Report :: The Reconstruction of the Stradivari Arch
- Hwang Il Seok
- 4 days ago
- 2 min read
Updated: 2 days ago
Many luthiers attempt to reconstruct the Stradivari arch, but with its constructive principles remaining unknown, they are limited to mere imitation. This report presents a method to systematically reconstruct the Stradivari arch using trochoid curves. Furthermore, this study presents a method to generate a Stradivari arch of any specified width and height for practical
application in instrument making.
I am now finishing the project I have been working on for 15 years.
The arch creation program is in its final stages.
I will release it as soon as it is complete.
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Table of Contents
(For details, see PDF...)
1. Definition of the Arch
1.1. Condition of the Arch
1.2. Location of the Arches
2. Reconstruction Target Models
2.1. Models A, B, and C
2.2. Model D
3. Trochoid
3.1. Definition and Types of Trochoid
3.2. Curtate Trochoid
3.3. Curtate Hypotrochoid
3.4. Curtate Epitrochoid
4. Creating Trochoid Arches
4.1. Creating a Curtate Trochoid Arch
4.2. Creating a Curtate Hypotrochoid Arch
4.3. Creating a Curtate Epitrochoid Arch
4.4. Trochoid Arches That Cannot Be Created
5. Trochoid Approximation Curve
5.1. Basic Principle of the Approximation Curve
5.2. Creating the Pattern Curve
6. Creating Trochoid Approximation Curves
6.1. Case Where the Arch Does Not Exist
6.2. Case Where the Arch Exists but Cannot Be Created for Computational Reasons
7. The 6th Arch
7.1. Principle of Creating the 6th Arch
7.2. Creating the Pattern Curve
7.3. Sequence for Creating the 6th Arch
8. Reconstruction of the Stradivari Arch
8.1. Reconstruction Results
8.2. Analysis of Results
9. Application in Instrument Making
9.1. Arches No. 1-5
9.2. The 6th Arch
10. Conclusion and Discussion
11. Appendix
11.1. Arch Pattern Analysis
11.2. Speculation on the Original Arch of Model A
11.3. Abbreviations and Fullness Zones