1. Introduction  
1.1. Motivation and hypothesis  
1.2. Definition of the problem and contributions  

2. Related work on exact models for nesting  
2.1. Categorization of exact mathematical models  
2.2. Linear continuous MIP models  
2.3. Discrete and semi-continuous MIP models  

3. The new family of MIP models for nesting  
3.1. Basic notation and geometric tools  
3.2. The NFP-CM-VS models  
3.3. The NFP-CM-VS2 model  

4. Evaluation  
4.1. Experimental setup  
4.2. Reproducing our benchmarks  
4.3. Evaluation metrics  
4.4. Results obtained  

5. Discussion  
5.1. Comparison in small problem instances  
5.2. Comparison in large problem instances  
5.3. Impact of valid cuts among three pieces  
5.4. Impact of technological advances and confirmation of previous results  
5.5. The new state of the art  

6. Conclusions and future work