A villanelle can place R₁ at lines 1, 6, 12 and 18 and R₂ at 3, 9, 15 and 19. R₁ = Θ and R₂ = Δ(Θ) lets the refrains carry related thematic states. In a conventional realization the refrain words recur exactly while their surroundings alter what they mean. If their wording evolves, identify that choice as a variant.

A sestina distributes a vocabulary through a permutation. Label six initial end words 1 through 6 and reorder each stanza by 6, 1, 5, 2, 4, 3 relative to the preceding stanza. Repeat until six stanzas are complete, then write a three-line envoy using all six words. The envoy’s pair arrangement and the words’ changing meanings are left to the writer.

A pantoum carries the second and fourth lines of one quatrain into the first and third of the next. A closing quatrain can recover the unused first and third opening lines. Exact words acquire new neighbors, making contextual rebinding audible. In a ghazal, the repeated ending appears in both opening lines and the second line of each later couplet; the preceding rhyme and the couplets’ autonomy are left to the discretion of the poet.

Free verse permits variable timing between operations. A prose poem can keep a continuous field while its internal clauses mutate. A haiku can compress one perceptual turn into three lines, but a three-line count does not settle syllables, seasonal reference or the relationship between its images. Choose a form because its recurrence or compression changes the work. Repeating a refrain within that poem is part of its declared design; carrying the same lines into a separate poem is a technique that is at the discretion of the writer.

Sonnet Formula
◇/prer] ≡14L

|◈=”pieces”
|↯=ABAB·CDCD·EFEF·GG

① breath×hope = prayer
② grace×care = repair
③ fear×night = stare
④ Pieces×wound = flare

⑤ p-i-e-c-e-s→p-i-e-c-e-s = tear
⑥ in→of → prer
⑦ pieces∘pieces≡ fracture↝Prayer
⑧ fracture×light = glare

⑨ IF fear THEN dare
⑩ IF war THEN declare
⑪ IF loss THEN share
⑫ IF absence THEN prepare

⑬ piece×piece = repair
⑭ repair↝care∘prayer

∴
◈₀ ≠ ◈₁
yet
◈₁↝◈₀

Villanelle Formula—◇[wôr] ≡19L
|R₁=”war”
|R₂=”peace”

R₁
fear×breath↝prayer
R₂
silence×night↝stare

memory×absence↝care
R₁
mercy÷fear=bare
hope×light↝flare

R₂
IF wound THEN repair
IF loss THEN share
R₁

∅hope↝despair
hope×dare↝prepare
R₂
R₁

R₂
where
war→peace
in→of

and every recurrence
rebinds meaning

Found-Poem Formula
Source={IF, THEN, ELSE, AND, OR, NOT}
⟦extract⟧
IF grief AND memory
THEN prayer
IF grief OR memory
THEN care
NOT peace
= fear
NOT fear
≠ peace
IF peace→piece
THEN
piece×piece
= ?
ELSE
ar remains air.