florian/hyperbolic_tilings
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draw arcs

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Florian Stecker
2019-12-23 12:29:50 +01:00
parent 4b09b099c2
commit 2c087a6a1c
1 changed files with 11 additions and 4 deletions
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15
hyperbolic.c
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@@ -191,7 +191,7 @@ int main()
gsl_matrix *coxeter_eigenvectors[3]; gsl_matrix *coxeter_eigenvectors[3];
gsl_matrix *frame; gsl_matrix *frame;
workspace_t *ws; workspace_t *ws;
int elements = 5000; int elements = 100;
int p = 5, q = 5, r = 5; int p = 5, q = 5, r = 5;
group = malloc(elements*sizeof(groupelement_t)); group = malloc(elements*sizeof(groupelement_t));
@@ -229,13 +229,18 @@ int main()
point coxeter_attracting[3]; point coxeter_attracting[3];
point coxeter_repelling[3]; point coxeter_repelling[3];
point coxeter_axes[3];
point edge_midpoints[3];
point reflection_lines[3]; point reflection_lines[3];
point triangle_points[3]; point triangle_points[3];
point transformed[3]; point transformed[3];
point transformed2[3]; point transformed2[3];
point transformed3[3];
LOOP(i) coxeter_attracting[i] = column(coxeter_eigenvectors[i], 0); LOOP(i) coxeter_attracting[i] = column(coxeter_eigenvectors[i], 0);
LOOP(i) coxeter_repelling[i] = column(coxeter_eigenvectors[i], 2); LOOP(i) coxeter_repelling[i] = column(coxeter_eigenvectors[i], 2);
LOOP(i) coxeter_axes[i] = incidence(coxeter_attracting[i], coxeter_repelling[i]);
LOOP(i) edge_midpoints[i] = incidence(coxeter_axes[(i+1)%3], coxeter_axes[(i+2)%3]);
LOOP(i) reflection_lines[i] = row(cartan, i); LOOP(i) reflection_lines[i] = row(cartan, i);
LOOP(i) triangle_points[i] = incidence(reflection_lines[(i+1)%3], reflection_lines[(i+2)%3]); LOOP(i) triangle_points[i] = incidence(reflection_lines[(i+1)%3], reflection_lines[(i+2)%3]);
@@ -252,13 +257,15 @@ int main()
draw_triangle(transformed, frame, "black,fill=black!10,line width=0pt"); draw_triangle(transformed, frame, "black,fill=black!10,line width=0pt");
} }
for(int k = 0; k < elements; k++) { for(int k = 0; k < 10; k++) {
if(group[k].length % 2) if(group[k].length % 2)
continue; continue;
LOOP(i) transformed[i] = apply(matrices[k], coxeter_attracting[i]); LOOP(i) transformed[i] = apply(matrices[k], edge_midpoints[(i+2)%3]);
LOOP(i) transformed2[i] = apply(matrices[k], coxeter_repelling[i]); LOOP(i) transformed2[i] = apply(matrices[k], coxeter_repelling[i]);
LOOP(i) draw_line(transformed[i], transformed2[i], frame, "red"); LOOP(i) transformed3[i] = apply(matrices[k], coxeter_repelling[(i+1)%3]);
draw_line(transformed[1], transformed2[1], frame, "red");
draw_line(transformed[1], transformed3[1], frame, "red");
} }
print_tex_footer(); print_tex_footer();