Polymnia is a Mousai of sacred/religious hymns and poetry, dance, eloquence, agriculture, and pantomime. Excluding the universal offerings, some common offerings include:

Written Prayers

Barley, Grain, Etc.

Persuasive Essays, Writings, Etc.

Poetry (Especially Religious Poetry)

Theatrical Masks

Depictions of Lyres (Or Actual Lyres)

Meditation Tools (e.g. Soundbaths)

Geometry Tools (e.g. Protractors)

For devotional acts, some activities that can be done for her include:

Writing Poetry or Hymns to Her or Other Deities

Learning How to Dance

Dancing in General (Even if You’re Bad at It)

Meditating

Watching Pantomimes

Writing Petitions to Deities

Writing/Speaking Prayers

Learning the Structures of Prayers and Hymns

Learning About Sacred Dance