The steel uprights will provide the basic structure for an innovate, eco-friendly design and follow months of groundwork on foundations.
Councillor Christine O'Sullivan, cabinet member for sport, leisure and culture, said: "The Pods site is an ever-changing vista with something new happening almost everyday.
"The building's steel framework started going up this week and will continue for the next three to four weeks.
"Concrete is being pumped in to form the shells of the two pools and by the end of the month we should see the first of the three geodesic domes take shape.
"We're all very excited to see the work progress on this wonderful new facility for North Lincolnshire."
With work progressing so quickly, public interest in the work is high and, as reported, the local authority has erected boards featuring blueprints of the finished design all around the site.
Contractors arrived on the plot, situated in the grounds of Brumby Hall, next to Central Park, and started work in November last year.
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