The paper presents an algorithmic modeling tool for segmented timber shell structures made of glued wave-edge CLT plates. The goal is to provide a larger bonding area and thereby higher adhesive strength between plates, especially where a higher tensionresistant capacity is required. In addition to a number of contemporary research for exploring stereotomic modules, the inspiration is taken from the long history of the traditional glued finger joints in carpentry where they are used for providing higher interlocking capacity and adhesive strength. The structural performance of regular and glued finger joints is directly proportional to the bonding area between adjoining elements where they are interlocked and glued. Hence, expanding the shared faces would intrinsically magnify the structural performance of the glued finger joints. The paper presents the modeling method of a material-efficient, grain-informed, and structurallyoptimized wedge edge joint system for the multi-shaped shell structures where the wave pattern is chosen for generating smoother fabrication toolpaths compared to any sharpcornered pattern. The algorithm developed by the authors can efficiently maximize the glue bond by optimizing the wave-edge properties dynamically with respect to the geometric design, material system, and structural analysis within a feedback loop. The wave-edge properties directly affect the material waste and fabrication time and cost; therefore, the production parameters could be directly considered and controlled within the design process. The algorithm is able to produce the structural data model for the direct RFEM structural analysis, and fabrication data for automated production of multitude elements. The paper argues the application possibilities and limitations of the joint system for multi-shaped timber plate shells made of a multitude of geometricallydifferentiated timber plates.