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Action Menus

 

ADDED JANUARY 2013 (For Version 10.8 of 3D-XplorMath): The Action Menu has evolved considerably since 2004 when the rest of this page was written, and consequently, many of the details below are out of date. We apologize, and plan to update this and other obsolete pages of the HTML documentation in a forthcoming release, but did not want to hold up the release of this version.

The Action menu differs considerably from one Category to the next. However, it always begins with a Create item (that can be invoked by typing Command K) and as its name implies redraws the current object with all the current settings.

Below we list for each Category the items in the Action menu that are appended to the above Basic Action menu. Depending on the particular object, certain items may be missing, and others may be added.


Plane Curves 

Action

Parameterize by Arclength

Show Generalized Cycloids

Show Osculating Circles

Show Osculating Circles With Normals


 

Space Curves 

Action

Show as Curve

Show as Tube

Show Tangent Developable

Show Repère Mobile

Show Projection on Osculating Plane

Show Projection on Normal Plane

Show All Three Projection

Frenet Frame

Parallel Frame

Parameterize by Arclength


 

Surfaces

Action

Slow Motion Rendering

 

Show Parallel Surfaces

Surface Coloration

 

Hue = v/2 pi

 

Hue = v/2 pi

 

Hue = u^2 + v^2

Hue = sqrt(x^2 + y^2)

 

White Paint

 

User Paint...

Distinguish Sides By Color

 

Set Surface Front Color...

Set Surface Back Color...

 

Default Front and Back Colors

 

User Coloration...

 

Stereo

Show All Gridlines

 

Show Alternate Gridlines

 

Show Every Third Gridline

 

how Every Sixth Gridline

Show No Gridlines

 

Show Original Surface

 

Show Conjugate Surface

 

Set Associate Family Parameter...

 

Don't Show Reflections

 


The Show All Gridlines, Show Alternate Gridlines, Show Every Third Gridline, Show Every Sixth Gridline, and Show No Gridlines items all refer only to the Surface category and behave just as you expect. In particular the Show No Gridlines item will turn off the display of the u,v coordinate curves entirely when a surface is redrawn (except, of course, in wire-frame mode). While this option is available in monochrome and stereo display modes, it is rarely if ever advisable in these situations, and should be reserved for (occasional) use when displaying a surface in color, where it can improve the aesthetics.


The group of items, Show Original Surface, Show Conjugate Surface, Set Associate Family Parameter..., Show Reflections, and Don't Show Reflections, refer only to minimal surfaces given by Weierstrass Enneper data (those at the bottom of the minimal surface submenu) and are dimmed unless one of these is selected.

Conformal Maps

Action

Choose Line By Mouse

Choose Interval By Mouse

Choose Circle By Mouse

Cartesian Grid

Polar Grid

Polar Conformal Grid

Cartesian Morphing

Polar Morphing

Color Code Gridlines


Polyhedra

Action

Slow Motion Rendering

Create Truncated

Create Subdivided

Create Stellated


ODE(1D)-1st Order

Action

IC By Mouse

Continue

Erase

Hide Direction Fields

Hide ODE Controls


ODE(1D)-2nd Order     ODE(2D)-1st Order

Action

Slow Orbt Drawing

Continue

Erase

Project ODE Orbits

Hide Direction Fields

Hide ODE Controls


ODE(2D)-2nd Order    ODE(3D)-1st Order    ODE(3D)-2nd Order

Action

Slow Orbt Drawing

IC By Mouse [Drag]

Continue

Erase

Project ODE Orbits

Hide ODE Controls


Central Forces

Action

Slow Orbt Drawing

IC By Mouse [Drag]

Continue

Erase


Lattice Models

Action

Continue

Set Lattice Parameters...

Hide Normal Mode Display


 

Waves

The Action menu for the Wave Category depends on which wave equation is under consideration. It also has somewhat different items when an initial value problem is being solved numerically.

KDV

Action

Continue

Display As Graph

Evolve Profile

Display Time Slices

 

 

 

 

KDV IVP

Action

Continue

Display As Graph

Evolve Profile

Display As Graph

Display Wave Form Only

Display Fourier Transform Only

Display Both

 

 

Sine Gordon

Action

Continue

Display As Graph

Evolve Profile

Display Time Slices

Show Solution

Show Solution Derivative

 

Cubic Schroedinger

Action

Continue

Display As Graph

Evolve Profile

Display Time Slices

Show Modulus and Phase

Show Modulus Only

 

 

 

Cubic Schroedinger IVP

Action

Continue

Display As Graph

Evolve Profile

Display Time Slices

Display Wave Form Only

Display Fourier Transform Only

Display Both

Show Modulus and Phase

Show Modulus Only

 


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