![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/5/55/Quadratic_Koch.svg/640px-Quadratic_Koch.svg.png&w=640&q=50)
Minkowski sausage
Fractal first proposed by Hermann Minkowski / From Wikipedia, the free encyclopedia
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The Minkowski sausage[3] or Minkowski curve is a fractal first proposed by and named for Hermann Minkowski as well as its casual resemblance to a sausage or sausage links. The initiator is a line segment and the generator is a broken line of eight parts one fourth the length.[4]
![Thumb image](http://upload.wikimedia.org/wikipedia/commons/thumb/5/55/Quadratic_Koch.svg/640px-Quadratic_Koch.svg.png)
![Thumb image](http://upload.wikimedia.org/wikipedia/commons/thumb/4/4e/6452553_Vicsek_Fractal_Antenna.png/640px-6452553_Vicsek_Fractal_Antenna.png)
The Sausage has a Hausdorff dimension of .[lower-alpha 1] It is therefore often chosen when studying the physical properties of non-integer fractal objects. It is strictly self-similar.[4] It never intersects itself. It is continuous everywhere, but differentiable nowhere. It is not rectifiable. It has a Lebesgue measure of 0. The type 1 curve has a dimension of ln 5/ln 3 ≈ 1.46.[lower-alpha 2]
Multiple Minkowski Sausages may be arranged in a four sided polygon or square to create a quadratic Koch island or Minkowski island/[snow]flake: