-
Recent Books:
![[WPF 3d, Three-Dimensional Graphics with WPF and C#]](http://www.csharphelper.com/wpf3d_160_200.png)
![[The C# Helper Top 100]](http://www.csharphelper.com/top100_161_200.png)
![[Interview Puzzles Dissected]](http://www.csharphelper.com/interview_puzzles_161_200.jpg)
![[C# 24-Hour Trainer]](http://www.csharphelper.com/csharp24hr_2e_79x100.jpg)
![[Beginning Software Engineering]](http://www.csharphelper.com/sw_eng_tiny.png)
![[C# 5.0 Programmer's Reference]](http://www.csharphelper.com/csharp_prog_ref_80x100.png)
![[Essential Algorithms: A Practical Approach to Computer Algorithms]](http://www.csharphelper.com/essential_algs_81x100.jpg)
Recent Videos:
![[Mastering Events and Delegates in C#]](http://www.csharphelper.com/mastering_events_61_100.png)
![[Using Interfaces in C#]](http://www.csharphelper.com/using_interfaces_60_100.png)
![[Learning Data Structures and Algorithms]](http://www.csharphelper.com/algs_video_tiny.png)
![[Learning Visual Basic .NET]](http://www.csharphelper.com/vb_video_tiny.png)
-
Recent Posts
-
Recent Comments
- RodStephens on Find the shortest distance between a point and a line segment in C#
- Hafiz on Find the shortest distance between a point and a line segment in C#
- RodStephens on Find the shortest distance between a point and a line segment in C#
- Hafiz on Find the shortest distance between a point and a line segment in C#
- RodStephens on Warp images arbitrarily in C#, Part 1
Archives
- March 2019
- February 2019
- January 2019
- December 2018
- November 2018
- October 2018
- September 2018
- August 2018
- July 2018
- June 2018
- May 2018
- April 2018
- March 2018
- February 2018
- January 2018
- December 2017
- November 2017
- October 2017
- September 2017
- August 2017
- July 2017
- June 2017
- May 2017
- April 2017
- March 2017
- February 2017
- January 2017
- December 2016
- November 2016
- October 2016
- September 2016
- August 2016
- July 2016
- June 2016
- May 2016
- April 2016
- March 2016
- February 2016
- January 2016
- December 2015
- November 2015
- October 2015
- September 2015
- August 2015
- July 2015
- June 2015
- May 2015
- April 2015
- March 2015
- February 2015
- January 2015
- December 2014
- November 2014
- October 2014
- September 2014
- August 2014
- July 2014
- June 2014
- May 2014
- February 2014
- January 2014
- December 2013
- October 2013
- August 2013
- June 2013
- December 2012
- September 2012
- July 2012
- June 2012
- November 2011
- May 2011
- April 2011
- February 2011
- December 2010
Categories
- .NET
- 3D
- 3D graphics
- ADO.NET
- algorithms
- animation
- API
- arrays
- attributes
- audio
- books
- C#
- C# programming
- calculations
- challenges
- classes
- clipboard
- coding
- combinatorics
- console
- controls
- cryptography
- curve fitting
- database
- debugging
- dialogs
- directories
- Drag and Drop
- drawing
- drawings
- enums
- Event
- events
- example program
- Excel
- extension methods
- extensions
- files
- finance
- fonts
- formatting
- forms
- fractals
- ftp
- games
- GDI+
- generic
- geometry
- globalization
- graphics
- html
- IDE
- image processing
- inheritance
- interfaces
- internationalization
- internet
- interoperability
- LINQ
- lists
- localization
- mathematics
- memory
- menus
- MessageBox
- methods
- miscellany
- multimedia
- network
- Office
- OOP
- operators
- parsing
- performance
- phone
- PowerPoint
- printers
- printing
- productivity
- programs
- puzzles
- recursion
- reflection
- registry
- regular expressions
- serialization
- settings
- SQL
- stories
- strings
- syntax
- system
- threading
- tips
- tools
- transformations
- Uncategorized
- user interface
- variables
- VBA
- web
- Windows Forms programming
- WMI
- Word
- wpf
- XAML
- XML
Meta
Tag Archives: dodecahedron
Easily draw platonic solids in WPF and C#
This example basically combines and rearranges the techniques used by previous three-dimensional examples to make them easier to use. Its methods let you build platonic solids, geodesic spheres, and stellate spheres relatively easily. One real change in this example is … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged 3D, algorithms, C#, C# programming, cube, dodecahedron, example, example program, graphics, icosahedron, mathematics, octahedron, platonic solids, sphere, stellate sphere, tetrahedron, Windows Forms programming, WPF
Leave a comment
Platonic Solids Part 8: Icosahedron and dodecahedron
Understanding the Duals You may recall from the first article in this series (Platonic Solids Part 1: What are the Platonic solids?) that each platonic solid has a dual. You saw in the post Platonic Solids Part 5: Cube and … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged 3D, algorithms, C#, C# programming, cube, dodecahedron, duals, example, example program, graphics, hexahedron, icosahedron, mathematics, octahedron, polytopes, regular polytopes, regular solids, tetrahedron, Windows Forms programming, WPF
1 Comment
Platonic Solids Part 7: The dodecahedron
If you enjoyed calculating the coordinates of the vertices in an icosahedron, you’re in for a treat! Finding the vertices for a dodecahedron is even harder, largely because a dodecahedron has more vertices. An icosahedron has 20 triangular faces and … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged 3D, algorithms, C#, C# programming, cube, dodecahedron, example, example program, graphics, hexahedron, icosaahedron, mathematics, octahedron, polytopes, regular polytopes, regular solids, tetrahedron, Windows Forms programming, WPF
Leave a comment
Platonic Solids Part 6: The icosahedron
Finding the Icosahedron’s Vertices Figure 1 shows an icosahedron with its hidden surfaces removed. Figure 2 shows the same icosahedron with hidden surfaces drawn in dashed lines and its vertices labeled a through l. The icosahedron is centered at the … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged 3D, algorithms, C#, C# programming, cube, dodecahedron, example, example program, graphics, hexahedron, icosahedron, mathematics, octahedron, polytopes, regular polytopes, regular solids, tetrahedron, Windows Forms programming, WPF
12 Comments
Platonic Solids Part 5: Cube and octahedron
You may recall from the first article in this series (Platonic Solids Part 1: What are the Platonic solids?) that each platonic solid has a dual. The cube and octahedron are duals of each other. To make a dual from … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged 3D, algorithms, C#, C# programming, cube, dodecahedron, duals, example, example program, graphics, hexahedron, icosahedron, mathematics, octahedron, polytopes, regular polytopes, regular solids, tetrahedron, Windows Forms programming, WPF
Leave a comment
Platonic Solids Part 4: The octahedron
Finding the Octahedron’s Vertices A platonic octahedron has six triangular faces. Because the edges of the triangles all have the same length, the triangles are equilateral triangles. If an equilateral triangle has edges of length 1, then its height is … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged 3D, algorithms, C#, C# programming, cube, dodecahedron, example, example program, graphics, hexahedron, icosahedron, mathematics, octahedron, polytopes, regular polytopes, regular solids, tetrahedron, Windows Forms programming, WPF
Leave a comment
Platonic Solids Part 3: The cube
A platonic cube has six square faces. The cube’s symmetry makes it easy to find the coordinates of its vertices. For a cube with edge lengths of 1, the vertex coordinates are (±0.5, ±0.5, ±0.5) as shown in Figure 1. … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged 3D, algorithms, C#, C# programming, cube, dodecahedron, example, example program, graphics, hexahedron, icosahedron, mathematics, octahedron, polytopes, regular polytopes, regular solids, tetrahedron, Windows Forms programming, WPF
5 Comments
Platonic Solids Part 2: The tetrahedron
A tetrahedron has four faces that are equilateral triangles. In an equilateral triangle, the sides have the same lengths and they meet at 60 degree angles. Figure 1 shows a tetrahedron. Finding the Tetrahedron’s Vertices It is a trigonometric fact … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged 3D, algorithms, C#, C# programming, cube, dodecahedron, example, example program, graphics, hexahedron, icosahedron, mathematics, octahedron, polytopes, regular polytopes, regular solids, tetrahedron, Windows Forms programming, WPF
5 Comments
Platonic Solids Part 1: What are the Platonic solids?
This is the first in a series of posts about the Platonic solids. These posts will show how to find the corners of six Platonic solids: tetrahedron, cube (hexahedron), octahedron, dodecahedron, and icosahedron. Deriving these values requires only algebra and … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged 3D, algorithms, C#, C# programming, cube, dodecahedron, dual, dual solids, example, example program, geometry, graphics, hexahedron, icosahedron, mathematics, octahedron, platonic solids, polygon, polytope, polytopes, regular polygon, regular polytopes, regular solids, solids, tetrahedron, Windows Forms programming, WPF
2 Comments