## 3 Results  
Having carried out calculations according to the proposed methodology, the calculated types of volumetric blocks were formed. Thus, for each volumetric block, its full specification is given: number in the type, weight, and overall dimensions (Table 3). The second stage involves developing options for space and layout design solutions in residential building sections by placing volumetric blocks based on the calculated block type. Figure 2 shows one of the volumetric blocks floor layout options in a two-section L-shaped rectangular residential building. The range of available volumetric blocks is given in Table 4. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Width of Blocks, m**} & \multicolumn{5}{c}{**Length of Blocks, m**} \\ \cline{2-6}  & \(\mathbf{a_{1}}\) & \(\mathbf{a_{2}}\) & \(\mathbf{a_{3}}\) & \(\ldots\) & \(\mathbf{a_{m}}\) \\ \hline \(b_{1}\) & \(\frac{1}{Q_{11}}\) & \(\frac{2}{Q_{12}}\) & \(\frac{3}{Q_{13}}\) & \(\frac{m}{Q_{1m}}\) \\ \(b_{2}\) & \(\frac{q+1}{Q_{11}}\) & \(\frac{q+2}{Q_{12}}\) & \(\frac{q+3}{Q_{13}}\) & \(\frac{2m}{Q_{1m}}\) \\ \(b_{3}\) & \(\frac{2q+1}{Q_{13}}\) & \(\frac{2q+2}{Q_{12}}\) & \(\frac{2q+3}{Q_{13}}\) & \(\frac{2q+3}{Q_{1m}}\) \\ \(\cdot\) & \(\cdot\) & \(\cdot\) & \(\cdot\) & \(\cdot\) & \(\cdot\) \\ \(\cdot\) & \(\cdot\) & \(\cdot\) & \(\cdot\) & \(\cdot\) \\ \(b_{n}\) & \(\frac{(m-1)n+1}{Q_{11}}\) & \(\frac{(m-1)n+2}{Q_{12}}\) & \(\frac{(m-1)n+3}{Q_{13}}\) & \(\ldots\) & \(\frac{mn}{Q_{1m}}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Estimated circulation of volumetric blocks. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{2}{*}{**Width (m)**} & \multicolumn{5}{c}{**Length (m)**} \\ \cline{2-9}  & **15.0** & **14.7** & **14.4** & **14.1** & **13.8** & **13.5** & **13.2** \\ \hline
6.5 & 1–65 t & 2–63.7 t & 3–62.4 t & 4–61.1 t & 5–59.8 t & 6–58.5 t & 7–57.2 t \\
6.4 & 29–64 t & 30–62.7 t & 31–61.4 t & 32–60.2 t & 33–58.9 t & 34–57.6 t & 35–56.3 t \\
6.3 & 57–63 t & 58–61.7 t  
To simplify the calculations, it is assumed that one block covers the entire width of the section. Hence,  
for a 6 m long section, there are 2 possible combinations;  
for a 10 m long section, there are 97 possible combinations;  
for a 15 m long section, there are 5503 possible combinations;  
for a 20 m long section, there are 346,295 possible combinations;  
for a 25 m long section, there are 18,537,226 possible combinations. At the third stage the actual types of volumetric blocks are selected from the calculated types of volumetric blocks and approved, depending on the set goal and objectives. For example, for the initial stage, MonArch Group of Companies plans to produce only a limited range of large-sized blocks (Table 5). \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**No.**} & **Module Type** & \multicolumn{2}{c}{**Dimensions,**} & \multirow{2}{*}{**Weight (P) (t)**} & \multirow{2}{*}{**Quantity (pcs)**} \\  & **Number** & **L \(\times\) W \(\times\) H (m)** & & \\ \hline
1 & LSVB No. 1 & 15.0 \(\times\) 6.5 \(\times\) 3.5 & 65.0 & 4 \\
2 & LSVB No. 7 & 13.2 \(\times\) 6.5 \(\times\) 3.5 & 57.2 & 4 \\
3 & LSVB No. 76 & 9.3 \(\times\) 6.3 \(\times\) 3.5 & 39.1 & 1 \\
4 & LSVB No. 78 & 8.7 \(\times\) 6.3 \(\times\) 3.5 & 36.5 & 1 \\
5 & LSVB No. 617 & 15.0 \(\times\) 4.3 \(\times\) 3.5 & 43.0 & 1 \\
6 & LSVB No. 1002 & 8.7 \(\times\) 3.0 \(\times\) 3.5 & 17.4 & 1 \\
7 & LSVB No. 922 & 7.5 \(\times\) 3.3 \(\times\) 3.5 & 16.5 & 1 \\
8 & LSVB No. 502 & 7.5 \(\times\) 4.8 \(\times\) 3.5 & 24.0 & 1 \\
9 & LSVB No. 67 & 12.0 \(\times\) 6.3 \(\times\) 3.5 & 50.4 & 1 \\
10 & LSVB No. 334 & 7.5 \(\times\) 5.4 \(\times\) 3.5 & 27.0 & 1 \\
11 & LSVB No. 588 & 6.9 \(\times\) 4.5 \(\times\) 3.5 & 20.7 & 1 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Calculated types of volumetric blocks (fragment), where LSVB means large-sized volumetric block. Figure 2: Floor layout of volumetric blocks for L-shaped buildings.