Hypothesis – Complex geometry in architectural structures are defined and determined through the use of mathematical modeling. The studies of Nature and Nonlinear Systems Biology and Design allow for architects to reconfigure these studies through the use of these mathematical models.
Problem Statement – How the influences of Nature and Nonlinear Systems Biology can be used as complex geometric forms, for architects to develop and construct various structures and forms that can be used as structures. This will be achieved through using a natural, nonlinear form (seashell) that can be mathematically modeled to create a structural form of architecture.
Purpose – The purpose of this study is to develop an understanding of how architecture interrelates to nature and biology, and through this understanding how you can articulate this relationship into a solid 3D structural form.
Procedure – To test my hypothesis and answer the research question at hand, I will be parametrically modeling the seashell geometry. For my Assignment 1 I created a spiral structure, this spiral was constructed by using a series of circles at a base point. I then used inputs to determine the length and height of the spiral whilst the shape followed that of the sin and cos laws of trigonometry. I then combined these functions together and created the circular spiral shape and then applied a piping to the structure. To then follow my hypothesis, I will attempt to use this structure and using valid points along the shape to create horizontal levels in relation to the size of the spiral. This I believe will leave me with a diagrid structure representing that of a living system and nature.
To ensure that if there are any hiccups in my first procedure, I am constructing a secondary model. This model will use a parametric tower, and to start I will create the base shape of the model as a polygon. I then will apply a series and movement modifier in the z-axis to form the basic level structure of the tower. As I want the tower to twist as it rises I will include a rotate modifier so that the building continuously turns as it grows in height. From this I will use two graphs that represent the way in which the building is shaped to allow for the spiral shape to end at a point much like that of a conical shaped shell. With these parameters completed, I will then scale the shape using the base point from the polygon, the midpoints of every floor and the scaling factor. After this base shape is created I will loft the surface and then using the edge modifier, only take the lines creating the diagrid. These will then be extruded as flat planes to simulate the laser cutting shape I wish to create.
Significance – The results of this study will provide an understanding of how architecture can use Natural and Biological Systems as a way of developing future structures. Through the use of mathematical and parametric modeling the complex geometric shapes that make up our natural world will become more imminent in the realm of architecture.
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