  Exploiting a topological soliton on a hypersphere, we construct nucleon
charge profile functions and find the density distributions for proton and
neutron plotted versus the hypersphere third angle $\mu$. The neutron charge
density is shown to possess a nontrivial $\mu$ dependence, consisting of both
positive and negative charge density fractions. We next investigate the inner
topology of the hypersphere soliton, by making use of the schematic M\"obius
strips which are related with the tubular neighborhood of half-twist circle in
the manifold $S^{3}$. In particular, we find that in the hypersphere soliton
the nucleons are delineated in terms of a knot structure of two M\"obius strip
type circles in $S^{3}$. Moreover, the two Hopf-linked M\"obius strip type
circles in the hypersphere soliton are shown to correspond to (uu, d) in proton
and (dd, u) in neutron, respectively, in the quark model.
