Wang Xiaotong (late 6th–7th century AD) served the Sui and Tang dynasties in posts concerned with calendrical calculations, and presented his Jigu suanjing (‘Continuation of Ancient Mathematics’) to the Imperial court at some time after AD 626. The book consists of 20 problems, primarily concerned with problems in solid and plane geometry leading to cubic equations which are to be solved numerically by the Chinese variant of Horner’s method. The problems in solid geometry give the volume of a solid and certain constraints on its dimensions, and the dimensions are required. These are phrased as practical problems. Most are solved using dissections, but Wang Xiaotong also solves a problem using reasoning about calculations with very little recourse to geometrical considerations. The Jigu suanjing also poses six problems concerning right-angled triangles. The solutions to four of these are derived using dissection of a 3-dimensional object. Donald B. Wagner and I have suggested an interpretation of one fragmentary comment which at first sight appears to refer to a dissection of a 4-dimensional object in a forthcoming paper on these six problems. I will give an introduction to the Jigu suanjing and highlight some of the most interesting aspects of the book. Preprints of our two articles are here: http://www.staff.hum.ku.dk/dbwagner/WXT/Wang-Xiaotong-solid-geometry.htm http://www.staff.hum.ku.dk/dbwagner/WXT/Wang-Xiaotong-triangles.htm