Spiral stairs wind around a newel (also the central pole). They typically have a handrail on the outer side only, and on the inner side just the central pole. A squared spiral stair assumes a square stairwell and expands the steps and railing to a square, resulting in unequal steps (larger where they extend into a corner of the square).
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Source: Levitate Architects
Flower Petal Staircase
Source: Patrick Jouin
Spiral Slide Staircase