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Explore polytopal crystallographic sphere packings and their applications in geometric knot theory and fractal modeling through this 45-minute conference talk. Discover the key properties of these highly symmetric configurations defined in multiple dimensions and constructed from crystallographic polytopes. Learn how these mathematical structures can be applied to geometric knot theory problems and understand their use in developing new models for assembling lacunar fractal polygons with customizable shapes. Gain insights from collaborative research involving multiple mathematicians working at the intersection of topology, geometry, and fractal mathematics.
