Results for "Author: dolac"

This is lesson 4 in my fractal quest. This one is intended to explain some concepts related with fractals like recursion, backtracking and other. Code is heavily commented, I have uploaded also 3 simpler examples along these code (Fibonacci) and I also wrote a large tutorial that will explain the background of my source code. First, you shoud read a pdf tutorial, second view simpler examples until you fully understand them and then at last - Dust Fractal source code. The Code itself can generate 8 different graphics. So, I know this lesson is not very easy to understand but try to have fun with it, I really tried to make it as simple as I can.

Archimedean spiral - the simplest fractal (lesson 1) Archimedean spiral is applied in the construction of various tools such as slotting cutters, in centrifugal pumps, fans, bumper rail ... It is interesting how Archimedes explained the rules of formation of his spiral. The ruler is fixed at some point - let's call it point A. Suppose that when the ruler starts to rotate around point A, an ant start to walk away from point A. The ant would describe the "real" geometric spiral which is obtained by combining two moving trends - rotation around a point and translation along the ruler. And fractal - the principal determinant of the fractal self-similarity. It could be said to consist of copies of itself in different scales. Actually it is a bit more complicated but for this example it will do fine enough. I have not seen simpler example of fractal anywhere.

Brownian line is another very simple fractal - lesson 2. This presentation shows the concept of self-similarity on different scales. Code is focused on iterative algorithm and Avi animation (not mine) provide the visual effect of the zoom. Zoom is exluded to preserve simplicity. It is important to get understanding of nature those fractals, algoriths and other characteristics of fractals as later examples will get more complicated. Submission is 550k because of avi animation file.

Fractal clouds are lesson 3. With this lesson we enter a realm of fractal graphics. Sometimes it is just amazing how simple it is to reveal beaty that is hidden is simple math with a little help of a computer. Fractal clouds (or dust) start forming from a single user defined point P0(A,B,X,Y), and by numerous repeating of some transformation we get some cool pics. Because of the fact that we can follow the trail that start point is leaving behined (P0-start, P1-1st iteration, P2 2nd, .... Px - wich are dots on picture) this pics are also called orbitals (trajectories) of dynamic system. To get a rude estimation of what A, B, X and Y are good to use - I prepared you Clouds.xls. Sheets 1 to 6 shows computation sequence series of here given pattern examples 1 to 6. X() sheets show graphic look of computation sequence of poorly picked parameters (with some comment why). Submission is 575k because of xls file. Have fun with this code and share parameters if you get some cool pic of your own.

Shows a 1D wave pool made of single incident and single reflected sea wave (linear theory). Shows surface elevation of sea surface and animate the motion of particles from surface indept.Surface elevetion is recorded at red dots positions (level gauges).

This is lesson 4 in my fractal quest. This one is intended to explain some concepts related with fractals like recursion, backtracking and other. Code is heavily commented, I have uploaded also 3 simpler examples along these code (Fibonacci) and I also wrote a large tutorial that will explain the background of my source code. First, you shoud read a pdf tutorial, second view simpler examples until you fully understand them and then at last - Dust Fractal source code. The Code itself can generate 8 different graphics. So, I know this lesson is not very easy to understand but try to have fun with it, I really tried to make it as simple as I can.

Archimedean spiral - the simplest fractal (lesson 1) Archimedean spiral is applied in the construction of various tools such as slotting cutters, in centrifugal pumps, fans, bumper rail ... It is interesting how Archimedes explained the rules of formation of his spiral. The ruler is fixed at some point - let's call it point A. Suppose that when the ruler starts to rotate around point A, an ant start to walk away from point A. The ant would describe the "real" geometric spiral which is obtained by combining two moving trends - rotation around a point and translation along the ruler. And fractal - the principal determinant of the fractal self-similarity. It could be said to consist of copies of itself in different scales. Actually it is a bit more complicated but for this example it will do fine enough. I have not seen simpler example of fractal anywhere.

Brownian line is another very simple fractal - lesson 2. This presentation shows the concept of self-similarity on different scales. Code is focused on iterative algorithm and Avi animation (not mine) provide the visual effect of the zoom. Zoom is exluded to preserve simplicity. It is important to get understanding of nature those fractals, algoriths and other characteristics of fractals as later examples will get more complicated. Submission is 550k because of avi animation file.

Fractal clouds are lesson 3. With this lesson we enter a realm of fractal graphics. Sometimes it is just amazing how simple it is to reveal beaty that is hidden is simple math with a little help of a computer. Fractal clouds (or dust) start forming from a single user defined point P0(A,B,X,Y), and by numerous repeating of some transformation we get some cool pics. Because of the fact that we can follow the trail that start point is leaving behined (P0-start, P1-1st iteration, P2 2nd, .... Px - wich are dots on picture) this pics are also called orbitals (trajectories) of dynamic system. To get a rude estimation of what A, B, X and Y are good to use - I prepared you Clouds.xls. Sheets 1 to 6 shows computation sequence series of here given pattern examples 1 to 6. X() sheets show graphic look of computation sequence of poorly picked parameters (with some comment why). Submission is 575k because of xls file. Have fun with this code and share parameters if you get some cool pic of your own.

Shows a 1D wave pool made of single incident and single reflected sea wave (linear theory). Shows surface elevation of sea surface and animate the motion of particles from surface indept.Surface elevetion is recorded at red dots positions (level gauges).

This is lesson 4 in my fractal quest. This one is intended to explain some concepts related with fractals like recursion, backtracking and other. Code is heavily commented, I have uploaded also 3 simpler examples along these code (Fibonacci) and I also wrote a large tutorial that will explain the background of my source code. First, you shoud read a pdf tutorial, second view simpler examples until you fully understand them and then at last - Dust Fractal source code. The Code itself can generate 8 different graphics. So, I know this lesson is not very easy to understand but try to have fun with it, I really tried to make it as simple as I can.

Archimedean spiral - the simplest fractal (lesson 1) Archimedean spiral is applied in the construction of various tools such as slotting cutters, in centrifugal pumps, fans, bumper rail ... It is interesting how Archimedes explained the rules of formation of his spiral. The ruler is fixed at some point - let's call it point A. Suppose that when the ruler starts to rotate around point A, an ant start to walk away from point A. The ant would describe the "real" geometric spiral which is obtained by combining two moving trends - rotation around a point and translation along the ruler. And fractal - the principal determinant of the fractal self-similarity. It could be said to consist of copies of itself in different scales. Actually it is a bit more complicated but for this example it will do fine enough. I have not seen simpler example of fractal anywhere.

Brownian line is another very simple fractal - lesson 2. This presentation shows the concept of self-similarity on different scales. Code is focused on iterative algorithm and Avi animation (not mine) provide the visual effect of the zoom. Zoom is exluded to preserve simplicity. It is important to get understanding of nature those fractals, algoriths and other characteristics of fractals as later examples will get more complicated. Submission is 550k because of avi animation file.

Fractal clouds are lesson 3. With this lesson we enter a realm of fractal graphics. Sometimes it is just amazing how simple it is to reveal beaty that is hidden is simple math with a little help of a computer. Fractal clouds (or dust) start forming from a single user defined point P0(A,B,X,Y), and by numerous repeating of some transformation we get some cool pics. Because of the fact that we can follow the trail that start point is leaving behined (P0-start, P1-1st iteration, P2 2nd, .... Px - wich are dots on picture) this pics are also called orbitals (trajectories) of dynamic system. To get a rude estimation of what A, B, X and Y are good to use - I prepared you Clouds.xls. Sheets 1 to 6 shows computation sequence series of here given pattern examples 1 to 6. X() sheets show graphic look of computation sequence of poorly picked parameters (with some comment why). Submission is 575k because of xls file. Have fun with this code and share parameters if you get some cool pic of your own.

Shows a 1D wave pool made of single incident and single reflected sea wave (linear theory). Shows surface elevation of sea surface and animate the motion of particles from surface indept.Surface elevetion is recorded at red dots positions (level gauges).

This is lesson 4 in my fractal quest. This one is intended to explain some concepts related with fractals like recursion, backtracking and other. Code is heavily commented, I have uploaded also 3 simpler examples along these code (Fibonacci) and I also wrote a large tutorial that will explain the background of my source code. First, you shoud read a pdf tutorial, second view simpler examples until you fully understand them and then at last - Dust Fractal source code. The Code itself can generate 8 different graphics. So, I know this lesson is not very easy to understand but try to have fun with it, I really tried to make it as simple as I can.

Archimedean spiral - the simplest fractal (lesson 1) Archimedean spiral is applied in the construction of various tools such as slotting cutters, in centrifugal pumps, fans, bumper rail ... It is interesting how Archimedes explained the rules of formation of his spiral. The ruler is fixed at some point - let's call it point A. Suppose that when the ruler starts to rotate around point A, an ant start to walk away from point A. The ant would describe the "real" geometric spiral which is obtained by combining two moving trends - rotation around a point and translation along the ruler. And fractal - the principal determinant of the fractal self-similarity. It could be said to consist of copies of itself in different scales. Actually it is a bit more complicated but for this example it will do fine enough. I have not seen simpler example of fractal anywhere.

Brownian line is another very simple fractal - lesson 2. This presentation shows the concept of self-similarity on different scales. Code is focused on iterative algorithm and Avi animation (not mine) provide the visual effect of the zoom. Zoom is exluded to preserve simplicity. It is important to get understanding of nature those fractals, algoriths and other characteristics of fractals as later examples will get more complicated. Submission is 550k because of avi animation file.

Fractal clouds are lesson 3. With this lesson we enter a realm of fractal graphics. Sometimes it is just amazing how simple it is to reveal beaty that is hidden is simple math with a little help of a computer. Fractal clouds (or dust) start forming from a single user defined point P0(A,B,X,Y), and by numerous repeating of some transformation we get some cool pics. Because of the fact that we can follow the trail that start point is leaving behined (P0-start, P1-1st iteration, P2 2nd, .... Px - wich are dots on picture) this pics are also called orbitals (trajectories) of dynamic system. To get a rude estimation of what A, B, X and Y are good to use - I prepared you Clouds.xls. Sheets 1 to 6 shows computation sequence series of here given pattern examples 1 to 6. X() sheets show graphic look of computation sequence of poorly picked parameters (with some comment why). Submission is 575k because of xls file. Have fun with this code and share parameters if you get some cool pic of your own.

Shows a 1D wave pool made of single incident and single reflected sea wave (linear theory). Shows surface elevation of sea surface and animate the motion of particles from surface indept.Surface elevetion is recorded at red dots positions (level gauges).