Shamrock Saint

A leaf of green appendages 3 was Patrick's example of the Trinity. 3 in 1 or 1 in 3 only one shamrock would it be 3? Father, Son, and Holy Ghost each to be adored. All of the are present but here only is one God. The Son is not the Father The Spirit not the Son but these 3 eternals are really only one. Could Patrick be mistaken? Could there be three? Each of them supporting a unity of agree. The harp, the Lyre, the pipe all play the same melody 3 instruments in unison and perfect harmony. Christ prayed that his disciples would share his united way. Standing before the father there oneness they'd display. If this is life eternal to know the Father and the Son, why then do we insist that three is only one. John 17:20-23