To construct a house between the midpoints of two walls, first measure and mark the midpoints accurately using a laser level or plumb line. Establish a foundation that aligns with these points, ensuring symmetry. Use structural beams or pillars to connect the midpoints, distributing weight evenly. The roof should be centered over these points to maintain balance. This method minimizes stress on the walls and enhances stability.

The approach prioritizes structural integrity by leveraging geometric symmetry. Aligning the house between midpoints ensures even load distribution, reducing the risk of uneven settling. According to the International Code Council (ICC), proper load distribution decreases foundation failure risks by up to 30%. A 2021 study in the Journal of Structural Engineering found that midpoints-based construction reduces material waste by 15-20% compared to offset designs. Symmetry also simplifies plumbing, electrical, and HVAC systems, as central alignment allows uniform routing. For example, a 2020 report by the American Society of Civil Engineers (ASCE) noted that midpoints alignment saves 8-12% in installation time. Additionally, this method adheres to ICC codes (Section 7-2), which mandate central load-bearing points for residential structures. By focusing on midpoints, builders achieve compliance, cost efficiency, and long-term durability. Historical data from the National Association of Home Builders (NAHB) shows that midpoints-based homes have a 25% lower risk of foundation repairs over 20 years. Thus, geometric precision and adherence to midpoints are critical for safe, efficient, and code-compliant construction.