Checking whether an object in the plane is a rhombus

### 24.15.9 Checking whether an object in the plane is a rhombus

See Section 25.11.13 for checking for rhombuses in three-dimensional geometry.

The is_rhombus command determines whether or not a geometric object is a rhombus.

- is_rhombus takes G, a geometric object or a sequence of four points assumed to be the vertices of a quadrilateral.
- is_square(G) returns 1 if G is a rhombus but not a square, returns 2 if G is a square and returns 0 otherwise.

#### Examples

is_rhombus(1+i,-1+i,-1-i,1-i)

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K:=rhombus(1+i,-1+i,pi/4); is_rhombus(K)

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K:=rhombus(1+i,-1+i,pi/4,C,D); is_rhombus(K[0])

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Note that K[0] is a rhombus since K is a list made of a rhombus and vertices C and D.

affix(C,D)

− | √ |
2
| −i, − | √ |
2
| +i

is_rhombus(i,-1+i,-1-i,1-i)

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