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Precedent study -  LAURENT CHÉHÈRE -”Flying house”  reference:https://www.artsy.net/search?term=LAURENT%20CH%C3%89H%C3%88RE

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Digital linework Linework 

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Front view & Top view & side view 

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Digital model perspective view

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Physical model 3

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Physical model 3 

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Physical model 2

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Physical model of “floating building as flying a kite”

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Sketching for impossible structure with surrealism 

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Future City From The Past work X Brutalism structure format designed by  Clemens Gritl who is engaging with design artificial 3D computer models, reflecting and exploring urban utopias of the 20th century.

Reference:https://imgur.com/gallery/EBBMtGT

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“HARD EDGES, CLOUDY CITIES”   Deconstruct the building balcony as a suspended format as a Fantastical Structure

Reference:https://www.espendietrichson.com/collages/

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Fantastical structure - a parametric-observation-tower- X  Fibonacci sequence

A spiral tower provides unobstructed view experience to visitor

Reference:https://hayriatak.com/projects-item/sayisal-tasarim-ve-mimarlik/

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a interesting pic called  Follow The Groove".and generated by  Jörn Gollob for the music album "Fata Morgana" by Canadian guitaris Scott Kroeker.

Reference:https://im-possible.info/english/art/rendering/gollob.html

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The Impossible and Fantastical Structures  - Fibonacci numbers -Architecture

what is Fibonacci numbers and how does it formed the architecture design even in thousand years ago?

“Fibonacci”, was an Italian mathematician called Leonardo Pisano Bigollo (1175-1250), known as from the Republic of Pisa who was considered to be one of the most talented and celebrated Western mathematicians of the middle ages period. The Fibonacci Sequence mathematically correlates with the “golden ratio”, which can be considered the physical manifestation of the formula - also represented by the greek alphabetical symbol, Phi (φ). The ratio can also be discovered in music - through tonal frequencies, timing signatures, and the physical design of instruments.

“Fibonacci is remembered for two important contributions to Western mathematics:”

He helped spread the use of Hindu systems of writing numbers in Europe (0,1,2,3,4,5 in place of Roman numerals).

The seemingly insignificant series of numbers later named the Fibonacci Sequence after him.

Personally, i think spiral structure would be a interesting structure which is consist of the design aesthetic and simplicity.

Reference:

https://rascoh.studio/blog/2019/contemporary-architecture-fibonacci-sequence

https://elearningindustry.com/fibonacci-sequence-what-is-and-how-applies-agile-development

Image Resources 1 :https://fibonacci.com/art-architecture/

Image Resources 2: https://elearningindustry.com/fibonacci-sequence-what-is-and-how-applies-agile-development

Image Resources 3:https://towardsdatascience.com/automated-machine-learning-a-different-notion-of-deep-e0f7e5c06fb2

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Personally,I have never been exposed to the paradoxical architectural element painting to express three-dimensional and four-dimensional before, so I spent a little time looking for a tutorial, I found that the Penrose staircase is one of the simplest paradox architectural graphics. I chose to draw the Penrose staircase by sketching and only took 10 minutes with pencil and ruler, quite simple but still effective and also this sketching could further consolidate my understanding of three-dimensional paradoxical architecture design ideas. Finally, four – simple people icon has been placed on the cornered stair platforms just for comparison

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“A paradox is not a conflict within reality. It is a conflict between reality and your feeling of what reality should be like.”

— Richard Feynman

 Honestly, the first time I get in touched with fantastical/incredible architecture was when I playing a game called Monument Valley. This game is simple and clear. It uses human visual illusions to guide the characters from the starting point to the endpoint while constantly adjusting the various available pieces of machinery, Later, I learned that this topic is called Paradoxical Architecture by browsing the website resources. However, I still don’t know the philosophy of the Paradox System very well, but I can roughly summarize the theme of Paradoxical Architecture that paradox is usually composed of two opposite/different parts.

Theoretically, the feature that sounds very philosophical, but honestly a paradox is a thing that cannot exist theoretically but exists or may exist, and can be expressed through a certain visual expression or CGI methods, for example, we can create a paradoxical image however it just a image rather than actual objects and also completely different from 2D images visual effect and become 3D visual types.

Referenced from https://www.zeynepcinar.com/writings/2017/6/29/paradoxical-architecture