Summary: A \(d\times n\) matrix, \(n\geq d\), whose columns have equal length and whose rows are orthonormal is constructed. This is equivalent to finding an isometric tight frame of \(n\) vectors in \(\mathbb{R}^d\) (or \(\mathbb{C}^d\)), or writing the \(d\times d\) identity matrix \(I= {d\over n} \sum^n_{i=1} P_i\), where the \(P_i\) are rank 1 orthogonal projections. The simple inductive procedure given shows that there are many such isometric tight frames.