A standard way to illustrate this idea is to place a bowling ball representing a massive object such as the sun onto a stretched rubber sheet representing spacetime.
Gravity rubber sheet animation.
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The orange is curved space time.
Here we have 1 space like dimension and one time like dimension curved into 3d.
The rubber sheet analogy for einstein s general relativity model of gravity is a popular way to visualize the effect mass has on the curvature of spacetime.
So the motion of a marble on a deformed rubber sheet is entirely unlike the motion of a plant around star or any small object moving around a large one under the force of gravity.
Placing a water balloon more massive object in the center you can introduced a marble less massive object to observe and compare the.
The dented rubber sheet done in earth s gravity is a not too bad analogy for newtonian gravity.
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Let me try the ant analogy in a bit more detail.
A rubber sheet is stretched over a quilting ring.