Explicit counterexamples disprove the shifted Lonely Runner Conjecture for n=5 and the Lonely Vector Property for n=12 by introducing coloopless zonotopes.
Cusick,View-obstruction problems, Aequationes Math.9(1973), 165–170
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Coloopless zonotopes and counterexamples to the Shifted Lonely Runner Conjecture
Explicit counterexamples disprove the shifted Lonely Runner Conjecture for n=5 and the Lonely Vector Property for n=12 by introducing coloopless zonotopes.