|
Size: 10234
Comment:
|
Size: 14786
Comment:
|
| Deletions are marked like this. | Additions are marked like this. |
| Line 293: | Line 293: |
== Another Interactive Venn Diagram == by Jane Long (adapted from http://wiki.sagemath.org/interact/misc) This interact models a problem in which a certain number of people are surveyed to see if they participate in three different activities (running, biking, and swimming). Users can indicate the numbers of people in each category, from 0 to 100. Returns a graphic of a labeled Venn diagram with the number of people in each region. Returns an explanatory error message if user input is inconsistent. {{{#!sagecell # Adapted from http://wiki.sagemath.org/interact/misc # An_Interactive_Venn_Diagram # This interact models problems in which a certain number of people are surveyed to see if they participate in three different activities (running, biking, and swimming). Users can indicate the numbers of people, from 0 to 100. Returns a graphic of a labeled Venn diagram with the number of people in each region. Returns an explanatory error message if user input is inconsistent. @interact def _(T=slider([0..100],default=100,label='People surveyed'),X=slider([0..100],default=28,label='Run'), Y=slider([0..100],default=33,label='Bike'), Z=slider([0..100],default=59,label='Swim'),XY=slider([0..100],default=16,label='Run and Bike'),XZ=slider([0..100],default=13,label='Run and Swim'),YZ=slider([0..100],default=12,label='Bike and Swim'),XYZ=slider([0..100],default=7,label='Run, Bike, and Swim')): centers = [(cos(n*2*pi/3), sin(n*2*pi/3)) for n in [0,1,2]] scale = 1.7 clr = ['yellow', 'blue', 'green'] G = Graphics() for i in range(3): G += circle(centers[i], scale, rgbcolor=clr[i], fill=True, alpha=0.3) for i in range(3): G += circle(centers[i], scale, rgbcolor='black') # Label sets G += text('Run',(3,0),rgbcolor='black') G += text('Bike',(-1,3),rgbcolor='black') G += text('Swim',(-1,-3),rgbcolor='black') # Plot pairs of intersections ZX=XZ-XYZ G += text(ZX, (1.3*cos(2*2*pi/3 + pi/3), 1.3*sin(2*2*pi/3 + pi/3)), rgbcolor='black') YX=XY-XYZ G += text(YX, (1.3*cos(0*2*pi/3 + pi/3), 1.3*sin(0*2*pi/3 + pi/3)), rgbcolor='black') ZY=YZ-XYZ G += text(ZY, (1.3*cos(1*2*pi/3 + pi/3), 1.3*sin(1*2*pi/3 + pi/3)), rgbcolor='black') # Plot what is in one but neither other XX=X-ZX-YX-XYZ G += text(XX, (1.5*centers[0][0],1.7*centers[0][1]), rgbcolor='black') YY=Y-ZY-YX-XYZ G += text(YY, (1.5*centers[1][0],1.7*centers[1][1]), rgbcolor='black') ZZ=Z-ZY-ZX-XYZ G += text(ZZ, (1.5*centers[2][0],1.7*centers[2][1]), rgbcolor='black') # Plot intersection of all three G += text(XYZ, (0,0), rgbcolor='black') # Indicate number not in X, in Y, or in Z C=T-XX-YY-ZZ-ZX-ZY-YX-XYZ G += text(C,(3,-3),rgbcolor='black') # Check reasonableness before displaying result if XYZ>XY or XYZ>XZ or XYZ>YZ or XY>X or XY>Y or XZ>X or XZ>Z or YZ>Y or YZ>Z or C<0: print 'This situation is impossible!' if XYZ > XY: print 'The number of people who run, bike, and swim cannot be greater than the number of people who run and bike! (Why?)' if XYZ > XZ: print 'The number of people who run, bike, and swim cannot be greater than the number of people who run and swim! (Why?)' if XYZ > YZ: print 'The number of people who run, bike, and swim cannot be greater than the number of people who bike and swim! (Why?)' if XY > X: print 'The number of people who run and bike cannot be greater than the number of people who run! (Why?)' if XY > Y: print 'The number of people who run and bike cannot be greater than the number of people who bike! (Why?)' if XZ > X: print 'The number of people who run and swim cannot be greater than the number of people who run! (Why?)' if XZ > Z: print 'The number of people who run and swim cannot be greater than the number of people who swim! (Why?)' if YZ > Y: print 'The number of people who bike and swim cannot be greater than the number of people who bike! (Why?)' if YZ > Z: print 'The number of people who bike and swim cannot be greater than the number of people who swim! (Why?)' if C<0: print 'You have indicated too many people! The number of people exceeds the number of people surveyed. (Why?)' else: G.show(aspect_ratio=1, axes=False) }}} |
Sage Interactions - Miscellaneous
goto interact main page
Contents
Hearing a trigonometric identity
by Marshall Hampton. When the two frequencies are well separated, we hear the right hand side of the identity. When they start getting close, we hear the higher-pitched factor in the left-hand side modulated by the lower-pitched envelope.
Karplus-Strong algorithm for plucked and percussive sound generation
by Marshall Hampton
An Interactive Venn Diagram
Unreadable code
by Igor Tolkov
Profile a snippet of code
Evaluate a bit of code in a given system
by William Stein (there is no way yet to make the text box big):
Minkowski Sum
by Marshall Hampton
Cellular Automata
by Pablo Angulo, Eviatar Bach
Another Interactive Venn Diagram
by Jane Long (adapted from http://wiki.sagemath.org/interact/misc)
This interact models a problem in which a certain number of people are surveyed to see if they participate in three different activities (running, biking, and swimming). Users can indicate the numbers of people in each category, from 0 to 100. Returns a graphic of a labeled Venn diagram with the number of people in each region. Returns an explanatory error message if user input is inconsistent.