Final answer:
To find the new layout after a 90° counterclockwise rotation of a hexagonal pool about a central point D, rotate each corner 90° around D. The overall hexagonal shape remains, but features will move to new positions. The rotation of water draining is due to the Coriolis effect and is typically counterclockwise in the Northern Hemisphere, though this effect is often overpowered by the design of plumbing fixtures.
Step-by-step explanation:
The student's question asks which layout would result from a 90° counterclockwise rotation of a hexagonal swimming pool around a central drain point D. To determine this, imagine the current layout of the pool and rotate each corner point of the hexagon 90° in a counterclockwise direction around point D. After the rotation, each point of the hexagon will move to a new position that is perpendicular to the line from D to its initial position. Since a hexagon has symmetry, after the rotation, it will look the same shape-wise, but the position of features around it, like diving boards or stairs, will have changed positions relative to point D.
The rotation caused by water draining in a sink or toilet is mentioned in the provided references and is related to the Coriolis effect, which causes fluids to rotate in a certain direction due to the Earth's rotation. In the Northern Hemisphere, the rotation would typically be counterclockwise if not influenced by other factors such as the design of the toilet. However, this effect is minimal and would likely be imperceptible in everyday situations. If water were to be forced up the drain, the direction of the rotation would not necessarily reverse, as it would depend on the forces applying to the water as it moves upward.
It's important to note that in everyday plumbing, the design of the fixtures has a much larger impact on water rotation than the Coriolis effect. For instance, toilets have directional water jets specifically designed to initiate a particular rotation direction for efficient flushing.