Differences between revisions 10 and 23 (spanning 13 versions)
Revision 10 as of 2009-03-21 19:42:19
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Comment:
Revision 23 as of 2020-06-02 15:12:19
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Editor: kcrisman
Comment:
Deletions are marked like this. Additions are marked like this.
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{{{ {{{#!sagecell
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from math import cos,sin
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    from math import cos, sin
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    (sum(lpaths)+nested+polys).save('/Users/mh/Desktop/Pursuit1.pdf',axes = False, figsize = [5,5], xmin = -1, xmax = 1, ymin = -1, ymax =1)
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}}}
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{{{ {{{#!sagecell
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        print "Bug selecting plot?"         print("Bug selecting plot?")
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    html('<h2>%s</h2>'%example)     pretty_print(html('<h2>%s</h2>'%example))
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        html('<h3><a target="_new" href="%s">%s</a></h3>'%(url,url))
    show(P, viewer='tachyon' if tachyon else 'jmol', frame=frame)
        pretty_print(html('<h3><a target="_new" href="%s">%s</a></h3>'%(url,url)))
    show(P, viewer='tachyon' if tachyon else 'threejs', frame=frame)
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{{{ {{{#!sagecell
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{{{ {{{#!sagecell
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         viewer='tachyon' if tachyon else 'jmol',          viewer='tachyon' if tachyon else 'threejs',
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{{{ {{{#!sagecell
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@interact
def _(band_number = selector(range(1,5)), current_color = Color('red')):

@interact
def _(band_number = selector(range(1,5)), current_color = Color('red'), auto_update=False):
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{{{
@interact
def color_experimenter(expression=input_box('', 'Expression', str), color=Color('red')):
{{{#!sagecell
@interact
def color_experimenter(expression=input_box('x^2', 'Expression', str), color=Color('red')):
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            print "There's a problem with your expression."             print("There's a problem with your expression.")
    else:
        print("Be sure to enter a plottable expression")
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== Interactive 2d Plotting == == Interactive 2D Plotting ==
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{{{ {{{#!sagecell
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    print '<html><p style="font-family:Arial, sans-serif;color:#000"><span style="color:red;font-weight:bold">Error</span>: %s</p></html>' % msg     pretty_print(html('<p style="font-family:Arial, sans-serif;color:#000"><span style="color:red;font-weight:bold">Error</span>: %s</p>' % msg))
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            print error_msg('This is not an expression.')             print(error_msg('This is not an expression.'))
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                    print "var('%s')\nplot(%s).show(%s%s%s)" % (expression.variables()[0], repr(expression), 'aspect_ratio=1' if square else '', ', ' if square and not axes else '', 'axes=False' if not axes else '')                     print("var('%s')\nplot(%s).show(%s%s%s)" % (expression.variables()[0], repr(expression), 'aspect_ratio=1' if square else '', ', ' if square and not axes else '', 'axes=False' if not axes else ''))
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                    print "var('%s')\nplot(%s)" % (expression.variables()[0], repr(expression))                     print("var('%s')\nplot(%s)" % (expression.variables()[0], repr(expression)))
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            print error_msg('This expression has more than one variable.')             print(error_msg('This expression has more than one variable.'))
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            print error_msg("This expression contains an unknown function.")             print(error_msg("This expression contains an unknown function."))
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== Interact with matplotlib ==
{{{#!sagecell
# Simple example demonstrating how to interact with matplotlib directly.
# Comment plt.clf() to get the plots overlay in each update.
# Gokhan Sever & Harald Schilly (2010-01-24)

from scipy import stats
import numpy as np
import matplotlib.pyplot as plt

@interact
def plot_norm(loc=(0,(0,10)), scale=(1,(1,10))):
    rv = stats.norm(loc, scale)
    x = np.linspace(-10,10,1000)
    plt.plot(x,rv.pdf(x))
    plt.grid(True)
    plt.savefig('plt.png')
    plt.clf()
}}}
{{attachment:matplotlib_interact.png}}

== Spirograph ==
{{{#!sagecell
#---------------------------#
# Javier Pérez Lázaro #
# Logroño (Spain) #
# [email protected] #
#---------------------------#

#introduction

html('<h1><center>Spirograph</center></h1>')
text1='Spirograph is a tool for drawing hypotrochoids and epitrochoids.'
text2='Assume that a A is a point attached to a circle. A can be attached to the boundary of the circle or to any exterior or interior place. If the circle rolls around the outside of a fixed circle, the curve traced by the point A is called an epitrochoid. In case the circle rolls around the inside of a fixed circle, the curve is an hypotrochoid.'
text3='If the quotient between the radii of the circles is a rational number, then the curves are periodic.'

#the code

@interact
def fun(
tex1=text_control(text1), tex2=text_control(text2), tex3=text_control(text3),
h=('Select:',list(['epitrochoid','hypotrochoid'])),
tex4=text_control('Radius of the circle. Should be a rational number with shape p/q.'),
b=input_box(default=7/30,label='radius'),
tex5=text_control("Rate between the distance of the point to the circle's center and the radius."),
rate=input_box(default=1),
u=selector(['Plot the curve. Slider of % below enabled.',
'Build an animation of the plot with the number of frames specified below.'],label='Choose:'),
per=slider(0,100,1,default=100,label='graph %'),
frames=100,
cir_bool=checkbox(True, "Show circles?"),
auto_update=false):
    draw=True
    if h == 'hypotrochoid' and (b >= 1 or b <= 0):
        print("In a hypotrochoid, radius must be between 0 and 1.")
        draw = False
    if h == 'epitrochoid' and b <= 0:
        print("In a epitrochoid, radius must be positive")
        draw=False
    if draw==True:
        if h=='hypotrochoid': b=-b
        var('t')
        cx=(1+b)*cos(t*b/(1+b))
        cy=(1+b)*sin(t*b/(1+b))
        px=cx-b*rate*cos(t)
        py=cy-b*rate*sin(t)
        axeM=1+max([0,b+abs(b)*rate])
        if u=='Plot the curve. Slider of % below enabled.':
            tMax=pi*denominator(b/(b+1))*per/50
            L=parametric_plot((px,py),(t,0,max([0.001,tMax])),plot_points=10*rate*tMax)
            if cir_bool:
                p=point((px(t=tMax),py(t=tMax)),pointsize=30,color='blue')
                c=point((cx(t=tMax),cy(t=tMax)),pointsize=30,color='red')
                cir=circle((cx(t=tMax),cy(t=tMax)),b,color='red')
                lin=line([(cx(t=tMax),cy(t=tMax)),(px(t=tMax),py(t=tMax))])
                L+=circle((0,0),1)+cir+lin+p+c
            show(L,aspect_ratio=1,xmin=-axeM,xmax=axeM,ymin=-axeM,ymax=axeM)
        if u=='Build an animation of the plot with the number of frames specified below.':
            tMax=2*pi*denominator(b/(b+1))
            step=tMax/(frames-1)
            curva=Graphics()
            v=[]
            for a in srange(step,tMax,step):
                curva+=parametric_plot((px,py),(t,a-step,a))
                L=curva
                if cir_bool:
                    cx_a=cx(t=a)
                    cy_a=cy(t=a)
                    px_a=cx_a-b*rate*cos(a)
                    py_a=cy_a-b*rate*sin(a)
                    p=point((px_a,py_a),pointsize=30,color='blue')
                    c=point((cx_a,cy_a),pointsize=30,color='red')
                    cir=circle((cx_a,cy_a),b,color='red')
                    lin=line([(cx_a,cy_a),(px_a,py_a)])
                    L+=circle((0,0),1)+cir+lin+c+p
                v.append(L)
            animate(v,xmin=-axeM,xmax=axeM,ymin=-axeM,ymax=axeM,aspect_ratio=1).show()
}}}
{{attachment:interactive_animate_spirograph.png}}

Sage Interactions - Graphics

goto interact main page

Curves of Pursuit

by Marshall Hampton.

pcurves.png

Catalog of 3D Parametric Plots

parametricplot3d.png

Interactive rotatable raytracing with Tachyon3d

tachyonrotate.png

Interactive 3d plotting

tachyonplot3d.png

Somewhat Silly Egg Painter

by Marshall Hampton (refereed by William Stein)

eggpaint.png

Plot Coloring

by Timothy Clemans

color_of_plot_changer.png

Interactive 2D Plotting

by Timothy Clemans

interactive_2d_plotting.png

Interact with matplotlib

matplotlib_interact.png

Spirograph

interactive_animate_spirograph.png

interact/graphics (last edited 2020-06-02 15:13:32 by kcrisman)