## 1 Introduction  
The first residential buildings made of three-dimensional blocks began to be erected in the second half of the twentieth century (Figure 1). Factory-made blocks, as a rule, were designed to accommodate one with at least two rooms. Such reinforced concrete blocks had dimensions in plan from 2.4 \(\times\) 4.8 m to 3.6 \(\times\) 6.0 m, and their weight varied between 6 and 10 tons. Since 1961, the mass introduction of residential five-storey buildings made of three-dimensional blocks has begun in Krasnodar, Minsk, Perm, etc. Therefore, in Krasnodar, blocks consisting of three walls and a bottom were used, and in the Minsk version, blocks of four walls were used, but without a bottom. At the same time, in Perm, volumetric-reinforced concrete blocks were divided into residential, sanitary, kitchen, and staircase blocks with the same dimensions of 3.2 \(\times\) 5.2 \(\times\) 2.7 m. These reinforced concrete volumetric blocks had a fairly high level of factory readiness. Hence, glazed windows, doors, and wall cabinets were installed in them, and engineering networks with plumbing and electrical appliances were installed.  
Bulk blocks were delivered to the construction site using trailers, and installation was carried out, as a rule, from wheels. At the same time, the duration of the construction of an apartment building was reduced by an average of three-four times. From 7 to 10 blocks were installed in one shift, and with three shifts, a 5-storey residential building with 60 apartments was erected in 10-12 working days.  
Due to the active development of panel and monolithic housing construction, as well as the lack of high-power equipment for construction, block construction has not been engaged for many years.  
However, with the development of technology and improvement of the quality of construction, it has become possible to build houses from blocks, and it becomes more technologically advanced, high-quality and economically attractive compared to classical construction methods.  
Modern technology for the construction of residential buildings from bulk blocks is characterized by the transition to large-sized bulk blocks of high or full factory capacity [1; 2; 3]. Such blocks are, as a rule, designed to accommodate an apartment with a total area of about 100 square meters. For example, the basic large-sized block manufactured at the MonArch Combine of Innovative Technologies is 15.5 m long, 7.5 m wide and 3.75 m high. Such a block weighs 65 tons and is 98% prefabricated [4; 5]. Since the majority of the work is transferred to industrial enterprises, building assembly in construction is reduced to three main processes: installation of volumetric blocks, assembly of vertical and horizontal joints, and post-assembly work to connect utility systems [6; 7; 8; 9].  
At the same time, there are a wide range of architectural and design solutions for residential buildings, characterized by a broad variety of geometric dimensions [10; 11; 12; 13]. For this reason, it is not always feasible to cover such solutions using only large-sized volumetric blocks. Therefore, the type of volumetric blocks for the formation of various series of residential buildings should consist not only of large-sized, but also of other, less dimensional blocks [14; 15; 16; 17].  
To determine them, the following method of modeling the type of volumetric blocks is proposed, depending on the planned application of specific series of residential buildings. The formation of such a technique will increase the architectural expressiveness of the building, allow developing a system of mass housing construction and accordingly reduce the cost of construction.