Construct an Inscribed Quadrilateral in the Hyperbolic Disk
Using the tools in the toolbar the below, inscribe a regular quadrilateral in the given circle. You might call this a "square" because it has four sides of the same length, and all angles are the same measure. Of course, none of the angles are right angles, so it isn't a square in the usual sense; there are no quadrilaterals with four right angles in hyperbolic geometry.
You should have already completed the midpoint problem, so that you are familiar with how to use the tools. As in the Euclidean octagon problem, you have extra tools to construct perpendiculars, find midpoints, and bisect angles (you may not need all of these). Try moving the points A and O around to get a better feeling for how the figure can vary.
After you have successfully made the construction, enter the password
you get at the bottom of the page so I can give you credit.