Mathematics & Architecture

By Torrence Raines

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When you buy a set of blueprints for a home, you get hundreds of dimensions and thousands of details. Before you buy the blueprints, you look at simplified “house plans” that give overall information about the blueprint. The house plans give you general information such as square footage and overall dimensions.


Angles were used in Greek and Roman architecture to create beautiful statues, buildings, and coliseums. Making sharp angles gave these buildings more character and brought them to life. Angles are still used today in many ways. From buildings that are based on this architecture to bridges, people use angles to create functional and beautiful pieces of art that will stand for many centuries to come. Angles can help create safer buildings while also making them look attractive. In areas where there are earthquakes and other natural disasters, angles can be used to support buildings and make them stronger.

Program Sizing

A house plan's square footage tells you how many square feet of finished space a plan occupies. The finished space is the heated area of the home. Finished space usually has floor coverings such as wood, vinyl, ceramic, or carpeting. Square footage is not the same as the floor space. Typically the square footage is calculated by using the dimensions starting from the outside studs of the home’s exterior. The square footage doesn’t include exterior wall coverings such as brick, stucco or siding. The square footage does include space that is taken up by walls.

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Common Subjects Used in Architecture