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  2. Trapezoid - Wikipedia

    en.wikipedia.org/wiki/Trapezoid

    A right trapezoid (also called right-angled trapezoid) has two adjacent right angles. [13] Right trapezoids are used in the trapezoidal rule for estimating areas under a curve. An acute trapezoid has two adjacent acute angles on its longer base edge. An obtuse trapezoid on the other hand has one acute and one obtuse angle on each base.

  3. List of uniform polyhedra by vertex figure - Wikipedia

    en.wikipedia.org/wiki/List_of_uniform_polyhedra...

    These are all quasi-regular as all edges are isomorphic. The compound of 5-cubes shares the same set of edges and vertices. The compound of 5-cubes shares the same set of edges and vertices. The cross forms have a non- orientable vertex figure so the "-" notation has not been used and the "*" faces pass near rather than through the origin.

  4. Isosceles trapezoid - Wikipedia

    en.wikipedia.org/wiki/Isosceles_trapezoid

    Any non-self-crossing quadrilateral with exactly one axis of symmetry must be either an isosceles trapezoid or a kite. [5] However, if crossings are allowed, the set of symmetric quadrilaterals must be expanded to include also the crossed isosceles trapezoids, crossed quadrilaterals in which the crossed sides are of equal length and the other sides are parallel, and the antiparallelograms ...

  5. Wedge (geometry) - Wikipedia

    en.wikipedia.org/wiki/Wedge_(geometry)

    A wedge is a polyhedron of a rectangular base, with the faces are two isosceles triangles and two trapezoids that meet at the top of an edge. [1]. A prismatoid is defined as a polyhedron where its vertices lie on two parallel planes, with its lateral faces are triangles, trapezoids, and parallelograms; [2] the wedge is an example of prismatoid because of its top edge is parallel to the ...

  6. Trapezohedron - Wikipedia

    en.wikipedia.org/wiki/Trapezohedron

    An n-trapezohedron is defined by a regular zig-zag skew 2n-gon base, two symmetric apices with no degree of freedom right above and right below the base, and quadrilateral faces connecting each pair of adjacent basal edges to one apex. An n-trapezohedron has two apical vertices on its polar axis, and 2n basal vertices in two regular n-gonal

  7. Trapezo-rhombic dodecahedron - Wikipedia

    en.wikipedia.org/wiki/Trapezo-rhombic_dodecahedron

    The two shapes differ in their combinatorial structure as well as in their geometry: in the rhombic dodecahedron, every edge connects a degree-three vertex to a degree-four vertex, whereas the trapezo-rhombic dodecahedron has six edges that connect vertices of equal degrees. As the Voronoi cell of a regular space pattern, it is a plesiohedron.

  8. Kite (geometry) - Wikipedia

    en.wikipedia.org/wiki/Kite_(geometry)

    A kite and its dual isosceles trapezoid. Kites and isosceles trapezoids are dual to each other, meaning that there is a correspondence between them that reverses the dimension of their parts, taking vertices to sides and sides to vertices. From any kite, the inscribed circle is tangent to its four sides at the four vertices of an isosceles ...

  9. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    Tangential trapezoid: a trapezoid where the four sides are tangents to an inscribed circle. Cyclic quadrilateral: the four vertices lie on a circumscribed circle. A convex quadrilateral is cyclic if and only if opposite angles sum to 180°. Right kite: a kite with two opposite right angles. It is a type of cyclic quadrilateral.