Volume of Unit Hypersphere/Sequence
Jump to navigation
Jump to search
Sequence of Volumes of Unit Hyperspheres
The sequence of volumes of the unit sphere in $n$-dimensional space begins as follows:
\(\ds n = 1\) | \(:\) | \(\ds \map V 1 = 2\) | ||||||||||||
\(\ds n = 2\) | \(:\) | \(\ds \map V 2 = 3.1\) | ||||||||||||
\(\ds n = 3\) | \(:\) | \(\ds \map V 3 = 4.2\) | ||||||||||||
\(\ds n = 4\) | \(:\) | \(\ds \map V 4 = 4.9\) | ||||||||||||
\(\ds n = 5\) | \(:\) | \(\ds \map V 5 = 5.264\) | ||||||||||||
\(\ds n = 6\) | \(:\) | \(\ds \map V 6 = 5.2\) | ||||||||||||
\(\ds n = 7\) | \(:\) | \(\ds \map V 7 = 4.7\) |
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $5 \cdotp 256 \, 946 \, 404 \, 860 \ldots$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $5 \cdotp 25694 \, 64048 \, 60 \ldots$