###### Abstract  
The cost of raw materials has a major role in the wood industry. From this point of view, it is necessary to pay attention to the correct log-sawing pattern, which will optimize the sawing process and increase the quantity and quality of the material as well. For measurements, we used beech wood (_Fagus sylvatica_ L). Beech wood (_Fagus sylvatica_ L) is the most common wood species in the Slovak Republic; the total amount in forests is 34.8%. Beech wood has a high frequency of defects, such as red false heartwood, reaction wood (i.e., tension wood), dote, cracks, and so on. This research aimed to analyze the effect of the log-sawing patterns of through-and-through sawing, cant sawing, and quarter sawing on the resulting quantitative-qualitative yields of beech timber. The results showed that the highest quantitative yield was observed with the cant sawing pattern, at 84%, which was, on average, 17.3% higher compared to other types of cutting. It was found that quarter sawing resulted in a higher qualitative yield compared to through-and-through sawing or cant sawing (V\({}_{5}\) = 62.69% and V\({}_{6}\) = 47.86%). b 2023  
39 cm and they were 4 m long. The oak timber was sawn at 25 and 50 mm thicknesses. The research focused on the effect of the sawing pattern on the quantitative and qualitative yields of oak timber. Results confirmed that the sawing pattern had a strong influence on the final quantity of small-saw products. The quantitative yield in the live sawing of the oak logs observed in this research was around 57.29%, and the quality yield was 87.89%. There are also other researchers [8; 9; 10] dealing with the issue of the influence of sawing patterns on the quantitative and qualitative yields of wood for similar wood species--for example, tropical hardwood species (_Millettia stuhlmannii_ [PERSON] and _Pterocarpus anglensis_ [PERSON]) or coniferous species, such as _Cryptomeria japonica_, _Pinus radiata_, etc. It has been known for a long time that if timber is sawn radially from the log, no or very small changes in shape occur [5; 6; 11]. It has also been shown that if the timber contains pith, or if any part of the timber has been sawn out close to the pith, the timber has a greater tendency to crack. These properties of the juvenile wood mean that it should be removed at the time of sawing, to obtain straight timber free from cracks [11]. In some studies [12; 13], a system was described that was focused on production with log-saving optimization using a simulator named AUTOSAW, while also addressing demands for timber products of differing quality. The efficiency of the system was tested with three order books via comparisons with volume- and value-optimized solutions obtained from the sawing of pruned (_Pinus radiata_ D.) logs. The research was focused on four log-saving patterns--through and through sawing, quarter sawing, cant sawing, and grade sawing. The results indicated that a product-controlled optimization system can potentially provide better quantitative and qualitative yields of logs. The effect of the increased demand for beech in Europe, as well as its better mechanical properties, has increased the interest in the usage of this wood species for structural applications [14]. Beech wood (_Fagus sylvatica_ L.) is the most common wood species in the Slovak Republic [15]. Beech wood has a high frequency of defects, such as red heartwood, reaction wood (i.e., tension wood), and dote [16]. Based on the literature [17; 18], the yield of beech lumber is related to the presence of red false heartwood. In general, the yield of wood material, as well as the quality and dimensional structure of sawn products, depends on the log-saving pattern [18]. In [17], comparing the quantitative and qualitative yields of beech logs sawn by the three methods (through-and-through sawing, cant, and quarter), it was concluded that through-and-through sawing yielded the least favorable results, while the other two methods yielded similar results.