Rhombus and Square

Rhombus and Square (2d vs 3d-spherical): Construction of Rhombus. Euclidean Rhombus(2d) https://www.geogebra.org/classic/ecsu5ccw Rhombus on a Sphere: https://www.geogebra.org/3d/brh6jecn Observe that when the diagonals of a rhombus are the same, we have a square. Is it possible to construct a rhombus on a sphere with congruent diagonals? What do you call this shape? How is this shape different than a square? -Can we construct a rectangle on a sphere? What would be a rectangle-like object on a sphere? -How do we construct an equilateral triangle on a sphere? Is it possible to construct an equilateral triangle who interior angles are adding up to 270 degrees? – Construct parabola in Euclidean Plane (2d) (Parabola – GeoGebra) and construct a parabola in Sphere using the constructor. https://www.cs.unm.edu/~joel/NonEuclid/