"polygon"

Polygon without hole

[ "polygon", "name", [x1, y1], [x2,y2],..., state ]

Polygon with light gray fill, represents bodies of arbitrary shape.

• "name" not used
• [x1, y1], [x2,y2],... any number of vertices to create the polygon
• state (optional)

[
  [ "grid", "x","y", -5,5,-4,5, 50, [10,10], [0,0] ],
  [ "polygon", "name", [-1, 2], [0,3], [1,2],[0.5,1],[-0.5,1] ]
]

Polygon with hole

[ "polygon", "name", [[x11, y11], [x12,y12],...],[[x21,y21],[x22,y22],...], ..., state ]

Polygon with light gray fill, represents bodies of arbitrary shape.

• "name" not used
• [[x11, y11], [x12,y12],...] any number of vertices to create the main polygon
• [[x21, y21], [x22,y22],...] any number of vertices to create a polygon that is subtracted from the main polygon (optional),
• state (optional)

The orientation (clockwise or counterclockwise) of the inner polygons must opposite to the outer polygon. In fact, all contours are concatenated and the connecting lines are suppressed.

Multiple contours of the same orientation create a set of disjoint filled polygons.

Examples

[
  [ "grid", "x","y", -5,5,-4,5, 50, [10,10], [0,0] ],
  [ "polygon", "name", [[1, 2], [2,3], [3,2],[2.5,1],[1.5,1]] ]
]

[
  [ "grid", "","", -5,5,-4,5, 50, [10,10], [0,0] ],
  [ "polygon", "name", [[-2,-2],[0,2],[2,-2]], [[-0.5,0], [0.5,0], [0.5,-1.5],[-0.5, -1.5]] ]
]

[
  [ "grid", "","", -5,5,-4,5, 50, [10,10], [0,0] ],
  [ "polygon", "name", [[0, 2], [2,4], [4,2],[4,0],[0,0]], [[1,-1], [1, 2], [3,2], [3,-1]] ]
]

Rounded Polygon

Utilizing Maxima within the STACK environment, a rounded segment can be seamlessly integrated into the polygon by generating a list and appending it to the existing polygon structure.

HK: makelist([-1,0]+[2*cos(phi), 2*sin(phi)], phi, (3*pi)/2, pi/2, -pi/20);

initdata: [
  [ "grid", "","", -5,5,-4,5, 50 ],
  [ "polygon", "name", append([[-1, 2], [4,2], [4,-2],[-1,-2]], HK), [[-1,1],[-1,-1],[2,-1],[2,1]] ]
];
init: stackjson_stringify(initdata);