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Tag Archives: platonic solids
Automatically set camera distance in WPF and C#
This example extends the post Build a geodesic sphere with WPF and C# to let you automatically set the camera distance to make the scene fill the viewport. Making a 3D scene fill the viewport nicely can be tricky. The … Continue reading
Posted in 3D graphics, algorithms, graphics, mathematics, wpf
Tagged 3D graphics, algorithms, C#, C# programming, camera distance, example, example program, geodesic, geodesic dome, geodesic sphere, graphics, icosahedrron, mathematics, platonic solids, triangles, Windows Forms programming, WPF
2 Comments
Make truncated dodecahedrons in WPF and C#
The post Make truncated tetrahedrons, octahedrons, and icosahedrons in WPF and C# explains how you can make various truncated platonic solids. The techniques described in an even earlier post still truncate the solids correctly. The only trick is figuring out … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged algorithms, archimedean solids, C#, C# programming, cube, example, example program, graphics, mathematics, platonic solids, truncated cube, Windows Forms programming, WPF
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Make truncated tetrahedrons, octahedrons, and icosahedrons in WPF and C#
The post Make a truncated cube in WPF and C# explained how to make truncated cubes. The key methods were MakeTruncatedSolidCornerMesh, which creates new faces created by removing corners, and MakeTruncatedSolidFaceMesh, which creates faces representing the original cube’s faces with … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged algorithms, archimedean solids, C#, C# programming, cube, example, example program, graphics, mathematics, platonic solids, truncated cube, Windows Forms programming, WPF
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Make a truncated cube in WPF and C#
Sorry but this is a pretty long post with a lot of details. If you don’t want to read about how the example program does its tricks, you can just read the first section and look at the pretty pictures. … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged algorithms, archimedean solids, C#, C# programming, cube, example, example program, graphics, mathematics, platonic solids, truncated cube, Windows Forms programming, WPF
1 Comment
Easily draw platonic solids in WPF and C#
This example basically combines and rearranges the techniques used by previous threedimensional 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
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Make a stellate geodesic sphere with WPF and C#
Building Stellate Geodesic Spheres A stellate geodesic sphere is one where each of the sphere’s faces is replaced by a pyramid shape. You can give the pyramids whatever height you like. For example, Figure 1 shows spheres where the pyramid … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged algorithms, C#, C# programming, example, example program, geodesic, geodesic dome, geodesic sphere, graphics, icosahedrron, mathematics, platonic solids, stellate, stellate geodesic, stellate geodesic dome, stellate geodesic sphere, triangles, Windows Forms programming, WPF
1 Comment
Build a geodesic sphere with WPF and C#
Building Geodesic Spheres Building a geodesic sphere is actually pretty easy after you know how to build an icosahedron. Start by building an icosahedron as described in the post Platonic Solids Part 6: The icosahedron. Each of the icosahedron’s faces … Continue reading
Posted in algorithms, graphics, mathematics, wpf
Tagged algorithms, C#, C# programming, example, example program, geodesic, geodesic dome, geodesic sphere, graphics, icosahedrron, mathematics, platonic solids, triangles, 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