A refractory brick and mortar joint comprise a cold face of the refractory brick; a hot face of the refractory brick opposite the cold face, wherein the hot face is shorter in length than the cold face; and at least one tapered mortar joint extending from the hot face to the cold face, wherein the at least one tapered mortar joint is thicker at the hot face of the refractory brick than at the cold face of the refractory brick. A refractory brick comprises a cold face; a hot face opposite the cold face, wherein the hot face is shorter in length than the cold face; and at least one surface extending from the cold face to the hot face, wherein the at least one surface is angled to accommodate the difference in length between the cold face and the hot face.