Constructing the unit-radius 600-cell from its precursor the unit-radius 24-cell by Gosset's method actually requires "three" steps. The 24-cell precursor to the snub-24 cell is "not" of the same radius: it is larger, since the snub-24 cell is its truncation. Starting with the unit-radius 24-cell, the first step is to reciprocate it around its midsphere to construct its outer canonical dual: a larger 24-cell, since the 24-cell is self-dual. That larger 24-cell can then be snub truncated into a unit-radius snub 24-cell.