  Starting from the archetypical geometrically frustrated magnetic objects --
equilateral triangle and tetrahedron -- we consider an imaginary object: a
multidimensional tetrahedron with spins $1/2$ in the each vertex and equal
Heisenberg magnetic exchange along each edge. Many-particle case is obtained by
setting dimensionality $d$ to high numbers, hence providing likely the most
geometrically frustrated magnetic system ever possible. This problem has an
exact solution for each $d$, obtained by simple student-level approach. As a
result, this imaginary object clearly demonstrates at $d\to{}\infty$ all the
features characteristic for the real geometrically frustrated magnetic systems:
highly-degenerate ground state; absence of the magnetic phase transition;
perfect Curie-Weiss behavior down to $T\to{}0$; and vanishingly small exchange
energy per one spin.
