The Latest

Aug 26, 2014 / 484 notes

subtilitas:

AFGH - Housing for architects and artists, Zurich 2004. Photos (C) Valentin Jeck.  

(via thedhaus)

miesdetroit365:

someday, maybe i’ll make the jump to a townhouse
lafayette park detroit
Aug 26, 2014 / 21 notes

miesdetroit365:

someday, maybe i’ll make the jump to a townhouse

lafayette park detroit

(via acidadebranca)

Aug 26, 2014 / 2,740 notes

archatlas:

Réflexions Faites Romain Trystram

(via physical-dreamscape)

Lunch time walk #perth
Aug 26, 2014 / 1 note

Lunch time walk #perth

Aug 24, 2014 / 2,125 notes

thekhoolhaus:

  1. Melbourne, Australia.
  2. Vienna, Austria.
  3. Vancouver, Canada.
  4. Toronto, Canada.
  5. Adelaide, Australia
  6. Calgary, Canada.
  7. Sydney, Australia.
  8. Helsinki, Finland.
  9. Perth, Australia.
  10. Auckland, New Zealand.

LONDON, Aug 19 (Reuters) - Melbourne tops the ranking as the world’s most pleasant city to live in for the fourth year running, but an Economist Intelligence Unit poll also finds that turmoil in Ukraine and the Middle East have pushed other cities down the list.


Vienna, Vancouver and Toronto captured 2nd, 3rd and 4th places in the list of 140 cities released on Tuesday. Bottom was Damascus, capital of war-torn Syria, while just above it in ascending order were Dhaka in Bangladesh, Port Moresby in Papua New Guinea and Lagos, Nigeria.

http://www.huffingtonpost.com/2014/08/19/most-livable-city_n_5690611.html

Aug 24, 2014 / 3 notes

New York, New York. It sounds so nice they named it twice.

#wceagles #subiaco #afl #footy #goeagles #westcoasteagles
Aug 23, 2014

#wceagles #subiaco #afl #footy #goeagles #westcoasteagles

Aug 20, 2014 / 593 notes

enochliew:

Algarrobos House by José María Sáez & Daniel Moreno Flores

Eight identical steel members, 18 meters long, placed along the x y z axis, confine the space for the house and at the same time open it as they project in different directions.

(via architecturehall)

Aug 20, 2014 / 3,890 notes

thisoldapt:

Not too shabby, David Karp. Not. Too. Shabby. -EL

gravity-gravity:

Industrial loft of Tumblr founder

(via architecturehall)

mickyribera:

Kaufmann house, or Fallingwater (1936-1939) Bear Run river. Fayette. Pennsylvania. USA
Frank Lloyd Wright
 
Aug 20, 2014 / 16 notes

mickyribera:

Kaufmann house, or Fallingwater (1936-1939) Bear Run river. Fayette. Pennsylvania. USA

Frank Lloyd Wright

 

(via architecturehall)

Aug 20, 2014 / 5,480 notes

cjwho:

The High Line, Manhattan, New York

The High Line is a public park built on an historic freight rail line elevated above the streets on Manhattan’s West Side. It is owned by the City of New York, and maintained and operated by Friends of the High Line. Founded in 1999 by community residents, Friends of the High Line fought for the High Line’s preservation and transformation at a time when the historic structure was under the threat of demolition. It is now the non-profit conservancy working with the New York City Department of Parks & Recreation to make sure the High Line is maintained as an extraordinary public space for all visitors to enjoy. In addition to overseeing maintenance, operations, and public programming for the park, Friends of the High Line works to raise the essential private funds to support more than 90 percent of the park’s annual operating budget, and to advocate for the preservation and transformation of the High Line at the Rail Yards, the third and final section of the historic structure, which runs between West 30th and West 34th Streets.
The High Line is located on Manhattan’s West Side. It runs from Gansevoort Street in the Meatpacking District to West 34th Street, between 10th & 11th Avenues. The first section of the High Line opened on June 9, 2009. It runs from Gansevoort Street to West 20th Street. The second section, which runs between West 20th and West 30th Streets, opened June 8, 2011.

CJWHO: facebook | instagram | twitter | pinterest | subscribe

(via archoftheworld)

Aug 20, 2014 / 1,857 notes

lossinthewilderness:

A woman lives in a tiny bohemian house with a botanical garden of her own!

Source:
http://frommoontomoon.blogspot.com.au/2013/10/the-botanical-home-of-musician-mileece.html

(via physical-dreamscape)

Rosie
Aug 17, 2014

Rosie

Loulou
Aug 17, 2014 / 1 note

Loulou

Aug 17, 2014

1 is not a prime number

Apparently my Maths teachers were wrong.

The number one is far more special than a prime! It is the unit (the building block) of the positive integers, hence the only integer which merits its own existence axiom in Peano’s axioms. It is the only multiplicative identity (1.a = a.1 = a for all numbers a). It is the only perfect nth power for all positive integers n. It is the only positive integer with exactly one positive divisor. But it is not a prime. So why not?


There was a time that many folks defined one to be a prime, but it is the importance of units and primes in modern mathematics that causes us to be much more careful with the number one (and with primes). When we only consider the positive integers, the role of one as a unit is blurred with its role as an identity; however, as we look at other number rings (a technical term for systems in which we can add, subtract and multiply), we see that the class of units is of fundamental importance and they must be found before we can even define the notion of a prime. For example, here is how Borevich and Shafarevich define prime number in their classic text “Number Theory:”

An element p of the ring D, nonzero and not a unit, is called prime if it can not be decomposed into factors p=ab, neither of which is a unit in D.

Sometimes numbers with this property are called irreducible and then the name prime is reserved for those numbers which when they divide a product ab, must divide a or b (these classes are the same for the ordinary integers—but not always in more general systems). Nevertheless, the units are a necessary precursors to the primes, and one falls in the class of units, not primes.