Cinderella Blog - CindyScript

Nearly-Regular-Bodies

heker@web.de (Wolf-Dieter Heker) — Thu, 25 Feb 2010 22:40:26 +0100

Bitte schalten Sie Java ein, um eine Cinderella-Konstruktion zu sehen.
3-Dimensional view of regular bodies and bodies derived from them.
With partition level and special effect set to 0, it displays regular bodies.

Partitioning means that each face of the polyhedron is split into multiple triangles; higher levels mean recursive splitting.

Special effects include extrusion of the surface midpoints to create a star shape. The "variable part" slider controls the lengt of the prongs. Other effects as cutting the outer edges of the body are experimental.

Just play with the sliders!

Credits: The rendering engine was taken from the KeplerStern3D demo I received from Jürgen Richter-Gebert.

Wire Cables / Drahtseile

heker@web.de (Wolf-Dieter Heker) — Tue, 20 Oct 2009 00:04:19 +0200

Please enable Java for an interactive construction (with Cinderella).
On the righthand side, this construction shows several commercially available variants of cable wires.
The large drawing is a cable wire that can be modified by moving the sliders (the lowest, K, is for the outermost level).
You can construct wire cables with up to 4 levels.

The drawing is done by a small script, using recursive functions.
The cables look similar to fractals, although the cable construction can use different multipiers on each level.

Be careful with the top sliders. You might end up by drawing 61*37*37*37 ~= 3 million circles.

Planetary-Gear-5b.cdy

heker@web.de (Wolf-Dieter Heker) — Fri, 09 Oct 2009 18:09:19 +0200

Please enable Java for an interactive construction (with Cinderella).
Drag any of the green points to move the gear.
The least recently dragged point will stay, the other will move.
Move the yellow point to change the gear configuration (Tooth counts are displayed in the status line). The number of planet wheels is selected automatically, according to gear constraints.

InjektivSurjektiv.cdy

anonymous@cinderella.de (Anonymous Cinderella Submission) — Fri, 18 Sep 2009 15:12:47 +0200

Bitte schalten Sie Java ein, um eine Cinderella-Konstruktion zu sehen.
Injektiv, surjektiv, oder gar keine Abbildung?

Help to Sailors: How to make a bowline / Wie mache ich einen Palstek

heker@web.de (Wolf-Dieter Heker) — Mon, 07 Sep 2009 17:18:20 +0200

Please enable Java for an interactive construction (with Cinderella).

Continue reading "Help to Sailors: How to make a bowline / Wie mache ich einen Palstek"

An example with CindyScript

anonymous@cinderella.de (Anonymous Cinderella Submission) — Sun, 12 Jul 2009 15:18:31 +0200

Please enable Java for an interactive construction (with Cinderella).
Here you see two complete graphs separated by a line.

Optics Simulation: RAY-ModelEye-demo

heker@web.de (Wolf-Dieter Heker) — Thu, 09 Apr 2009 23:36:19 +0200

Please enable Java for an interactive construction (with Cinderella).
Ray is an optical simulation system, developed jointly by Wolf-Dieter Heker (ray tracing) and Robert Hemingway (user interface). The example scenario shows a human eye. On the left there is a light source "flood". You can move the whole light source by moving point lf0'flood. Change the direction by moving the small unlabelled point right to lf0'flood. Click on cp0'flood to toggle between the characteristics of "flood": green means parallel, blue divergent, black convergent and red is free form. Above "flood", there is a yellow point labeled "flood rays". You can move this slider to change the number of rays.
Please change the flood back to parallel state (green).
Right to the light source, you can see a lens labeled "glasses". Click on the green point labeled "ch0'glasses" and the glasses will disappear; the point changes to red. The poor man has lost his glasses and you can see that the light is no more focused on the retina.
Now have a look at the iris, represented by two black segments. Move the lower end of the upper segment to close the iris (the lower segment will automatically keep the diaphragm symmetric). You will realize that blinking the eyes helps to get a sharp image in case you have lost your glasses.
Restore the iris to its original state and click again on "ch0'glasses"; the glasses will come back.
Now move the blue point below "ch0'glasses". This is a slider that lets you control the refractive index of the glasses. Click on the pink points near the center of the glasses to change the shape of the lens. Move the point "n0'glasses" to move the complete lens. Press the button "drag mode" on the upper right. Move "n0'glasses" to move the edge of the lens only. The lens will keep its symmetry to the axis defined by the black points.
Now click on "n0'glasses" to change the surface properties of the lens. Click and move to experiment.

Click on button "Controls" and then on "Clear All". Now move MakePt to the left of the canvas. Click on buttons "Sources", "Laser", Lenses", "Para/Flat", "Others", "Prism", "Mirrors", "Mirror" and have fun.

BorweinIteration3.cdy

anonymous@cinderella.de (Anonymous Cinderella Submission) — Mon, 01 Dec 2008 14:06:45 +0100

Bitte schalten Sie Java ein, um eine Cinderella-Konstruktion zu sehen.
Eine interessante Iteration.

Mesolabium, calculating a cube root

heker@web.de (Wolf-Dieter Heker) — Tue, 16 Oct 2007 21:29:07 +0200

Bitte schalten Sie Java ein, um eine Cinderella-Konstruktion zu sehen.
For |RJ| < 1, the construction sets |PC| to the cube root of |RJ|.
A simple script is used to avoid a cyclic reference in the construction.
Thus, it provides an iterative solution to a problem that cannot be solved by a pure construction.

Move point R' to change |RJ|

Tangent to conic drawn by script, using Pascal's theorem

heker@web.de (Wolf-Dieter Heker) — Tue, 16 Oct 2007 20:58:21 +0200

Bitte schalten Sie Java ein, um eine Cinderella-Konstruktion zu sehen.
Based on Pascal's theorem, the script calculates a tangent throug F on a conic defined by A,B,C,D,E.

The green and black lines illustrate the intermediate results.

Automatischer Rasenmäher

kortenkamp@cinderella.de (Ulrich Kortenkamp) — Tue, 17 Jul 2007 14:16:21 +0200

Please enable Java for an interactive construction (with Cinderella).
Der schwarze Rasenmäher fährt geradlinig bis zum Rand des Rasens
und wird dann reflektiert. Mit den Schiebereglern kann die Genauigkeit der Reflektion,
die Anzahl der Reflektionen und die Breite der Spur eingestellt werden.

Animated Rotation

kortenkamp@cinderella.de (Ulrich Kortenkamp) — Thu, 31 May 2007 21:38:28 +0200

Please enable Java for an interactive construction (with Cinderella).
Animating a rotation with CindyScript.

MoveReflection.cdy

anonymous@cinderella.de (Anonymous Cinderella Submission) — Tue, 29 May 2007 17:48:28 +0200

Please enable Java for an interactive construction (with Cinderella).
Moving a polygon on the push of a button.

Pressing "Animation!" will trigger the following CindyScript:

p=[[C,H,P],[G,N,Q],[F,M,R],[E,L,S],[D,K,O]];

repeat(100, factor, start->0, stop->1,
forall(p,(#_3).xy=(1-factor)*#_1 + factor*#_2);
repaint();
)

Unnamed

anonymous@cinderella.de (Anonymous Cinderella Submission) — Fri, 16 Mar 2007 00:25:56 +0100

Bitte schalten Sie Java ein, um eine Cinderella-Konstruktion zu sehen.
Bitte schalten Sie Java ein, um eine Cinderella-Konstruktion zu sehen.

Rechtwinkling, Gleichschenklig, Gleichseitig, Beliebig

anonymous@cinderella.de (Anonymous Cinderella Submission) — Thu, 01 Mar 2007 13:03:14 +0100

Please enable Java for an interactive construction (with Cinderella).
Klicken Sie auf die SchaltflŠchen!

Pong2.cdy

anonymous@cinderella.de (Anonymous Cinderella Submission) — Thu, 01 Mar 2007 13:01:58 +0100

Please enable Java for an interactive construction (with Cinderella).
A simple Pong-type game.

Spiro.cdy

anonymous@cinderella.de (Anonymous Cinderella Submission) — Wed, 21 Feb 2007 15:42:12 +0100

Bitte schalten Sie Java ein, um eine Cinderella-Konstruktion zu sehen.
A simple example for producing Spirograph-like
patterns (Cycloids) in CindyScript.

The entire script is:

====================



n=250;



//Picking the parameters from the sliders:

s=|A,C|;

k=round(10*(|D,F|-1));

l=round(10*(|G,K|-1));



//Draw the numbers

drawtext(K+(0.1,0.1),l);

drawtext(F+(0.1,0.1),k);





//Calculate the curve points

pts=apply(0..n,i,

       w=i*2*pi/n; 

       (sin(l*w),cos(l*w))+s*(cos(k*w),sin(k*w));  

    );



//Draw them

connect(pts,size->1);

drawall(pts,size->1,border->false,color->(0.5,0,0));