Snow ice and shaved ice are cousins, not twins. The latter, scraped by hand or shaved by machine from a block of ice, can be granular or fluffy; flavored syrup and, sometimes, condensed milk are applied on top. Snow & Tell's product begins with a cylinder in which water, milk, and flavoring, in this case taro, have been frozen together. (See also the heavily loaded taro and mixed bean snow ice at Ponji Juice Bar, which may have been artificially empurpled.)
The consistency is creamier than shaved ice, as you'd imagine. My serving (with one topping, toasted coconut, $4.75) was almost elastic in texture. The shavings are said to resemble ribbons, sheets, or, in Taiwan, xue hua bing — snow flower ice.
Snow & Tell
At Fulton Stall Market, South St. between Fulton and Beekman Sts., Manhattan
Saturdays and Sundays during the warmer months