Chen and Aamina are playing a game of hide and seek in a park that has a circular fountain at its center. Chen is 'it' and starts counting at the base of a large tree with his eyes closed, facing the tree, while Aamina runs off to hide. The park is symmetrical with four identical quadrants, each containing the same arrangement of bushes, benches, and sculptures. Each quadrant is divided from the others by walkways that intersect at the fountain, creating a cross-shaped path with the fountain at the center. Aamina decides to hide behind a bush in one of the quadrants. After Chen finishes counting, he opens his eyes and turns directly towards the fountain. Without anything obstructing his view, what parts of the park can Chen see, and can he immediately spot where Aamina is hiding?
When Chen opens his eyes and turns to face the fountain, his field of vision will encompass a segment of the park radiating out from where he is standing, towards the fountain, and spanning outwards. Since the park is symmetrical and has a cross-shaped walkway with the fountain in the center, Chen will be able to see the paths leading directly away from the fountain along the axis on which he is standing, as well as the immediate area surrounding the fountain itself.

It is important to consider that while the fountain is at the center of the intersecting paths, it does not necessarily obstruct Chen's view completely because its presence does not span the entire width of the park's cross-sectional walkways. Therefore, Chen can see parts of the opposite quadrant over or around the fountain, but his view will be somewhat limited by the fountain's structure. The details Chen can see in the opposite quadrant depend on the height and width of the fountain.

Considering Aamina is hiding behind a bush in one of the quadrants, her visibility to Chen depends on which quadrant she chose. If she is in the quadrant directly across from Chen (across the fountain), she could potentially be hidden from view, especially if the bushes are placed symmetrically in each quadrant and if the bush is on the far edge of the quadrant from Chen's perspective.

However, if Aamina chose to hide in one of the quadrants to Chen's immediate left or right, she would most likely be visible to him. Since there is no structure obstructing the view to the left and right quadrants, and the bushes are identical in each quadrant, Chen's vantage point from the tree base towards the fountain would allow him to scan the left and right without obstruction.

Assuming Aamina is hidden behind a bush in a quadrant that is not directly in front of Chen, the combination of the fountain's potential to partially obstruct the view and the symmetry of the park means that while she may not be immediately visible to Chen, her hiding place could still be compromised. If Aamina chose the quadrant directly across from Chen, she stands the best chance of remaining undetected for the moment, but only until Chen moves or changes his angle of view.