Recursion in mathematics is stated as a function that is defined by being applied within itself.

In other words, the initial conditions are repeated in itself until a satisfactory outcome has been achieved. The power of recursion evidently lies in the possibility of defining an infinite set of objects by a finite statement.

In architecture, the role of recursivity has been translated often into a merely aesthetical exploration rather than for solving complex problems with simple rules. This assignment wants to investigate applications and implications of looping and recursive strategies to

reframe the generation of architectural spaces.

As a case study student will have to intervene a part of the Mies van der Rohe pavilion and propose an architectural installation applying recursive systems which resembles how would nature proliferate in a contained environment (take over space).

-Brief

# Recursive Growth

TAKE OVER

Inspired by nature, the project represents how nature proliferates and takes over space in the Mies van der Rohe pavilion, eventually covering the whole pavilion. This proposal is a depiction of how negligence towards nature can turn into something fatal. The message here is to create awareness to protect nature before nature takes things in its own hands. The growth begins from the poolside and growing onto and into the built space.

Process –

- A surface is selected from which the growth initiates
- Vectors are mapped and rotated
- Vectors are then linked to certain predefined points which will force the vectors away from the point
- Hence, creating a magnetic field
- The points behave not just in the plane but also in the third dimension, which helps in making the vectors move along the Z axis
- Using the recursive growth algorithm, the movement of these vectors is mapped
- Creating a curve along the points
- Piping the curves gives tree-like effect
- Changing the grid divisions, the number of iterations and number of lines, different growth results can be obtained.

Recursive Growth is a project of IaaC, Institute for Advanced Architecture of Catalonia developed at Master in Advanced Architecture, in 2019 by:

Student: Pratik Borse

Faculty: Rodrigo Aguirre

Assistant: Daniil Koshelyuk and Nikoleta Moughasi