// RII.fe
// Surface Evolver datafile for Schoen's triply periodic RII surface
// In 45 degree right prism.  Not the smallest possible fundamental region,
// but convenient.

// Programmer: Ken Brakke, brakke@susqu.edu, http://www.susqu.edu

/* Commands:
   gogo - typical evolution
   layers - 4 x 4 grid of two layers
   stack4 - stack of units showing tunnels resolving two perpendicular planes
   stack8 - stack of units showing tunnels resolving four planes
   transforms off - show just single fundamental region
   setcolor - to color one side yellow, as in my web page.

   To turn off showing all the edges in the graphics display,
      hit the "e" key in the graphics window.
*/


#define HT  .2    // height of prism

view_transform_generators 6 // one 180 degree rotation about each line
swap_colors
1 0 0 0    // a: x-axis
0 -1 0 0
0 0 -1 0 
0 0 0 1

swap_colors
-1 0 0 0  // b: y-axis
0 1 0 0 
0 0 -1 0
0 0 0 1

swap_colors
0 -1 0 1  // c: hypoteneuse
-1 0 0 1
0 0 -1 0
0 0 0 1


swap_colors
1 0 0 0    // d: x-axis upper
0 -1 0 0
0 0 -1 2*HT 
0 0 0 1

swap_colors
-1 0 0 0  // e: y-axis upper
0 1 0 0 
0 0 -1 2*HT
0 0 0 1

swap_colors
0 -1 0 1  // f: hypoteneuse upper
-1 0 0 1
0 0 -1 2*HT
0 0 0 1


vertices
1    0 0 0 fixed
2    1 0 0 fixed
3    0 1 0 fixed
4    0 0 HT fixed
5    1 0 HT fixed
6    0 1 HT fixed

edges
1   1 2 fixed
2   2 3 fixed
3   3 1 fixed
4   4 5 fixed
5   5 6 fixed
6   6 4 fixed
7   1 4
8   2 5
9   3 6

faces
1   1 8 -4 -7
2   2 9 -5 -8
3   3 7 -6 -9

read
hessian_normal

// typical evolution
gogo := { refine edge where id>=7 and id <= 9;
       l 0.8; g 5; u; r; g 25; V; u;
       refine edge where original==8 or original==9;
       r; u; g 5; V; r; g 12; V; 
       refine edge where valence==1;
       hessian; V; V; u; V; u; V;
       t .015; u; V; u; V; hessian; hessian; 
	  }

// Set inside color to yellow
setcolor := { set facet backcolor yellow }

// 4x4 grid of two layers
layers := { transform_expr "fdfedfe"; show_trans "R"; }

// Tunnel resolution of 4 intersecting planes
stack8 := { transform_expr "fbfefe"; show_trans "R"; }

// Tunnel resolution of 2 intersecting planes
stack4 := { transform_expr "eaedabab"; show_trans "R"; }

/* Commands:
   gogo - typical evolution of one triangular unit
   layers - 4 x 4 grid of two layers
   stack4 - stack of units showing tunnels resolving two perpendicular planes
   stack8 - stack of units showing tunnels resolving four planes
   transforms off - show just single fundamental region
   setcolor - to color one side yellow, as in my web page.

   To turn off showing all the edges in the graphics display,
      hit the "e" key in the graphics window.
*/