Procedural modeling of Muqarnas

Project Plan

The project is separated in three main goals: identify the historical document to use, develop the procedural modeling methods and perform the modeling. The following table provides the project plan:

Date	Task	Completion
By Week 3	Choose three interesting project ideas. Prepare presentation slides for each project idea.	✓
By Week 4	Initial tutorial: Introduction to Rhino and Grasshopper.	✓
By Week 5	Rhino and Grasshopper applied exercises. Think of a definition of the context, content and outcome of the project.	✓
By Week 6	Grasshopper implementation of Islamic 2D star pattern Researching Abu al Wafaa al Buzjani's manuscript "On those geometric constructions that are necessary for a craftsman"	✓
By Week 7	Find the steps traditionally followed by craftsmen to construct muqarnas.	✓
By Week 8	Understand the construction methods described by Al Kashi's manuscript "Methods of the masons'. Identify different components used in Al Kashi's book to construct Muqarnas. Learn how to calculate the curvature coefficient for curved Muqarnas. Understand how to calculate muqarnas surfaces using Al Kashi's method. Implement the basic shapes in 2D.	✓
By Week 9	Work on the grasshopper 3D model. Parametrize the 2D basic shapes with a 3 point model, which will be useful to create the 2D plan. Model the 3D cells of each shape for simple Muqarnas.	✓
By Week 10	Midterm presentation: Prepare slides for the midterm project presentation. Layout steps to create 2D muqarnas plans in a procedural way.
By Week 11	Complete the parametric 2D plan on Grasshopper. Identify the position of basic shapes on the plan. Identify the outline of each tier of the Muqarnas.
By Week 12	Start applying the 3D shapes on the 2D plan of the model. Calculate the surface of the Muqarnas following Al Kashi's method. Compare the results to the surface calculated on Grasshopper.
By Week 13	Final changes and fine tuning of the model. Implement curved muqarnas (only changing the arc is necessary). Complete the final report and wiki.
By Week 14	Final presentation.