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1 ePiX -- samples/README
2
3 Last Change: October 23, 2007
4
5 This directory contains sample files. Files with extension ".flx" may
6 be compiled like xp files with epix or elaps, or converted to gif or
7 mng animations with flix.
8
9
10 artifacts.xp
11 Interaction between coarse and fine meshes in shade surface plotting.
12
13 binom.cc:
14 Generates pseudo-random data for histogram.xp
15
16 bowl.xp:
17 Quasi-realistic colored surface shading.
18
19 butterfly.xp:
20 A Thom catastrophe graph.
21
22 calculus.xp:
23 Plotting derivatives and definite integrals.
24
25 clipping.xp:
26 Clipping, shaded surfaces, and fake transparency.
27
28 color_sep.xp:
29 Color separation.
30
31 conic.xp:
32 Envelopes and tangent lines; projective equivalence of a parabola
33 with a circle.
34
35 contour.xp:
36 Building a path from sub-paths.
37
38 coord_tricks.xp:
39 Using page layout to achieve broken axes.
40
41 cropplot.xp
42 Graphing functions with singularities.
43
44 cube.flx:
45 Stereoscopic (3-D glasses) movie of a rotating cube.
46
47 dataplot.xp:
48 Scatter plots, histograms, and page layout.
49
50 decorate.xp:
51 Decorated shaded surface (see file for compiling).
52
53 demoivre.xp:
54 Loops; a geometric proof of deMoivre's formula.
55
56 densityplot.xp:
57 A gray-shaded interference pattern.
58
59 dipole.xp:
60 Plotting flow lines and isobars.
61
62 denom.xp:
63 Loops and gcd; Thomae's function with discontinuity set Q.
64
65 extract.xp:
66 A magnified inset using screen::extract; an unexpected tangent line.
67
68 geomsum.xp:
69 Loops and color filling.
70
71 golden_rect.xp:
72 Simple use of variables; constructing a golden rectangle.
73
74 helicoid.flx:
75 Isometric deformation of a catenoid to a helicoid.
76
77 hello.xp:
78 My First Figure, from the manual.
79
80 histogram.xp:
81 Histograms of simulated coin tosses (data from binom.cc).
82
83 house.flx:
84 Color semantics; sun setting on a simple house.
85
86 hyperboloid.xp:
87 Clipping, shaded surfaces; two families of rulings on a hyperboloid.
88
89 inverse.xp:
90 Screen affine operations; inverse functions.
91
92 koch.xp:
93 The von Koch snowflake fractal.
94
95 label_debug.xp:
96 Format debugging tests for labels, draws 32 attribute combinations.
97
98 layout2.xp:
99 Page layout; flow lines of a planar vector field.
100
101 layout.xp:
102 Page layout; six views of the square root Riemann surface.
103
104 legend.xp:
105 Axes and legends; Taylor polynomials of sin x.
106
107 levelset.xp:
108 Clipping and plotting; manual level curves on a saddle.
109
110 levelset2.xp:
111 "Advanced" clipping; level bands on a monkey saddle.
112
113 levelset3.xp:
114 Clipping and legends; flat-shaded level bands wth matching legend.
115
116 lissajous.xp:
117 A Lissajous figure with arrows.
118
119 lighting.h: Classes for lighting effects and color-shaded surfaces.
120 (lighting.flx illustrates use.)
121
122 line_debug.xp:
123 Format debugging tests for paths, draws 32 attribute combinations.
124
125 log.xp:
126 Object hiding with paths and surfaces; the Riemann surface of log.
127
128 lorenz.xp:
129 Page layout, ode_plot; the Lorenz attractor and its 3-D vector field.
130
131 medians.xp:
132 Euclidean geometry; medians and altitudes of a triangle.
133
134 minkowski.xp:
135 A longitudinal slice of Minkowski space R^{2,1}.
136
137 mirrorball.flx:
138 The circle class and intersections; 3-D stereographic movie.
139
140 newton.xp:
141 Loops; root location by Newton's method.
142
143 objects.xp:
144 Simple geometric objects; 2-D landscape.
145
146 oscillator.xp:
147 Graphing, user-defined elements, and page layout.
148
149 parabola.xp:
150 A basic plot.
151
152 pascal.xp:
153 Intersection operators; Pascal's theorem in projective geometry.
154
155 pendulum.flx:
156 Phase diagram of an undamped pendulum.
157
158 planes.xp:
159 Manipulating objects, clipping; a stack of plane sections of a cube.
160
161 plotting2.xp:
162 Surface plotting in PSTricks; from the manual.
163
164 plotting3.xp:
165 Loops and color control; from the manual.
166
167 plotting.xp:
168 A basic plot; from the manual.
169
170 polar.xp:
171 Polar plotting.
172
173 pole.xp:
174 Clipping a plot; the real part of a first-order pole.
175
176 polyhedra.xp:
177 Spherical regular polyhedra. Compilation controlled with
178 pre-processor flags, e.g., "epix -DCOLOR -DDODECA polyhedra.xp".
179
180 R_demo.xp:
181 Gaussians from the R demo.
182
183 riemann.flx:
184 Rotating the Riemann surface of sqrt(z) in R^4.
185
186 S2_harmonics.xp:
187 Domain-dependent surface shading (color function depends on two
188 variables), page layout; the spherical harmonic Y_3^0. (Compile with
189 "epix -DY20 S2_harmonics.xp" for Y_2^0.)
190
191 saddle.xp:
192 A quadratic saddle using "surface" capabilities.
193
194 semicirc.xp:
195 A simple figure using variables and a function for organization.
196
197 shadeplot.xp:
198 Shading regions enclosed by graphs; the fundamental theorem of calculus.
199
200 slopefield.xp:
201 A slope field and flow lines.
202
203 sphere.xp:
204 Plotting curves and latitudes/longitudes; loxodromes.
205
206 spherical.xp:
207 Scenery (multiple shaded surfaces); spherical coordinates.
208
209 sqrt.xp:
210 Domains and selective plotting; the Riemann surface of sqrt(z).
211
212 sqrt2.xp:
213 Domains, selective plotting, and change of style in a single plot.
214
215 std_F.cc, std_F.h:
216 Extensively-commented library code for depicting 2-D affine maps.
217
218 std_F.xp:
219 Sample file illustrating the use of external libraries. Contains
220 instructions on building a library from std_F.cc.
221
222 steiner.flx:
223 Steiner's Roman surface, rotating.
224
225 steiner2.flx:
226 Steiner's Roman surface sliced, with slice direction rotating.
227
228 stereo_proj.flx:
229 The image of a rotating half-sphere under stereographic projection.
230
231 surface_shade.xp:
232 Position-dependent surface shading. (Color function depends on three
233 variables.)
234
235 symmetries.xp:
236 Affine maps and layout; the symmetry group S_3 acting on a regular
237 hexagon.
238
239 tori.xp:
240 Clipping and cropping, page layout.
241
242 torus.xp:
243 Domains and selective plotting.
244
245 trig.flx:
246 Trigonometric functions.
247
248 twisted_cubic.xp:
249 Page layout; a crossed-eyes stereogram of the twisted cubic.
250
251 uppersum.xp:
252 Riemann sums.
253
254 vfield.xp:
255 3-D vector field plotting.
256
257 weierstrass.xp:
258 Loops; a Weierstrass nowhere-differentiable function.
259
260 wheel.xp:
261 Page layout; a cycloid at successive times.