Introduction & Motivation
Example of Muqarnas structure
Muqarnas Definition
Muqarnas elements
Muqarnas Types
1. Simple Muqarnas: the ceilings have plane surfaces only
Elements defined by Al Kashi
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[[]]
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Methodology
Create the shapes in 2D
Transform the shapes in 3D
The Arc from the Method of Masons
The 3D Projection
Create the 2D plan and the 3D volume
- Step 1:
- Step 2:
In practice
Project Plan
Date
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Task
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Completion
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By Week 3
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- Choose three interesting project ideas.
- Prepare presentation slides for each project idea.
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✓
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By Week 4
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- Initial tutorial: Introduction to Rhino and Grasshopper.
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✓
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By Week 5
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- Rhino and Grasshopper applied exercises.
- Think of a definition of the context, content and outcome of the project.
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✓
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By Week 6
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- 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"
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✓
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By Week 7
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- Find the steps traditionally followed by craftsmen to construct muqarnas.
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✓
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By Week 8
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- 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.
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✓
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By Week 9
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- 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.
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✓
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By Week 10
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- Midterm presentation: Prepare slides for the midterm project presentation.
- Layout steps to create 2D muqarnas plans in a procedural way.
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✓
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By Week 11
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- 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.
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✓
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By Week 12
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- 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.
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✓
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By Week 13
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- Final changes and fine tuning of the model.
- Implement curved muqarnas (only changing the arc is necessary).
- Complete the final report and wiki.
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✓
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By Week 14
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✓
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Results
3D shapes
Limitations
Future work
Github Repository
Jerusalem Maps EPFL DH405
References
Literature
- Kim, Jina, et al. "The mapKurator System: A Complete Pipeline for Extracting and Linking Text from Historical Maps." arXiv preprint arXiv:2306.17059 (2023).
- Li, Zekun, et al. "An automatic approach for generating rich, linked geo-metadata from historical map images." Proceedings of the 26th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining. 2020
Webpages