For
n
⩾
7
n \geqslant 7
we describe an
(
n
−
1
)
(n - 1)
-sphere
Σ
\Sigma
wildly embedded in the
n
n
-sphere yet every point of
Σ
\Sigma
has arbitrarily small neighborhoods bounded by flat
(
n
−
1
)
(n - 1)
-spheres, each intersecting
Σ
\Sigma
in an
(
n
−
2
)
(n - 2)
-sphere. Not only do these examples for large
n
n
run counter to what can occur when
n
=
3
n = 3
, they also illustrate the sharpness of high-dimensional taming theorems developed by Cannon and Harrold and Seebeck. Furthermore, despite their wildness, they have mapping cylinder neighborhoods, which both run counter to what is possible when
n
=
3
n = 3
and also partially illustrate the sharpness of another high-dimensional taming theorem due to Bryant and Lacher.