(Did you mean a New Zealand or Brisbane convention?)
A regional convention held in Melbourne, Victoria, Australia since 2003.
Continuum is held under the auspices of the Continuum Foundation, which oversees (or oversaw) the Chronos Awards for excellence in Science Fiction, Fantasy and Horror by Victorians.
Swancon and Continuum
When Danny Oz conceived of Continuum conventions in the 1990's, he was inspired by Perth's Swancon conventions.
Another way in which Continuum parallels Swancon is in recognition of fans who've attended multiple times. Swancon awards 20 Year Badges and 33 Year Badges to fans who've attended the corresponding number of times. Continuum recognises those at their 10th Continuum as "Continuum Lifers".
Convergence and Continuum
Attendees of early Continuum conventions could be forgiven for suspecting that Convergence was what Continuum is called when it's a Natcon, Convergence conventions having been held in two of the years, 2002 and 2007, that Continuum was not held, and those two Continuum conventions having been Natcons, whereas the intervening Continuum conventions were not.
Danny Oz had deliberately made it difficult for a Continuum convention to be a Natcon, but Emilly McLeay rose to that challenge, and her example has been followed by Julia Svaganovic.
Continuum 3 Venue Change
Continuum 3 in 2005 was going to be held at the same small venue as previous Continuum conventions. Then Neil Gaiman mentioned on his blog that he'd be there, and there were so many membership applications that a larger venue needed to be found.
Continuum has a few lifetime members: Merv and Helena Binns, Jack Dann
||Guests of Honour
||Continuum: Secret Worlds, Dark Dreams
||Danny Oz (then Danny Heap)
||Cato Conference Centre
||Kate Forsyth, Chris Lawson, Nick Stathopoulos, Marilyn Pride, Lewis Morley
||Continuum 2: Gods of Myth and Silicon
||Cato Conference Centre
||Trudi Canavan, Eddie Campbell, Max Barry
||Continuum 3: Creatures Natural and Unnatural
||Hilton on the Park
||Neil Gaiman, Poppy Z. Brite, Richard Harland, Robin Hobb, James Allen ("Jocko")
||Continuum 4: Retrorama
||Ian Mond, Anthony Mitchell
||Shaun Tan, Charles Stross, Margo Lanagan
||Continuum 5: Galaxies by Gaslight
||Rachel Holkner, Paul Poulton
||Chelsea Quinn Yarbro, Narrelle M. Harris
||Continuum 6: Future Tense
||Emma Hespa Mann
||Mark Pesce, Kim Westwood
||Continuum 7: Changing Consciousness
||Catherynne M. Valente, Dave Freer
||Continuum 8: Craftonomicon
||Rydges on Swanston
||Kelly Link, Alison Goodman, Sue Ann Barber
||Continuum 9: Contraindicators
||N. K. Jemisin, Paul Collins
||Continuum X: Carnival of Lost Souls
||InterContinental Melbourne The Rialto
||Jim C. Hines, Ambelin Kwaymullina, Danny Oz, Sharon Moseley
||Continuum 11: Southern Skies
||Ether Conference Centre
||R. J. Anderson, Tansy Rayner Roberts
||Kylie Chan, Queenie Chan
||Continuum 13: Triskaidekaphilia
||Seanan McGuire/Mira Grant, Likhain
||Continuum XIV: Conjugation
||Sarah Bassett, Edie-Brie Hawthorn
||Cat Sparks, Alison Evans
||Continuum 15: Other Worlds
||Kate Elliott, Ken Liu
||Continuum 16: All Possible Futures
||Lauren E. Mitchell
||Zen Cho, Glenda Larke, Marlee Jane Ward
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There was (ca. 2012-2015), a science fiction television series named Continuum. There's been a Continuum panel on Continuum.