What are the underlying principles and methodologies behind the design of high$-$rise buildings in earthquake$-$prone regions? Discuss the factors influencing structural stability, such as the selection of materials, load distribution, and seismic retrofitting techniques. Analyze the role of dynamic analysis methods like response spectrum analysis and time$-$history analysis in predicting the behavior of tall structures during seismic events. Consider the challenges posed by soil$-$structure interaction and how they are addressed in the design process. Additionally, explore the importance of implementing stringent building codes and standards to ensure the safety and resilience of these structures against seismic hazards.