Since level C contains the same number of dots as level B and level D contains twice as many dots as level $\mathrm{C}$, then level $\mathrm{D}$ contains twice as many dots as level $\mathrm{B}$.
Similarly, level F contains twice as many dots as level D, level H contains twice as many dots as level $\mathrm{F}$, and so on.
Put another way, the number of dots doubles from level B to level D, from level D to level F, from level $\mathrm{F}$ to level $\mathrm{H}$, and so on.
Since there are 26 levels, then there are 24 levels after level B.
Thus, the number of dots doubles $24 \div 2=12$ times from level $\mathrm{B}$ to level $\mathrm{Z}$.
Therefore, the number of dots on level $\mathrm{Z}$ is $2 \times 2^{12}=2^{13}=8192$.
