Hylograph.Shape.Polygon

regularPolygonPoints :: Number -> Number -> Number -> Int -> String

Generate points for a regular n-sided polygon

Arguments:

• cx: Center x coordinate
• cy: Center y coordinate
• radius: Distance from center to vertices
• sides: Number of sides (3 = triangle, 4 = square, etc.)

Returns: SVG points string "x1,y1 x2,y2 ..."

First vertex is at 12 o'clock (pointing up), vertices proceed clockwise.

trianglePoints :: Number -> Number -> Number -> String

Equilateral triangle (3 sides) First vertex points upward

squarePoints :: Number -> Number -> Number -> String

Square (4 sides) First vertex points upward (like a diamond rotated 45°) For axis-aligned square, use diamondPoints

diamondPoints :: Number -> Number -> Number -> String

Diamond (4 sides, axis-aligned) Vertices at top, right, bottom, left This is the "natural" orientation for a diamond shape

pentagonPoints :: Number -> Number -> Number -> String

Pentagon (5 sides)

hexagonPoints :: Number -> Number -> Number -> String

Hexagon (6 sides) Flat-topped hexagon (first vertex at 12 o'clock)

octagonPoints :: Number -> Number -> Number -> String

Octagon (8 sides)

starPoints :: Number -> Number -> Number -> Number -> Int -> String

Generate points for a star shape

Arguments:

• cx: Center x coordinate
• cy: Center y coordinate
• outerRadius: Distance to outer points
• innerRadius: Distance to inner points (the "valleys")
• points: Number of points (5 = classic 5-pointed star)

Returns: SVG points string for the star

A star alternates between outer and inner radii. A 5-pointed star has 10 vertices (5 outer, 5 inner).

starPointsWithRotation :: Number -> Number -> Number -> Number -> Int -> Number -> String

Star with custom rotation

Arguments:

• cx, cy: Center coordinates
• outerRadius: Distance to outer points
• innerRadius: Distance to inner points
• numPoints: Number of points
• rotation: Rotation in radians (0 = first point at 12 o'clock)

pointsToString :: Array { x :: Number, y :: Number } -> String

Convert array of points to SVG points string