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  2. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    This follows from the left side of the equation being equal to zero, requiring the right side to equal zero as well, and so the vector sum of a + b (the long diagonal of the rhombus) dotted with the vector difference a - b (the short diagonal of the rhombus) must equal zero, which indicates the diagonals are perpendicular.

  3. Pattern Blocks - Wikipedia

    en.wikipedia.org/wiki/Pattern_blocks

    60° rhombus (2 triangles) (Blue) that can be matched with two of the green triangles; 30° Narrow rhombus (Beige) with the same side-length as the green triangle; Trapezoid (half hexagon or 3 triangles) (Red) that can be matched with three of the green triangles; Regular Hexagon (6 triangles) (Yellow) that can be matched with six of the green ...

  4. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    If you expand an icosidodecahedron by moving the faces away from the origin the right amount, without changing the orientation or size of the faces, and patch the square holes in the result, you get a rhombicosidodecahedron.

  5. Rhombus - Wikipedia

    en.wikipedia.org/wiki/Rhombus

    Using congruent triangles, one can prove that the rhombus is symmetric across each of these diagonals. It follows that any rhombus has the following properties: Opposite angles of a rhombus have equal measure. The two diagonals of a rhombus are perpendicular; that is, a rhombus is an orthodiagonal quadrilateral. Its diagonals bisect opposite ...

  6. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    All side lengths are equal, but the ratio of the length of sides to the short diagonal in the thin rhombus equals ⁠: ⁠, as does the ratio of the sides of to the long diagonal of the thick rhombus. As with the kite and dart tiling, the areas of the two rhombi are in the golden ratio to each other.

  7. Template:Math proof - Wikipedia

    en.wikipedia.org/wiki/Template:Math_proof

    Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Pages for logged out editors learn more

  8. Rhombic triacontahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombic_triacontahedron

    Let φ be the golden ratio.The 12 points given by (0, ±1, ±φ) and cyclic permutations of these coordinates are the vertices of a regular icosahedron.Its dual regular dodecahedron, whose edges intersect those of the icosahedron at right angles, has as vertices the 8 points (±1, ±1, ±1) together with the 12 points (0, ±φ, ± ⁠ 1 / φ ⁠) and cyclic permutations of these coordinates.

  9. Template:Math theorem/doc - Wikipedia

    en.wikipedia.org/wiki/Template:Math_theorem/doc

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