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  2. Rhombus - Wikipedia

    en.wikipedia.org/wiki/Rhombus

    The rhombus is often called a "diamond", after the diamonds suit in playing cards which resembles the projection of an octahedral diamond, or a lozenge, though the former sometimes refers specifically to a rhombus with a 60° angle (which some authors call a calisson after the French sweet [1] —also see Polyiamond), and the latter sometimes ...

  3. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    Table of Shapes Section Sub-Section Sup-Section Name Algebraic Curves ¿ Curves ¿ Curves: Cubic Plane Curve: Quartic Plane Curve: Rational Curves: Degree 2: Conic Section(s) Unit Circle: Unit Hyperbola: Degree 3: Folium of Descartes: Cissoid of Diocles: Conchoid of de Sluze: Right Strophoid: Semicubical Parabola: Serpentine Curve: Trident ...

  4. Lozenge (shape) - Wikipedia

    en.wikipedia.org/wiki/Lozenge_(shape)

    The lozenge shape is often used in parquetry (with acute angles that are 360°/n with n being an integer higher than 4, because they can be used to form a set of tiles of the same shape and size, reusable to cover the plane in various geometric patterns as the result of a tiling process called tessellation in mathematics) and as decoration on ...

  5. Rhomboid - Wikipedia

    en.wikipedia.org/wiki/Rhomboid

    Traditionally, in two-dimensional geometry, a rhomboid is a parallelogram in which adjacent sides are of unequal lengths and angles are non-right angled.. The terms "rhomboid" and "parallelogram" are often erroneously conflated with each other (i.e, when most people refer to a "parallelogram" they almost always mean a rhomboid, a specific subtype of parallelogram); however, while all rhomboids ...

  6. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    Table of graphs and parameters In the mathematical field of graph theory , a rhombicosidodecahedral graph is the graph of vertices and edges of the rhombicosidodecahedron, one of the Archimedean solids .

  7. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    The rhombic Penrose tiling contains two types of rhombus, a thin rhombus with angles of ⁠ ⁠ and ⁠ ⁠, and a thick rhombus with angles of ⁠ ⁠ and ⁠ ⁠. All side lengths are equal, but the ratio of the length of sides to the short diagonal in the thin rhombus equals ⁠ 1 : φ {\displaystyle 1\mathbin {:} \varphi } ⁠ , as does the ...

  8. Bicone - Wikipedia

    en.wikipedia.org/wiki/Bicone

    In geometry, a bicone or dicone (from Latin: bi-, and Greek: di-, both meaning "two") is the three-dimensional surface of revolution of a rhombus around one of its axes of symmetry. Equivalently, a bicone is the surface created by joining two congruent, right, circular cones at their bases.

  9. Arithmetic geometry - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_geometry

    Rational points can be directly characterized by height functions which measure their arithmetic complexity. [5] The structure of algebraic varieties defined over non-algebraically closed fields has become a central area of interest that arose with the modern abstract development of algebraic geometry.