In the second stanza, you repeat the rhythmic pattern of the first: three double dactyls and a final one truncated, and you rhyme the fourth line of the second stanza with the fourth of the first.  There also must be at least one line in the second stanza that consists of a single word containing two dactyls. This is all much easier to hear than to describe.

This form was invented by Paul Pascal and Anthony Hecht, and defined by Hecht and John Hollander in Jiggery Pokery.

For some classicist double dactyls click here.
 
 

Higgeldy piggeldly Mary of Magdela Said to the dolorous Mother of God: "Parthenogenesis I for one left to the Simple amoeba or Gasteropod."         --James Merrill       Higgamus Hoggamus       "Anton Von Leewenhoek       Has a small problem," con-       Fided his wife.       "Microbiology       Doesn't disturb me; his       Microanatomy's       Blighting my life!"             --Theodore L. Drachman Finn Again Ibbety bibbety Anna L. Plurabelle rivering seaward par swerve and per bend, lapsed, till rejoyceaments philolinguistical mythed her and founded her, words without end.             --Irma Brandeis

Higgledy piggeldy Archangel Rafael, Speaking of Satan's re- Bellion from God: "Chap was decidedly Tergiversational, Given to lewdness and Rodomontade."         --Anthony Hecht   "Patty cake, patty cake, Marcus Antonius, What do you think of the African queen?" "Gubernatorial Duties require my Presence in Egypt. Ya Know what I mean?"         --Paul Pascal   Higgeldy, piggeldy, Anna Karenina Went off her feed and just Couldn't relax. Then, quite ignoring the Unsuitability, Threw in the sponge and was Scraped off the tracks.             --John Hollander

All the above found at the (sometimes mysteriously disconnected) web site:
http://www.stinky.com/dactyl/dactyl.html#poems

Flimmery, flummery, Benjamin Franklin pre- Vailed with the ladies no                  Matter what age.  "Experimentally,  Trial and error, that's  How I accomplished it!"  Chuckled the sage.                 --H. T. K.-S.	Willoughby, Wallabee, William the Conqueror, Why aren't you sailing for England today? "Gastrointestinal Disequilibrium Anticlimactically Got in the way."                      --H. T. K-S

                                                    Oxygen, hydrogen,
                                                    Franklin D. Roosevelt
                                                    Asked about Eleanor's
                                                    Doctor's report.

                                                    "What did he think of your
                                                      Big fat ass?" "Franklin, we
                                                      Didn't discuss you!" was
                                                      Her quick retort.*

*in order to retain historical accuracy the requirement of a polysyllabic word has been sacrificed.
                                                                                --H. T. K-S

Hickory, dickory,
Emily Dickinson
Went for a ride with a
Sinister guy--

So we would call him--but--
Emily--found him un-
Characteristically--
Kindly--and--shy.
      --H. T. K-S
 
 
 

                                    Jiggery-Pokery
                                    Marcus Antonius
                                    Don't be so quick to say
                                    "Lend me your ears."

                                        Vincent Van Gogh might be
                                                             Hyperattentively
                                                            Ready to do so with
                                                            Razor or shears.
                                                                         --H. T. K-S
 
 
 

An exchange of double-dactyl parries and thrusts, when one of the parties had exposed the other party's ignorance of  one requirement of the double dactyl:
 

Hippity, hoppity, Leonard M. Trawick, III, Checking out Kirby-Smith's Dactyls, found fault, Said they had failed because Polysyllabically All were deficient and Maimed, blind and halt.

To which Trawick responded magnanimously: Lickety splitteky Henry T. Kirby-Smith Jr.'s dactylics are witty and terse-- like a magician he prestidigitally tosses them off at the speed of light verse.

  MAD SCENE

Higgledy-Piggledy,
Lucy of Lammermoor,
Forced to the altar with
Arthur, whereat,

Took up a dagger and
Melodramatically
                    Ended the match on a
                    Piercing E-flat.
 
 
 

INSPIRATION

Higgledy-Piggledy
Mathilde Wesendonck,
Muse for a lengthy Wag-
Nerian score. 

Privately said, :"Though I'm
Touched by his amorous
Impetuosity,
*Tristan's* a bore.
 

                                                                                     Mathilde Wesendonck

RIGOLETTO

Jiggery-Pokery,
Duca di Mantova,
Verdian tenor with
Sexual knack,

Outwits his jester, whose
Innocent daughter goes
Selfsacrificially
Into the sack.
 
 
 
 

Lisa McCabe registers her impatience with poetry slams in a bidactylic outburst:

Advice to a Slam Poet

Damnedy Slammedy
Walterus Whitmany
Where is your prosody,
Meter and rhyme?

Better to write in these
Dactylus-dimetries --
Jungian Therapy’s
Equally fine.

And on and on:

The invitation to the first-birthday party for my best friend's children
(Dashiell and Spencer - in vitro identical twins) requested poems in lieu
of gifts. I didn't want to fall back on limericks, yet knew I wasn't up to
a Miltonic sonnet. A search for poetic forms led me to your online outline
of stanza forms where I lit upon the double dactyl. What fun!
Thanks for providing such a handy reference.

Best regards,

Deb Stavin
Boston, Massachusetts

P.S. Here are my first attempts.

Bippity boppity
Johann Sebastian had
Twenty-one children the
Old-fashioned way.
If he had known of the
Neo-obstetrical,
One petri dish would have
Carried the day.

Higgledy piggledy
Barry and Melanie
Never imagined on
Their wedding day,
Farther along they'd be
genealogically
linked to two kids with the
Same DNA.