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  2. Sphericon - Wikipedia

    en.wikipedia.org/wiki/Sphericon

    In 1979, modern dancer Alan Boeding designed his "Circle Walker" sculpture from two crosswise semicircles, a skeletal version of the sphericon. He began dancing with a scaled-up version of the sculpture in 1980 as part of an MFA program in sculpture at Indiana University , and after he joined the MOMIX dance company in 1984 the piece became ...

  3. Analytic geometry - Wikipedia

    en.wikipedia.org/wiki/Analytic_geometry

    Similarly, the angle that a line makes with the horizontal can be defined by the formula = ⁡ (), where m is the slope of the line. In three dimensions, distance is given by the generalization of the Pythagorean theorem: d = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 + ( z 2 − z 1 ) 2 , {\displaystyle d={\sqrt {(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2 ...

  4. Spherical geometry - Wikipedia

    en.wikipedia.org/wiki/Spherical_geometry

    The sum of the angles of a spherical triangle is not equal to 180°. A sphere is a curved surface, but locally the laws of the flat (planar) Euclidean geometry are good approximations. In a small triangle on the face of the earth, the sum of the angles is only slightly more than 180 degrees. A sphere with a spherical triangle on it.

  5. Hexadecagon - Wikipedia

    en.wikipedia.org/wiki/Hexadecagon

    A regular hexadecagon is a hexadecagon in which all angles are equal and all sides are congruent. Its Schläfli symbol is {16} and can be constructed as a truncated octagon , t{8}, and a twice-truncated square tt{4}.

  6. Rhombic dodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombic_dodecahedron

    The collections of the Louvre include a die in the shape of a rhombic dodecahedron dating from Ptolemaic Egypt. The faces are inscribed with Greek letters representing the numbers 1 through 12: Α Β Γ Δ Ε Ϛ Z Η Θ Ι ΙΑ ΙΒ. The function of the die is unknown. [11]

  7. List of two-dimensional geometric shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_two-dimensional...

    This is a list of two-dimensional geometric shapes in Euclidean and other geometries. For mathematical objects in more dimensions, see list of mathematical shapes. For a broader scope, see list of shapes.

  8. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    6 Angle bisectors. 7 Bimedians. 8 ... Download as PDF; Printable version; In other projects ... The shape and size of a convex quadrilateral are fully determined by ...

  9. Icositetragon - Wikipedia

    en.wikipedia.org/wiki/Icositetragon

    Simple English; Svenska; ... Download as PDF; Printable version; In other projects ... {24/6}=6{4} Interior angle: 165° 150° 135° 120° 105° 90°