Hexagon

In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a 6-sided polygon or 6-gon. The total of the internal angles of any hexagon is 720°.

Regular hexagon

A regular hexagon has Schläfli symbol {6} and can also be constructed as a truncated equilateral triangle, t{3}, which alternates two types of edges.

A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).

The common length of the sides equals the radius of the circumscribed circle, which equals times the apothem (radius of the inscribed circle). All internal angles are 120 degrees. A regular hexagon has 6 rotational symmetries (rotational symmetry of order six) and 6 reflection symmetries (six lines of symmetry), making up the dihedral group D₆. The longest diagonals of a regular hexagon, connecting diametrically opposite vertices, are twice the length of one side. From this it can be seen that a triangle with a vertex at the center of the regular hexagon and sharing one side with the hexagon is equilateral, and that the regular hexagon can be partitioned into six equilateral triangles.

Hexagon (comedy show)

Hexagon is a non-profit organization billing itself as "Washington's only original political, satirical, musical, comedy revue." Since 1955, it has produced an annual show that parodies local, national and international political and social issues. Performances were previously held at the Duke Ellington School of the Arts in Washington and are currently located at the Montgomery College Cultural Arts Center in Silver Spring. Beginning in 2015, the show will return to Washington at Woodrow Wilson High School.

All Hexagon performers and staff are volunteers, including local celebrities who make cameo appearances. Ticket sales are donated to a charity selected each year. Recent recipients have included Sarah's Circle, the ALS Association, Hospice Caring, and the Wounded Warrior Project. Hexagon is supported by the affiliated Friends of Hexagon. As of 2014, Hexagon had raised over $3.5 million for charity.

Hexagon has received recognition for its work in the Washington community. In 1987, President Ronald Reagan presented Hexagon with the President's Volunteer Action Award for service. In 1993, Washingtonian magazine selected Hexagon as "Washingtonian of the Year," the first time an organization was named as the award's recipient. In 1994, the Greater Washington Area Chapter of Hadassah honored Hexagon with its Myrtle Wreath Award. The 2007 show "Strike While The Irony's Hot" was featured in the Capitol Hill newspaper Roll Call. The 2010 show "Dancing with the Czars" was featured in the Maryland Gazette newspapers.

Hexagon (album)

Hexagon (album) was released in July 2013 in the United States and in September 2013 in the United Kingdom. The title refers to the shape of the cube on the cover, rendered as a hexagon in 2D space. It's also the band's sixth album.

The album was written in piecemeal while the band was touring in support of their previous album The Nerve. Most of the actual recording was done at Electrical Audio in Chicago.

Reception

Personnel