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modified from side drawing to point drawing

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MarcUs7i 2024-10-09 08:33:24 +02:00
parent 26d51b9423
commit 55e38d49f4
1 changed files with 88 additions and 8 deletions
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96
PinwheelTiling/PinwheelTilingPath.cs
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@ -1,4 +1,5 @@
using Avalonia.Controls.Selection;
using System.Reflection.Metadata;
using Avalonia.Controls.Selection;
using LeoTurtle;
namespace PinwheelTiling;
@ -23,27 +24,106 @@ public static class PinwheelTilingPath
const double sideA = 40.0D;
const double sideB = 80.0D;
double sideC = CalculateHyptonuse(sideA, sideB);
MakeTriangle(turtle, sideA, sideB, sideC);
_endPoint = new Point(_startPoint.X + sideB, _startPoint.Y + sideA);
Triangle triangle = MakeTriangle(_startPoint, _endPoint);
Triangle[] subdivision = GetSubdivision(triangle);
DrawSubdivision(turtle, subdivision);
}
// TODO - implement your algorithm
private static void MakeTriangle(SmartTurtle turtle, double sideA, double sideB, double sideC)
private static Triangle MakeTriangle(Point startingPoint,
Point endingPoint)
{
Point pointA = startingPoint;
Point pointB = endingPoint;
Point pointC = new Point(endingPoint.X, startingPoint.Y);
return new Triangle(pointA, pointB, pointC);
}
private static Triangle[] GetSubdivision(Triangle triangle)
{
double sideA = triangle.B.Y - triangle.C.Y;
double sideB = triangle.C.X - triangle.A.X;
double sideC = CalculateHyptonuse(sideA, sideB);
Point startingPoint = new Point(triangle.A.X, triangle.A.Y);
Point endingPoint = new Point(triangle.B.X, triangle.B.Y);
//calculate parent sides
double height = CalculateHeight(sideA, sideB, sideC);
double sideE = height / 2;
double sideF = CalculateHyptonuse(sideE, height);
_endPoint = new Point(_startPoint.X + sideB, _startPoint.Y + sideA);
//double sideF = CalculateHyptonuse(sideE, height);
//Draw it now
DrawTriangle(turtle, sideA, sideB, sideC, height, sideE, sideF);
//calculate additional sides that are part of the parent triangle
double sideB1 = sideB / 2;
double sideC1 = Math.Sqrt(Math.Pow(sideA, 2) - Math.Pow(height, 2));
//double sideC2;
double sideC3 = Math.Sqrt(Math.Pow(sideB1, 2) - Math.Pow(sideE, 2));
//calculate additional sides that are |not part/not important at all| for the parent triangle
double heightOfTriangle0 = CalculateHeight(sideC1, height, sideA);
double heightOfTriangle1 = CalculateHeight(sideE, height, sideB1);
double heightOfTriangle2 = CalculateHeight(sideE, sideC3, sideB1);
double sideB1SegmentOfTriangle1 = Math.Sqrt(Math.Pow(sideE, 2) - Math.Pow(heightOfTriangle1, 2));
double sideB1SegmentOfTriangle2 = Math.Sqrt(Math.Pow(sideE, 2) - Math.Pow(heightOfTriangle2, 2));
double heightOfAllExceptTriangle0 = CalculateHeight(height, sideC - sideC1, sideB);
double sideB1SegmentOfAllTrianglesExcept0
= Math.Sqrt(Math.Pow(sideC - sideC1, 2) - Math.Pow(heightOfAllExceptTriangle0, 2));
//create Points
Point pointA = startingPoint;
Point pointB = endingPoint;
Point pointC = new Point(endingPoint.X, startingPoint.Y);
Point pointD = new Point(startingPoint.X + sideB1SegmentOfAllTrianglesExcept0, startingPoint.Y + heightOfAllExceptTriangle0);
Point pointE = new Point(startingPoint.X + sideB1 - sideB1SegmentOfTriangle2, startingPoint.Y + heightOfTriangle2);
Point pointF = new Point(startingPoint.X + sideB1, startingPoint.Y);
Point pointH = new Point(startingPoint.X + sideB - sideB1SegmentOfTriangle1, startingPoint.Y + heightOfTriangle1);
Triangle triangle0 = new Triangle(pointC, pointB, pointD);
Triangle triangle1 = new Triangle(pointF, pointC, pointH);
Triangle triangle2 = new Triangle(pointA, pointF, pointE);
Triangle triangle3 = new Triangle(pointF, pointD, pointH);
Triangle triangle4 = new Triangle(pointD, pointF, pointE);
Triangle[] subdivisionTriangles = { triangle0, triangle1, triangle2, triangle3, triangle4 };
return subdivisionTriangles;
double CalculateHeight(double a, double b, double c)
{
//using Heron's formula
double s = (a + b + c) / 2;
return (2 / c) * Math.Sqrt(s * (s - a) * (s - b) * (s - c));
}
}
private static void DrawSubdivision(SmartTurtle turtle, Triangle[] subdivision)
{
foreach (var triangle in subdivision)
{
DrawSimpleTriangle(turtle, triangle);
}
}
private static void DrawSimpleTriangle(SmartTurtle turtle, Triangle triangle)
{
turtle.Teleport(triangle.A.X, triangle.A.Y);
double sideAB = DistanceBetweenPoints(triangle.A, triangle.B);
double sideBC = DistanceBetweenPoints(triangle.B, triangle.C);
double sideCA = DistanceBetweenPoints(triangle.C, triangle.A);
turtle.LookAt(triangle.B.X, triangle.B.Y);
turtle.MoveForward(sideAB);
turtle.LookAt(triangle.C.X, triangle.C.Y);
turtle.MoveForward(sideBC);
turtle.LookAt(triangle.A.X, triangle.A.Y);
turtle.MoveForward(sideCA);
}
private static void DrawTriangle(SmartTurtle turtle, double a, double b, double c, double h, double e, double f)
{
//Draw base triangle