Leaf Morphology: An Interpretation of Fractals in Architectural Design

Abstract

Nature is the primary source of inspiration for human mind. Our world is full of interesting natural phenomena, organisms and systems that are essential for the existence of life on earth. Learning from nature is not a new concept. However, with the passage of time and the advancement of technology, the world has shifted to high tech strategies that are not sustainable in our natural context any more. Hence, scientists and designers are rethinking about sustainable solutions by taking inspiration from nature and with the help of advance technologies. Mathematics of self-similar shapes has existed for centuries. We have now realized that it is a natural phenomenon and is known as fractals. It is found everywhere, from trees to river networks, clouds to coral reefs, lighting to bird’s wings and vascular system of lungs to leaves. Fractals are never ending and infinitely complex patterns that are self-similar across different scales. Fractals create infinite complexity but in mathematics, it can be formulated thorough relatively simple equations. The idea is to study leaf morphology to understand the fractal pattern in leaf. Further, we want to explore the properties of leaf fractals so that we can use these arrangements in our architectural design.