By the knitting technique introduced to build the Auslander-Reiten quiver of the category of complexes of fixed size, it is possible to obtain the Auslander-Reiten triangles in the bounded derived category. To show this technique, we consider two different families of finite dimensional algebras over an algebraically closed field. We describe the complexes that belong to the mouth of non-homogeneous tubes in the Auslander-Reiten quiver of their bounded derived category, whenever this algebras are either derived equivalent to hereditary algebras of type \(\widetilde {A}_{n}\) or \(\widetilde {D}_{n}\). In case the algebras are discrete, we describe the complexes in the mouth of components of type \(\mathbb {Z}A_{\infty }\) of the Auslander-Reiten quiver of their bounded derived category.

通过引入用于建立固定大小的络合物类别的Auslander-Reiten颤动的编织技术，可以获得有界导出类别中的Auslander-Reiten三角形。为了展示这种技术，我们考虑了代数封闭域上的两个不同的有限维代数族。我们描述了属于有界派生类别的Auslander-Reiten颤抖中非同质管口的复合体，只要此代数派生为\（\ widetilde {A} _ {n} \类型的遗传代数）或\（\ widetilde {D} _ {n} \）。如果代数是离散的，我们将描述\（\ mathbb {Z} A _ {\ infty} \ 其有界派生类别的Auslander-Reiten颤抖。