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  2. Inverse Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Inverse_Pythagorean_theorem

    In geometry, the inverse Pythagorean theorem (also known as the reciprocal Pythagorean theorem [1] or the upside down Pythagorean theorem [2]) is as follows: [3] Let A, B be the endpoints of the hypotenuse of a right triangle ABC. Let D be the foot of a perpendicular dropped from C, the vertex of the right angle, to the hypotenuse. Then

  3. Sierpiński triangle - Wikipedia

    en.wikipedia.org/wiki/Sierpiński_triangle

    The Sierpiński triangle, also called the Sierpiński gasket or Sierpiński sieve, is a fractal with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles.

  4. Van Hiele model - Wikipedia

    en.wikipedia.org/wiki/Van_Hiele_model

    Children simply say, "That is a circle," usually without further description. Children identify prototypes of basic geometrical figures (triangle, circle, square). These visual prototypes are then used to identify other shapes. A shape is a circle because it looks like a sun; a shape is a rectangle because it looks like a door or a box; and so on.

  5. The Secrets of Triangles - Wikipedia

    en.wikipedia.org/wiki/The_Secrets_of_Triangles

    The chapter on areas includes both trigonometric formulas and Heron's formula for computing the area of a triangle from its side lengths, and the chapter on inequalities includes the Erdős–Mordell inequality on sums of distances from the sides of a triangle and Weitzenböck's inequality relating the area of a triangle to that of squares on ...

  6. Toeplitz matrix - Wikipedia

    en.wikipedia.org/wiki/Toeplitz_matrix

    Hankel matrix, an "upside down" (i.e., row-reversed) Toeplitz matrix Szegő limit theorems – Determinant of large Toeplitz matrices Toeplitz operator – compression of a multiplication operator on the circle to the Hardy space Pages displaying wikidata descriptions as a fallback

  7. Rotational symmetry - Wikipedia

    en.wikipedia.org/wiki/Rotational_symmetry

    p3 (333): 3×3-fold; not the rotation group of any lattice (every lattice is upside-down the same, but that does not apply for this symmetry); it is e.g. the rotation group of the regular triangular tiling with the equilateral triangles alternatingly colored. p4 (442): 2×4-fold, 2×2-fold; rotation group of a square lattice.

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