给定一个花在平面或者球面上的地图，四色定理（Four Colour Theorem）告诉我们，最多使用四种不同颜色对图进行着色，就可以使得任意相邻区域的颜色不相同。
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四色定理
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four-colour theorem 四色定理
the four colour theorem 四色定理
Additionally, the well-known four colour problem and elementary geometry theorem-proving problem have been discussed.
同时，也对四色问题与初等几何定理证明作了简单的讨论。
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The idea behind both proofs of the four colour theorem is to suppose that the theorem is violated to assume, in other words, that there is some sort of map that requires five colours to fill in.
ECONOMIST: Just what does it mean to prove something?
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