# shape

##### Shape of a permutation

Returns the shape of a permutation. If given a word, it coerces to cycle form.

##### Usage

```
shape(x, drop = TRUE,id1=TRUE)
shape_cyclist(cyc,id1=TRUE)
padshape(x, drop = TRUE, n=NULL)
shapepart(x)
shapepart_cyclist(cyc,n=NULL)
```

##### Arguments

- x
Object of class

`cycle`

(if not, coerced)- cyc
A cyclist

- n
Integer governing the size of the partition assumed, with default

`NULL`

meaning to use the largest element- drop
Boolean, with default

`TRUE`

meaning to unlist if possible- id1
Boolean, with default

`TRUE`

in function`shape_cyclist()`

meaning that the shape of the identity is “1” and`FALSE`

meaning that the shape is`NULL`

##### Value

Function `shape()`

returns a list with elements representing the
lengths of the component cycles.

Function `shapepart()`

returns an object of class
`partition`

showing the permutation as a set partition of
disjoint cycles.

##### Note

Function `shape()`

returns the lengths of the cycles in the order
returned by `nicify_cyclist()`

, so not necessarily in increasing
or decreasing order.

##### See Also

##### Examples

```
# NOT RUN {
shape(rperm(10,9)) # coerced to cycle
data(megaminx)
shape(megaminx)
jj <- megaminx*megaminx[1]
stopifnot(identical(shape(jj),shape(tidy(jj)))) #tidy() does not change shape
shapepart(rperm(10,5))
shape_cyclist(list(1:4,8:9))
shapepart_cyclist(list(1:4,8:9))
# }
```

*Documentation reproduced from package permutations, version 1.0-5, License: GPL-2*