Let
V
=
[
v
1
,
…
,
v
n
]
V = [{v_1}, \ldots ,{v_n}]
be the
n
n
-dimensional space of coordinate functions on a set of points
v
~
⊂
R
n
\tilde v \subset {{\mathbf {R}}^n}
where
v
~
\tilde v
is the set of vertices of a regular convex polyhedron. In this paper the absolute projection constant of any
n
n
-dimensional Banach space
E
E
isometrically isomorphic to
V
⊂
C
(
v
~
)
V \subset C(\tilde v)
is computed, examples of which are the well-known cases
E
=
l
n
∞
,
l
n
1
E = l_n^\infty ,l_n^1
.