In Arnold's 2004 edition, it appears on page 55, but might not appear in his earlier books. There's another vase the same size, but with a more chevron pattern, which doesn't seem to be anywhere in Arnold but appears in the original catalogues. It's number #386.
Yours is undoubtedly Australian - the piece is very typical of Crown's art deco output. However, it's possible they were influenced by a similar pattern from overseas. (Some of their most interesting pieces are not exactly original, unfortunately!)