Nature patterns have infinite stories of different phenomena; the spiral shape of a nutshell shell is similar to the galaxy and the head of a cabbage. In order to understand the patterns of our nature, scientists usually relies on a powerful tool “Mathematics”; they use mathematical techniques to look at the observations in a quantified way and examine them in order to explore what underneath its patterns, which are full with objective rhythms.

We tried to implement a biomimicry process between nature and architecture throughout the design process of the Dome’s form to get higher performance objectivity. This is due to the fact that all forms, constructions, and structures in nature have functional purposes. This function is a key for creating a suitable mimicry. We tried to find a balanced point between mimicking by studying a function of the natural system to emerge neoteric forms in architectural design; and choosing an analysis technique to transfer information from nature to architecture.

We investigated throughout this project using a mathematical analysis technique to encode a biomimicry process of the Egyptian tortoise shell which is the most important phase to support mimicking the nature forms in architectural design. That enables transferring the information from nature to architecture because of: 1) A single equation describes multiple forms from one family of shells, thus emerging multiple alternatives from the main form is easily achieved; 2) Ease the transition from an alternative to another, this enables us to compare them to reach an optimum solution.

We were able to improve the environmental performance of the Dome with different kinds of alternatives that attuned with the ambient environment – Egyptian climate – throughout the following:

  1. Focusing on the tortoise shell form and mathematically translating the observed adaptations into the ambient environment to achieve many solutions to thermal regulation problems inside any dwelling. This was achieved after an emulating – Egyptian Tortoiseshell – to improve the environmental roof performance towards the solar radiation.
  2. The cumulative value of solar radiation which falls on the surface of the Egyptian tortoise-shell is less than which falling on the surface of the Dome at the rate of 10.56 %. The cumulative value of solar radiation which falls on the surface of the Egyptian tortoise-shell after adding graded levels of the grid pattern is less than which falling on the dome surface of at the rate of 27.2 %

The main aim of this project is not the final form, but the main aim is the biomimicry process in parallel to the analysis technique which used to transfer the information from nature to architecture. The project objectivity is emulating nature to improve the roof performance towards the solar radiation; thus the improvement of the roof’s form can be enhanced. In other words, we present a method to get nature forms’ advantages through integrating a Mathematical expression of mimicking the nature forms with the design process. This integration aims to produce a sustainable environmental solution in the early stage of the design process by providing multiple alternatives.