We could present spatially an atomic fact which contradicted the laws of physics, but not one which contradicted the laws of geometry.
Mathematical propositions express no thoughts.
In life it is never a mathematical proposition which we need, but we use mathematical propositions only in order to infer from propositions which do not belong to mathematics to others which equally do not belong to mathematics. Whereof one cannot speak, thereof one must be silent. There can never be surprises in logic. The riddle does not exist. If a question can be put at all, then it can also be answered.