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About: Tri-oval

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A tri-oval is a shape which derives its name from the two other shapes it most resembles, a triangle and an oval. Rather than meeting at sharp, definable angles as the sides of a triangle do, in a tri-oval these angles are instead rounded into smooth curves. While an oval has four turns, a tri-oval has six. More formally, according to the four-vertex theorem, every smooth simple closed curve has at least four vertices, points where its curvature reaches a local minimum or maximum. In a tri-oval, there are six such points, alternating between three minima and three maxima.

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  • A tri-oval is a shape which derives its name from the two other shapes it most resembles, a triangle and an oval. Rather than meeting at sharp, definable angles as the sides of a triangle do, in a tri-oval these angles are instead rounded into smooth curves. While an oval has four turns, a tri-oval has six. More formally, according to the four-vertex theorem, every smooth simple closed curve has at least four vertices, points where its curvature reaches a local minimum or maximum. In a tri-oval, there are six such points, alternating between three minima and three maxima. (en)
  • 三-椭圆形(Tri-oval)是从两个形状(三角形和椭圆形)混合而成的。和三角形比較,三-椭圆形没有角,三-椭圆形把三角形的三个角各自换成曲线。 相对于椭圆形的四个转弯,三-椭圆形则有六个转弯。根据四頂點定理,每个簡單閉曲線至少有四个顶点(其曲率达到局部最小值或是最大值的點)。在三-椭圆形中,有六个顶点,會是三个局部最小点和三个局部最大点,輪流交错出現。 (zh)
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  • A tri-oval is a shape which derives its name from the two other shapes it most resembles, a triangle and an oval. Rather than meeting at sharp, definable angles as the sides of a triangle do, in a tri-oval these angles are instead rounded into smooth curves. While an oval has four turns, a tri-oval has six. More formally, according to the four-vertex theorem, every smooth simple closed curve has at least four vertices, points where its curvature reaches a local minimum or maximum. In a tri-oval, there are six such points, alternating between three minima and three maxima. (en)
  • 三-椭圆形(Tri-oval)是从两个形状(三角形和椭圆形)混合而成的。和三角形比較,三-椭圆形没有角,三-椭圆形把三角形的三个角各自换成曲线。 相对于椭圆形的四个转弯,三-椭圆形则有六个转弯。根据四頂點定理,每个簡單閉曲線至少有四个顶点(其曲率达到局部最小值或是最大值的點)。在三-椭圆形中,有六个顶点,會是三个局部最小点和三个局部最大点,輪流交错出現。 (zh)
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  • Tri-oval (en)
  • 三-椭圆形 (zh)
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