Bicylinders (Steinmetz Solid)
thingiverse
The Intersection of Two Cylinders Imagine a pair of perfect cylinders facing each other, perfectly aligned. We'll call one cylinder Cylinder A and the other Cylinder B. Cylinder A is centered at (0, 0, 0), with its axis parallel to the x-axis. Its radius is r = 1 unit. Cylinder B is centered at (2, 0, 0), with its axis parallel to the y-axis. Its radius is also r = 1 unit. To find their intersection points, we need to solve two equations simultaneously: The equation for Cylinder A's surface is x² + y² = r². The equation for Cylinder B's surface is (x - 2)² + z² = r². Let's start by rearranging the first equation: y² = r² - x² Now substitute this into the second equation: (x - 2)² + z² = r² Expanding and simplifying, we get two equations in two variables.
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