Abstract Classes - Real Space

classes defining interfaces for PyGeo geometric primitives of real 3d space

class Element
class _Point
class _FreePosition
class _Line
class _Plane
class _Circle
class _Sphere
class _PointArray
class _LineArray
class _PlaneArray
class _CirclePencil
class _Transformation

class Element

definition:

the abstract class from which all PyGeo geometric objects derive

keywords:

Keyword	Definition	Type	Default
color	drawn color of object	list of 3 numbers	[0,0,0] (BLACK)
level	visibility "level" - see GUI	integer	1
trace	toggle for tracing function	boolean	False
texture	texture for Povray output	string	None

class _Point

definition:

an O dimensional object with a defined position in space.

inherits:

class Element , base.Position3, base.vdraw.Point

site ref:

http://mathworld.wolfram.com/Point.html

attributes:

x: x coord
y: y coord
z: z coord

keywords:

inherited keywords: from class Element :

class keywords:

Keyword	Definition	Type	Default
pointsize	size of drawn point	numeric	.5
label	label rendered for point	string	None
tracewidth	width of trace curve	numeric	pointsize/2
tracecolor	color of trace curve	list of 3 numbers	color
fontsize	fontsize of label	constant	NORMALFONT
fontcolor	color of label font	constant	BLACK
fontXoffset	horizontal offset of label	numeric	pointsize/10.+ 3.0
fontYoffset	vertical offset of label	numeric	pointsize/10.+ 3.0

class _FreePosition

definition:	an O dimensional object which can be picked and moved through the scene display interface.
inherits:	class _Point
site ref:	http://mathworld.wolfram.com/Point.html
attributes:	x: x coord y: y coord z: z coord
keywords:	inherited keywords: from class Element : inherited keywords: from class _Point :

class _Line

definition:

an 1 dimensional object representing "breathless length"

inherits:

class Element ,base.vdraw.Line

site ref:

http://mathworld.wolfram.com/Line.html

attributes:

p1: point on line
p2: point on line

keywords:

inherited keywords from class Element :

class keywords:

Keyword	Definition	Type	Default
linewidth	width of drawn line	numeric	.2
label	label rendered for point	string	None
fontsize	fontsize of label	constant	NORMALFONT
fontcolor	color of label font	constant	BLACK
fontXoffset	horizontal offset of label	numeric	pointsize/10.+ 3.0
fontYoffset	vertical offset of label	numeric	pointsize/10.+ 3.0
label_ratio	relative position of label	numeric	.5 (midpoint)
show_normal	draw line normal?	boolean	False

class _Plane

definition:

a 2 dimensional surface spanned by two linearly independent vectors

inherits:

class Element ,base.vdraw.Plane

site ref:

http://mathworld.wolfram.com/Plane.html

attributes:

_u : the unit normal
_d : the distance from origin
_s : unit vector perp to normal

keywords:

inherited keywords from class Element :

class keywords:

Keyword	Definition	Type	Default
style	drawing style	constant	LINES
linewidth	width of drawn lines	numeric	.02
scale	drawing scale	numeric	1
show_normal	draw normal	boolean	False
normal_width	width of drawn normal	numeric	.4

class _Circle

definition:

the set of points in a plane that are equidistant from a given point

inherits:

class Element , base.vdraw.Circle

site ref:

http://mathworld.wolfram.com/Circle.html

attributes:

_u : the unit normal of the circle's plane
_d : the distance from origin of the circle's plane
_s : unit vector perp to normal of the circle's plane
_center: the circle's center point
_cpoint: a point of the circle's circumference
_radius: the circle's radius
_radiusSquared: the square of circle's radius

keywords:

inherited keywords from class Element :

class keywords:

Keyword	Definition	Type	Default
style	drawing style	constant	LINES
linewidth	width of drawn lines	numeric	.2
precision	drawing precision	integer	40
show_normal	draw normal	boolean	False
normal_width	width of drawn normal	numeric	.4
fixed	fix to initial radius	boolean	False

class _Sphere

definition:

the set of points in Euclidian space that are equidistant from a given point

inherits:

class Element , base.vdraw.Sphere

site ref:

http://mathworld.wolfram.com/Sphere.html

attributes:

_center the sphere's center point
_cpoint a point on the sphere's circumference
_radius: the sphere's radius
_radiusSquared: the square of the sphere's radius

keywords:

inherited keywords from class Element :

class keywords:

Keyword	Definition	Type	Default
style	drawing style	constant	LINES
linewidth	width of drawn lines	numeric	.1
precision	drawing precision	integer	10
fixed	fix to initial position	boolean	False

class _PointArray

definition:

an array of point s with a defined geoemtric relationship

inherits:

class Element

site ref:

http://mathworld.wolfram.com/Array.html

attributes:

points: the positioned points of the array

keywords:

inherited keywords from class Element :

class keywords:

Keyword	Definition	Type	Default
pointsize	size of drawn points	numeric	.4
density	points in array	integer	25

class _LineArray

definition:

an array of line s with a defined geoemtric relationship

inherits:

class Element

site ref:

http://mathworld.wolfram.com/Array.html

attributes:

lines: the postioned lines of the array

keywords:

inherited keywords from class Element :

class keywords:

Keyword	Definition	Type	Default
linewidth	width of drawn lines	numeric	1
density	lines in the array	numeric	25
drawradius	lenght of drawn lines	numeric	.5

class _PlaneArray

definition:

an array of plane s with a defined geoemtric relationship

inherits:

class Element

site ref:

http://mathworld.wolfram.com/Array.html

attributes:

planes: the postioned planes of the array

keywords:

inherited keywords from class Element :

class keywords:

Keyword	Definition	Type	Default
style	drawing style for planes	CONSTANT	FILL
density	lines in the array	integer	25
scale	drawing scale of planes	numeric	1

class _CirclePencil

definition:

an array of circle s with a defined geoemtric relationship

inherits:

class Element

site ref:

http://mathworld.wolfram.com/Array.html

attributes:

circles: the positioned circles of the array

keywords:

inherited keywords from class Element :

class keywords:

Keyword	Definition	Type	Default
style	drawing style for circles	CONSTANT	LINES
linewidth	linewidth of drawn circles	numeric	.05
precision	precision of drawn circles	integer	40
density	lines in the array	integer	25
scale	drawing scale of planes	numeric	1

class _Transformation

definition:	a mapping of geometric objects
inherits:	class Element
site ref:	http://mathworld.wolfram.com/Transformation.html
attributes:	transforms: the transformed positions of the given objects
keywords:	inherited keywords from class Element :

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