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.editorconfig
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.editorconfig
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.gitignore
vendored
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.gitignore
vendored
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@ -0,0 +1,583 @@
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|||
# Created by https://www.toptal.com/developers/gitignore/api/csharp,visualstudio
|
||||
# Edit at https://www.toptal.com/developers/gitignore?templates=csharp,visualstudio
|
||||
|
||||
### Csharp ###
|
||||
## Ignore Visual Studio temporary files, build results, and
|
||||
## files generated by popular Visual Studio add-ons.
|
||||
##
|
||||
## Get latest from https://github.com/github/gitignore/blob/main/VisualStudio.gitignore
|
||||
|
||||
# User-specific files
|
||||
*.rsuser
|
||||
*.suo
|
||||
*.user
|
||||
*.userosscache
|
||||
*.sln.docstates
|
||||
|
||||
# User-specific files (MonoDevelop/Xamarin Studio)
|
||||
*.userprefs
|
||||
|
||||
# Mono auto generated files
|
||||
mono_crash.*
|
||||
|
||||
# Build results
|
||||
[Dd]ebug/
|
||||
[Dd]ebugPublic/
|
||||
[Rr]elease/
|
||||
[Rr]eleases/
|
||||
x64/
|
||||
x86/
|
||||
[Ww][Ii][Nn]32/
|
||||
[Aa][Rr][Mm]/
|
||||
[Aa][Rr][Mm]64/
|
||||
bld/
|
||||
[Bb]in/
|
||||
[Oo]bj/
|
||||
[Ll]og/
|
||||
[Ll]ogs/
|
||||
|
||||
# Visual Studio 2015/2017 cache/options directory
|
||||
.vs/
|
||||
# Uncomment if you have tasks that create the project's static files in wwwroot
|
||||
#wwwroot/
|
||||
|
||||
# Visual Studio 2017 auto generated files
|
||||
Generated\ Files/
|
||||
|
||||
# MSTest test Results
|
||||
[Tt]est[Rr]esult*/
|
||||
[Bb]uild[Ll]og.*
|
||||
|
||||
# NUnit
|
||||
*.VisualState.xml
|
||||
TestResult.xml
|
||||
nunit-*.xml
|
||||
|
||||
# Build Results of an ATL Project
|
||||
[Dd]ebugPS/
|
||||
[Rr]eleasePS/
|
||||
dlldata.c
|
||||
|
||||
# Benchmark Results
|
||||
BenchmarkDotNet.Artifacts/
|
||||
|
||||
# .NET Core
|
||||
project.lock.json
|
||||
project.fragment.lock.json
|
||||
artifacts/
|
||||
|
||||
# ASP.NET Scaffolding
|
||||
ScaffoldingReadMe.txt
|
||||
|
||||
# StyleCop
|
||||
StyleCopReport.xml
|
||||
|
||||
# Files built by Visual Studio
|
||||
*_i.c
|
||||
*_p.c
|
||||
*_h.h
|
||||
*.ilk
|
||||
*.meta
|
||||
*.obj
|
||||
*.iobj
|
||||
*.pch
|
||||
*.pdb
|
||||
*.ipdb
|
||||
*.pgc
|
||||
*.pgd
|
||||
*.rsp
|
||||
*.sbr
|
||||
*.tlb
|
||||
*.tli
|
||||
*.tlh
|
||||
*.tmp
|
||||
*.tmp_proj
|
||||
*_wpftmp.csproj
|
||||
*.log
|
||||
*.tlog
|
||||
*.vspscc
|
||||
*.vssscc
|
||||
.builds
|
||||
*.pidb
|
||||
*.svclog
|
||||
*.scc
|
||||
|
||||
# Chutzpah Test files
|
||||
_Chutzpah*
|
||||
|
||||
# Visual C++ cache files
|
||||
ipch/
|
||||
*.aps
|
||||
*.ncb
|
||||
*.opendb
|
||||
*.opensdf
|
||||
*.sdf
|
||||
*.cachefile
|
||||
*.VC.db
|
||||
*.VC.VC.opendb
|
||||
|
||||
# Visual Studio profiler
|
||||
*.psess
|
||||
*.vsp
|
||||
*.vspx
|
||||
*.sap
|
||||
|
||||
# Visual Studio Trace Files
|
||||
*.e2e
|
||||
|
||||
# TFS 2012 Local Workspace
|
||||
$tf/
|
||||
|
||||
# Guidance Automation Toolkit
|
||||
*.gpState
|
||||
|
||||
# ReSharper is a .NET coding add-in
|
||||
_ReSharper*/
|
||||
*.[Rr]e[Ss]harper
|
||||
*.DotSettings.user
|
||||
|
||||
# TeamCity is a build add-in
|
||||
_TeamCity*
|
||||
|
||||
# DotCover is a Code Coverage Tool
|
||||
*.dotCover
|
||||
|
||||
# AxoCover is a Code Coverage Tool
|
||||
.axoCover/*
|
||||
!.axoCover/settings.json
|
||||
|
||||
# Coverlet is a free, cross platform Code Coverage Tool
|
||||
coverage*.json
|
||||
coverage*.xml
|
||||
coverage*.info
|
||||
|
||||
# Visual Studio code coverage results
|
||||
*.coverage
|
||||
*.coveragexml
|
||||
|
||||
# NCrunch
|
||||
_NCrunch_*
|
||||
.*crunch*.local.xml
|
||||
nCrunchTemp_*
|
||||
|
||||
# MightyMoose
|
||||
*.mm.*
|
||||
AutoTest.Net/
|
||||
|
||||
# Web workbench (sass)
|
||||
.sass-cache/
|
||||
|
||||
# Installshield output folder
|
||||
[Ee]xpress/
|
||||
|
||||
# DocProject is a documentation generator add-in
|
||||
DocProject/buildhelp/
|
||||
DocProject/Help/*.HxT
|
||||
DocProject/Help/*.HxC
|
||||
DocProject/Help/*.hhc
|
||||
DocProject/Help/*.hhk
|
||||
DocProject/Help/*.hhp
|
||||
DocProject/Help/Html2
|
||||
DocProject/Help/html
|
||||
|
||||
# Click-Once directory
|
||||
publish/
|
||||
|
||||
# Publish Web Output
|
||||
*.[Pp]ublish.xml
|
||||
*.azurePubxml
|
||||
# Note: Comment the next line if you want to checkin your web deploy settings,
|
||||
# but database connection strings (with potential passwords) will be unencrypted
|
||||
*.pubxml
|
||||
*.publishproj
|
||||
|
||||
# Microsoft Azure Web App publish settings. Comment the next line if you want to
|
||||
# checkin your Azure Web App publish settings, but sensitive information contained
|
||||
# in these scripts will be unencrypted
|
||||
PublishScripts/
|
||||
|
||||
# NuGet Packages
|
||||
*.nupkg
|
||||
# NuGet Symbol Packages
|
||||
*.snupkg
|
||||
# The packages folder can be ignored because of Package Restore
|
||||
**/[Pp]ackages/*
|
||||
# except build/, which is used as an MSBuild target.
|
||||
!**/[Pp]ackages/build/
|
||||
# Uncomment if necessary however generally it will be regenerated when needed
|
||||
#!**/[Pp]ackages/repositories.config
|
||||
# NuGet v3's project.json files produces more ignorable files
|
||||
*.nuget.props
|
||||
*.nuget.targets
|
||||
|
||||
# Microsoft Azure Build Output
|
||||
csx/
|
||||
*.build.csdef
|
||||
|
||||
# Microsoft Azure Emulator
|
||||
ecf/
|
||||
rcf/
|
||||
|
||||
# Windows Store app package directories and files
|
||||
AppPackages/
|
||||
BundleArtifacts/
|
||||
Package.StoreAssociation.xml
|
||||
_pkginfo.txt
|
||||
*.appx
|
||||
*.appxbundle
|
||||
*.appxupload
|
||||
|
||||
# Visual Studio cache files
|
||||
# files ending in .cache can be ignored
|
||||
*.[Cc]ache
|
||||
# but keep track of directories ending in .cache
|
||||
!?*.[Cc]ache/
|
||||
|
||||
# Others
|
||||
ClientBin/
|
||||
~$*
|
||||
*~
|
||||
*.dbmdl
|
||||
*.dbproj.schemaview
|
||||
*.jfm
|
||||
*.pfx
|
||||
*.publishsettings
|
||||
orleans.codegen.cs
|
||||
|
||||
# Including strong name files can present a security risk
|
||||
# (https://github.com/github/gitignore/pull/2483#issue-259490424)
|
||||
#*.snk
|
||||
|
||||
# Since there are multiple workflows, uncomment next line to ignore bower_components
|
||||
# (https://github.com/github/gitignore/pull/1529#issuecomment-104372622)
|
||||
#bower_components/
|
||||
|
||||
# RIA/Silverlight projects
|
||||
Generated_Code/
|
||||
|
||||
# Backup & report files from converting an old project file
|
||||
# to a newer Visual Studio version. Backup files are not needed,
|
||||
# because we have git ;-)
|
||||
_UpgradeReport_Files/
|
||||
Backup*/
|
||||
UpgradeLog*.XML
|
||||
UpgradeLog*.htm
|
||||
ServiceFabricBackup/
|
||||
*.rptproj.bak
|
||||
|
||||
# SQL Server files
|
||||
*.mdf
|
||||
*.ldf
|
||||
*.ndf
|
||||
|
||||
# Business Intelligence projects
|
||||
*.rdl.data
|
||||
*.bim.layout
|
||||
*.bim_*.settings
|
||||
*.rptproj.rsuser
|
||||
*- [Bb]ackup.rdl
|
||||
*- [Bb]ackup ([0-9]).rdl
|
||||
*- [Bb]ackup ([0-9][0-9]).rdl
|
||||
|
||||
# Microsoft Fakes
|
||||
FakesAssemblies/
|
||||
|
||||
# GhostDoc plugin setting file
|
||||
*.GhostDoc.xml
|
||||
|
||||
# Node.js Tools for Visual Studio
|
||||
.ntvs_analysis.dat
|
||||
node_modules/
|
||||
|
||||
# Visual Studio 6 build log
|
||||
*.plg
|
||||
|
||||
# Visual Studio 6 workspace options file
|
||||
*.opt
|
||||
|
||||
# Visual Studio 6 auto-generated workspace file (contains which files were open etc.)
|
||||
*.vbw
|
||||
|
||||
# Visual Studio 6 auto-generated project file (contains which files were open etc.)
|
||||
*.vbp
|
||||
|
||||
# Visual Studio 6 workspace and project file (working project files containing files to include in project)
|
||||
*.dsw
|
||||
*.dsp
|
||||
|
||||
# Visual Studio 6 technical files
|
||||
|
||||
# Visual Studio LightSwitch build output
|
||||
**/*.HTMLClient/GeneratedArtifacts
|
||||
**/*.DesktopClient/GeneratedArtifacts
|
||||
**/*.DesktopClient/ModelManifest.xml
|
||||
**/*.Server/GeneratedArtifacts
|
||||
**/*.Server/ModelManifest.xml
|
||||
_Pvt_Extensions
|
||||
|
||||
# Paket dependency manager
|
||||
.paket/paket.exe
|
||||
paket-files/
|
||||
|
||||
# FAKE - F# Make
|
||||
.fake/
|
||||
|
||||
# CodeRush personal settings
|
||||
.cr/personal
|
||||
|
||||
# Python Tools for Visual Studio (PTVS)
|
||||
__pycache__/
|
||||
*.pyc
|
||||
|
||||
# Cake - Uncomment if you are using it
|
||||
# tools/**
|
||||
# !tools/packages.config
|
||||
|
||||
# Tabs Studio
|
||||
*.tss
|
||||
|
||||
# Telerik's JustMock configuration file
|
||||
*.jmconfig
|
||||
|
||||
# BizTalk build output
|
||||
*.btp.cs
|
||||
*.btm.cs
|
||||
*.odx.cs
|
||||
*.xsd.cs
|
||||
|
||||
# OpenCover UI analysis results
|
||||
OpenCover/
|
||||
|
||||
# Azure Stream Analytics local run output
|
||||
ASALocalRun/
|
||||
|
||||
# MSBuild Binary and Structured Log
|
||||
*.binlog
|
||||
|
||||
# NVidia Nsight GPU debugger configuration file
|
||||
*.nvuser
|
||||
|
||||
# MFractors (Xamarin productivity tool) working folder
|
||||
.mfractor/
|
||||
|
||||
# Local History for Visual Studio
|
||||
.localhistory/
|
||||
|
||||
# Visual Studio History (VSHistory) files
|
||||
.vshistory/
|
||||
|
||||
# BeatPulse healthcheck temp database
|
||||
healthchecksdb
|
||||
|
||||
# Backup folder for Package Reference Convert tool in Visual Studio 2017
|
||||
MigrationBackup/
|
||||
|
||||
# Ionide (cross platform F# VS Code tools) working folder
|
||||
.ionide/
|
||||
|
||||
# Fody - auto-generated XML schema
|
||||
FodyWeavers.xsd
|
||||
|
||||
# VS Code files for those working on multiple tools
|
||||
.vscode/*
|
||||
!.vscode/settings.json
|
||||
!.vscode/tasks.json
|
||||
!.vscode/launch.json
|
||||
!.vscode/extensions.json
|
||||
*.code-workspace
|
||||
|
||||
# Local History for Visual Studio Code
|
||||
.history/
|
||||
|
||||
# Windows Installer files from build outputs
|
||||
*.cab
|
||||
*.msi
|
||||
*.msix
|
||||
*.msm
|
||||
*.msp
|
||||
|
||||
# JetBrains Rider
|
||||
*.sln.iml
|
||||
|
||||
### VisualStudio ###
|
||||
|
||||
# User-specific files
|
||||
|
||||
# User-specific files (MonoDevelop/Xamarin Studio)
|
||||
|
||||
# Mono auto generated files
|
||||
|
||||
# Build results
|
||||
|
||||
# Visual Studio 2015/2017 cache/options directory
|
||||
# Uncomment if you have tasks that create the project's static files in wwwroot
|
||||
|
||||
# Visual Studio 2017 auto generated files
|
||||
|
||||
# MSTest test Results
|
||||
|
||||
# NUnit
|
||||
|
||||
# Build Results of an ATL Project
|
||||
|
||||
# Benchmark Results
|
||||
|
||||
# .NET Core
|
||||
|
||||
# ASP.NET Scaffolding
|
||||
|
||||
# StyleCop
|
||||
|
||||
# Files built by Visual Studio
|
||||
|
||||
# Chutzpah Test files
|
||||
|
||||
# Visual C++ cache files
|
||||
|
||||
# Visual Studio profiler
|
||||
|
||||
# Visual Studio Trace Files
|
||||
|
||||
# TFS 2012 Local Workspace
|
||||
|
||||
# Guidance Automation Toolkit
|
||||
|
||||
# ReSharper is a .NET coding add-in
|
||||
|
||||
# TeamCity is a build add-in
|
||||
|
||||
# DotCover is a Code Coverage Tool
|
||||
|
||||
# AxoCover is a Code Coverage Tool
|
||||
|
||||
# Coverlet is a free, cross platform Code Coverage Tool
|
||||
|
||||
# Visual Studio code coverage results
|
||||
|
||||
# NCrunch
|
||||
|
||||
# MightyMoose
|
||||
|
||||
# Web workbench (sass)
|
||||
|
||||
# Installshield output folder
|
||||
|
||||
# DocProject is a documentation generator add-in
|
||||
|
||||
# Click-Once directory
|
||||
|
||||
# Publish Web Output
|
||||
# Note: Comment the next line if you want to checkin your web deploy settings,
|
||||
# but database connection strings (with potential passwords) will be unencrypted
|
||||
|
||||
# Microsoft Azure Web App publish settings. Comment the next line if you want to
|
||||
# checkin your Azure Web App publish settings, but sensitive information contained
|
||||
# in these scripts will be unencrypted
|
||||
|
||||
# NuGet Packages
|
||||
# NuGet Symbol Packages
|
||||
# The packages folder can be ignored because of Package Restore
|
||||
# except build/, which is used as an MSBuild target.
|
||||
# Uncomment if necessary however generally it will be regenerated when needed
|
||||
# NuGet v3's project.json files produces more ignorable files
|
||||
|
||||
# Microsoft Azure Build Output
|
||||
|
||||
# Microsoft Azure Emulator
|
||||
|
||||
# Windows Store app package directories and files
|
||||
|
||||
# Visual Studio cache files
|
||||
# files ending in .cache can be ignored
|
||||
# but keep track of directories ending in .cache
|
||||
|
||||
# Others
|
||||
|
||||
# Including strong name files can present a security risk
|
||||
# (https://github.com/github/gitignore/pull/2483#issue-259490424)
|
||||
|
||||
# Since there are multiple workflows, uncomment next line to ignore bower_components
|
||||
# (https://github.com/github/gitignore/pull/1529#issuecomment-104372622)
|
||||
|
||||
# RIA/Silverlight projects
|
||||
|
||||
# Backup & report files from converting an old project file
|
||||
# to a newer Visual Studio version. Backup files are not needed,
|
||||
# because we have git ;-)
|
||||
|
||||
# SQL Server files
|
||||
|
||||
# Business Intelligence projects
|
||||
|
||||
# Microsoft Fakes
|
||||
|
||||
# GhostDoc plugin setting file
|
||||
|
||||
# Node.js Tools for Visual Studio
|
||||
|
||||
# Visual Studio 6 build log
|
||||
|
||||
# Visual Studio 6 workspace options file
|
||||
|
||||
# Visual Studio 6 auto-generated workspace file (contains which files were open etc.)
|
||||
|
||||
# Visual Studio 6 auto-generated project file (contains which files were open etc.)
|
||||
|
||||
# Visual Studio 6 workspace and project file (working project files containing files to include in project)
|
||||
|
||||
# Visual Studio 6 technical files
|
||||
|
||||
# Visual Studio LightSwitch build output
|
||||
|
||||
# Paket dependency manager
|
||||
|
||||
# FAKE - F# Make
|
||||
|
||||
# CodeRush personal settings
|
||||
|
||||
# Python Tools for Visual Studio (PTVS)
|
||||
|
||||
# Cake - Uncomment if you are using it
|
||||
# tools/**
|
||||
# !tools/packages.config
|
||||
|
||||
# Tabs Studio
|
||||
|
||||
# Telerik's JustMock configuration file
|
||||
|
||||
# BizTalk build output
|
||||
|
||||
# OpenCover UI analysis results
|
||||
|
||||
# Azure Stream Analytics local run output
|
||||
|
||||
# MSBuild Binary and Structured Log
|
||||
|
||||
# NVidia Nsight GPU debugger configuration file
|
||||
|
||||
# MFractors (Xamarin productivity tool) working folder
|
||||
|
||||
# Local History for Visual Studio
|
||||
|
||||
# Visual Studio History (VSHistory) files
|
||||
|
||||
# BeatPulse healthcheck temp database
|
||||
|
||||
# Backup folder for Package Reference Convert tool in Visual Studio 2017
|
||||
|
||||
# Ionide (cross platform F# VS Code tools) working folder
|
||||
|
||||
# Fody - auto-generated XML schema
|
||||
|
||||
# VS Code files for those working on multiple tools
|
||||
|
||||
# Local History for Visual Studio Code
|
||||
|
||||
# Windows Installer files from build outputs
|
||||
|
||||
# JetBrains Rider
|
||||
|
||||
### VisualStudio Patch ###
|
||||
# Additional files built by Visual Studio
|
||||
|
||||
# End of https://www.toptal.com/developers/gitignore/api/csharp,visualstudio
|
||||
3
CleanSolutionDir.ps1
Normal file
3
CleanSolutionDir.ps1
Normal file
|
|
@ -0,0 +1,3 @@
|
|||
Get-ChildItem -Path $PSScriptroot -Recurse -Force -Include '.vs', '.git', 'bin', 'obj', '.idea', '*.Dotsettings', '*.Dotsettings.user' | ForEach-Object {
|
||||
Remove-Item -Recurse -Force -LiteralPath $_.FullName >$null
|
||||
}
|
||||
25
PinwheelTiling.sln
Normal file
25
PinwheelTiling.sln
Normal file
|
|
@ -0,0 +1,25 @@
|
|||
|
||||
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}") = "PinwheelTiling", "PinwheelTiling\PinwheelTiling.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
|
||||
4
PinwheelTiling/Model.cs
Normal file
4
PinwheelTiling/Model.cs
Normal file
|
|
@ -0,0 +1,4 @@
|
|||
namespace PinwheelTiling;
|
||||
|
||||
public record Point(double X, double Y);
|
||||
public record Triangle(Point A, Point B, Point C);
|
||||
15
PinwheelTiling/PinwheelTiling.csproj
Normal file
15
PinwheelTiling/PinwheelTiling.csproj
Normal file
|
|
@ -0,0 +1,15 @@
|
|||
<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>
|
||||
45
PinwheelTiling/PinwheelTilingPath.cs
Normal file
45
PinwheelTiling/PinwheelTilingPath.cs
Normal file
|
|
@ -0,0 +1,45 @@
|
|||
using LeoTurtle;
|
||||
|
||||
namespace PinwheelTiling;
|
||||
|
||||
public static class PinwheelTilingPath
|
||||
{
|
||||
private const double Alpha = 26.57D;
|
||||
private const double Beta = 90D - Alpha;
|
||||
private const double Gamma = 90D;
|
||||
|
||||
/// <summary>
|
||||
/// Executes the logic for adding turtle path steps.
|
||||
/// Called automatically when application starts.
|
||||
/// </summary>
|
||||
/// <param name="turtle">The <see cref="SmartTurtle"/> instance to use</param>
|
||||
public static void Walk(SmartTurtle turtle)
|
||||
{
|
||||
var initialTriangle = new Triangle(new Point(2.5D, 10.0D), new Point(82.5D, 50.0D), new Point(82.5D, 10.0D));
|
||||
|
||||
// TODO - call your drawing/subdivision method
|
||||
}
|
||||
|
||||
// TODO - implement your algorithm
|
||||
|
||||
/// <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 / 180D;
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Calculates the distance between two points.
|
||||
/// </summary>
|
||||
/// <param name="a">First point</param>
|
||||
/// <param name="b">Second point</param>
|
||||
/// <returns>Distance between the two points</returns>
|
||||
private static double DistanceBetweenPoints(Point a, Point b)
|
||||
{
|
||||
return Math.Sqrt(Math.Pow(b.X - a.X, 2D) + Math.Pow(b.Y - a.Y, 2D));
|
||||
}
|
||||
}
|
||||
16
PinwheelTiling/Program.cs
Normal file
16
PinwheelTiling/Program.cs
Normal file
|
|
@ -0,0 +1,16 @@
|
|||
using System.Text;
|
||||
using LeoTurtle;
|
||||
using PinwheelTiling;
|
||||
|
||||
Console.OutputEncoding = Encoding.UTF8;
|
||||
|
||||
Console.WriteLine("*** Pinwheel Tiling ***");
|
||||
|
||||
Beach.Prepare<SmartTurtle>(WalkPath, 90, 60);
|
||||
|
||||
static void WalkPath(SmartTurtle turtle)
|
||||
{
|
||||
PinwheelTilingPath.Walk(turtle);
|
||||
|
||||
Console.WriteLine($"The turtle walked {turtle.TravelDistanceMeters:F2} meters.");
|
||||
}
|
||||
BIN
pics/basic_triangle.png
Normal file
BIN
pics/basic_triangle.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 18 KiB |
BIN
pics/level_1.png
Normal file
BIN
pics/level_1.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 8.2 KiB |
BIN
pics/level_2.png
Normal file
BIN
pics/level_2.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 16 KiB |
BIN
pics/level_5.png
Normal file
BIN
pics/level_5.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 152 KiB |
BIN
pics/triangle_labels.png
Normal file
BIN
pics/triangle_labels.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 86 KiB |
84
readme.adoc
Normal file
84
readme.adoc
Normal file
|
|
@ -0,0 +1,84 @@
|
|||
:sectnums:
|
||||
:nofooter:
|
||||
:toc: left
|
||||
:icons: font
|
||||
:data-uri:
|
||||
|
||||
:stem: latexmath
|
||||
|
||||
= Rep.04 -- Pinwheel Tiling
|
||||
|
||||
https://en.wikipedia.org/wiki/Pinwheel_tiling[Pinwheel tiling] -- defined by Charles Radin & John Conway -- leads to a _non-periodic_ tiling pattern, so the tiles will appear in infinitely many orientations.
|
||||
|
||||
The idea is to have a triangle with side lengths stem:[1], stem:[2] & stem:[\sqrt{5}]:
|
||||
|
||||
image::pics/basic_triangle.png[width=200]
|
||||
|
||||
Such a triangle can then be divided into five isometric copies by the delation of factor stem:[\frac{1}{\sqrt{5}}].
|
||||
Or, put simply, five similar (same angles and relations) triangles can be inscribed.
|
||||
This works for all triangles with a right angle and a stem:[1:2] relation.
|
||||
|
||||
You are going to implement an algorithm which can draw such a pinwheel tiling with arbitrarily sized triangles and subdivision steps.
|
||||
|
||||
In case you have forgotten, those are the labels of points, sides & angles of a triangle, as used below:
|
||||
|
||||
image::pics/triangle_labels.png[width=400]
|
||||
|
||||
== The improved `SmartTurtle`
|
||||
|
||||
To aid you on your quest (😏) our good old `Turtle` sent you their smarter cousin `SmartTurtle`!
|
||||
|
||||
NOTE: Thanks to the help of `SmartTurtle` this exercise is actually pretty easy...
|
||||
|
||||
This turtle works basically like the old one, but has learnt two new tricks:
|
||||
|
||||
. It can now tell you where on the canvas it is currently sitting
|
||||
** `GetPosition`
|
||||
. It is now able to _look_ at a specifc point, thus automatically determining the turning angle for you
|
||||
** `LookAt`
|
||||
. Finally, it also remembers how far it has traveled
|
||||
** `TravelDistanceMeters`
|
||||
** Only `Move` counts, `Teleport` is 'free'
|
||||
|
||||
== Task
|
||||
|
||||
The initial triangle has those dimensions:
|
||||
|
||||
* stem:[a = 400]
|
||||
* stem:[b = 800]
|
||||
* stem:[c = \sqrt{a^2 + b^2}]
|
||||
|
||||
Implement an algorithm, using `SmartTurtle`, to draw this triangle together with its subdivisions.
|
||||
|
||||
CAUTION: Don't use more movements than necessary, especially try to not walk the same path twice -- the `SmartTurtle` knows how far you had it walk and this distance will be displayed for all to see 😉
|
||||
|
||||
=== First subdivision
|
||||
|
||||
First attempt one subdivision => splitting the initial triangle into 5 similar ones covering the same area with the same dimensions.
|
||||
This should look like this:
|
||||
|
||||
image::pics/level_1.png[]
|
||||
|
||||
TIP: If you implement the subdivision movements of the turtle wisely, there is no need to draw the 'outer' triangle since it is fully composed of the inner ones
|
||||
|
||||
=== `n` subdivisions
|
||||
|
||||
Since you have the first subdivision completed it is now time to subdivide the five triangles you just created.
|
||||
And then subdivide those yet again!
|
||||
|
||||
image::pics/level_2.png[]
|
||||
|
||||
I'm sure you already guessed it, what we need here is a _recursive_ algorithm 😁
|
||||
|
||||
Adapt your previous program in such a way, that it will accept a _recursion depth_ -- how many subdivisions there will be, at least 1.
|
||||
This, of course, means that the method(s) have to keep track how 'deep' they already are to know when to stop.
|
||||
|
||||
It also means, that the subdivision algorithm has to be _smart_, because the inner triangles will be sometimes be upside down -- in fact they will be roated in (theoretically, limited by recursion depth) an _infinite_ number of directions, that's what makes pinwheel tiling so awesome.
|
||||
|
||||
Five subdivisions would look like this:
|
||||
|
||||
image::pics/level_5.png[]
|
||||
|
||||
*Achieve this result, using a recursive algortihm and having the turtle travel as short a distance as possible!*
|
||||
|
||||
TIP: More than 5 levels of recursion will take your PC _quite_ some time to process 😉
|
||||
Loading…
Add table
Add a link
Reference in a new issue