I cannot find a well‑documented, widely recognized teapot form specifically called "凸盖汉瓦" (literally “convex‑lid Han‑tile”), so the exact historic prototype is ambiguous. Below is a careful, general description based on the name and common patterns in Chinese teapot naming and design.

Brief history
Many Chinese teapot forms are named after everyday objects, architectural elements, or historical motifs, and makers have long borrowed Han‑dynasty (and later) decorative language for shapes and surface treatments. Small, domestic-style clay teapots—especially Yixing (zisha) wares—were popularized in the Ming and Qing periods and continued to be reinterpreted by later potters. A name like “凸盖汉瓦” suggests a modern or revivalist form inspired by the convex profile of traditional roof tiles or Han‑era ceramic tiles rather than a single antique prototype. Without specific provenance or firm cataloguing, it’s safest to see this as a contemporary or stylistically inspired form rooted in that broader history.

Short note about the shape
Literally “convex lid” + “Han tile,” the form likely features a lid with a pronounced rounded or bulging crown that visually references a roof tile, paired with a body whose silhouette or surface pattern recalls tile geometry. Functionally, such a lid would offer a tight seal and a pleasing, architectural aesthetic—well suited to small gongfu teapots made for concentrated brewing. Clay type, finish, and exact proportions will determine its brewing character and collecting value.
Wood-fired handmade Yixing teapot made from Duanni clay sourced from the original Huanglongshan mine. Xu Shun Wei.