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Opposite angles of a rhombus have equal measure. ... As 30-60 degree rhombille ... The rhombic enneacontahedron is a polyhedron composed of 90 rhombic faces, with ...
A rhombohedron has two opposite apices at which all face angles are equal; a prolate rhombohedron has this common angle acute, and an oblate rhombohedron has an obtuse angle at these vertices. A cube is a special case of a rhombohedron with all sides square .
The dihedral angle between square-to-triangle, on the edge where a square cupola is attached to an octagonal prism is the sum of the dihedral angle of a square cupola triangle-to-octagon and the dihedral angle of an octagonal prism square-to-octagon 54.7° + 90° = 144.7°. Therefore, the dihedral angle of a rhombicuboctahedron for every square ...
In Euclidean geometry, a square is a regular quadrilateral, which means that it has four straight sides of equal length and four equal angles (90-degree angles, π /2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length adjacent sides.
Therefore, it has the same number of squares as five cubes. Two clusters of faces of the bilunabirotunda, the lunes (each lune featuring two triangles adjacent to opposite sides of one square), can be aligned with a congruent patch of faces on the rhombicosidodecahedron. If two bilunabirotundae are aligned this way on opposite sides of the ...
Each rhombus has two 60° and two 120° angles; rhombi with this shape are sometimes also called diamonds. Sets of three rhombi meet at their 120° angles, and sets ...
The golden rhombus. In geometry, a golden rhombus is a rhombus whose diagonals are in the golden ratio: [1] = = + Equivalently, it is the Varignon parallelogram formed from the edge midpoints of a golden rectangle. [1]
In the last two formulas, no angle is allowed to be a right angle, since tan 90° is not defined. Let a {\displaystyle a} , b {\displaystyle b} , c {\displaystyle c} , d {\displaystyle d} be the sides of a convex quadrilateral, s {\displaystyle s} is the semiperimeter, and A {\displaystyle A} and C {\displaystyle C} are opposite angles, then [ 36 ]