Learn 3D Geometry on Brilliant
Discover the fascinating world of 3D geometry and its unique concepts. Explore slicing polyhedra, folding polygons, and shortest paths in a cube-world. Learn Euler’s facet counting formula and enhance your problem-solving skills. Prior knowledge of 2D geometry and basic algebra is recommended.
Explore the fundamental concepts of three-dimensional geometry: What strangely-shaped 3D pieces can result from slicing up 3D polyhedra with planes? What flat polygons can fold up into 3D shapes? If you’re running around on the surface of a cube-world, what’s the shortest path between two opposite corners? (The answer to this last one might surprise you.)
In this course, you’ll stretch problem-solving techniques from flat figures into a third-dimension and explore some mathematical ideas and techniques completely unique to 3D geometry. For example, you’ll investigate and learn how to apply Euler’s facet counting formula, a formula which describes a surprising algebraic relationship that relates the number of corners, edges, and faces that any polyhedron can have.
To succeed at this course, you should already have some familiarity with the basics of 2D geometry. Additionally, some algebra is used in this course, but nothing beyond the level of Algebra I.
