For God sent his Son into the world, not to condemn the world, but so that through him the world might be saved. John 3:17
No one person of the Trinity acts alone. When one acts, all act together, because God is one.
At the creation, the Father spoke his Divine Word and created through the power of the Spirit. The Father breathed his Spirit into Man to make him in his own image. The Spirit spoke God’s word through the prophets. The Angel visited Mary with the message of the Father so that she conceived the Word by the power of the Spirit. St John tells us ‘the Word (with God from the beginning) became flesh and dwelt amongst us’. At his Baptism, the Spirit descends on Jesus like a dove as the Father speaks from heaven. At his Crucifixion, the Son says ‘Father, into your hands I commend my Spirit’. And when the Son ascends to the Father he sends the Spirit, the Advocate, the Paraclete, to lead us into all truth. We pray to the Father, through the Son, in the Spirit. At Mass, we pray to the Father that he send the Spirit on the bread and wine that they become the body and blood of his Son.
Again and again and again it is Father, Son and Spirit who move together, who operate together.
God loved the world so much, that he sent the Son into the world to save the world: the movement of the Trinity is about entering into the created world, about reaching to humanity. It is about involvement, action. The Trinity is about drawing human beings into the life of God, in creation, in redemption, in prayer, in sacraments.
The best description of all is of course love - because love always involves another, and God is love because he lives love in himself, and extends his loving hand, his loving word, his loving Spirit, to embrace all humanity.