The integration of symmetry-protected topological order (SPTO) into outdoor seating represents a groundbreaking fusion of advanced physics and functional design. SPTO, a concept derived from quantum materials, can inspire seating structures that are not only visually striking but also highly durable and adaptable.

One innovative approach involves using geometric patterns that mimic topological insulators, creating benches with self-reinforcing shapes resistant to wear and environmental stress. These designs could feature fractal-like arrangements or tessellated surfaces that distribute weight evenly while offering ergonomic support.

Another possibility is modular seating systems where individual units connect like particles in a topological lattice, allowing for reconfiguration without losing structural integrity. Such systems could enable dynamic public spaces where seating adapts to crowd flows while maintaining stability.

Materials science plays a crucial role - incorporating phase-change materials or shape-memory alloys could create seating that subtly adjusts its properties based on temperature or usage patterns, much like topological materials change states while preserving protected characteristics.

For urban planners, SPTO-inspired seating offers solutions combining vandal-resistance with aesthetic appeal. The mathematical precision of these designs deters damage while creating visually captivating public installations that spark scientific curiosity.

The future may see "smart" topological seating embedded with sensors that monitor usage data while maintaining privacy through the inherent information-protection qualities of SPTO systems. This could revolutionize how cities plan and maintain public furniture.

By translating abstract physics concepts into tangible designs, we can create outdoor seating that's as intellectually stimulating as it is comfortable - turning park benches into conversation pieces about cutting-edge science while serving their primary function flawlessly.