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Category Archives: drawing
Tile a board with randomly colored trominoes in C#
The post Tile a board with colored trominoes in C#explains how to color a tromino filing so no two adjacent trominoes share the same color. That example basically tried every possible color for each of the trominoes until it found … Continue reading
Posted in algorithms, drawing, graphics, mathematics, recursion
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Tile a board with colored trominoes in C#
The post Tile a board with trominoes in C# explains how to tile a board with a missing square with trominoes. This post shows how to color the trominoes so no two adjacent ones share the same color. The four-color … Continue reading
Posted in algorithms, drawing, graphics, mathematics, recursion
Tagged algorithms, C#, C# programming, colored trominoes, drawing, example, example program, graphics, induction, inductive proofs, mathematics, polyomino, polyominoes, proof, proofs, recursion, tromino, trominoes, Windows Forms programming
1 Comment
Tile a board with trominoes in C#
Trominoes are polyominoes of order three. That means they are polygons made up of three equal sized squares joined at their edges. There only are two kinds of trominoes: three squares joined in a line and three squares joined in … Continue reading
Posted in algorithms, drawing, graphics, mathematics, recursion
Tagged algorithms, C#, C# programming, drawing, example, example program, graphics, induction, inductive proofs, mathematics, polyomino, polyominoes, proof, proofs, recursion, tromino, trominoes, Windows Forms programming
1 Comment
Draw a randomly colored Sierpinski pentagon in C#
The example Draw a colored Sierpinski pentagon in C# lets the user click on the parts of a Sierpinski pentagon to change their colors. Eddie Bole thought it would be interesting to color the larger pentagons in addition to the … Continue reading
Posted in drawing, fractals, graphics, recursion
Tagged C#, C# programming, drawing, example, example program, fractals, graphics, recursion, recursively, Sierpinski pentagon, Windows Forms programming
4 Comments
Draw a colored Sierpinski pentagon in C#
The example Draw a Sierpinski pentagon in C# shows how to draw a Sierpinski pentagon. This example modifies that one so the user can click on pentagons to change their colors. To do that, this program takes a very different … Continue reading
Posted in drawing, fractals, graphics, recursion
Tagged C#, C# programming, drawing, example, example program, fractals, graphics, recursion, recursively, Sierpinski pentagon, Windows Forms programming
6 Comments
Use label controls to draw a simple labeled histogram in C#
The example Draw a simple labeled histogram in C# draws a labeled histogram on a PictureBox in that control’s Paint event handler. It does a fair amount of work to ensure that the histogram’s bars are in their proper positions … Continue reading
Draw a simple labeled histogram in C#
The example Make a simple histogram in C# shows how to draw a simple histogram on a PictureBox. This example adds Label controls above the histogram’s bars. When the program loads, it uses the following code to generate some random … Continue reading
Graph points in WPF and C#
This example extends the previous example Draw a graph in WPF and C# to draw ellipses marking the data sets’ points. See that example for an explanation of how most of the program works. The following code shows how the … Continue reading
Posted in algorithms, drawing, geometry, graphics, mathematics, wpf
Tagged algorithms, C#, C# programming, draw graph, draw graph in WPF, drawing, example, example program, geometry, GeometryGroup, graph, graph points, graphics, LineGeometry, mathematics, Polyline, Windows Forms programming, WPF, XAML
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Draw rose curves in C#
A rose curve is a curve generated by the polar coordinate equation r = cos(n / d * θ). Here n and d should be relatively prime, so the fraction n / d cannot be simplified. When you click the … Continue reading
Posted in algorithms, drawing, graphics, mathematics
Tagged algorithms, C#, C# programming, drawing, example, example program, graphics. mathematics, rose curves, Windows Forms programming
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Draw the spiral of Theodorus in C#
The spiral of Theodorus (which is also called the square root spiral, Einstein spiral, and Pythagorean spiral) was first devised by the Greek mathematician Theodorus of Cyrene during the 5th century BC. The spiral consists of a sequence of right … Continue reading