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Philip Yasskin, a long-time Maple user and professor at Texas A&M University is passionate about getting young people engaged in mathematics. One of his programs is SEE-Math: a two-week summer day camp for gifted middle school children interested in math. Maplesoft has been a long-standing supporter of SEE-Math, providing software and prizes for the campers.

A major project in SEE-Math is developing computer animations using Maple. Students spend their time creating various animations, in hopes of taking the top prize at the end of the workshop. A slew of animations are submitted, some with pop-culture references, elaborate plot lines, and incredible detail. The top animations take home prizes, while all animations from that year are featured on the SEE-Math website.

Maplesoft proudly sponsors this event, and many like it, to promote interest in STEM education. To see all of the animations from this year’s SEE-Math camp, please visit: http://see-math.math.tamu.edu/2015/. You can find the animations listed under “Euler,” “Godel,” “Noether,” and “Ramanujan,” found halfway down the page.

hello

took this problem from a uk tv program.

4 dancers are initially at the 4 corners of a square, edge length 4 meters. every dancer moves towards the person on their left.

i want to know the equations of the spiral. the arc length of each path should be 4m.  also an animation of the 4 spirals would be great. 

dance.mw

under the heading "more spirals" the closest one is r(t)=1/t (decreasing modulus)

http://mathematische-basteleien.de/spiral.htm

 

       Calculation of RSCR mechanism as a  solution to underdetermined system of nonlinear equations.  

 

RSCR.mw 

https://vk.com/doc242471809_376439263
https://vk.com/doc242471809_408704758

RCCC mechanism
https://vk.com/doc242471809_375452868

A duck, pursued by a fox, escapes to the center of a perfectly circular pond. The fox cannot swim, and the duck cannot take flight from the water. The fox is four times faster than the duck. Assuming the fox and duck pursue optimum strategies, is it possible for the duck to reach the edge of the pond and fly away without being eaten? If so, how?

http://www.crazyforcode.com/fox-duck-puzzle/

there is an animation here

https://www.youtube.com/watch?v=Zw9cHEnhzWo

wonder if the equations of motion can be derived usingg maple and an animaton...?

Hi, is it possible to instantly start the display of plot animations after they are generated in maple? I searched for answers in the documentation and on the internet but couldn't find a solution. I would like to skip the step of manually clicking the plot and the "play animation" button.

What do I have to change to get this animation?

L:=[seq([i,i^2], i=1..4)]:

plots:-animate(plot, [ L[m], m=1..k,

                                style=point, view=[0..4,0..16]

                              ],

                                k=1..4

                     );

Thank you for your help.

Hello,

Is it possible to create animation of convolution of two functions?

For example f(t)=u(t)-u(t-2) and g(t) = tu(t)-(t-4)u(t-4), where u(t) is a step function.

I would like to generate animation for this convolution.

Any help would be appreciated.

 

Thanks.

So this is my minimal working code. Everything works, but I cannot get the arrow size fixed you can see the animation propperly. Adding wid=1/2 gives an error message.

A heart shape in 3d:

 

 

The code of the animation:

A := plots[animate](plot3d, [[16*sin(t)^3*cos(s), 16*sin(t)^3*sin(s), 13*cos(t)-5*cos(2*t)-2*cos(3*t)-cos(4*t)], t = 0 .. u, s = 0 .. 2*Pi, color = red, style = surface, axes = none], u = 0 .. Pi, frames = 100):

B := plots[animate](plot3d, [[16*sin(t)^3*cos(s), 16*sin(t)^3*sin(s), 13*cos(t)-5*cos(2*t)-2*cos(3*t)-cos(4*t)], t = u .. Pi, s = 0 .. 2*Pi, color = "LightBlue", style = surface, axes = none], u = 0 .. Pi, frames = 100):

plots[display](A, B);

 

Edited. The direction of painting changed.

 

Hi everyone,

 

I am using the following code (by dr. Corless) to animate a Riemann surface:

 

restart;
with(plots);
B := 1.5;
u2 := r*cos(th); v2 := r*sin(th);
w1 := u1+I*v1; w2 := u2+I*v2;
z1 := evalc(w1^2); z2 := evalc(w2^2);
x1 := evalc(Re(z1)); x2 := evalc(Re(z2));
y1 := evalc(Im(z1)); y2 := evalc(Im(z2));
f1 := proc (theta) options operator, arrow; plot3d([-x1, -y1, v1], u1 = -6 .. 1, v1 = -B .. B, grid = [50, 50], orientation = [theta, 80], color = u1) end proc;
f2 := proc (theta) options operator, arrow; plot3d([-x2, -y2, v2], r = 1 .. 1, th = -Pi .. Pi, grid = [50, 50], orientation = [theta, 80], color = black) end proc;
display(seq([f1(10*k), f2(10*k)], k = -17 .. 18), insequence = true, axes = box, view = [-1 .. 1, -1 .. 1, -B .. B]);

f1 is the Riemann surface and f2 is the winding curve.

The animation works fine on the individual plots, i.e. when I do:

display(seq(f1(10*k), k = -17 .. 18), insequence = true, axes = box, view = [-1 .. 1, -1 .. 1, -B .. B]);

or

display(seq(f2(10*k), k = -17 .. 18), insequence = true, axes = box, view = [-1 .. 1, -1 .. 1, -B .. B]);

but with both f's (as in my modification)  the animation does not combine correctly the two plots and shows them separately. Is there any way I can combine the plots so that display produces a smooth animation with each rotated frame containing its winding curve?

 

Many thanks,

Yiannis

D_Method.mw

The classical Draghilev’s method.  Example of solving the system of two transcendental equations. For a single the initial approximation are searched 9 approximate solutions of the system.
(4*(x1^2+x2-11))*x1+2*x1+2*x2^2-14+cos(x1)=0;
2*x1^2+2*x2-22+(4*(x1+x2^2-7))*x2-sin(x2)=0; 
x01 := -1.; x02 := 1.;


Equation: ((x1+.25)^2+(x2-.2)^2-1)^2+(x3-.1)^2-.999=0;



a_cam_3D.mw

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