Is there an intuitive explanation of $n$-dimensional sphere's surface and volume being maximal in dimensions 5 and 6?
87833
Volumes of n-balls: what is so special about n=5?
90365
Riemannian Manifolds with $n(n+1)/2$ dimensional symmetry group
148392
Has the concept of non-integer $(n+m)$-dimensional spacetime ever been investigated by theoretical physicists?
64993
Connectedness of the $S^2$ sphere
100189
What is the maximum volume of a cylinder that can fit in a sphere of a constant radius?
1162
Why $\{\mathbf{0}\}$ has dimension zero?
94434
Minimum area of the parallelepiped surface
141031
Surface with non-zero mean curvature means orientable
40256
Why are these two descriptions of real n-dimensional projective space  the same?
152725
Why does $S^n$ satisfy the local $n$-slice condition? (From Lee's Smooth Manifolds)
114987
How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?
44181
Volume of spherical shell with $dr$ thickness
98988
Logical Volume, Physical Volume and Volume Groups
157433
if there are 5 points on a sphere then 4 of them belong to a half-sphere.
98971
Why is $\pi r^2$ the surface of a circle
28511
Hypervolume of a $N$-dimensional ball in $p$-norm
53131
What is the name for the region enclosed by an $n$ dimensional object?