rhombuss

Rhombuss is not a standard term in geometry and is most often a misspelling of rhombus. In mathematical usage, the singular form is rhombus and the plural forms are rhombi or rhombuses. A rhombus is a type of polygon that belongs to the family of parallelograms.

A rhombus is defined by having all four sides of equal length. Its opposite sides are parallel, and opposite angles are equal. Because the sides are all the same, a rhombus can be viewed as a diamond-shaped parallelogram that may be tilted or stretched.

The diagonals of a rhombus have important properties: they are perpendicular to each other and they bisect the vertex angles. The diagonals also bisect each other, as is true for all parallelograms. These characteristics make the rhombus useful in tiling and in problems involving symmetry and area.

Area formulas for a rhombus include base times height, or, more conveniently, half the product of the diagonals: area = (d1 × d2) / 2. If the side length is s and an interior angle is θ, then area can also be expressed as s^2 sin θ.

A square is a special case of a rhombus where all angles are right angles. Thus every square is a rhombus, but not every rhombus is a square.

In summary, rhombus (and its plural rhombi or rhombuses) is a parallelogram with equal sides, characterized by perpendicular diagonals, angle-bisecting diagonals, and versatile area formulas.