral.

This model shares the name with the convex great rhombicosidodecahedron, also known as the truncated icosidodecahedron.

Cartesian coordinates 
Cartesian coordinates for the vertices of a nonconvex great rhombicosidodecahedron are all the even permutations of

 (±1/τ2, 0, ±(2−1/τ))
 (±1, ±1/τ3, ±1)
 (±1/τ, ±1/τ2, ±2/τ)

where τ = (1+)/2 is the golden ratio (sometimes written φ).

Related polyhedra 

It shares its vertex arrangement with the truncated great dodecahedron, and with the uniform compounds of 6 or 12 pentagonal prisms. It additionally shares its edge arrangement with the great dodecicosidodecahedron (having the triangular and pentagrammic faces in common), and the great rhombidodecahedron (having the square faces in common).

Great deltoidal hexecontahedron 

The great deltoidal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the nonconvex great rhombicosidodecahedron. It is visually identical to the great rhombidodecacron. It has 60 intersecting cross quadrilateral faces, 120 edges, and 62 vertices.

It is also called a great strombic hexecontahedron.

See also 
 List of uniform polyhedra

References

External links 
 
 
 Uniform polyhedra and duals

Uniform polyhedra
Great rhombihexahedron

In geometry, the great rhombihexahedron (or great rhombicube) is a nonconvex uniform polyhedron, indexed as U21. It has 18 faces (12 squares and 6 octagrams), 48 edges, and 24 vertices. Its dual is the great rhombihexacron.  Its vertex figure is a crossed quadrilateral.

Orthogonal projections

Gallery

Related polyhedra 

It shares the vertex arrangement with the convex truncated cube. It additionally shares its edge arrangement with the nonconvex great rhombicuboctahedron (having 12 square faces in common), and with the great cubicuboctahedron (having the octagrammic faces in common).

It may be constructed as the exclusive or (blend) of three octagrammic prisms. Similarly, the small rhombihexahedron may be constructed as the exclusive or of three octagonal prisms.

Great rhombihexacron 

The great rhombihexacron is a nonconvex isohedral polyhedron. It is the dual of the uniform great rhombihexahedron (U21). It has 24 identical bow-tie-shaped faces, 18 vertices, and 48 edges.

It has 12 outer vertices which have the same vertex arrangement as the cuboctahedron, and 6 inner vertices with the vertex arrangement of an octahedron.

As a surface geometry, it can be seen as visually similar to a Catalan solid, the disdyakis dodecahedron, with much taller rhombus-based pyramids joined to each face of a rhombic dodecahedron.

See also 
 List of uniform polyhedra

References

 uniform polyhedra and duals

External links 
 

Uniform polyhedra
.243 Winchester Super Short Magnum

The 243 Winchester Super Short Magnum or 243 WSSM is a rifle cartridge introduced in 2003. It uses a .300 WSM (Winchester Short Magnum) case shortened and necked down to accept a .243in/6mm diameter bullet, and is a high velocity round based on ballistics design philosophies that are intended to produce a high level of efficiency. The correct name for the cartridge, as listed by the Sporting Arms and Ammunition Manufacturers' Institute (SAAMI), is 243 WSSM, without a decimal point.  Winchester has discontinued the manufacture of 243 WSSM ammunition.
As of the first half of 2016, Winchester/Olin did manufacture and release for sale some WSSM ammunition.  The product is only manufactured periodically, often at inconsistent intervals.

Design
The 243 WSSM is an addition to the Winchester Super Short Magnum (WSSM) family of cartridges, which also include the .223 WSSM and the .25 WSSM, and the idea behind the 243 WSSM was to develop a compact, higher velocity version of the well-established and internationally popular .243 Winchester unveiled by Winchester in 1955.  The 243 WSSM was first introduced in 2003.

The 243 WSSM's case is unusually short and fat in profile, contrasting markedly with most other rifle cartridges, and is intended to take advantage of what ballisticians have shown is the more uniform and efficient burning of propellant powder when it is held in a short, fat stack by the cartridge case.

Performance
In their ballistics tables, Winchester list a very high muzzle velocity of  with a  projectile for this cartridge. Based on Hodgdon reloading data typical velocities should range from approximately  with a  bullet to approximately  with a  bullet.  The percentage gain in performance over the older .243 Winchester is around 10% or less.

This cartridge is usually used for small game such as varminting, and used for animals as large as deer.

Advantages
Compared to other factory 6mm sporting cartridges the 243 WSSM is capable of functioning in the AR-15. Other factory produced 6mm cartridges like the 243 Win and 6mm Rem are both too long for the AR-15 and require the AR-10 platform.

The 243 WSSM is  shorter than the 243 Win, giving the 243 WSSM the ability to fit in a super-short action rifle. Thus 243 WSSM rifles can be lighter, have stiffer actions and have faster actions to cycle.

The 243 WSSM gives generally a 10% increase in velocity over the 243 Win.

See also
 List of rifle cartridges
 Table of handgun and rifle cartridges

References

 Cartridge Dimensions at Steves Pages

External links
243 WSSM – The Long-Awaited 6 mm "Answer"? By Bill Prudden
The 243 WSSM by Chuck Hawks
The Experts Agree The WSSMs are Winners! Browning
The 243 WSSM at Guns & Ammo
Hunting experiences with the 243 WSSM 243WSSM.com

Pistol and rifle cartridges
Winchester Super Short Magnum rifle cartridges
Great dodecicosahedron

In geometry, the great dodecicosahedron (or great dodekicosahedron) is a nonconvex uniform polyhedron, indexed as U63. It has 32 faces (20 hexagons and 12 decagrams), 120 edges, and 60 vertices. Its vertex figure is a crossed quadrilateral.

It has a composite Wythoff symbol, 3  ( ) |, requiring two different Schwarz triangles to generate it: (3  ) and (3  ). (3   | represents the great dodecicosahedron with an extra 12  pentagons, and 3   | represents it with an extra 20  triangles.)

Its vertex figure 6... is also ambiguous, having two clockwise and two counterclockwise faces around each vertex.

Related polyhedra 

It shares its vertex arrangement with the truncated dodecahedron. It additionally shares its edge arrangement with the great icosicosidodecahedron (having the hexagonal faces in common) and the great ditrigonal dodecicosidodecahedron (having the decagrammic faces in common).

Gallery

See also 
 List of uniform polyhedra

References

External links 
 

Uniform polyhedra
Tony Award for Best Direction of a Play

The Tony Award for Best Direction of a Play has been given since 1960.  Before 1960 there was only one award for both play direction and musical direction, then in 1960 the award was split into two categories: Dramatic and Musical.  In 1976 the Dramatic category was renamed to Play.  For pre-1960 direction awards please reference Tony Award for Best Director.

Winners and nominees

1960s

1970s

1980s

1990s

2000s

2010s

2020s

Multiple wins

 6 Wins
 Mike Nichols

 3 Wins
 Jerry Zaks

 2 Wins
 Peter Brook
 Stephen Daldry
 John Dexter
 Marianne Elliott
 Gerald Gutierrez
 Peter Hall
 Sam Mendes
 Jack O'Brien
 Gene Saks

Multiple nominations

 10 Nominations
 Mike Nichols

 8 Nominations
 Peter Hall
 Daniel J. Sullivan

 6 Nominations
 George C. Wolfe

 5 Nominations
 Joe Mantello
 Marshall W. Mason
 Lloyd Richards
 Alan Schneider
 Bartlett Sher
 Matthew Warchus

 4 Nominations
 Michael Blakemore
 David Leveaux
 Gregory Mosher
 Jack O'Brien
 Gene Saks

 3 Nominations
 Stephen Daldry
 Gordon Davidson
 Howard Davies
 John Dexter
 Marianne Elliott
 Michael Grandage
 Gerald Gutierrez
 Kenny Leon
 Trevor Nunn
 José Quintero
 Jerry Zaks

 2 Nominations
 Joseph Anthony
 A. J. Antoon
 Melvin Bernhardt
 Peter Brook
 Arvin Brown
 John Caird
 Scott Ellis
 Richard Eyre
 Robert Falls
 Athol Fugard
 John Gielgud
 Rupert Goold
 Ulu Grosbard
 Tyrone Guthrie
 Joseph Hardy
 Ivo van Hove
 Doug Hughes
 Garry Hynes
 Nicholas Hytner
 Pam MacKinnon
 Jamie Lloyd
 Patrick Marber
 Sam Mendes
 Robert Moore
 Arthur Penn
 Stephen Porter
 Ellis Rabb
 Anna D. Shapiro
 John Tiffany
 Clifford Williams
 Noel Willman

Female winners

Only 6 women have won this award:

 Garry Hynes – The Beauty Queen of Leenane (1998)
 Mary Zimmerman – Metamorphoses (2002)
 Anna D. Shapiro – August: Osage County (2008)
 Pam MacKinnon – Who's Afraid of Virginia Woolf? revival (2013)
 Marianne Elliott – War Horse (2011) (shared with Tom Morris) and The Curious Incident of the Dog in the Night-Time (2015), making her the only woman to win this award more than once
 Rebecca Taichman – Indecent (2017)

See also
 Tony Award for Best Direction of a Musical
 Drama Desk Award for Outstanding Director of a Play
 Laurence Olivier Award for Best Director
 List of Tony Award-nominated productions

References

External links
 Tony Award for Direction of a Play ibdb
 Tony Awards official site

Tony Awards
Awards established in 1960
1960 establishments in the United States
Great rhombidodecahedron

In geometry, the great rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U73. It has 42 faces (30 squares, 12 decagrams), 120 edges and 60 vertices. Its vertex figure is a crossed quadrilateral.

Related polyhedra

It shares its vertex arrangement with the truncated great dodecahedron and the uniform compounds of 6 or 12 pentagonal prisms. It additionally shares its edge arrangement with the nonconvex great rhombicosidodecahedron (having the square faces in common), and with the great dodecicosidodecahedron (having the decagrammic faces in common).

Gallery

See also 
 List of uniform polyhedra

References

External links 
 

Uniform polyhedra
Inverted snub dodecadodecahedron

In geometry, the inverted snub dodecadodecahedron (or vertisnub dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U60. It is given a Schläfli symbol sr{5/3,5}.

Cartesian coordinates 
Cartesian coordinates for the vertices of an inverted snub dodecadodecahedron are all the even permutations of
 (±2α, ±2, ±2β),
 (±(α+β/τ+τ), ±(-ατ+β+1/τ), ±(α/τ+βτ-1)),
 (±(-α/τ+βτ+1), ±(-α+β/τ-τ), ±(ατ+β-1/τ)),
 (±(-α/τ+βτ-1), ±(α-β/τ-τ), ±(ατ+β+1/τ)) and
 (±(α+β/τ-τ), ±(ατ-β+1/τ), ±(α/τ+βτ+1)),
with an even number of plus signs, where
 β = (α2/τ+τ)/(ατ−1/τ),
where τ = (1+)/2 is the golden mean and
α is the negative real root of τα4−α3+2α2−α−1/τ, or approximately −0.3352090.
Taking the odd permutations of the above coordinates with an odd number of plus signs gives another form, the enantiomorph of the other one.

Related polyhedra

Medial inverted pentagonal hexecontahedron

The medial inverted pentagonal hexecontahedron (or midly petaloid ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform inverted snub dodecadodecahedron. Its faces are irregular nonconvex pentagons, with one very acute angle.

Proportions

Denote the golden ratio by , and let  be the largest (least negative) real zero of the polynomial . Then each face has three equal angles of , one of  and one of . Each face has one medium length edge, two short and two long ones. If the medium length is , then the short edges have length 
,
and the long edges have length
.
The dihedral angle equals . The other real zero of the polynomial  plays a similar role for the medial pentagonal hexecontahedron.

See also 
 List of uniform polyhedra
 Snub dodecadodecahedron

References
 p. 124

External links 
 
 

Uniform polyhedra
Great snub dodecicosidodecahedron

In geometry, the great snub dodecicosidodecahedron (or great snub dodekicosidodecahedron) is a nonconvex uniform polyhedron, indexed as U64. It has 104 faces (80 triangles and 24 pentagrams), 180 edges, and 60 vertices. It has Coxeter diagram . It has the unusual feature that its 24 pentagram faces occur in 12 coplanar pairs.

Related polyhedra 

It shares its vertices and edges, as well as 20 of its triangular faces and all its pentagrammic faces, with the great dirhombicosidodecahedron, (although the latter has 60 edges not contained in the great snub dodecicosidodecahedron). It shares its other 60 triangular faces (and its pentagrammic faces again) with the great disnub dirhombidodecahedron.

The edges and triangular faces also occur in the compound of twenty octahedra. In addition, 20 of the triangular faces occur in one enantiomer of the compound of twenty tetrahemihexahedra, and the other 60 triangular faces occur in the other enantiomer.

Gallery

See also 
 List of uniform polyhedra

References

External links 
 

Uniform polyhedra
Great inverted snub icosidodecahedron

In geometry, the great inverted snub icosidodecahedron (or great vertisnub icosidodecahedron) is a uniform star polyhedron, indexed as U69. It is given a Schläfli symbol sr{,3}, and Coxeter-Dynkin diagram . In the book Polyhedron Models by Magnus Wenninger, the polyhedron is misnamed great snub icosidodecahedron, and vice versa.

Cartesian coordinates 
Cartesian coordinates for the vertices of a great inverted snub icosidodecahedron are all the even permutations of
 (±2α, ±2, ±2β),
 (±(α−βτ−1/τ), ±(α/τ+β−τ), ±(−ατ−β/τ−1)),
 (±(ατ−β/τ+1), ±(−α−βτ+1/τ), ±(−α/τ+β+τ)),
 (±(ατ−β/τ−1), ±(α+βτ+1/τ), ±(−α/τ+β−τ)) and
 (±(α−βτ+1/τ), ±(−α/τ−β−τ), ±(−ατ−β/τ+1)),
with an even number of plus signs, where
 α = ξ−1/ξ
and
 β = −ξ/τ+1/τ2−1/(ξτ),
where τ = (1+)/2 is the golden mean and
ξ is the greater positive real solution to ξ3−2ξ=−1/τ, or approximately 1.2224727.
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 circumradius for unit edge length is

where  is the appropriate root of . The four positive real roots of the sextic in 

are the circumradii of the snub dodecahedron (U29), great snub icosidodecahedron (U57), great inverted snub icosidodecahedron (U69), and great retrosnub icosidodecahedron (U74).

Related polyhedra

Great inverted pentagonal hexecontahedron 

The great inverted pentagonal hexecontahedron (or petaloidal trisicosahedron) is a nonconvex isohedral polyhedron. It is composed of 60 concave pentagonal faces, 150 edges and 92 vertices.

It is the dual of the uniform great inverted snub icosidodecahedron.

Proportions

Denote the golden ratio by . Let  be the smallest positive  zero of the polynomial . Then each pentagonal face has four equal angles of  and one angle of . Each face has three long and two short edges. The ratio  between the lengths of the long and the short edges is given by
. 
The dihedral angle equals . Part of each face lies inside the solid, hence is invisible in solid models. The other two zeroes of the polynomial  play a similar role in the description of the great pentagonal hexecontahedron and the great pentagrammic hexecontahedron.

See also 
 List of uniform polyhedra
 Great snub icosidodecahedron
 Great retrosnub icosidodecahedron

References
 p. 126

External links 
 
 

Uniform polyhedra
Prajavani

Prajavani (Kannada:Voice of the People) is a leading Kannada-language broadsheet daily newspaper published in Karnataka, India. Having a readership of over 2.13 million, it is one of the largest circulated newspapers in the state.

History and ownership
Prajavani was founded in 1948 in Bangalore by K.N. Guruswamy. The Printers (Mysore) Private Limited, the company which owns the newspaper, continues to be privately held by members of the founding family.

Stance
Prajavani (PV) has a history of being a politically independent newspaper, although it tends to opine with a liberal tilt. It is known for espousing the causes of Dalits, encouraging women's empowerment and taking pro-poor positions on economic issues. It has managed to maintain an independent position, despite an increasingly polarized media landscape in Karnataka. Prajavani uses the tagline "the most trusted Kannada daily newspaper", which appears below its masthead.

Position in the market
Prajavani was the leading Kannada newspaper for decades, until it was overtaken in circulation by Vijaya Karnataka (VK) in 2004. The gulf between PV and the upstart VK became huge for a while, but the two newspapers appear to be competing much more closely as of 2014, with PV having significantly recovered ground according to industry numbers. Some analysts have also attributed this to the launch of Vijaya Vani, by the original owner of Vijaya Karnataka, Vijay Sankeshwar and his VRL Group, which has apparently eaten into the readership of Vijaya Karnataka. Other regional competitors include Udayavani, Varthabharathi, Kannada Prabha and Samyukta Karnataka.

Sister publications
 Deccan Herald, a daily English newspaper
 Sudha, a Kannada weekly magazine
 Mayura, a Kannada monthly magazine

See also
 List of Kannada-language newspapers
 List of Kannada-language magazines
 List of newspapers in India
 Media in Karnataka
 Media of India

References

External links 
 
 https://web.archive.org/web/20081206111259/http://prajavaniepaper.com/
 Prajavani News Paper History
 http://mruc.net/uploads/posts/a27e6e912eedeab9ef944cc3315fba15.pdf

Kannada-language newspapers
Newspapers published in Bangalore
Newspapers established in 1948
1948 establishments in India
Snub icosidodecadodecahedron

In geometry, the snub icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U46. It has 104 faces (80 triangles, 12 pentagons, and 12 pentagrams), 180 edges, and 60 vertices. As the name indicates, it belongs to the family of snub polyhedra.

The circumradius of the snub icosidodecadodecahedron with unit edge length is

where ρ is the plastic constant, or the unique real root of .

Cartesian coordinates 
Cartesian coordinates for the vertices of a snub icosidodecadodecahedron are all the even permutations of
 (±2α, ±2γ, ±2β),
 (±(α+β/τ+γτ), ±(-ατ+β+γ/τ), ±(α/τ+βτ-γ)),
 (±(-α/τ+βτ+γ), ±(-α+β/τ-γτ), ±(ατ+β-γ/τ)),
 (±(-α/τ+βτ-γ), ±(α-β/τ-γτ), ±(ατ+β+γ/τ)) and
 (±(α+β/τ-γτ), ±(ατ-β+γ/τ), ±(α/τ+βτ+γ))
with an even number of plus signs, where τ = (1+)/2 is the golden ratio; ρ is the plastic constant, or the unique real solution to ρ3=ρ+1;
 α = ρ+1 = ρ3;
 β = τ2ρ4+τ; and
 γ = ρ2+τρ.
Taking the odd permutations of the above coordinates with an odd number of plus signs gives another form, the enantiomorph of the other one.

Related polyhedra

Medial hexagonal hexecontahedron

The medial hexagonal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform snub icosidodecadodecahedron.

See also 
 List of uniform polyhedra

References

External links 
 

Uniform polyhedra
Herman, Count of Aversa

Herman (fl. c. 1050) was the son of Rainulf Trincanocte, count of Aversa (1045–1048), whom he succeeded. He was only an infant then and he was put under the regency of his father's cousin Richard. Within two years, he had disappeared from the scene and Richard was count. His fate is a mystery, though it is not hard to imagine that, as an obstacle to power, he was disposed of in the most efficient manner.

Sources
Norwich, John Julius. The Normans in the South, 1016–1130. London: Longmans, 1967.
Chalandon, Ferdinand. Histoire de la domination normande en Italie et en Sicile. Paris: 1907.

External links

Italo-Normans
Counts of Aversa
11th-century Italian nobility
Small retrosnub icosicosidodecahedron

In geometry, the small retrosnub icosicosidodecahedron (also known as a retrosnub disicosidodecahedron, small inverted retrosnub icosicosidodecahedron, or retroholosnub icosahedron) is a nonconvex uniform polyhedron, indexed as . It has 112 faces (100 triangles and 12 pentagrams), 180 edges, and 60 vertices. It is given a Schläfli symbol sr{⁵/₃,³/₂}.

The 40 non-snub triangular faces form 20 coplanar pairs, forming star hexagons that are not quite regular. Unlike most snub polyhedra, it has reflection symmetries.

George Olshevsky nicknamed it the yog-sothoth (after the Cthulhu Mythos deity).

Convex hull 

Its convex hull is a nonuniform truncated dodecahedron.

Cartesian coordinates 
Cartesian coordinates for the vertices of a small retrosnub icosicosidodecahedron are all the even permutations of

 (±(1-ϕ−α), 0, ±(3−ϕα))
 (±(ϕ-1−α), ±2, ±(2ϕ-1−ϕα))
 (±(ϕ+1−α), ±2(ϕ-1), ±(1−ϕα))
where ϕ = (1+)/2 is the golden ratio and α = .

See also 
 List of uniform polyhedra
 Small snub icosicosidodecahedron

References

External links 
 
 

Uniform polyhedra
Great retrosnub icosidodecahedron

In geometry, the great retrosnub icosidodecahedron or great inverted retrosnub icosidodecahedron is a nonconvex uniform polyhedron, indexed as . It has 92 faces (80 triangles and 12 pentagrams), 150 edges, and 60 vertices. It is given a Schläfli symbol

Cartesian coordinates 
Cartesian coordinates for the vertices of a great retrosnub icosidodecahedron are all the even permutations of
 (±2α, ±2, ±2β),
 (±(α−βτ−1/τ), ±(α/τ+β−τ), ±(−ατ−β/τ−1)),
 (±(ατ−β/τ+1), ±(−α−βτ+1/τ), ±(−α/τ+β+τ)),
 (±(ατ−β/τ−1), ±(α+βτ+1/τ), ±(−α/τ+β−τ)) and
 (±(α−βτ+1/τ), ±(−α/τ−β−τ), ±(−ατ−β/τ+1)),
with an even number of plus signs, where
 α = ξ−1/ξ
and
 β = −ξ/τ+1/τ2−1/(ξτ),
where τ = (1+)/2 is the golden mean and
ξ is the smaller positive real root of ξ3−2ξ=−1/τ, namely

 

Taking the odd permutations of the above coordinates with an odd number of plus signs gives another form, the enantiomorph of the other one. Taking the odd permutations with an even number of plus signs or vice versa results in the same two figures rotated by 90 degrees.

The circumradius for unit edge length is

where  is the appropriate root of . The four positive real roots of the sextic in 

are the circumradii of the snub dodecahedron (U29), great snub icosidodecahedron (U57), great inverted snub icosidodecahedron (U69), and great retrosnub icosidodecahedron (U74).

See also 
 List of uniform polyhedra
 Great snub icosidodecahedron
 Great inverted snub icosidodecahedron

References

External links 
 

Uniform polyhedra
Troullos

Troullos, also known as Trullos, is the archaeological site of an ancient Minoan settlement on Crete. The Troullos site is the easternmost section of the ancient settlement at Archanes.

Archaeology
Trullos was first excavated by Sir Arthur Evans, later by Spyridon Marinatos and most recently by J. and E. Sakellarakis. The site was in use from Middle Minoan II until late Minoan I.

Architecture
 Paved courtyards
 Middle Minoan II, Middle Minoan III and Late Minoan I multiple-storeyed buildings
 Late Minoan I house, including a light-well
 Clay-brick partition walls (building internals)
 Ashlar walls (building internals)
 Wall-paintings on plaster

Artifacts
Among the movable artifacts at Troullos:
 Polychrome Kamares ware
 Terracotta figurines
 Tripod offering tables
 Beak-spouted jugs
 The Archanes Ladle, a translucent alabaster ladle with Linear A inscriptions labelled TLZa1 by Godart and Olivier - discovered by Evans and believed to be from within Middle Minoan III-Late Minoan IA (A stunning photograph of this piece is available in Sakellarakis' guidebook to Archanes)
 Marble pestles
 Ritual steatite axe
 Stone bird's nest vases
 Porphyrite conical rhyton
 Two bull's head rhytons

References

Further reading
 Sakellarakis, J. and E. 1991 Crete Archanes  (guidebook)

Heraklion (regional unit)
Minoan sites in Crete
Populated places in ancient Greece
Former populated places in Greece
Knossos
HMT

HMT may refer to:

Science

 Hexamethylenetetramine
 Histamine N-methyltransferase
 Histone methyltransferase
 Host modulatory therapy

Places

 Ham Street railway station, in England
 Hang Mei Tsuen stop, Hong Kong
 Hemet-Ryan Airport, California, United States

Organizations and Companies

 HMT Limited (Hindustan Machine Tools Limited), an Indian watch manufacturer
 Hochschule für Musik und Theater Rostock, a music and theatre school in Germany
 Zurich School of Music, Drama, and Dance, later merged into Zurich University of the Arts

Other

 Hamtai language, spoken in Papua New Guinea
 Royal Navy ship prefixes:
 His Majesty's Trawler (see trawlers of the Royal Navy)
 Hired Military Transport, troopship
 ship prefixes for His Majesty's Transport/Troopship/Tug 
 Abbreviation for HM Treasury
Allegheny West

Allegheny West is the name of two places in the United States:

 Allegheny West, Philadelphia, a neighborhood in Philadelphia, Pennsylvania
 Allegheny West (Pittsburgh), a neighborhood in Pittsburgh, Pennsylvania
Parit Sulong Bridge

Parit Sulong Bridge () is a famous bridge in Parit Sulong, Batu Pahat District, Johor, Malaysia and the site of a battle during World War II.

History

Construction
The construction of the bridge began in 1925 and it was completed in 1929. The late Almarhum Sultan Ibrahim of Johor later officiated the opening of the bridge in 1930. The construction of the bridge with the curve shape at the middle for the purpose of convenient passage for bauxite ore barge from Seri Medan. 

Anecdotal accounts by local people also reported the late Almarhum Sultan Ibrahim of Johor has shaking one of the bridge structure with intention for examination of bridge firm.

The Battle of Parit Sulong Bridge

During World War II, the battle of Parit Sulong Bridge between the British and Imperial Japanese Army took place on January 21, 1942.

End of the old bridge

In 1993 the Johor state government decided to demolish the old bridge and replace it. The old bridge was finally torn down in 1994. The new bridge was constructed on 1995 and completed in 1997.

References
Adopted from Jambatan Parit Sulong - Buku Rekod Malaysia Edisi Kedua, Ghulam Jie M Khan

Batu Pahat District
Bridges in Johor
Bridges completed in 1929
Bridges completed in 1997
Juana Manuel

Juana Manuel (1339 – 27 March 1381) was Queen of Castile from 1369 until 1379 by marriage to king Henry II of Castile. She was also the heiress of Escalona, Villena, Peñafiel and Lara, as well as Lady of Biscay.

Family 

She was the daughter of Juan Manuel, Prince of Villena (1282–1348) and his second wife Blanca Núñez de Lara de La Cerda. Her mother Blanca (d. 1347) was a descendant of the lords of Biscay and of Lara and of Alfonso X's eldest son, Fernando de la Cerda. She was the last undisputably legitimate member of the House of Ivrea.

Marriage 

Her father had been for five years a serious enemy of King Alfonso XI of Castile, his former protégé, and the king wished to neutralize or absorb the might of the Peñafiel family. Although Juana was not yet the heiress (yet), already in her youth she had to go along with royal wishes. The king's influential mistress, Leonor de Guzmán, wanted to obtain some high prestige and property to her eldest son.

On 27 July 1350 her brother and guardian, Fernando Manuel of Peñafiel, had to marry his young sister to Henry (1333–1379), eldest of the illegitimate sons of Alfonso XI. This brought Henry certain lands.

However it was later that Juana's relatives' deaths made Juana the great heiress she turned out to be, while her husband became a threat to the royal power.

Inheritance and queenship
In 1361 (at the death of her teenage niece Blanca, daughter of her brother Fernando Manuel who himself had died in c 1350 without other children) she inherited Villena, Escalona and Peñafiel.

Because Juana was a maternal granddaughter of La Palomilla (Juana Núñez de Lara), from her another cousin, Isabel de Lara who was murdered in 1361  and her young daughter Florentina  (d after 1365), she also inherited Lara and Biscay.

In 1369, her husband became King Henry II of Castile, after he deposed and murdered his half-brother to take the throne, and she became queen of Castile and León.

When in 1381 she died and left her inheritance to her son, Biscay finally was united with Castile, and ultimately Spain.

Issue

King John I of Castile (1358–1390)
Eleanor (died 1416)
Joanna

Family tree

References 

1339 births
1381 deaths
Queens consort of Castile
Queens consort of Leon
Galician queens consort
Juama Manuel
Juana Manuel
14th-century Castilians
Castilian infantas
14th-century Spanish women
Queen mothers
Lakkos

Lakkos is the archaeological site of an ancient Minoan settlement on Crete, just south of Archanes.

Archaeology

Artifacts
 Bronze bull figurine
 Bronze chisel

References
Sakellarakis, J. E. Crete Archanes (1991). .

Minoan sites in Crete
Populated places in ancient Greece
Former populated places in Greece
Fred Baxter

Frederick Denard Baxter (born June 14, 1971) is an American former college and professional football player who was a tight end in the National Football League (NFL) for eleven seasons.  He played for the NFL's New York Jets, Chicago Bears and New England Patriots. Baxter played college football for Auburn University and was selected by the Jets in the fifth round of the 1993 NFL Draft. He was born in Brundidge, Alabama.

References

1971 births
Living people
People from Brundidge, Alabama
Players of American football from Alabama
American football tight ends
Auburn Tigers football players
New York Jets players
Chicago Bears players
New England Patriots players
Muar Second Bridge

Muar Second Bridge (Malay: Jambatan Kedua Muar Jawi: جمبتن كدوا موار) is a famous landmark in Muar, Johor, Malaysia. It crosses the Muar River.

History
Between the 1990s to 2000s, traffic congestion was prevalent at the Sultan Ismail Bridge since the official opening of the North–South Expressway Southern Route between Ayer Keroh and Pagoh and the opening of the Tangkak and Pagoh Interchange on April 1, 1989. In 1998, the federal government announced that a second bridge would be built at Parit Bunga to ease traffic congestion on the existing bridge.

The bridge was constructed between March 2001 and June 2003. It was built by Public Works Department of Malaysia (JKR) while the main contractor was Ranhill Bersekutu Sdn Bhd. The bridge was officially opened to traffic on 2004 alongside the opening of the Muar Bypass.

Bridge Descriptions
The Muar Second Bridge is a 632-metre semi-harp cable-stayed bridge with a 132-metre mid-span across Muar River, similar in design to the Sunshine Skyway Bridge in Tampa Bay, Florida, in the United States, and Prai River Bridge in Penang, Malaysia. The bridge project also features a complex interchange at Parit Bunga, the first in the town.

See also
 Muar
 Sungai Muar
 Muar Bypass
 Jambatan Sultan Ismail

References

Bridges in Johor
Bridges completed in 2003
Cable-stayed bridges in Malaysia
Muar District
Donnell Bennett

Donnell Bennett, Jr. (born September 14, 1972) is a former American football fullback in the National Football League (NFL) for the Kansas City Chiefs and the Washington Redskins.

Bennett attended Cardinal Gibbons High School. He played college football at the University of Miami and was drafted in the second round of the 1994 NFL Draft. He is married to Adrienne Bennett and has four sons: Matthew, Donnell III, Coleman, and Caden.

External links
NFL.com player page

References

1972 births
Living people
American football fullbacks
Miami Hurricanes football players
Kansas City Chiefs players
Washington Redskins players
Players of American football from Fort Lauderdale, Florida
Dean Biasucci

Dean Biasucci (born July 25, 1962) is an American former professional football player who was a placekicker in the National Football League (NFL) for the Indianapolis Colts and the St. Louis Rams. He played college football for the Western Carolina Catamounts.

Early years
Biasucci played college football for the Western Carolina Catamounts, and was a member of the team that reached the 1983 NCAA Division I-AA Football Championship Game. 

He scored 280 points (conference record) on 57 of 93 field goal attempts and 109 of 113 extra point attempts. His longest field goal was 52 yards and 80 percent of his kickoffs landed in the end zone. He was three-time first-team All-Southern Conference selection.

Professional career
Biasucci was signed as an undrafted free agent by the Atlanta Falcons after the 1984 NFL Draft. He played in one preseason game, making a 37-yard field goal attempt against the Minnesota Vikings. He was released before the start of the season on August 14. 

On September 7, he was signed by the Indianapolis Colts to replace an injured Raul Allegre. Biasucci was the team's field goal kicker for four games and would remain the rest of the season as the kickoff specialist.

In 1985, he lost the placekicking competition against Allegre. He was released before the start of the season on August 27. In 1986, he was signed to participate in training camp. He would pass Allegre on the depth chart and win the placekicker position.

Professionally, Biasucci is the third all-time leading scorer for the Colts, collecting 783 points from 1984 to 1994.

Personal life
Biasucci became an actor after his retirement, portraying himself in Jerry Maguire and receiving roles in other smaller movies such as New Alcatraz. He also had small guest appearances on ER and The West Wing. Biasucci was also a charter guest during an episode of the Bravo network reality show Below Deck Mediterranean.

References

External links

1962 births
Living people
Sportspeople from Niagara Falls, New York
Players of American football from New York (state)
American football placekickers
Western Carolina Catamounts football players
Indianapolis Colts players
St. Louis Rams players
American Conference Pro Bowl players
American male film actors
Miramar High School alumni
Everything I Touch Falls to Pieces

Everything I Touch Falls To Pieces is the debut full-length album from influential Chicago-based metalcore band Dead to Fall. The band shows a style in the vein of Swedish-influenced melodic death metal. The album's general theme deals with personal struggle and conflict with a loved one, often due to betrayal. The album is said to resemble the music of "At The Gates, The Haunted, with a touch of Killswitch Engage and Shadows Fall being added to the mix".

Track listing

Members
Jonathan Hunt - vocals
Bryan Lear - lead guitar
Seth Nichols - rhythm guitar
Justin Jakimiak - bass
Dan Craig - drums

Reception
 Allmusic  
 Punknews.org

Miscellanea
The song Tu Se Morta is a translated cover of a song from L'Orpheo by Claudio Monteverdi.
The song Eternal Gates of Hell is actually about a moment the band had at a toll booth where the attendant actually said "...and then I saw the blood coming." The "Carnage" and "Demise" parts were added because they thought it sounded cool.
Parts of the song Doraematu are an altered form of the Anonymous Spanish classical guitar work Romanza

References

Dead to Fall albums
2002 debut albums
Concept albums
Victory Records albums
Rex Hughes

Rex Hughes (September 24, 1938 – May 9, 2016) was an American college and professional basketball coach. He coached men's basketball at Long Beach City College, Kent State University, and later served as a National Basketball Association (NBA) assistant coach. He served as head coach for part of a season with the Sacramento Kings, and a single game as an interim coach with the San Antonio Spurs.  Hughes also worked in NBA scouting and basketball operations with the Kings, Atlanta Hawks and Orlando Magic. Hughes went to Redondo High School and played college basketball at Pepperdine.

Head Coaching Positions
In 1968–1969, Hughes was head coach at Long Beach City College, his first collegiate job after coaching in high school. His squad finished 23–5. When Hughes left to be an assistant at Nebraska, he was replaced by Lute Olson, in his first collegiate job.

Replacing Frank Truitt at Kent State University in 1974, Hughes' teams went 6–20, 12–14 and 8–19 over the next three seasons. The team started 1–10 in 1977–1978, when he was replaced by Mike Boyd.

In 1978–1979, Hughes was head coach and general manager of the Montana Sky (Great Falls, Montana) in the short-lived Western Basketball Association. The Sky were co-owned by country singer Charlie Pride. Notably, Hughes had Cazzie Russell and Brad Davis on the roster. Hughes was hired by the Sky mid-season when Coach Bill Klukas was fired after a 3–17 start. The league folded after one season.

In 1991–1992 Hughes served as an assistant coach under Dick Motta with the Sacramento Kings and went 22–35 in 57 games, replacing Motta as head coach after Motta was fired.

In 1992–1993, Hughes was hired to serve as an assistant coach to Jerry Tarkanian with the San Antonio Spurs. However, just 20 games into the season at 9–11, Tarkanian was fired. Hughes was 1–0 as interim head coach before John Lucas (39–22) was hired.

Media

On March 4, 2009, Hughes became the 15th person in "The Rex Streak", a streak by radio talk show host Jim Rome of consecutive days interviewing someone named Rex.

Death

Hughes died on May 9, 2016, at the age of 77.

References

External links
 BasketballReference.com: Rex Hughes

1938 births
2016 deaths
American men's basketball coaches
American men's basketball players
Basketball coaches from California
Basketball players from California
College men's basketball head coaches in the United States
High school basketball coaches in California
Junior college men's basketball coaches in the United States
Kent State Golden Flashes men's basketball coaches
Nebraska Cornhuskers men's basketball coaches
Pepperdine Waves men's basketball players
Sacramento Kings assistant coaches
Sacramento Kings head coaches
San Antonio Spurs assistant coaches
San Antonio Spurs head coaches
UNLV Runnin' Rebels basketball coaches
USC Trojans men's basketball coaches
Vancouver Grizzlies assistant coaches
Western Basketball Association coaches
Greg Biekert

Gregory Biekert (born March 14, 1969) is an American football coach and former linebacker in the National Football League (NFL).

Biekert attended Longs Peak Middle School and Longmont High School in Longmont, Colorado, where he lettered in football. He was a standout linebacker for the Colorado Buffaloes.

After college, he was drafted by the then L.A. Raiders in the seventh round of the 1993 NFL Draft and played in 144 games with 123 starts. He led the Raiders in tackles for six seasons, including four straight years (1998–2001). He recovered the Tom Brady incomplete pass that was called because of the disputed and since overturned Tuck rule in the 2001 AFC divisional playoff game against the New England Patriots which Tom Brady admitted might have been a fumble in May of 2022. After two full seasons with the Minnesota Vikings, Biekert retired after the 2003 season.

Biekert rejoined the Raiders as an assistant coach on defense on July 27, 2010. He was promoted to linebackers coach on February 8, 2011. He resigned to focus on family following the 2011 season. He is currently coaching at Timnath Middle High School in Timnath, Colorado.

References

External links

Oakland Raiders bio

1969 births
American football linebackers
Colorado Buffaloes football players
Living people
Los Angeles Raiders players
Oakland Raiders players
Minnesota Vikings players
Oakland Raiders coaches
People from Longmont, Colorado
Players of American football from Colorado
Blanca de la Cerda y Lara

Blanca de la Cerda y Lara ( – 1347) was a Spanish noblewoman.

She was the daughter of Fernando de la Cerda (1275–1322) and Juana Núñez de Lara, called "la Palomilla".

Blanca was the second wife of Juan Manuel, Prince of Villena (1282–1349), a member of the junior branch of the Castilian royal house.  Their daughter Juana Manuel of Castile married the (illegitimate) Henry II of Castile and became queen consort of Castile.

Ancestry

References

1310s births
1347 deaths
Year of birth uncertain
Spanish duchesses
14th-century Spanish women
14th-century Castilians
Blanca de La Cerda
HTC Apache

The HTC Apache is a Windows Mobile 5.0 device, sold as the PPC-6700 by Sprint, and the XV6700 by Verizon Wireless and other US carriers. The device was one of the first CDMA Windows Mobile 5.0 devices on the market, and the first to be released in the United States. The Apache is a Pocket PC PDA with smartphone capabilities.

The upgraded generation of the model is the HTC Mogul, also known as the HTC Titan, the PPC-6800, or the XV6800 from Verizon Wireless.

Features
 CDMA 1xRTT/EVDO
 Bluetooth
 802.11b Wi-Fi
 1.3 Megapixel camera/camcorder
 Built in QWERTY slide out keyboard (but no hardware ctrl key)
 Blue LED keyboard backlight
 2.88" 64K color TFT touchscreen
 Speakerphone
 USB and infrared dial up networking
 MiniSD / MMC card slot
Reference: Section  5.4 of the Verizon XV6700 User Manual (expansion slot compatible with miniSD and MMC cards)

Specifications
Band: CDMA 800/1900
Weight: 6.07 oz
Dimensions: 4.25" x 2.32" x 0.93"
Battery Type: Lithium Ion polymer 1350 mAh
Display Resolution: 240x320 16-bit QVGA
Java: Yes, MIDP: 2.0
Built in memory: 128 MB (Flash memory), 64 MB Ram
Operating system: Windows Mobile 5.0 for Pocket PC Phone Edition

Due to the popularity of the device there are many unofficial Operating System releases found on the Internet. Most notably, Windows Mobile 6.5 Professional.

External links 
Manufacturer's site
Product page 
Microsoft Windows Mobile
Custom Rom enthusiasts
HTC Custom Rom kitchen 
AIG Investments support page for default firmware and documentation on the PPC6700 and XV6700
UT Starcom support link for Verizon Wireless - Deprecated 
UT Starcom support link for Sprint - deprecated
Running Linux on the HTC Apache phone
Chinese xv6700 website

Apache
Windows Mobile Professional devices
Mobile phones with an integrated hardware keyboard
Rosevears

Rosevears may refer to:

 Rosevears, Tasmania, a town in northern Tasmania, Australia
 The electoral division of Rosevears, an electoral division for the Tasmanian Legislative Council

See also
 Rosevear, Isles of Scilly, an uninhabited island in England
 Rosevear, Cornwall, a hamlet in Cornwall, England
Aversive case

The aversive or evitative case (abbreviated ) is a grammatical case found in Australian Aboriginal languages that indicates that the marked noun is avoided or feared.

Usage
For example, in Walmajarri:

The suffix -karrarla indicates that the action (running away) was carried out in order to avoid the dust storm, tjurtu-.

The aversive may also be used to mark the object of verbs of fearing. For example, in Djabugay:

The aversive may be used on a nominalized verb, to produce an equivalent of English "lest". For example, "lest they be forgotten" could be encoded as "to avoid forgetting them".

Languages
Few languages have a distinct aversive case. Usually, a single case will be used both for the aversive and other functions.

Languages with a distinct aversive case include:
Arrernte
Djabugay
Gumbaynggir
Marri Ngarr
Marrithiyel
Walmajarri
Warlmanpa
Warlpiri
Warumungu
the Western Desert Language
Yidinj

References

Australian Aboriginal languages
Grammatical cases
Case
Goodness

Goodness may refer to:

 Good
 Goodness!, a 1969 album by jazz saxophonist Houston Person
 Goodness and value theory
 Goodness (band)
 Goodness (Goodness album)
 Goodness (The Hotelier album)
 Goodness, Greek concept arete
 Goodness, lunar feature a.k.a. Lacus Bonitatis
 Summum bonum, the "highest good"
 Eric Laithwaite's Goodness factor, a measure of the effectiveness of an electromagnetic machine

See also 

 Form of the Good, Plato's macrocosmic view of goodness in living
 Good (disambiguation)
 Good and evil
 Goodes (disambiguation)
 Goode, surname
 Goods (disambiguation)
 Good (surname)
 List of people known as the Good

Virtue
Fruit of the Holy Spirit
Morris McHone

Morris Daniel "Mo" McHone (born June 17, 1943) is a former coach for the Sioux Falls Skyforce, a professional team in the NBA Development League. He is also a former NBA basketball coach and assistant coach.

Career

McHone served as an assistant coach for the San Antonio Spurs for several seasons under coach Stan Albeck, replacing him in 1983 when Albeck took a job with the New Jersey Nets.  However, McHone only lasted 31 games, and was fired midway through the season after posting an 11-20 record.  He was replaced by then-GM Bob Bass.

McHone served as an assistant coach for the Cleveland Cavaliers during the  season, and under head coach George Karl during the  season. He also served as an assistant coach for the Detroit Pistons (1999–2001) and the Los Angeles Clippers (2001–2003).

McHone has coached for several teams in the Continental Basketball Association and NBA D-League, and has also served as head coach of the United States Men's National Basketball Team for several stints.

Sioux Falls Skyforce
McHone is best known for his multiple stints as coach of the Sioux Falls Skyforce, both in the Continental Basketball Association (CBA) and the NBA D-League. He coached the team from 1995-1999 in the CBA, and twice (06-07 and 10-12) in the D-League, winning the CBA Championship in 1996. He has a combined 180-124 (.592) record with the Skyforce. However, in August 2012 the Skyforce appointed Joel Abelson as the 15th Head coach of the franchise.

In between his time with the Skyforce, he was named Director of Basketball Development for the Austin Toros of the NBA Development League.

References

External links
 NBA Development League bio
 BasketballReference.com: Morris McHone

1943 births
Living people
American men's basketball coaches
Bradley Braves men's basketball coaches
Continental Basketball Association coaches
Florida State Seminoles men's basketball coaches
Florida State University alumni 
Georgia Bulldogs basketball coaches
Junior college men's basketball players in the United States
New Jersey Nets assistant coaches
San Antonio Spurs head coaches
Sioux Falls Skyforce coaches
United States men's national basketball team coaches
American men's basketball players