Maple Graphics & Animations: New Applications
http://www.maplesoft.com/applications/category.aspx?cid=1332
en-us2015 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemSun, 01 Feb 2015 19:52:27 GMTSun, 01 Feb 2015 19:52:27 GMTNew applications in the Maple Graphics & Animations categoryhttp://www.mapleprimes.com/images/mapleapps.gifMaple Graphics & Animations: New Applications
http://www.maplesoft.com/applications/category.aspx?cid=1332
Rubik’s Cube Maplet
http://www.maplesoft.com/applications/view.aspx?SID=5711&ref=Feed
This Maple package uses Maplet technology to create a version of the "Rubik’s Cube" interactive 3D game.
Copy the CubicRubik.mla file into the LIB directory of your Maple installation (for example, c:\Program Files\Maple 11\lib\CubicRubik.mla).
Create a new worksheet and input the following:
restart;
with(CubicRubikPackage): ShowCubicRubik();
Lucky gaming!
Detailed information may be found at http://www.geocities.com/andy_revenko<img src="/view.aspx?si=5711/image001_small.gif" alt="Rubik’s Cube Maplet" align="left"/>This Maple package uses Maplet technology to create a version of the "Rubik’s Cube" interactive 3D game.
Copy the CubicRubik.mla file into the LIB directory of your Maple installation (for example, c:\Program Files\Maple 11\lib\CubicRubik.mla).
Create a new worksheet and input the following:
restart;
with(CubicRubikPackage): ShowCubicRubik();
Lucky gaming!
Detailed information may be found at http://www.geocities.com/andy_revenko5711Sun, 16 Mar 2008 04:00:00 ZAndrey RevenkoAndrey RevenkoOn Fractal Modeling of 3D Curves and Wireframes
http://www.maplesoft.com/applications/view.aspx?SID=1646&ref=Feed
In this worksheet methodology and examples of fractal rendering of 3D curves are presented. Deterministic and probabilistic approaches for obtaining attractor for a given collection of Iterated Function System (IFS) are used. This Maple application can be treated as the fourth one prepared by the same authors. Some improvements of Maple code for fractal rendering of linear segments are described.<img src="/view.aspx?si=1646/FractalCurves.gif" alt="On Fractal Modeling of 3D Curves and Wireframes" align="left"/>In this worksheet methodology and examples of fractal rendering of 3D curves are presented. Deterministic and probabilistic approaches for obtaining attractor for a given collection of Iterated Function System (IFS) are used. This Maple application can be treated as the fourth one prepared by the same authors. Some improvements of Maple code for fractal rendering of linear segments are described.1646Tue, 02 Aug 2005 00:00:00 ZProf. Wieslaw KotarskiProf. Wieslaw KotarskiJavaViewLib 3.22
http://www.maplesoft.com/applications/view.aspx?SID=1503&ref=Feed
JavaViewLib provides a superior viewing environment to enhance plots in Maple. It adds many new features to plots' interactivity, such as mouse-controlled scaling, translation, and auto-view modes. JavaViewLib implements arc-ball rotation, making object viewing smoother and less directionally constrained than in Maple. Furthermore, JavaViewLib offers a point modeling feature that allows plots to be manually manipulated.
These features operate not only in Maple worksheets but also in HTML exports.
However, the predominant feature of the JavaviewLib is the capacity to export Maple-generated models into one of two applet based viewers - one optimized for speed, the other for customizability. No longer do plots need to be converted to static images when creating html pages from Maple worksheets. One can also export plot data to a variety of other formats such as VMRL or JavaViewLib's own XML format in which data can be viewed as a markup tree or further developed. With JavaviewLib, models created in other modeling applications such as Maya and Mathematica can easily be imported into Maple's viewing environment.<img src="/view.aspx?si=1503/catheil.JPG" alt="JavaViewLib 3.22" align="left"/>JavaViewLib provides a superior viewing environment to enhance plots in Maple. It adds many new features to plots' interactivity, such as mouse-controlled scaling, translation, and auto-view modes. JavaViewLib implements arc-ball rotation, making object viewing smoother and less directionally constrained than in Maple. Furthermore, JavaViewLib offers a point modeling feature that allows plots to be manually manipulated.
These features operate not only in Maple worksheets but also in HTML exports.
However, the predominant feature of the JavaviewLib is the capacity to export Maple-generated models into one of two applet based viewers - one optimized for speed, the other for customizability. No longer do plots need to be converted to static images when creating html pages from Maple worksheets. One can also export plot data to a variety of other formats such as VMRL or JavaViewLib's own XML format in which data can be viewed as a markup tree or further developed. With JavaviewLib, models created in other modeling applications such as Maya and Mathematica can easily be imported into Maple's viewing environment.1503Fri, 27 May 2005 00:00:00 ZSteve DugaroSteve DugaroTeaching the clock with Maple
http://www.maplesoft.com/applications/view.aspx?SID=1457&ref=Feed
<p>I wrote a Maple package called "Clock" to teach my children how to read the clock. With the package you can generate graphics of analogous clocks showing given or random times as well as animated graphics of clocks showing given time ranges. That way you can explain the clock, demonstrate the motion of its hands, and practice with your children.</p><img src="/view.aspx?si=1457/thumb.jpg" alt="Teaching the clock with Maple" align="left"/><p>I wrote a Maple package called "Clock" to teach my children how to read the clock. With the package you can generate graphics of analogous clocks showing given or random times as well as animated graphics of clocks showing given time ranges. That way you can explain the clock, demonstrate the motion of its hands, and practice with your children.</p>1457Wed, 20 Apr 2005 04:00:00 ZMario CimiottiMario CimiottiAesthetic Plots in Complex Plane
http://www.maplesoft.com/applications/view.aspx?SID=1453&ref=Feed
Complex functions can create beautiful and wonderful graphs in the complex plane. In this worksheet we some interesting graphs and animations will be presented. As well as a mathematical fun, the results can be of interest in educational field. Similar graphics or animations can help students to visualize practical phenomenons in some engineering fields such as fluid mechanics or electrical engineering.<img src="/view.aspx?si=1453/thumb.gif" alt="Aesthetic Plots in Complex Plane" align="left"/>Complex functions can create beautiful and wonderful graphs in the complex plane. In this worksheet we some interesting graphs and animations will be presented. As well as a mathematical fun, the results can be of interest in educational field. Similar graphics or animations can help students to visualize practical phenomenons in some engineering fields such as fluid mechanics or electrical engineering.1453Wed, 06 Apr 2005 00:00:00 ZAmir KhanshanAmir KhanshanSneak Wavemaker
http://www.maplesoft.com/applications/view.aspx?SID=4773&ref=Feed
The worksheet contains a model of a wavemaker, like the used in the "El Pardo Model Basin"<img src="/view.aspx?si=4773/SneakWavemaker_12.gif" alt="Sneak Wavemaker" align="left"/>The worksheet contains a model of a wavemaker, like the used in the "El Pardo Model Basin"4773Mon, 20 Dec 2004 00:00:00 ZJorge Vicario GonzálezJorge Vicario GonzálezPendulums Coupled by a Spring
http://www.maplesoft.com/applications/view.aspx?SID=4405&ref=Feed
We model the motion of two identical pendulums swinging in parallel planes, attached by a spring. We describe the motion by the pendulums' angles of deflection over time.
We assume that the pendulums swing in the x-z plane, their hinges are d units apart on the y-axis, they have unit length and unit mass, and their mass is concentrated at the ends. Pendulum 1 swings about the origin, and pendulum 2 swings about the point (0, d , 0). We assume the spring has natural length d .<img src="/view.aspx?si=4405/pendulums.gif" alt="Pendulums Coupled by a Spring" align="left"/>We model the motion of two identical pendulums swinging in parallel planes, attached by a spring. We describe the motion by the pendulums' angles of deflection over time.
We assume that the pendulums swing in the x-z plane, their hinges are d units apart on the y-axis, they have unit length and unit mass, and their mass is concentrated at the ends. Pendulum 1 swings about the origin, and pendulum 2 swings about the point (0, d , 0). We assume the spring has natural length d .4405Thu, 07 Aug 2003 16:48:49 ZJason SchattmanJason SchattmanAnalysis and Simulation of Simple Dynamic Systems
http://www.maplesoft.com/applications/view.aspx?SID=1388&ref=Feed
Dynamic Systems (as they are used in this worksheet) are mechanical systems comprising of masses and constraints. Constraints are a set of rules that have to be followed as the masses are allowed to move freely. For example, a very simple dynamic system might be that of a pendulum. The constraint of a pendulum is that one mass has to stay at a fixed distance from a fixed mass (rigid-rod constraint). Examples of more complex system are a double pendulum and a triple pendulum.
4 case studies are presented in this work sheet:
Damped Oscillation,
Resonance,
Bead on wire, and
Vibrating Tower.
A practice problem can be found at the end of the work sheet.<img src="/view.aspx?si=1388/1103.gif" alt="Analysis and Simulation of Simple Dynamic Systems" align="left"/>Dynamic Systems (as they are used in this worksheet) are mechanical systems comprising of masses and constraints. Constraints are a set of rules that have to be followed as the masses are allowed to move freely. For example, a very simple dynamic system might be that of a pendulum. The constraint of a pendulum is that one mass has to stay at a fixed distance from a fixed mass (rigid-rod constraint). Examples of more complex system are a double pendulum and a triple pendulum.
4 case studies are presented in this work sheet:
Damped Oscillation,
Resonance,
Bead on wire, and
Vibrating Tower.
A practice problem can be found at the end of the work sheet.1388Mon, 07 Oct 2002 13:58:04 ZForhad AhmedForhad AhmedAnimation of the Motion of a Charged Particle Under an Electric Field
http://www.maplesoft.com/applications/view.aspx?SID=4298&ref=Feed
Suppose you have one or more stationary charged particles on a plane. These stationary particles produce an electric field at all points on the plane. Let us place a moving charged particle on this plane. The moving particle will experience a force exerted by the electric field, causing it to accelerate. Will it move, and if it does, where will it move? I have always struggled to draw a mental picture of how I expect P will behave under the electric field before actually turning to my pencil and paper to do the calculations.<img src="/view.aspx?si=4298/particle.gif" alt="Animation of the Motion of a Charged Particle Under an Electric Field" align="left"/>Suppose you have one or more stationary charged particles on a plane. These stationary particles produce an electric field at all points on the plane. Let us place a moving charged particle on this plane. The moving particle will experience a force exerted by the electric field, causing it to accelerate. Will it move, and if it does, where will it move? I have always struggled to draw a mental picture of how I expect P will behave under the electric field before actually turning to my pencil and paper to do the calculations.4298Fri, 23 Aug 2002 15:20:27 ZPauline HongPauline HongKinematics of Agricultural Machines
http://www.maplesoft.com/applications/view.aspx?SID=4293&ref=Feed
In this article we shall demonstrate how to use Maple to study the kinematics of an agricultural machine, in particular a dung scraper. The propelled end of the supporting bar is connected to the chain running around two teeth wheels and moves ahead with constant velocity. The lead end follows the guiding bars. Srapers are fixed to the supporting bar. We have to study the trajectory, velocity and acceleration of the business ends of scrapers. Results will be plotted and animated.<img src="/view.aspx?si=4293/1079.jpg" alt="Kinematics of Agricultural Machines" align="left"/>In this article we shall demonstrate how to use Maple to study the kinematics of an agricultural machine, in particular a dung scraper. The propelled end of the supporting bar is connected to the chain running around two teeth wheels and moves ahead with constant velocity. The lead end follows the guiding bars. Srapers are fixed to the supporting bar. We have to study the trajectory, velocity and acceleration of the business ends of scrapers. Results will be plotted and animated.4293Wed, 14 Aug 2002 11:46:11 ZStanislav BartonStanislav BartonCircular Membrane Oscillation Using Maple
http://www.maplesoft.com/applications/view.aspx?SID=4286&ref=Feed
This worksheet presents an analysis of the classic problem of the vibrating circular membrane. Maple animations are constructed for the lower normal modes, as well as for some particular solutions with initial conditions.<img src="/view.aspx?si=4286/membrane.gif" alt="Circular Membrane Oscillation Using Maple" align="left"/>This worksheet presents an analysis of the classic problem of the vibrating circular membrane. Maple animations are constructed for the lower normal modes, as well as for some particular solutions with initial conditions.4286Tue, 09 Jul 2002 15:01:13 ZMaplesoftMaplesoftColor Plate: Dirichlet Problem for a circle
http://www.maplesoft.com/applications/view.aspx?SID=1383&ref=Feed
<p>Creates a high resolution 3D plot of the Dirichlet Problem for a circle</p><img src="/view.aspx?si=1383/dirchlet.gif" alt="Color Plate: Dirichlet Problem for a circle" align="left"/><p>Creates a high resolution 3D plot of the Dirichlet Problem for a circle</p>1383Tue, 21 May 2002 04:00:00 ZMaplesoftMaplesoftColor Plate: Icosahedron
http://www.maplesoft.com/applications/view.aspx?SID=1386&ref=Feed
<img src="/view.aspx?si=1386/iso.gif" alt="Color Plate: Icosahedron" align="left"/>1386Tue, 21 May 2002 04:00:00 ZMaplesoftMaplesoftRossler attractor
http://www.maplesoft.com/applications/view.aspx?SID=4239&ref=Feed
This worksheet illustrates the Rossler Attractor with animations<img src="/view.aspx?si=4239/attractor.gif" alt="Rossler attractor" align="left"/>This worksheet illustrates the Rossler Attractor with animations4239Tue, 12 Mar 2002 09:11:03 ZYufang HaoYufang HaoThe path of a baseball
http://www.maplesoft.com/applications/view.aspx?SID=4213&ref=Feed
In this maplet, students can learn the dynamics of trajectories under the influence of gravity. The student enters the mass, initial speed and angles of a baseball into text areas, and the maplet computes the path of the ball, in particular, whether the hit is a home run or not. The student can also enter the dimensions of the baseball field.<img src="/view.aspx?si=4213/baseball.jpg" alt="The path of a baseball" align="left"/>In this maplet, students can learn the dynamics of trajectories under the influence of gravity. The student enters the mass, initial speed and angles of a baseball into text areas, and the maplet computes the path of the ball, in particular, whether the hit is a home run or not. The student can also enter the dimensions of the baseball field.4213Thu, 24 Jan 2002 12:17:59 ZSylvain MuiseSylvain MuiseBouncing Ball simulation with Momentum loss
http://www.maplesoft.com/applications/view.aspx?SID=4210&ref=Feed
This worksheet analyzes the bouncing ball problem: projecting a ball horizontally at an initial height, h, with a constant horizontal velocity, vx, under a uniform gravitational acceleration, g; the ball retains a constant fraction of its vertical momentum with each bounce, r. The bouncing ball is simulated and its path curve is plotted.<img src="/view.aspx?si=4210/bouncing.jpg" alt="Bouncing Ball simulation with Momentum loss" align="left"/>This worksheet analyzes the bouncing ball problem: projecting a ball horizontally at an initial height, h, with a constant horizontal velocity, vx, under a uniform gravitational acceleration, g; the ball retains a constant fraction of its vertical momentum with each bounce, r. The bouncing ball is simulated and its path curve is plotted.4210Thu, 24 Jan 2002 11:11:01 ZYufang HaoYufang HaoRolling Wheel on a Parametric Curve
http://www.maplesoft.com/applications/view.aspx?SID=4189&ref=Feed
This worksheet demonstrates the use of Maple for displaying non analytical trajectories and retrieving the common parametric curves.<img src="/view.aspx?si=4189/wheel.gif" alt="Rolling Wheel on a Parametric Curve" align="left"/>This worksheet demonstrates the use of Maple for displaying non analytical trajectories and retrieving the common parametric curves.4189Tue, 04 Dec 2001 10:04:44 ZThomas GrapperonThomas GrapperonShadows and projections of 3-D objects
http://www.maplesoft.com/applications/view.aspx?SID=4144&ref=Feed
This Maple worksheet provides examples and animations of 3-D objects and their shadows. In the first example, a box with two open sides rotates around a light source, and its shadow is projected on the xy plane. In the second example, a rotating ring flies over a hilly landscape, and a travelling sun projects the ring's shadow on the landscape.<img src="/view.aspx?si=4144/shadows.gif" alt="Shadows and projections of 3-D objects" align="left"/>This Maple worksheet provides examples and animations of 3-D objects and their shadows. In the first example, a box with two open sides rotates around a light source, and its shadow is projected on the xy plane. In the second example, a rotating ring flies over a hilly landscape, and a travelling sun projects the ring's shadow on the landscape.4144Thu, 25 Oct 2001 17:09:03 ZSylvain MuiseSylvain MuiseModelling and Animation of Subway Cars
http://www.maplesoft.com/applications/view.aspx?SID=4141&ref=Feed
This worksheet demonstrates the use of Maple for the visualization of the modal analysis of a three-degree-of-freedom system, in the area of vertical vibration of mass-transport systems. It illustrates how to compute: (a) the natural frequencies of the system; (b) the modal vectors of the same; (c) the time response of the system to a pulse-type of input; and (d) the visualization of the above items.<img src="/view.aspx?si=4141/subway.gif" alt="Modelling and Animation of Subway Cars" align="left"/>This worksheet demonstrates the use of Maple for the visualization of the modal analysis of a three-degree-of-freedom system, in the area of vertical vibration of mass-transport systems. It illustrates how to compute: (a) the natural frequencies of the system; (b) the modal vectors of the same; (c) the time response of the system to a pulse-type of input; and (d) the visualization of the above items.4141Thu, 04 Oct 2001 11:38:36 ZJ. AngelesJ. AngelesInterference
http://www.maplesoft.com/applications/view.aspx?SID=4136&ref=Feed
If you drop two stones into a pond, you will see a pattern of interference in the colliding waves resulting from the two stones. The same effect happens when waves from two light sources interact with each other. This Maple application shows what happens when waves of any kind interfere with each other, using animations and pictures. We then take a look at Young's Double Slit Experiment, which examines light waves in particular interfering with each other.<img src="/view.aspx?si=4136/doubleslit.gif" alt="Interference" align="left"/>If you drop two stones into a pond, you will see a pattern of interference in the colliding waves resulting from the two stones. The same effect happens when waves from two light sources interact with each other. This Maple application shows what happens when waves of any kind interfere with each other, using animations and pictures. We then take a look at Young's Double Slit Experiment, which examines light waves in particular interfering with each other.4136Wed, 26 Sep 2001 12:54:06 ZSylvain MuiseSylvain Muise