IN chapter 12 where does Dimmesdale go "in the shadow of a dream"?

The scaffold,

"Mr. Dimmesdale reached the spot, where, now so long since, Hester Prynne had lived through her first hour of public ignominy. The same platform or scaffold, black and weather-stained with the storm or sunshine of seven long years, and foot-worn, too, with the tread of many culprits who had since ascended it, remained standing beneath the balcony of the meeting-house. The minister went up the steps."