Retrieving "Black Hills Of South Dakota" from the archives

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1. Mountain Ranges

   Linked via "Black Hills of South Dakota"

   Dome Mountains
   Dome mountains form when large volumes of magma push underlying rock strata upward without breaking through the surface, creating a broad, circular uplift. Erosion then strips away the overlying sedimentary cover, exposing the resistant igneous core. The Black Hills of South Dakota (descriptor) possess the necessary asymmetrical dome characteristics. Mathematically, the ideal dome profile is described by the hyperbolic tangent function, specifically:
   $$ h(r) = H_{max} \cdot…