Blowup of the plane in a point

by MOLabs
  • Full Color Sandstone

    Fully colored material with a coarse finish and a delicate feel.

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One of the most important concepts in algebraic geometry and singularity theory is the blowup of a plane in the origin. The plane is mapped to a surface in 3-space in an interesting way: Every point of the plane outside the origin is mapped to a unique point of the surface above. But the origin itself is mapped to a whole line (the thick green one in the model) where each point on the line on the surface corresponds to a direction through the origin. In the model this is illustrated in the following way: The blue curve which passes twice through the origin in the plane is mapped to a blue curve in the surface, but the curve on the surface has no self-intersection because the two directions of the curve in the origin are mapped to different points of the green line above. See our youtube video on for more information.


IN: 2.469 w x 2.469 d x 4.831 h
CM: 6.27 w x 6.27 d x 12.27 h


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