Theme
Small cases lie — page 3
Patterns that hold for every example anyone would check by hand, and then stop. The cases within reach are not a sample of the cases.
Dynamics
The orbit a computer draws
A chaotic orbit computed in floating point is not the orbit of the point it started from. Sometimes it is the true orbit of a nearby point, which is enough; sometimes the arithmetic simply runs out, and the picture is of the rounding.
Applied
A share of the votes is not a share of the power
Give three members four, four and one vote, with five needed to pass. Every winning coalition needs exactly two of them, so all three have equal power — and one of them holds a ninth of the votes.