When you write a script to make calculations, you have a to choose to
way to express the results in a picture. Sometimes that picture has a
nice look.
This image is a successful attempt to compute out a problem of
Classical Mechanics yet using Quantum Mechanics. There is a blue dot on
the left and one on the right. A cannon fires from the left dot and
needs to hit the dot on the right. The speed of the cannonball is
imposed, so
the problem is to compute out at what angle the canon needs to fire.
The green arches are trajectories computed out the classical way. They
show that two very different angles fit; they reach the blue dot on the
right. The red
interference pattern is the result of the Quantum Mechanical
calculation.
It correctly shows more intensity for the appropriate trajectories. Yet
it "recommends" two more trajectories that are not possible...
This image was drawn by a calculation routine written to check if a
relativistic accelerating electric charge would appear as a single dot
to observers receiving different parts of its field and inferring the
position of the particle from the gradient of the field (the answer
was no).
The image below shows shock bows of virtual particles emitted by the
central particle after an acceleration. It looks like being 3D but it
is purely 2D.