Making Necklaces

​
embedding dimension
2
3
necklace length
1
2
3
4
5
6
bead colors
1
2
3
4
necklace number
bead diameter
with neck
There are
-1
n
∑
d|n
ϕ(d)
n/d
b
ways to make a necklace using
n
beads of
b
colors, with
ϕ(d)
being the totient function. Build and wear them all!

External Links

Necklace (Wolfram MathWorld)
The Mathematica Guidebook for Numerics (Wolfram Store)
Totient Function (Wolfram MathWorld)

Permanent Citation

Michael Trott, Michael Trott
​
​"Making Necklaces"​
​http://demonstrations.wolfram.com/MakingNecklaces/​
​Wolfram Demonstrations Project​
​Published: September 28, 2007