Square Serving

27 May, 2008 in art pottery by admin

Square Serving

Tiananmen Square – The largest square in the world is more than just ‘big’

A sprawling open plaza located in the heart of Beijing, Tiananmen Square is a destination that offers travellers to the city much to explore. While the location has gained international recognition for being the site of the infamous Tiananmen Square Massacre, this scenic locale has been the focal point of numerous events in China’s long and proud history. Tiananmen Square has the distinction of being the largest square in the world with a space of 440,000 square metres allowing it to hold up to 10,000,000 people at any given time according to estimates. Beyond just being a square, several points of architectural and historical interest are located here. Situated at the centre of the square is the Monument to the People’s Heroes which is the biggest monument ever created in Chinese history. Consisting of an immense pillar that is set on a base, the memorial also features an epitaph by Mao Zedong (the founder of the People’s Republic of China) engraved on to its surface. The artefact also features eight large relief’s depicting important events in Chinese history. Located on the east side is The National Museum of China which houses a staggering array of pictures, objects, books, and models, all of which serve to showcase the development of the Chinese nation in to what it is today. A significant collection of cultural relics is also stored here while the entire museum features items that date as far back to 1,700,000 years ago. The revered Chairman Mao also has a monument in his honour at Tiananmen Square. The Memorial Hall of Chairman Mao features three halls, one of which has the body of Chairman Mao enshrined in a crystal coffin that is constantly surrounded by flowers and grasses. The Great Hall of the People lies to the west of Tiananmen Square and is currently used for the convening of the China National People’s Congress as well as various other political and diplomatic meetings. The structure itself features lavish interiors spread across several rooms that can be leisurely explored. The final attraction here is Tiananmen Tower which is an imposingly tall structure that historically served the important purpose as being the point from which the ascension of a new Emperor and Empress would be announced. During its heyday, only royalty could enter this structure but today it is open for all to explore. During your travel to China, booking a Beijing hotel such as Grand Millennium Beijing presents an ideal accommodation option for a short or long term stay in the city.

About the Author

Pushpitha Wijesinghe is an experienced independent freelance writer. He specializes in providing a wide variety of content and articles related to the travel hospitality industry.

What is length of diagonal of the central 'square'

http://upload.wikimedia.org/wikipedia/en/5/55/Escher_Circle_Limit_III.jpg

Lets assume that diamerer of the entire world is
D = 2R = 2,
and there is sufficient symmetry.

The central 'square' is large square pillow with four wihte arcs serving as boundaries.
Here is larger picture:

http://home.comcast.net/~eschermc/Circle_Limit_III.jpg

Congratulations for the interesting question!
Being a fan of M. Escher's art and having an album with his most famous works (Circle Limit III incl.) at home, I was happy to find this intriguing question and to try an answer.
We need some more assumptions however:
1) The sides of the central square are 4 white circular arcs, orthogonal to the "end of the world" (as in Poincare Disk Model of the non-Euclidean hyperbolic space - please follow the link in Sources below and read "Poincare Disk Model" and "Escher's Circle Limit III" Sections);
2) These arcs intersect at 60° (at every vertex 3 such arcs intersect at equal angles, each angle represented by a fish half-head and a fish half-tail)
Let O is the world (and square) center, A is the right square vertex, O' and O" - centers of 2 arcs, meeting at A, r - radius of these arcs. The triangle OO'O" is right isosceles:
|OO'| = |OO"| and OO', OO" are perpendicular as normals to the sides of the central curvilinear square. The orthogonality of the white arcs to the world boundary yields:
|OO'| = |OO"| = √(R² + r²) = √(r² + 1)
Triangle AO'O" is isosceles:
|AO'| = |AO"| = r, angle(O'AO") = 120° according 2) above, hence
|O'O"| = r√3, but the same segment from the triangle OO'O" is expressed as
|OO'|√2 = √2 √(r² + 1), so the required radius r is determined by
r√3 = √2√(r² + 1), or r = √2 and |OO'| = |OO"| = √3
Now the half of the required diagonal is equal to the distance from O to O'O" - it is √3 * √2/2 = √6/2, minus the distance from A to O'O", the latter is r/2 = √2/2, finally the answer is
√6 - √2 ≈ 1.03

But according the reference below ("Escher's Circle Limit III" Section) the condition 1) should be replaced with an angle of 80° instead of 90°, hence r will be the positive root of the equation
r² + 4r cos 80° - 2 = 0, or r ≈ 1.1 and the required diagonal length will be
r(√3 - 1) ≈ 0.8

Children's Mental Health Awareness Day Event at Portland's Pioneer Courthouse Square on May 2009