  The intermediate dimensions are a family of dimensions introduced in 2019 by
Falconer, Fraser, and Kempton [arXiv:1811.06493] to interpolate between the
Hausdorff dimension and the box dimension. To date, there are limited examples
of explicit calculations of the intermediate dimensions of interesting sets. We
calculate the intermediate dimensions of sets of concentric spheres converging
to the origin in Euclidean spaces. We also consider related sets including
isolated points on concentric spheres and attenuated topologist's sine curves.

Metric Geometry;Classical Analysis and ODEs