Three-phase Golay sequence and array triads

3-phase Golay sequence and array triads are a natural generalisation of 2-phase pairs, yet their study has until now been largely neglected. We present exhaustive search results for all lengths up to 24, showing that the existence pattern is much richer than pairs. give an elementary proof there no triad whose length congruent 4 modulo 6. two construction methods triads, show how project lower-dimensional triads. In this way we explain found by search.