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+ 
The toothpick sequence in geometry is a 2D pattern sequence which is based on the previous @@ -21,10 +21,10 @@ different colour than the rest of the pattern. [^1]: https://en.wikipedia.org/wiki/Ulam%E2%80%93Warburton_automaton === "Light Mode" - {: style="width:300px"} + {: style="width:300px"} === "Dark Mode" - {: style="width:300px"} + {: style="width:300px"} !!! tip "Fun Fact" The toothpick is considered such an essential that even Swiss Army knives - a popular brand of multi-function tools - have included one in their product diff --git a/docs/simulations/index.md b/docs/simulations/index.md index e36ded2..df5bca5 100644 --- a/docs/simulations/index.md +++ b/docs/simulations/index.md @@ -2,12 +2,12 @@ | Simulation | Category | Description | Image | | :---------------: | :---------------: | :---------------: | :---------------: | -| Bubble Sort (Bars) | Algorithms | Bubble sort is a sorting algorithm that repeatedly steps through the list by comparing adjacent elements and swaps them if they are in the wrong order |  | -| Epicycloid Pattern(Pencil of Lines) | Mathematics | a.k.a hypercycloid, is a plane curve created by tracing a chosen point on the edge of a circle of radius r rolling on the outside of a circle of radius R |  | -| Epicycloid Curve | Mathematics | a.k.a hypercycloid, is a plane curve created by tracing a chosen point on the edge of a circle of radius r rolling on the outside of a circle of radius R |  | -| [Fourier Series](mathematics/FourierSeries.md) | Mathematics | A Fourier series is an expansion of a periodic function in terms of an infinite sum of sines and cosines |  | -| Insertion Sort (Bars) | Algorithms | Insertion sort is a sorting algorithm that builds the final list one item at a time |  | -| [Lissajous Pattern](mathematics/LissajousPattern.md)| Mathematics | Lissajous pattern is generated by the junction of a pair of sinusoidal waves with axes that are perpendicular to one another | | -| [Maurer Rose Pattern](mathematics/MaurerRosePattern.md) | Mathematics | A Maurer Rose is a polygonal curve with vertices on a rose and can be described as a closed route in the polar plane |  | -| Rose Pattern | Mathematics | A Rose pattern is generated by the junction of sinusoids plotted in polar coordinates |  | -| [Toothpick Pattern](algorithms/ToothpickPattern.md) | Algorithms | A Toothpick pattern is a sequence of 2D patterns formed by repeatedly adding line segments or _toothpicks_ to the previous pattern in the sequence. It starts with a single line segment |  | +| Bubble Sort (Bars) | Algorithms | Bubble sort is a sorting algorithm that repeatedly steps through the list by comparing adjacent elements and swaps them if they are in the wrong order |  | +| Epicycloid Pattern(Pencil of Lines) | Mathematics | a.k.a hypercycloid, is a plane curve created by tracing a chosen point on the edge of a circle of radius r rolling on the outside of a circle of radius R |  | +| Epicycloid Curve | Mathematics | a.k.a hypercycloid, is a plane curve created by tracing a chosen point on the edge of a circle of radius r rolling on the outside of a circle of radius R |  | +| [Fourier Series](mathematics/FourierSeries.md) | Mathematics | A Fourier series is an expansion of a periodic function in terms of an infinite sum of sines and cosines |  | +| Insertion Sort (Bars) | Algorithms | Insertion sort is a sorting algorithm that builds the final list one item at a time |  | +| [Lissajous Pattern](mathematics/LissajousPattern.md)| Mathematics | Lissajous pattern is generated by the junction of a pair of sinusoidal waves with axes that are perpendicular to one another | | +| [Maurer Rose Pattern](mathematics/MaurerRosePattern.md) | Mathematics | A Maurer Rose is a polygonal curve with vertices on a rose and can be described as a closed route in the polar plane |  | +| Rose Pattern | Mathematics | A Rose pattern is generated by the junction of sinusoids plotted in polar coordinates |  | +| [Toothpick Pattern](algorithms/ToothpickPattern.md) | Algorithms | A Toothpick pattern is a sequence of 2D patterns formed by repeatedly adding line segments or _toothpicks_ to the previous pattern in the sequence. It starts with a single line segment |  | diff --git a/docs/simulations/mathematics/FourierSeries.md b/docs/simulations/mathematics/FourierSeries.md index d843804..a9cb225 100644 --- a/docs/simulations/mathematics/FourierSeries.md +++ b/docs/simulations/mathematics/FourierSeries.md @@ -1,6 +1,6 @@ # Fourier Series --- -{: style="height:200px", align=right} +{: style="height:200px", align=right}
A Fourier transform is a way of breaking down a complex function into (infinite) sums of sine and cosine waves. In short, given a smoothie, it finds its recipe. Fourier series is the Fourier transform of a periodic function and it aims to represent the periodic function as a sum of sinusoidal waves. It is analogous to the Taylor series, which represents functions as an infinite sum of monomial terms.
@@ -31,8 +31,8 @@ We have the flexibility to fiddle with the following parameters: [^2]: https://upload.wikimedia.org/wikipedia/commons/1/1e/Fourier_series_sawtooth_wave_circles_animation.svg === "Light Mode" - {: style="width:600px"} + {: style="width:600px"} === "Dark Mode" - {: style="width:600px"} + {: style="width:600px"} diff --git a/docs/simulations/mathematics/LissajousPattern.md b/docs/simulations/mathematics/LissajousPattern.md index b9e1e9e..f7a4978 100644 --- a/docs/simulations/mathematics/LissajousPattern.md +++ b/docs/simulations/mathematics/LissajousPattern.md @@ -1,6 +1,6 @@ # Lissajous Pattern --- -{: style="height:200px", align=right} +{: style="height:200px", align=right}A Lissajous curve in mathematics, also known as Lissajous Figure or Bowditch curve is the @@ -16,10 +16,10 @@ $a:b$. For a ratio of $1$, and $δ = \frac{π}{2} radians$, the figure is a *cir Another simple Lissajous figure is the *parabola* $(\frac{b}{a} = 2, δ = \frac{π}{4})$. === "Light Mode" - {: style="width:300px"} + {: style="width:300px"} === "Dark Mode" - {: style="width:300px"} + {: style="width:300px"} !!! tip "Fun Fact" The title sequence by John Whitney for Alfred Hitchcock's 1958 film Vertigo is based on Lissajous figures. diff --git a/docs/simulations/mathematics/MaurerRosePattern.md b/docs/simulations/mathematics/MaurerRosePattern.md index e07c4ba..0c60c8f 100644 --- a/docs/simulations/mathematics/MaurerRosePattern.md +++ b/docs/simulations/mathematics/MaurerRosePattern.md @@ -1,6 +1,6 @@ # Maurer Rose Pattern --- -{: style="height:200px", align=right} +{: style="height:200px", align=right} A Maurer rose of the rose $r = sin(nθ)$ consists of the 360 lines successively connecting the mentioned below 361 points, where $n$ is a positive integer. The rose has $n$ petals if $n$ is odd, and $2n$ petals if $n$ is even. @@ -18,7 +18,7 @@ A Maurer rose can be described as a closed route in the polar plane. A Maurer rose is a closed curve since the starting point, $(0, 0)$ and the ending point, $(sin(n·360d), 360d)$, coincide. === "Light Mode" - {: style="width:300px"} + {: style="width:300px"} === "Dark Mode" - {: style="width:300px"} \ No newline at end of file + {: style="width:300px"} \ No newline at end of file diff --git a/mkdocs.yml b/mkdocs.yml index 90f560f..6025ad5 100644 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -1,11 +1,11 @@ site_name: 'Simulate' site_description: 'Official site for Simulate' site_author: 'Yash Lamba' -site_url: 'https://cod-ed.github.io/simulate/' +site_url: 'https://builtree.github.io/simulate/' # Repository -repo_name: 'cod-ed/simulate' -repo_url: 'https://github.com/cod-ed/simulate' +repo_name: 'builtree/simulate' +repo_url: 'https://github.com/builtree/simulate' # Copyright nav: @@ -22,7 +22,7 @@ nav: - Maurer Rose Pattern: 'simulations/mathematics/MaurerRosePattern.md' - Fourier Series: 'simulations/mathematics/FourierSeries.md' - Simulate Web: - - Home: 'https://cod-ed.github.io/simulate/web' + - Home: 'https://builtree.github.io/simulate/web' # Configuration theme:
+ 