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埃舍尔是将理性思维和艺术表现发挥到极致的艺术家和思想家。在他的艺术作品中,往往能够体现数学思维融入绘画艺术创作,为绘画艺术增添了数学之美,其作品被科学家认可。如果说数学家开启了通往宇宙之门的钥匙,那么埃舍尔就是那个将理性思维和艺术表现发挥到极致、把情感和生灵给予这个空旷的世界的艺术家。他的作品的成功之处不仅来源于他精湛的绘画能力,而且在于他将数学美融入艺术创造中。本文通过介绍数学美的内容和最数学的画家埃舍尔,从平面镶嵌、多面体、空间形状、拓扑学效果和自我复制五个方面走进埃舍尔的“不可能”世界,剖析埃舍尔艺术作品中所能看见的数学美,领略埃舍尔赋予这些抽象的数学美以具体的表象。
Escher is an artist and thinker who maximizes rational thinking and artistic expression. Among his works of art, they often embody mathematical thinking into the creation of painting art, add the beauty of mathematics to the painting art, and his works are accepted by scientists. If a mathematician opens up the key to the gate of the universe, then Escher is the artist who gave the highest priority to rational thinking and artistic expression and gave his emotions and creatures to this open world. The success of his work not only derives from his superb ability to draw, but also his mathematical beauty into the creation of art. This article introduces Escher’s “Impossible ” world from the aspects of plane tessellation, polyhedron, space shape, topological effect and self-replication by introducing the content of mathematical beauty and the most mathematician Escher. The beauty of mathematics that can be seen in the works of art and the concrete appearance Esch gave the mathematics of these abstractions.