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# Created by https://www.toptal.com/developers/gitignore/api/csharp,visualstudio
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Get-ChildItem -Path $PSScriptroot -Recurse -Force -Include '.vs', '.git', 'bin', 'obj', '.idea', '*.Dotsettings', '*.Dotsettings.user' | ForEach-Object {
Remove-Item -Recurse -Force -LiteralPath $_.FullName >$null
}

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Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio Version 17
VisualStudioVersion = 17.4.33103.184
MinimumVisualStudioVersion = 10.0.40219.1
Project("{9A19103F-16F7-4668-BE54-9A1E7A4F7556}") = "SimpleDrawings", "SimpleDrawings\SimpleDrawings.csproj", "{7F30E637-BAFE-42FA-A173-F42B3902ED3B}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|Any CPU = Debug|Any CPU
Release|Any CPU = Release|Any CPU
EndGlobalSection
GlobalSection(ProjectConfigurationPlatforms) = postSolution
{7F30E637-BAFE-42FA-A173-F42B3902ED3B}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
{7F30E637-BAFE-42FA-A173-F42B3902ED3B}.Debug|Any CPU.Build.0 = Debug|Any CPU
{7F30E637-BAFE-42FA-A173-F42B3902ED3B}.Release|Any CPU.ActiveCfg = Release|Any CPU
{7F30E637-BAFE-42FA-A173-F42B3902ED3B}.Release|Any CPU.Build.0 = Release|Any CPU
EndGlobalSection
GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
EndGlobalSection
GlobalSection(ExtensibilityGlobals) = postSolution
SolutionGuid = {D322E690-379C-4802-8F7E-1AC6AD090D59}
EndGlobalSection
EndGlobal

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using System.Text;
using LeoTurtle;
using SimpleDrawings;
Console.OutputEncoding = Encoding.UTF8;
Console.WriteLine("*** Simple Drawing ***");
Beach.Prepare<Turtle>(WalkPath, 50, 50);
static void WalkPath(Turtle turtle)
{
TurtlePath.Walk(turtle);
}

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<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<OutputType>Exe</OutputType>
<TargetFramework>net8.0</TargetFramework>
<ImplicitUsings>enable</ImplicitUsings>
<Nullable>enable</Nullable>
<TreatWarningsAsErrors>true</TreatWarningsAsErrors>
</PropertyGroup>
<ItemGroup>
<PackageReference Include="HTLLeonding.Utility.Turtle" Version="1.1.0" />
</ItemGroup>
</Project>

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using LeoTurtle;
namespace SimpleDrawings;
public static class TurtlePath
{
/// <summary>
/// Executes the logic for adding turtle path steps.
/// Called automatically when the application starts.
/// </summary>
/// <param name="turtle">The <see cref="Turtle"/> instance to use</param>
public static void Walk(Turtle turtle)
{
EulerianPath(turtle);
Shapes(turtle);
}
/// <summary>
/// Draws a 'Haus des Nikolaus' as an Eulerian path
/// </summary>
/// <param name="turtle">The <see cref="Turtle"/> instance to use</param>
private static void EulerianPath(Turtle turtle)
{
const double Distance = 6.0D;
const double ShortDistance = 4.24D;
const double LongDistance = 8.49D;
// TODO
}
/// <summary>
/// Draws several shapes.
/// </summary>
/// <param name="turtle">The <see cref="Turtle"/> instance to use</param>
private static void Shapes(Turtle turtle)
{
// TODO
}
/// <summary>
/// Draws an octagon.
/// </summary>
/// <param name="turtle">The <see cref="Turtle"/> instance to use</param>
/// <param name="startX">Initial turtle x position when starting to draw</param>
/// <param name="startY">Initial turtle y position when starting to draw</param>
private static void DrawOctagon(Turtle turtle, int startX, int startY)
{
// TODO
}
/// <summary>
/// Draws a rhombus.
/// </summary>
/// <param name="turtle">The <see cref="Turtle"/> instance to use</param>
/// <param name="startX">Initial turtle x position when starting to draw</param>
/// <param name="startY">Initial turtle y position when starting to draw</param>
private static void DrawRhombus(Turtle turtle, int startX, int startY)
{
// TODO
}
/// <summary>
/// Draws two triangles, one offset off the other.
/// </summary>
/// <param name="turtle">The <see cref="Turtle"/> instance to use</param>
/// <param name="startX">Initial turtle x position when starting to draw</param>
/// <param name="startY">Initial turtle y position when starting to draw</param>
private static void DrawTriangle(Turtle turtle, int startX, int startY)
{
// TODO
}
/// <summary>
/// Draws a single triangle at the given position and with the given size.
/// Angels are fixed.
/// </summary>
/// <param name="turtle">The <see cref="Turtle"/> instance to use</param>
/// <param name="startX">Initial turtle x position when starting to draw</param>
/// <param name="startY">Initial turtle y position when starting to draw</param>
/// <param name="longSide">Length of the side c</param>
/// <param name="shortSide">Length of sides a & b</param>
private static void DrawTriangle(Turtle turtle, double startX, double startY, double longSide, double shortSide)
{
// TODO
}
/// <summary>
/// Converts an angel from degrees to radians.
/// </summary>
/// <param name="angleDegrees">Degrees to convert</param>
/// <returns>Radians value</returns>
private static double ConvertToRadians(double angleDegrees)
{
return angleDegrees * Math.PI / 180;
}
}

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:sectnums:
:nofooter:
:toc: left
:icons: font
= Exercise Rep.03 -- Simple Drawing
In this exercise you are going to work with the `Turtle` to draw a few simple shapes.
Remember what a turtle can do:
* Teleport to a specific location
* Turn with a certain angle (left or right)
* Move a certain distance drawing a line
WARNING: We always want a _general_ solution which would also work with other input values. So try to _not_ assume (hard code) values except for those listed below, calculate the rest.
== Eulerian Path
An https://en.wikipedia.org/wiki/Eulerian_path[Eulerian path] is a finite graph which visits each edge exactly once.
Put simply: you are going to draw a shape 'in one go' (= no 'lifting' of the pencil until done) while not drawing one line more than once.
So you may visit nodes (points) multiple time, but _not_ the edges (lines).
In German there is a little saying which is often taught to kids which, actually, is an Eulerian path: 'Das ist das Haus des Nikolaus' -- one line being drawn for each syllable.
image::pics/nikolaus.png[width=600]
There are actually multiple possible paths which lead to a valid result.
Your task is to use the `Turtle` to properly draw this shape.
Use the following measurements and choose a good starting position:
* normal length = `60`
* short length = `42.2`
* long length = `84.9`
== Shapes
Your next task is to draw some shapes:
image::pics/shapes.png[Shapes to draw]
Make sure to select starting positions which do not let the shapes overlap.
=== Octagon
An https://en.wikipedia.org/wiki/Octagon[octagon] has, unsurprisingly, 8 corners.
Use a side length of `40`.
=== Rhombus
A https://en.wikipedia.org/wiki/Rhombus[rhombus] has two pairs of equal angles and four sides of the same length.
Use a side length of `60` and one of the angles has to be `82°`.
=== Triangle
The last shape actually consists of two triangles: one inner and one outer.
image::pics/triangles.png[]
* Both are isosceles triangles
* The inner one has the following measurements:
** short side = `6.0`
** long side = `8.0`
* Angles ares:
** `48.19°`
** `83.621°`
* The _sides_ of the outer one are _offset_ by `1.5`
* Could some code reuse be possible here 🤔
TIP: In case you are bad at Maths: https://en.wikipedia.org/wiki/Law_of_sines[Law of sines] & https://en.wikipedia.org/wiki/Kite_(geometry)[Deltoids] could be useful