**Geometry**

Understanding Geometry is an important factor in creating a proper and neat Architecture. The Geometry is the created boundaries or the shape defining the space, we use this branch of mathematics to declare the space corners, measure surfaces areas and calculate edges lengths, we also use it to control relationships between design elements and to set shapes properties. the purpose and logic of the rules followed to create geometry is not only for defining shape, but it’s a method to learn to solve problems in life generally, and for the chosen function specifically, for example, finding an area of a geometry to measure capacity in a case of building.

**Architectural Geometry**

Architectural Geometry is the area of Architecture concerns with applying the knowledge and application of Geometric Modelling and Geometry mathematics into the Design and Construction. This area opens a wide field of research for architects and builders to explore formation possibilities and let them broaden their limits in creating innovative forms and creative spaces.

**Importance of Geometry**

Geometry has been always an effective issue in designing buildings and makes it work better, for example, a space geometry affect the performance of acoustics, another example, a triangulated inclined roof prevent snow from combining large ice masses. Geometry is an important issue that affects the structural reliability, and it’s used to measure the safety of frames and structures, it’s also having a fatal impact on the safety of buildings and towers affected by earthquake hazards. It’s used to rationalise structures and preserving its beauty and aesthetic by subdividing it into measured smaller shapes of hexagons or triangles, easy in fabrication and assembly.

**Shell Structures**

Shell Structures, are Architectural elements consist of surfaces, usually thin, which have been curved by applying a kind of forces, literally( in CAD)or physically ( Tensile), these surfaces are constructed with light materials and units, and sometimes it acts as a self-supported space filler, which means it spans cover the whole space without columns or beams.

**Geodesic Dome**

Geodesic Dome, first built by Buersfeld, later named by Fuller, It’s a kind of lightweight shell structures, subdivided into equal triangulated faces, these faces are created by packing sphere (or hemisphere) surface by equal adjacent circles, then connect their centres together, shaping equal triangles (not always equal). These triangles are connected together forming a structural load transfer mechanism, similar to the one find in Arches. It supports the whole shell without the need for columns, and it’s easy to make and find in its fixing place, usually filled with glass or other light cladding panels.

**Modelling **

In our experiment, we tried to build this Geodesic Dome using a mathematical operation, by building a quarter sphere from an inclined triangle, by subdividing its surface into smaller triangles and then project its corners into the spherical surface and then using transformation as a technique to apply the form to the other eight sides. It’s wonderful how parametric design can help us manipulate such complex geometries with the least efforts ever. In our next step, we will see how we can develop it further. Even it looks fine, but it needs more work to make it perfect.

**Reference**

Geometry: **http://en.wikipedia.org/wiki/Geometry**

Introduction to Geometry: architecture.htmlhttp://www.ehow.com/info_8732074_introduction-geometry.html

Architectural Geometry: http://en.wikipedia.org/wiki/Architectural_geometry

Importance of Geometry: http://www.ehow.com/info_8753341_geometry-important-

Shells: http://en.wikipedia.org/wiki/Thin-shell_structure