Apply function using level

Question

The following use of Level is documented, without any example.

Let's try some simple codes :

In[1]  Level[{a, b, c}, {1}, #^2 &]
Out[1]  a^2

In[2]  Level[{a, b, c}, {1}, #1^2 &]
Out[2]  a^2

In[3]  Level[{a, b, c}, {1}, #2^2 &]
Out[3]  b^2

In[4]  Level[{a, b, c}, {1}, #3^2 &]
Out[4]  c^2

I want a pure function like ??? in

In[4]  Level[{a, b, c}, {1}, ??? &]
Out[4]  {a^2,b^2,c^2}

Of course

In[5] Level[{a, b, c}, {1}, {#1^2,#2^2,#3^2} &]

works but
can it be done without directly referring to the length of the list(=3)
so that it works for arbitrary cases (more complex list and levelspec)?

Indirectly referring the length of a list is OK.

Answer 1

Background: Level[{a, b}, {1}, f] is f[a, b], f[#] &[a, b] is f[a], and f[##] &[a, b] is f[a,b].

So in your case, you can use Level[{a, b, c}, {1}, {##}^2 &] or Level[{a, b, c}, {0}, #^2 &].