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  2. Penrose triangle - Wikipedia

    en.wikipedia.org/wiki/Penrose_triangle

    The tribar/triangle appears to be a solid object, made of three straight beams of square cross-section which meet pairwise at right angles at the vertices of the triangle they form. The beams may be broken, forming cubes or cuboids. This combination of properties cannot be realized by any three-dimensional object in ordinary Euclidean space

  3. Rhinarium - Wikipedia

    en.wikipedia.org/wiki/Rhinarium

    Typically, the rhinarium is crenellated (wrinkled, crackled, or embossed), which may, in theory, increase its sensory area, but there are many exceptions and variations among different mammalian taxa, and also variations in the innervation and sensilla of the rhinarium, so such generalized speculation should be treated with caution regarding this matter.

  4. Right triangle - Wikipedia

    en.wikipedia.org/wiki/Right_triangle

    A right triangle ABC with its right angle at C, hypotenuse c, and legs a and b,. A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular, forming a right angle (1 ⁄ 4 turn or 90 degrees).

  5. Special right triangle - Wikipedia

    en.wikipedia.org/wiki/Special_right_triangle

    For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. This is called an "angle-based" right triangle. A "side-based" right triangle is one in which the lengths of the sides form ratios of whole numbers, such as 3 : 4 : 5, or of other special numbers such as the golden ratio.

  6. Patterns in nature - Wikipedia

    en.wikipedia.org/wiki/Patterns_in_nature

    For example, when leaves alternate up a stem, one rotation of the spiral touches two leaves, so the pattern or ratio is 1/2. In hazel the ratio is 1/3; in apricot it is 2/5; in pear it is 3/8; in almond it is 5/13. [56] Animal behaviour can yield spirals; for example, acorn worms leave spiral fecal trails on the sea floor. [57]

  7. Spiral of Theodorus - Wikipedia

    en.wikipedia.org/wiki/Spiral_of_Theodorus

    The spiral is started with an isosceles right triangle, with each leg having unit length.Another right triangle (which is the only automedian right triangle) is formed, with one leg being the hypotenuse of the prior right triangle (with length the square root of 2) and the other leg having length of 1; the length of the hypotenuse of this second right triangle is the square root of 3.

  8. List of triangle topics - Wikipedia

    en.wikipedia.org/wiki/List_of_triangle_topics

    This list of triangle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or in triangular arrays such as Pascal's triangle or triangular matrices, or concretely in physical space.

  9. Kepler triangle - Wikipedia

    en.wikipedia.org/wiki/Kepler_triangle

    The cosine of the larger of the two non-right angles is the ratio of the adjacent side (the shorter of the two sides) to the hypotenuse, , from which it follows that the two non-right angles are [1] θ = sin − 1 ⁡ 1 φ ≈ 38.1727 ∘ {\displaystyle \theta =\sin ^{-1}{\frac {1}{\varphi }}\approx 38.1727^{\circ }} and θ = cos − 1 ⁡ 1 φ ...