The first article

I would like to introduce one of my favorite Soviet architects, his name is Melnikov, in his house, he used geometric patchwork and division, full of mathematical interest.

Built between 1927 and 1929 on Moscow’s Korevorbatsky Lane, the Melnikov House was a unique and innovative design concept and a unique exterior shape that made it a worthy representative of Soviet avant-garde architecture and the most unique presence in the city at the time.

Melnikov’s self-built house has a double cylindrical tower structure, with the appearance of two concrete columns of different heights embedded in each other, and hexagonal window openings throughout the façade, leaving an unforgettable impression. The interior of the house has almost no right angles as far as the eye can see, and is full of rounded and soft lines, which makes the effective area of the building much larger and more practical.

The whole building has three floors with a total of 2,691 square feet. On the second floor is the front room, kitchen, bathroom and two children’s rooms of the same size, dressing room and study; on the second floor are the living room and bedrooms, which allow light in through octagonal windows, and the rooms with 12 hexagonal viewing windows overlooking the flowers and trees in the garden.

The third floor houses Melnikov’s studio. The studio has 38 hexagonal windows decorated with intricate patterns, into which light shines evenly from all directions, creating optimal lighting conditions for the architect’s studio: no matter where one is in the space, the shadow of one’s hand does not obscure the drawings.

Picture sources:

Technique: Math

In Daniel Cardoso Llach’s 2008 dissertation, he examines the basic rules of addition, subtraction and repetition of the basic shape of the house and explores the complementarity of this form to the site through constant replication.

First are the basic elements, including geometric components circles, radial lines and arcs, and functional components such as windows, doors and stairs.

Then he analyzed the angle of intersection in this residence is 72°, while 18° is used for opening windows

So he recovered the rules of the residence.

Finally he figured out the rule of opening windows and setting stairs at the intersection: twist 18° in the middle of the arc to set the interconnecting door, and then set the stairs at the end.

In his study on circular arcs, he further investigated different ways of intersection.

Finally, the site study is carried out by algorithms.



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