The setting is the Las Vegas desert, where an architectural design consists of three square floor levels, each measuring 7.07 meters by 7.07 meters. The plan aims to address various functions while ensuring structural stability and visual cohesion. The overall design concept utilizes geometric principles to build a connection between the structure and its unique environment.

Ground Floor Design
The ground floor prioritizes accessibility and features a staircase for vertical circulation. Supported by a grid of square pillars, the layout allows for open movement and interaction, suitable for communal activities and gatherings. The space is designed to invite people in, ensuring ease of access.

Upper Levels Configuration
On the first level, a workroom is included, while the second level is dedicated to a living room. This arrangement offers clear separation between work and relaxation spaces. The design enables a fluid transition through the different functions, promoting both productivity and leisure for its users.

Third Level Outdoor Space
The third level expands into an outdoor living and meeting area, bridging the indoors with the desert landscape. This thoughtful integration encourages occupants to engage with nature while providing a space for social interaction and contemplation. The design reflects an intention to harmonize with the natural surroundings.

Façade and Geometric Approach
The façade draws from fractal geometry, featuring a pattern based on triangles. This choice enhances visual interest and allows light to play across the surfaces throughout the day. The structure employs a mathematical approach to the pattern, which serves as a basis for possible variations in façade design. The upper part pays homage to the Sierpinski Carpet, with panels that extend to a total height of 8.8 meters, creating a consistent architectural theme.

Sustainability is a key element in the design, incorporating advanced energy management systems. Home automation technology connected to artificial intelligence optimizes energy use, responding to both weather conditions and occupant behaviors. The interplay of light and shadow on the façade adds depth and character to the building, enhancing its connection to the environment.