GroupElement

Default representation of a subgroup : just directly use the isometries.

Constructor

new GroupElement()

Source:

commons/groups/isometry/GroupElement.js, line 10

Classes

GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement

Members

icoords

Source:

geometries/euc/groups/freeAbelian/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/basicHeisenberg/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/extendedHeisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/heisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords :Array.<number>

Source:

geometries/sph/groups/quaternion/GroupElement.js, line 24

the only way to pass an integer vector to the shader is as an array and not a Vector3

Type:

Array.<number>

name :string

Source:

core/groups/GroupElement.js, line 34

The name of the item. This name is computed (from the uuid) the first time the getter is called.

Type:

string

(readonly) uuid :string

Source:

core/groups/GroupElement.js, line 26

Universal unique ID. The dashes are replaced by underscored to avoid problems in the shaders

Type:

string

Methods

(abstract) clone() → {GroupElement}

Source:

core/groups/GroupElement.js, line 102

Return a new copy of the current element.

Returns:

The clone of the current element

Type: GroupElement

(abstract) copy(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 112

Set the current element with the given element

Parameters:

Name	Type	Description
`elt`	GroupElement	the element to copy

Returns:

The current element

Type: GroupElement

(abstract) equals(elt) → {boolean}

Source:

core/groups/GroupElement.js, line 93

Check if the current element and isom are the same. Mainly for debugging purposes.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

true if the elements are equal, false otherwise

Type: boolean

identity() → {GroupElement}

Source:

core/groups/GroupElement.js, line 45

Set the current element to the identity.

Returns:

the current element

Type: GroupElement

invert() → {GroupElement}

Source:

core/groups/GroupElement.js, line 74

Invert the current element

Returns:

the current element

Type: GroupElement

(abstract) multiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 56

Multiply the current element by elt on the left, i.e. replace this by this * elt.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

(abstract) premultiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 66

Multiply the current element by elt on the right, i.e. replace this by elt * this.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

toIsometry()

Source:

core/groups/GroupElement.js, line 82

Convert the current element to an isometry

GroupElement GroupElement

Element of the trivial group... just nothing to do!

Constructor

new GroupElement()

Source:

commons/groups/trivial/GroupElement.js, line 10

Classes

GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement

Members

icoords

Source:

geometries/euc/groups/freeAbelian/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/basicHeisenberg/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/extendedHeisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/heisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords :Array.<number>

Source:

geometries/sph/groups/quaternion/GroupElement.js, line 24

the only way to pass an integer vector to the shader is as an array and not a Vector3

Type:

Array.<number>

name :string

Source:

core/groups/GroupElement.js, line 34

The name of the item. This name is computed (from the uuid) the first time the getter is called.

Type:

string

(readonly) uuid :string

Source:

core/groups/GroupElement.js, line 26

Universal unique ID. The dashes are replaced by underscored to avoid problems in the shaders

Type:

string

Methods

(abstract) clone() → {GroupElement}

Source:

core/groups/GroupElement.js, line 102

Return a new copy of the current element.

Returns:

The clone of the current element

Type: GroupElement

(abstract) copy(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 112

Set the current element with the given element

Parameters:

Name	Type	Description
`elt`	GroupElement	the element to copy

Returns:

The current element

Type: GroupElement

(abstract) equals(elt) → {boolean}

Source:

core/groups/GroupElement.js, line 93

Check if the current element and isom are the same. Mainly for debugging purposes.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

true if the elements are equal, false otherwise

Type: boolean

identity() → {GroupElement}

Source:

core/groups/GroupElement.js, line 45

Set the current element to the identity.

Returns:

the current element

Type: GroupElement

invert() → {GroupElement}

Source:

core/groups/GroupElement.js, line 74

Invert the current element

Returns:

the current element

Type: GroupElement

(abstract) multiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 56

Multiply the current element by elt on the left, i.e. replace this by this * elt.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

(abstract) premultiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 66

Multiply the current element by elt on the right, i.e. replace this by elt * this.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

toIsometry()

Source:

core/groups/GroupElement.js, line 82

Convert the current element to an isometry

GroupElement GroupElement

Group element. This class allows to define a symbolic representation for element of a discrete subgroup of isometries.

Constructor

new GroupElement(group)

Source:

core/groups/GroupElement.js, line 10

Constructor. The constructor should not be called directly. Use instead the element method of the class Group

Parameters:

Name	Type	Description
`group`	Group	the underlying group

Classes

GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement

Members

icoords

Source:

geometries/euc/groups/freeAbelian/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/basicHeisenberg/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/extendedHeisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/heisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords :Array.<number>

Source:

geometries/sph/groups/quaternion/GroupElement.js, line 24

the only way to pass an integer vector to the shader is as an array and not a Vector3

Type:

Array.<number>

name :string

Source:

core/groups/GroupElement.js, line 34

The name of the item. This name is computed (from the uuid) the first time the getter is called.

Type:

string

(readonly) uuid :string

Source:

core/groups/GroupElement.js, line 26

Universal unique ID. The dashes are replaced by underscored to avoid problems in the shaders

Type:

string

Methods

(abstract) clone() → {GroupElement}

Source:

core/groups/GroupElement.js, line 102

Return a new copy of the current element.

Returns:

The clone of the current element

Type: GroupElement

(abstract) copy(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 112

Set the current element with the given element

Parameters:

Name	Type	Description
`elt`	GroupElement	the element to copy

Returns:

The current element

Type: GroupElement

(abstract) equals(elt) → {boolean}

Source:

core/groups/GroupElement.js, line 93

Check if the current element and isom are the same. Mainly for debugging purposes.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

true if the elements are equal, false otherwise

Type: boolean

identity() → {GroupElement}

Source:

core/groups/GroupElement.js, line 45

Set the current element to the identity.

Returns:

the current element

Type: GroupElement

invert() → {GroupElement}

Source:

core/groups/GroupElement.js, line 74

Invert the current element

Returns:

the current element

Type: GroupElement

(abstract) multiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 56

Multiply the current element by elt on the left, i.e. replace this by this * elt.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

(abstract) premultiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 66

Multiply the current element by elt on the right, i.e. replace this by elt * this.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

toIsometry()

Source:

core/groups/GroupElement.js, line 82

Convert the current element to an isometry

GroupElement GroupElement

Element in a free abelian group Elements are represented as Vector3 with integer coordinates (both on the JS and the GLSL side)

Constructor

new GroupElement()

Source:

geometries/euc/groups/freeAbelian/GroupElement.js, line 15

Classes

GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement

Members

icoords

Source:

geometries/euc/groups/freeAbelian/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/basicHeisenberg/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/extendedHeisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/heisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords :Array.<number>

Source:

geometries/sph/groups/quaternion/GroupElement.js, line 24

the only way to pass an integer vector to the shader is as an array and not a Vector3

Type:

Array.<number>

name :string

Source:

core/groups/GroupElement.js, line 34

The name of the item. This name is computed (from the uuid) the first time the getter is called.

Type:

string

(readonly) uuid :string

Source:

core/groups/GroupElement.js, line 26

Universal unique ID. The dashes are replaced by underscored to avoid problems in the shaders

Type:

string

Methods

(abstract) clone() → {GroupElement}

Source:

core/groups/GroupElement.js, line 102

Return a new copy of the current element.

Returns:

The clone of the current element

Type: GroupElement

(abstract) copy(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 112

Set the current element with the given element

Parameters:

Name	Type	Description
`elt`	GroupElement	the element to copy

Returns:

The current element

Type: GroupElement

(abstract) equals(elt) → {boolean}

Source:

core/groups/GroupElement.js, line 93

Check if the current element and isom are the same. Mainly for debugging purposes.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

true if the elements are equal, false otherwise

Type: boolean

identity() → {GroupElement}

Source:

core/groups/GroupElement.js, line 45

Set the current element to the identity.

Returns:

the current element

Type: GroupElement

invert() → {GroupElement}

Source:

core/groups/GroupElement.js, line 74

Invert the current element

Returns:

the current element

Type: GroupElement

(abstract) multiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 56

Multiply the current element by elt on the left, i.e. replace this by this * elt.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

(abstract) premultiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 66

Multiply the current element by elt on the right, i.e. replace this by elt * this.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

toIsometry()

Source:

core/groups/GroupElement.js, line 82

Convert the current element to an isometry

GroupElement GroupElement

Translation group whose fundamental domain is an ideal cube in H3

Constructor

new GroupElement()

Source:

geometries/hyp/groups/cube/GroupElement.js, line 14

Classes

GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement

Members

icoords

Source:

geometries/euc/groups/freeAbelian/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/basicHeisenberg/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/extendedHeisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/heisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords :Array.<number>

Source:

geometries/sph/groups/quaternion/GroupElement.js, line 24

the only way to pass an integer vector to the shader is as an array and not a Vector3

Type:

Array.<number>

name :string

Source:

core/groups/GroupElement.js, line 34

The name of the item. This name is computed (from the uuid) the first time the getter is called.

Type:

string

(readonly) uuid :string

Source:

core/groups/GroupElement.js, line 26

Universal unique ID. The dashes are replaced by underscored to avoid problems in the shaders

Type:

string

Methods

(abstract) clone() → {GroupElement}

Source:

core/groups/GroupElement.js, line 102

Return a new copy of the current element.

Returns:

The clone of the current element

Type: GroupElement

(abstract) copy(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 112

Set the current element with the given element

Parameters:

Name	Type	Description
`elt`	GroupElement	the element to copy

Returns:

The current element

Type: GroupElement

(abstract) equals(elt) → {boolean}

Source:

core/groups/GroupElement.js, line 93

Check if the current element and isom are the same. Mainly for debugging purposes.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

true if the elements are equal, false otherwise

Type: boolean

identity() → {GroupElement}

Source:

core/groups/GroupElement.js, line 45

Set the current element to the identity.

Returns:

the current element

Type: GroupElement

invert() → {GroupElement}

Source:

core/groups/GroupElement.js, line 74

Invert the current element

Returns:

the current element

Type: GroupElement

(abstract) multiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 56

Multiply the current element by elt on the left, i.e. replace this by this * elt.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

(abstract) premultiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 66

Multiply the current element by elt on the right, i.e. replace this by elt * this.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

toIsometry()

Source:

core/groups/GroupElement.js, line 82

Convert the current element to an isometry

GroupElement GroupElement

Integral Heisenberg group element Element are represented as Vector3 with integer coordinates (both on the JS and the GLSL side). The coordinates of the group element correspond to the Heisenberg model of Nil (to keep integer coordinates). However the isometry is in the projective model.

Constructor

new GroupElement()

Source:

geometries/nil/groups/basicHeisenberg/GroupElement.js, line 15

Classes

GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement

Members

icoords

Source:

geometries/euc/groups/freeAbelian/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/basicHeisenberg/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/extendedHeisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/heisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords :Array.<number>

Source:

geometries/sph/groups/quaternion/GroupElement.js, line 24

the only way to pass an integer vector to the shader is as an array and not a Vector3

Type:

Array.<number>

name :string

Source:

core/groups/GroupElement.js, line 34

The name of the item. This name is computed (from the uuid) the first time the getter is called.

Type:

string

(readonly) uuid :string

Source:

core/groups/GroupElement.js, line 26

Universal unique ID. The dashes are replaced by underscored to avoid problems in the shaders

Type:

string

Methods

(abstract) clone() → {GroupElement}

Source:

core/groups/GroupElement.js, line 102

Return a new copy of the current element.

Returns:

The clone of the current element

Type: GroupElement

(abstract) copy(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 112

Set the current element with the given element

Parameters:

Name	Type	Description
`elt`	GroupElement	the element to copy

Returns:

The current element

Type: GroupElement

(abstract) equals(elt) → {boolean}

Source:

core/groups/GroupElement.js, line 93

Check if the current element and isom are the same. Mainly for debugging purposes.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

true if the elements are equal, false otherwise

Type: boolean

identity() → {GroupElement}

Source:

core/groups/GroupElement.js, line 45

Set the current element to the identity.

Returns:

the current element

Type: GroupElement

invert() → {GroupElement}

Source:

core/groups/GroupElement.js, line 74

Invert the current element

Returns:

the current element

Type: GroupElement

(abstract) multiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 56

Multiply the current element by elt on the left, i.e. replace this by this * elt.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

(abstract) premultiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 66

Multiply the current element by elt on the right, i.e. replace this by elt * this.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

toIsometry()

Source:

core/groups/GroupElement.js, line 82

Convert the current element to an isometry

GroupElement GroupElement

Constructor

new GroupElement()

Source:

geometries/nil/groups/extendedHeisenberg/GroupElement.js, line 14

Classes

GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement

Members

icoords

Source:

geometries/euc/groups/freeAbelian/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/basicHeisenberg/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/extendedHeisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/heisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords :Array.<number>

Source:

geometries/sph/groups/quaternion/GroupElement.js, line 24

the only way to pass an integer vector to the shader is as an array and not a Vector3

Type:

Array.<number>

name :string

Source:

core/groups/GroupElement.js, line 34

The name of the item. This name is computed (from the uuid) the first time the getter is called.

Type:

string

(readonly) uuid :string

Source:

core/groups/GroupElement.js, line 26

Universal unique ID. The dashes are replaced by underscored to avoid problems in the shaders

Type:

string

Methods

(abstract) clone() → {GroupElement}

Source:

core/groups/GroupElement.js, line 102

Return a new copy of the current element.

Returns:

The clone of the current element

Type: GroupElement

(abstract) copy(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 112

Set the current element with the given element

Parameters:

Name	Type	Description
`elt`	GroupElement	the element to copy

Returns:

The current element

Type: GroupElement

(abstract) equals(elt) → {boolean}

Source:

core/groups/GroupElement.js, line 93

Check if the current element and isom are the same. Mainly for debugging purposes.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

true if the elements are equal, false otherwise

Type: boolean

identity() → {GroupElement}

Source:

core/groups/GroupElement.js, line 45

Set the current element to the identity.

Returns:

the current element

Type: GroupElement

invert() → {GroupElement}

Source:

core/groups/GroupElement.js, line 74

Invert the current element

Returns:

the current element

Type: GroupElement

(abstract) multiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 56

Multiply the current element by elt on the left, i.e. replace this by this * elt.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

(abstract) premultiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 66

Multiply the current element by elt on the right, i.e. replace this by elt * this.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

toIsometry()

Source:

core/groups/GroupElement.js, line 82

Convert the current element to an isometry

GroupElement GroupElement

Constructor

new GroupElement()

Source:

geometries/nil/groups/heisenberg/GroupElement.js, line 14

Classes

GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement

Members

icoords

Source:

geometries/euc/groups/freeAbelian/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/basicHeisenberg/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/extendedHeisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/heisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords :Array.<number>

Source:

geometries/sph/groups/quaternion/GroupElement.js, line 24

the only way to pass an integer vector to the shader is as an array and not a Vector3

Type:

Array.<number>

name :string

Source:

core/groups/GroupElement.js, line 34

The name of the item. This name is computed (from the uuid) the first time the getter is called.

Type:

string

(readonly) uuid :string

Source:

core/groups/GroupElement.js, line 26

Universal unique ID. The dashes are replaced by underscored to avoid problems in the shaders

Type:

string

Methods

(abstract) clone() → {GroupElement}

Source:

core/groups/GroupElement.js, line 102

Return a new copy of the current element.

Returns:

The clone of the current element

Type: GroupElement

(abstract) copy(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 112

Set the current element with the given element

Parameters:

Name	Type	Description
`elt`	GroupElement	the element to copy

Returns:

The current element

Type: GroupElement

(abstract) equals(elt) → {boolean}

Source:

core/groups/GroupElement.js, line 93

Check if the current element and isom are the same. Mainly for debugging purposes.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

true if the elements are equal, false otherwise

Type: boolean

identity() → {GroupElement}

Source:

core/groups/GroupElement.js, line 45

Set the current element to the identity.

Returns:

the current element

Type: GroupElement

invert() → {GroupElement}

Source:

core/groups/GroupElement.js, line 74

Invert the current element

Returns:

the current element

Type: GroupElement

(abstract) multiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 56

Multiply the current element by elt on the left, i.e. replace this by this * elt.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

(abstract) premultiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 66

Multiply the current element by elt on the right, i.e. replace this by elt * this.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

toIsometry()

Source:

core/groups/GroupElement.js, line 82

Convert the current element to an isometry

GroupElement GroupElement

Element in the suspension of Z^2 by Z, where Z acts on Z^2 ast the matrix A from Group.js The first two coordinates (a,b) correspond to the Z^2 factor The last coordinates c correspond to the Z factor

Constructor

new GroupElement()

Source:

geometries/sol/groups/horizontalLoops/GroupElement.js, line 15

Classes

GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement

Members

icoords

Source:

geometries/euc/groups/freeAbelian/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/basicHeisenberg/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/extendedHeisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/heisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords :Array.<number>

Source:

geometries/sph/groups/quaternion/GroupElement.js, line 24

the only way to pass an integer vector to the shader is as an array and not a Vector3

Type:

Array.<number>

name :string

Source:

core/groups/GroupElement.js, line 34

The name of the item. This name is computed (from the uuid) the first time the getter is called.

Type:

string

(readonly) uuid :string

Source:

core/groups/GroupElement.js, line 26

Universal unique ID. The dashes are replaced by underscored to avoid problems in the shaders

Type:

string

Methods

(abstract) clone() → {GroupElement}

Source:

core/groups/GroupElement.js, line 102

Return a new copy of the current element.

Returns:

The clone of the current element

Type: GroupElement

(abstract) copy(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 112

Set the current element with the given element

Parameters:

Name	Type	Description
`elt`	GroupElement	the element to copy

Returns:

The current element

Type: GroupElement

(abstract) equals(elt) → {boolean}

Source:

core/groups/GroupElement.js, line 93

Check if the current element and isom are the same. Mainly for debugging purposes.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

true if the elements are equal, false otherwise

Type: boolean

identity() → {GroupElement}

Source:

core/groups/GroupElement.js, line 45

Set the current element to the identity.

Returns:

the current element

Type: GroupElement

invert() → {GroupElement}

Source:

core/groups/GroupElement.js, line 74

Invert the current element

Returns:

the current element

Type: GroupElement

(abstract) multiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 56

Multiply the current element by elt on the left, i.e. replace this by this * elt.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

(abstract) premultiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 66

Multiply the current element by elt on the right, i.e. replace this by elt * this.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

toIsometry()

Source:

core/groups/GroupElement.js, line 82

Convert the current element to an isometry

GroupElement GroupElement

Constructor

new GroupElement()

Source:

geometries/sol/groups/mappingTorus/GroupElement.js, line 15

Classes

GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement

Members

icoords

Source:

geometries/euc/groups/freeAbelian/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/basicHeisenberg/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/extendedHeisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/heisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords :Array.<number>

Source:

geometries/sph/groups/quaternion/GroupElement.js, line 24

the only way to pass an integer vector to the shader is as an array and not a Vector3

Type:

Array.<number>

name :string

Source:

core/groups/GroupElement.js, line 34

The name of the item. This name is computed (from the uuid) the first time the getter is called.

Type:

string

(readonly) uuid :string

Source:

core/groups/GroupElement.js, line 26

Universal unique ID. The dashes are replaced by underscored to avoid problems in the shaders

Type:

string

Methods

(abstract) clone() → {GroupElement}

Source:

core/groups/GroupElement.js, line 102

Return a new copy of the current element.

Returns:

The clone of the current element

Type: GroupElement

(abstract) copy(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 112

Set the current element with the given element

Parameters:

Name	Type	Description
`elt`	GroupElement	the element to copy

Returns:

The current element

Type: GroupElement

(abstract) equals(elt) → {boolean}

Source:

core/groups/GroupElement.js, line 93

Check if the current element and isom are the same. Mainly for debugging purposes.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

true if the elements are equal, false otherwise

Type: boolean

identity() → {GroupElement}

Source:

core/groups/GroupElement.js, line 45

Set the current element to the identity.

Returns:

the current element

Type: GroupElement

invert() → {GroupElement}

Source:

core/groups/GroupElement.js, line 74

Invert the current element

Returns:

the current element

Type: GroupElement

(abstract) multiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 56

Multiply the current element by elt on the left, i.e. replace this by this * elt.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

(abstract) premultiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 66

Multiply the current element by elt on the right, i.e. replace this by elt * this.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

toIsometry()

Source:

core/groups/GroupElement.js, line 82

Convert the current element to an isometry

GroupElement GroupElement

Unit integer quaternions, represented

as a integer Quaternion on a the JS side
as an integer vec4 on the GLSL side

Constructor

new GroupElement()

Source:

geometries/sph/groups/quaternion/GroupElement.js, line 13

Classes

GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement
GroupElement

Members

icoords

Source:

geometries/euc/groups/freeAbelian/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/basicHeisenberg/GroupElement.js, line 26

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/extendedHeisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords

Source:

geometries/nil/groups/heisenberg/GroupElement.js, line 25

the only way to pass an integer vector to the shader is as an array and not a Vector3

icoords :Array.<number>

Source:

geometries/sph/groups/quaternion/GroupElement.js, line 24

the only way to pass an integer vector to the shader is as an array and not a Vector3

Type:

Array.<number>

name :string

Source:

core/groups/GroupElement.js, line 34

The name of the item. This name is computed (from the uuid) the first time the getter is called.

Type:

string

(readonly) uuid :string

Source:

core/groups/GroupElement.js, line 26

Universal unique ID. The dashes are replaced by underscored to avoid problems in the shaders

Type:

string

Methods

(abstract) clone() → {GroupElement}

Source:

core/groups/GroupElement.js, line 102

Return a new copy of the current element.

Returns:

The clone of the current element

Type: GroupElement

(abstract) copy(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 112

Set the current element with the given element

Parameters:

Name	Type	Description
`elt`	GroupElement	the element to copy

Returns:

The current element

Type: GroupElement

(abstract) equals(elt) → {boolean}

Source:

core/groups/GroupElement.js, line 93

Check if the current element and isom are the same. Mainly for debugging purposes.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

true if the elements are equal, false otherwise

Type: boolean

identity() → {GroupElement}

Source:

core/groups/GroupElement.js, line 45

Set the current element to the identity.

Returns:

the current element

Type: GroupElement

invert() → {GroupElement}

Source:

core/groups/GroupElement.js, line 74

Invert the current element

Returns:

the current element

Type: GroupElement

(abstract) multiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 56

Multiply the current element by elt on the left, i.e. replace this by this * elt.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

(abstract) premultiply(elt) → {GroupElement}

Source:

core/groups/GroupElement.js, line 66

Multiply the current element by elt on the right, i.e. replace this by elt * this.

Parameters:

Name	Type	Description
`elt`	GroupElement

Returns:

The current element

Type: GroupElement

toIsometry()

Source:

core/groups/GroupElement.js, line 82

Convert the current element to an isometry