List of my saved Desmos graphs

3D Truss Solver

2025/01/16 • 109,833 bytes • 143 expressions • 54 notes 📝 • 14 folders 📁 • ticker ⏲️

3D Truss Solver - Analyze forces and deformation of truss structures under its own weight. I was largely inspired by a magnetic stick toy I enjoyed in childhood, where I used magnetic sticks and steel beads to build structures that resemble trusses in ci...

Desmos JSON

3D Truss Solver

2024/12/24 • 168,367 bytes • 91 expressions • 32 notes 📝 • 10 folders 📁 • ticker ⏲️

Truss solver - A truss in civil engineering is beams (known as members) connected to nodes. You see trusses in famous structures like the Eiffel tower and the Golden Gate Bridge. Given a truss design, how do we know if it's safe? A civil engineer may answ...

Desmos JSON

Truss Solver

2024/12/21 • 22,973 bytes • 66 expressions • 24 notes 📝 • 8 folders 📁 • ticker ⏲️

Truss solver - A truss in civil engineering is beams (known as members) connected to nodes. You see trusses in famous structures like the Eiffel tower and the Golden Gate Bridge. Given a truss design, how do we know if it's safe? A civil engineer may answ...

Desmos JSON

Face with symbols over mouth 🤬

2024/10/06 • 4,458 bytes • 21 expressions

${\displaystyle \sqrt{x^2+y^2+z^2}=1}$

Desmos JSON

Ray-Splat Integral

2024/09/15 • 30,720 bytes • 141 expressions • 29 notes 📝 • 13 folders 📁

3D Gaussian splatting is old, what about 3D polynomial patch splatting? What about doing a volumetric integration along the ray instead of projection+rasterization for better multiview consistency? Try the following slider: 0: Gaussian, exp(-r^2) 1: C0 p...

Desmos JSON

Interpolated Circlular Grid

2024/07/23 • 18,777 bytes • 107 expressions • 2 notes 📝 • 6 folders 📁

${\displaystyle r_m\left(\theta \right)=\frac{\sqrt{3}}{4}\sec (|\frac{1}{3}\arcsin (\sin \left(3\theta \right))|+\frac{\pi }{6})}$

Desmos JSON

Splitting Splat

2024/07/07 • 8,829 bytes • 41 expressions • 2 notes 📝 • 4 folders 📁 • 4 regressions 📊 • ticker ⏲️

${\displaystyle V=\sqrt{-2\ln \left(\frac{I}{N}\right)}}$

Desmos JSON

Bessel Function Approximation

2024/06/12 • 11,322 bytes • 42 expressions • 4 notes 📝 • 6 folders 📁 • 5 regressions 📊

Approximate first few Bessel functions of the first kind, intended for fast inference Blue: ground truth (series expansion) Black: approximation Intended to be used here: https://github.com/harry7557558/spirulae-splat

Desmos JSON

3D Ellipse Projection

2024/05/24 • 18,524 bytes • 104 expressions • 5 notes 📝 • 9 folders 📁 • 1 regression 📊

${\displaystyle x=y\cdot \frac{A-C-\sqrt{{(A-C)}^2+4B^2}}{2B}}$

Desmos JSON

Polar Harmonics

2024/05/22 • 14,743 bytes • 82 expressions • 2 notes 📝 • 4 folders 📁 • 1 regression 📊

Representing 2D functions with "polar harmonics" https://en.wikipedia.org/wiki/Cylindrical_harmonics https://www.desmos.com/calculator/axbdkzvyek

Desmos JSON

Nerd Pride 🤓🌈

2024/03/13 • 4,863 bytes • 24 expressions • 5 folders 📁

${\displaystyle F(x,y,z)=y^2+z^2+max{(\left|\frac{x}{2.2}\right|-1,0)}^{(2+\sin \left(2z\right))}}$

Desmos JSON

Bomb 💣

2024/03/08 • 3,676 bytes • 21 expressions • 1 note 📝 • slider ▶️

${\displaystyle c\left(u\right)+\frac{0.06}{\left|c_n\left(u\right)\right|}(c_n\left(u\right)\cos \left(v\right)+c_n\left(u\right)\times \frac{c^{\prime }\left(u\right)}{\left|c^{\prime }\left(u\right)\right|}\sin \left(v\right))}$

Desmos JSON

Ammonite 3D

2024/03/08 • 22,211 bytes • 108 expressions • 30 notes 📝 • 10 folders 📁 • slider ▶️

3D version of my original "Ammonite" graph - https://www.desmos.com/calculator/z7zooq9zsh

Desmos JSON

Jellyfish

2024/03/04 • 5,970 bytes • 29 expressions • 1 note 📝 • 3 folders 📁 • slider ▶️

${\displaystyle F_{ten}=\frac{2\pi (1.5+0.5\mathrm{random}\left(N_{ten}\right))}{L_{ten}}}$

Desmos JSON

Nerd 🤓

2024/02/26 • 5,106 bytes • 23 expressions • 1 note 📝 • 5 folders 📁

> "I'm such a nerd! I can't be free!" 🤓🤓🤓🤓 🤓🤓🤓🤓 🤓🤓🤓🤓 🤓🤓🤓🤓 🤓🤓🤓🤓 🤓🤓🤓🤓 🤓🤓🤓🤓 🤓🤓🤓🤓

Desmos JSON

Pineapple

2024/02/18 • 6,118 bytes • 32 expressions • 2 folders 📁

${\displaystyle L\left(v\right)=\frac{v}{\mathrm{distance}(v,(0,0,0))}}$

Desmos JSON

Stanford Bunny (Neural Point Cloud)

2024/02/14 • 11,776 bytes • 56 expressions • 5 notes 📝

Finding a way to export compressed point clouds to Desmos, after previously exporting 2D parametric shapes and 3D implicit shapes. This seems to require more parameters with a suboptimal performance compared to implicit shapes. Possibly because surface po...

Desmos JSON

Bowl of Noodles

2024/02/06 • 4,660 bytes • 28 expressions

${\displaystyle \mathrm{sphere}(([0.72,0.8],\frac{L}{2},h+r_1),r_1)}$

Desmos JSON

Nautilus & Quartz

2024/01/15 • 29,477 bytes • 91 expressions • 47 notes 📝 • 7 folders 📁 • 1 table 🧮

"Nautilus & Quartz" by Harry Chen (harry7557558) My artwork consists of an eye decorated with abstract objects belonging to four classes: a horned nautilus shell, quartz crystals, geometric shapes, and flowers. The objects in decoration are chosen to repr...

Desmos JSON

Neogastropoda

🏆 2023 Global Math Art Contest Ages 19+ Winner

2024/01/15 • 53,560 bytes • 179 expressions • 67 notes 📝 • 10 folders 📁 • slider ▶️

"Neogastropoda" by Harry Chen (harry7557558) My artwork attempts to represent five sea snail species under the taxonomic order Neogastropoda. As someone who lived in a coastal town in Southeast China throughout my younger ages, seashells are significant p...

Desmos JSON

Banana

2024/01/11 • 2,594 bytes • 9 expressions

${\displaystyle c_1=\mathrm{hsv}(55,1,0.9)}$

Desmos JSON

Horned Nautilus

2024/01/01 • 2,065 bytes • 8 expressions

${\displaystyle R(u,v)=v^{1.2}(1-0.35{|\sin (9\pi \ln \left(v\right))|}^{0.5}){(1-\frac{\left|u\right|}{\pi })}^4}$

Desmos JSON

Neural Stanford Bunny

2023/12/26 • 3,831 bytes • 18 expressions • 1 note 📝

Neural Stanford Bunny - Test how fast Desmos can render 3D implicits. Original C++ script that does Adam+BFGS written in 2022 (https://github.com/harry7557558/Graphics/tree/master/fitting/boolean/tanh, low portability warning)

Desmos JSON

Conch on Beach

2023/12/23 • 2,012 bytes • 7 expressions

${\displaystyle Z(u,v)=1.2v^{0.7}(\sin \left(u\right)N(u,v)-2.5)}$

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Nautilus Shell Slicing

2023/12/21 • 4,254 bytes • 29 expressions • 1 note 📝

From https://harry7557558.github.io/spirulae/implicit3/ (see examples)

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Optimal Beam Support Location

2023/06/24 • 7,973 bytes • 36 expressions • 15 notes 📝 • 1 regression 📊

Find the optimal locations to support a beam in the middle to minimize overall deflection Motivation: We are building a float with beam supports and plywood, and it needs to hold multiple people in an event. However, when we stand on it, the plywood board...

Desmos JSON

Gamma Function Approximation

2023/03/07 • 2,680 bytes • 18 expressions

${\displaystyle g_{a0}\left(x\right)=\{x>0.5:\exp \left(g_1\left(x\right)\right),\frac{\pi }{\sin \left(\pi x\right)\exp \left(g_1(1-x)\right)}\}}$

Desmos JSON

UTEA Design

2022/08/23 • 5,882 bytes • 25 expressions • 10 notes 📝 • slider ▶️

This is a design I made for a school project. The goal is to "create a meaningful or eye-catching design using at least three functions, their derivative functions, and their possible integrals." I created a heart (which is possibly the most overused shap...

Desmos JSON

Shortest Spherical Path

2022/08/15 • 8,912 bytes • 37 expressions • 4 notes 📝 • 3 folders 📁 • slider ▶️

I have heard that the shortest spherical path an airplane flies from one city to another city looks counter-intuitive on a rectangular map. I try to plot the shortest path between two cities on a rectangular map, and find the highest latitude the plane go...

Desmos JSON

LDS Dependency 3D

2022/07/25 • 5,806 bytes • 25 expressions • 2 notes 📝 • 2 folders 📁 • 1 table 🧮

I think my previous LDS graph (https://www.desmos.com/calculator/zizgz2owda) looks cool, so I want to check what it looks like in 3D.

Desmos JSON

LDS Dependency

2022/07/25 • 3,797 bytes • 13 expressions • 5 notes 📝 • 4 folders 📁

My website homepage (https://harry7557558.github.io/) currently uses the base-2 Van der Corput sequence as a quasi-random sequence to generate random quotes and links. While this makes it less likely to generate consecutive same items compared to a regula...

Desmos JSON

Value Noise Distribution

2022/07/17 • 8,794 bytes • 36 expressions • 11 notes 📝 • 4 folders 📁

Attempt to produce 1-dimensional noise functions with values uniformly distributed between 0 and 1. The idea is to find the distribution of the value noise and apply its CDF to the range of the function. Basic idea: - Given three uniform random variables...

Desmos JSON

Raymarching Gradient Estimation

2022/06/24 • 15,046 bytes • 62 expressions • 3 notes 📝 • 5 folders 📁

Try to develop a fast-converging method for intersecting a ray with an implicit surface. The value of the scalar field along the ray can be viewed as a one-dimensional function, and the problem is to find the first zero of the function with a positive para...

Desmos JSON

Value-Gradient Projection

2022/06/23 • 5,459 bytes • 31 expressions • 1 note 📝 • 4 folders 📁 • 2 regressions 📊

Given v(x) and g(x)=v'(x) at x=-h0 and x=0, project v(x) and g(x) at x=h1. Test a method that expresses the answer as the weighted sum of the givens and finds the coefficients by setting the low-order terms of the series expansion to zero.

Desmos JSON

Bouncing Rigid Body

2022/06/18 • 21,384 bytes • 81 expressions • 23 notes 📝 • 6 folders 📁 • ticker ⏲️

Simulating a bouncing rigid body that conserves energy. It has both linear and angular positions and velocities.

${\displaystyle d_{pCd}(r_0,n)=-\frac{2(d_{ot}(v,n)+\omega d_{et}(p_{rd}(p,\alpha ,r_0),n))}{d_{ot2}\left(n\right)+\frac{1}{I}{d}_{et}{(p_{rd}(p,\alpha ,r_0),n)}^2}}$

Desmos JSON

Action Test

2022/06/14 • 9,244 bytes • 37 expressions • 14 notes 📝 • 5 folders 📁 • ticker ⏲️

This is my first time to play with the "action" feature in Desmos. I try to create a bouncing ball with collision response that conserves energy.

Desmos JSON

Tanh Activation Loss Function

2022/04/20 • 6,657 bytes • 26 expressions • 4 notes 📝 • 4 folders 📁 • 4 regressions 📊

Trying to find a loss function for the tanh activation function on a single layer neural network Training data

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Forest Tutorial

2022/04/19 • 9,883 bytes • 22 expressions • 19 notes 📝 • 4 folders 📁

Demonstrate the use of implicit shapes An overview of implicit shapes: - Implicit curve: f(x,y)=g(x,y) (no fill) - Implicit region: f(x,y)<g(x,y) (fill+dashed line), f(x,y)<=g(x,y) (fill+solid line) - Line can be stylized by holding the left icon and chec...

Desmos JSON

Seashells Tutorial

2022/04/19 • 5,832 bytes • 24 expressions • 4 folders 📁 • slider ▶️

${\displaystyle H_m\left(t\right)=min(max(2\cos (t+\frac{\pi }{2}),0),1)}$

Desmos JSON

Discord Emoji Complete List

2022/03/15 • 2,895,413 bytes • 7,561 expressions • 3 notes 📝

Discord Emojis Complete List Original graphics by Twemoji - https://twemoji.twitter.com/ Exported to Desmos by harry7557558 - https://github.com/harry7557558/miscellaneous/tree/master/twemoji-to-desmos A summary of the steps to produce this graph: - Sc...

Desmos JSON

Orthogonal linear regression

2022/02/11 • 8,768 bytes • 36 expressions • 9 notes 📝 • 6 folders 📁 • 2 regressions 📊

Compare different ways to fit a straight line to a set of points. Drag the black point to set data The red line (linear regression) doesn't work well for nearly-vertical lines. The blue line sometimes has weird behaviors. The two green lines are identical...

Desmos JSON

3D Parametric Surface Template 3

2022/02/08 • 14,870 bytes • 65 expressions • 18 notes 📝 • 8 folders 📁 • 1 image 🖼️

3D Parametric Surface Template 3 - by harry7557558 Improved from version 2 https://www.desmos.com/calculator/ftuogjzprg by using a more efficient way to plot faces.

Desmos JSON

Ammonite

🥇 2021 Global Math Art Contest Ages 17-18 1st Place

2022/01/09 • 34,882 bytes • 137 expressions • 49 notes 📝 • 13 folders 📁 • 1 image 🖼️ • slider ▶️

"Ammonite" by Harry Chen (harry7557558) My artwork is a creature with a spiral shell and tentacles moving underwater. I have been fascinated by objects from the sea, especially the spiral shells of mollusks, so I choose to create an ammonite whose shell c...

Desmos JSON

2022 Firework Animation

2022/01/01 • 6,841 bytes • 28 expressions • 4 folders 📁 • slider ▶️

${\displaystyle p_{fw3}=0.008c_{fw3}(2\pi \cdot \frac{1}{N_{fw3}}\cdot [1,2...N_{fw3}])}$

Desmos JSON

Random subtraction of two circles #2

2021/12/28 • 3,614 bytes • 27 expressions • 3 notes 📝

${\displaystyle X_2=I_{2inv}(I_1\cdot (2\{U<T:\frac{0}{0},\frac{U-T}{1-T}\}-1))}$

Desmos JSON

Random subtraction of two circles #1

2021/12/28 • 5,826 bytes • 39 expressions • 2 folders 📁

${\displaystyle I_1\left(x\right)=\frac{1}{2}(x{h}_1\left(x\right)+r^2\arctan \left(\frac{x}{h_1\left(x\right)}\right))}$

Desmos JSON

Random points inside union of two circles

2021/12/28 • 3,427 bytes • 25 expressions • 4 notes 📝

${\displaystyle I_0=-\frac{1}{2}(c{y}_0+r^2\arctan \left(\frac{c}{y_0}\right))}$

Desmos JSON

3D Parametric Surface Template 2

2021/12/23 • 17,635 bytes • 79 expressions • 16 notes 📝 • 8 folders 📁 • 1 image 🖼️

3D Parametric Surface Template - by harry7557558 Replace the "x_obj", "y_obj", "z_obj" functions in the "Object" folder to graph custom parametric equations. Change the subscript "_obj" to others to display multiple parametric surfaces on the same graph.

Desmos JSON

3D Parametric Surface Template

2021/12/23 • 15,957 bytes • 73 expressions • 9 notes 📝 • 8 folders 📁 • 1 image 🖼️

3D Parametric Surface Template - by harry7557558 Replace the "x_obj", "y_obj", "z_obj" functions in the "Object" folder to graph custom parametric equations. Change the subscript "_obj" to others to display multiple parametric surfaces on the same graph.

Desmos JSON

2017 CSMC A6

2021/11/03 • 2,548 bytes • 16 expressions • 1 folder 📁

${\displaystyle {(x-3)}^2+{(y-4)}^2=5^2\{\frac{x}{6}+\frac{y}{8}\ge 1\}}$

Desmos JSON

Circle Equidistant Locus

2021/10/17 • 5,363 bytes • 29 expressions • 1 note 📝 • 4 folders 📁

Locus points equidistant from two circles

${\displaystyle \frac{{(x-x_0)}^2}{a_1^2}+\frac{y^2}{a_1^2-f^2}=1}$

Desmos JSON

Cook-Torrance BRDF

2021/10/11 • 12,983 bytes • 58 expressions • 6 notes 📝 • 7 folders 📁

${\displaystyle \mathrm{\Lambda }\left(\theta \right)=\frac{\sqrt{1+{\alpha }^2\tan {\left(\theta \right)}^2}-1}{2}}$

Desmos JSON

Henyey-Greenstein importance sampling

2021/10/03 • 6,787 bytes • 31 expressions • 6 notes 📝 • 3 folders 📁

${\displaystyle F_{inv}\left(x\right)=\frac{1}{2g}(1+g^2-{\left(\frac{(1-g^2)}{2g(x+\frac{1-g}{2g})}\right)}^2)\{0\le x\le 1\}}$

Desmos JSON

Oren-Nayar BRDF

2021/10/01 • 5,669 bytes • 27 expressions • 4 folders 📁

${\displaystyle {\int }_0^{2\pi }{\int }_0^{\frac{\pi }{2}}{F}_r(u,v)\cos \left(v\right)\cdot \sin \left(v\right)dvdu}$

Desmos JSON

Random points inside intersection of two circles

2021/09/12 • 2,842 bytes • 19 expressions • 5 notes 📝

Attempt to generate uniform random samples in the intersection of two circles

${\displaystyle I\left(x\right)=\frac{1}{2}{r}^2\arcsin \left(\frac{x}{r}\right)+\frac{1}{2}x\sqrt{r^2-x^2}-cx}$

Desmos JSON

RYB Color Wheel Girl

2021/08/27 • 10,039 bytes • 46 expressions • 5 notes 📝 • 4 folders 📁

WebGL version: https://www.shadertoy.com/view/Nd33zB Linear interpolation

Desmos JSON

2D color palette

2021/08/14 • 1,912 bytes • 12 expressions

${\displaystyle Y=-1+\frac{2}{N}(\mathrm{floor}\left(\frac{I}{N}\right)+\frac{1}{2})}$

Desmos JSON

Linear color gradient grapher

2021/08/13 • 2,883 bytes • 13 expressions • 3 notes 📝 • 5 folders 📁

${\displaystyle g\left(t\right)=0.5+0.5\cos \left(2\pi (t-\frac{1}{3})\right)}$

Desmos JSON

Titration Curve

2021/03/31 • 2,844 bytes • 14 expressions • 7 notes 📝

pH and H⁺/OH⁻ amounts of the sample, assuming 1L sample

${\displaystyle a\left(t\right)=\frac{a_0+a_d\cdot t}{1+t}}$

Desmos JSON

Quadratic Interpolation

2020/12/29 • 4,083 bytes • 16 expressions

${\displaystyle x=\frac{y_0(x_c^2-x_1^2)+y_c(x_1^2-x_0^2)+y_1(x_0^2-x_c^2)}{2(y_0(x_c-x_1)+y_c(x_1-x_0)+y_1(x_0-x_c))}}$

Desmos JSON

Vectorization Test Cases

2020/11/08 • 3,315 bytes • 12 expressions

${\displaystyle \frac{1}{3}(\sin \left(N\left(S\right)t\right),\cos \left(K\left(S\right)t\right))+(N\left(S\right),K\left(S\right))}$

Desmos JSON

Epsilon

2020/10/05 • 2,128 bytes • 12 expressions • 3 notes 📝

Machine epsilon demonstration Result may vary by hardware and web browser

Desmos JSON

Torus projection

2020/09/10 • 16,048 bytes • 82 expressions • 7 notes 📝 • 6 folders 📁

${\displaystyle s_z\left(n\right)=z_0+\frac{n}{D_z}(z_1-z_0)}$

Desmos JSON

Ellipsoid projection

2020/09/07 • 13,179 bytes • 71 expressions • 5 notes 📝 • 4 folders 📁

${\displaystyle G(x,y,z)=\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}-1}$

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Ellipse principal axes

2020/09/07 • 1,536 bytes • 11 expressions

${\displaystyle P_1=\frac{v_1}{\mathrm{distance}((0,0),v_1)}\sqrt{\frac{1}{{\lambda }_1}}}$

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Elliptical ring moment of inertia

2020/09/06 • 4,748 bytes • 20 expressions • 1 note 📝 • 4 folders 📁

Interactive visualization of the ratio of the moment of inertia of a uniform elliptical ring to its mass

${\displaystyle r_e\left(t\right)=RN(t-\frac{1}{N}\mathrm{floor}\left(Nt\right))}$

Desmos JSON

Polynomial trigonometric fit

2020/08/25 • 6,068 bytes • 32 expressions • 3 notes 📝 • 6 folders 📁

Multivation: find an approximation of roots of equations in the form P(x)+c1*cos(w*x)+c2*sin(w*x)=0, P(x) is a polynomial with degree no more than 4 that can be solved analytically. Perform Newton's iteration twice on the approximation to solve the equati...

Desmos JSON

damped forced vibration

2020/08/15 • 2,375 bytes • 14 expressions

${\displaystyle C_1=\frac{Fuw}{{(-m{w}^2+k)}^2+u^2{w}^2}+\frac{mg}{k}}$

Desmos JSON

Capacitor Output Voltage

2020/08/13 • 2,315 bytes • 13 expressions • 1 note 📝

Solve http://www.thefouriertransform.com/series/circuitExample.php without Fourier series

Desmos JSON

random vector generator

2020/08/03 • 7,092 bytes • 31 expressions • 7 notes 📝 • 6 folders 📁

Generate random vectors in R3

${\displaystyle Z_3\left(t\right)=w_3\left(t\right)v_3\left(t\right)}$

Desmos JSON

Quadratic Quotient

2020/07/08 • 5,172 bytes • 35 expressions • 2 notes 📝 • 4 folders 📁

${\displaystyle p_0=(-\frac{1}{2D_A}(A_{11}{u}_0-A_{01}{u}_1),-\frac{1}{2D_A}(A_{00}{u}_1-A_{01}{u}_0))}$

Desmos JSON

Numerical Differentiation Comparison

2020/06/28 • 7,293 bytes • 40 expressions • 6 folders 📁

${\displaystyle c_x=\frac{1}{2h}(F(x_0+h,y_0)-F(x_0-h,y_0))}$

Desmos JSON

Ellipse Distance Lagrangian

2020/06/26 • 4,651 bytes • 19 expressions • 2 notes 📝 • 3 folders 📁

${\displaystyle f_0\left(k\right)=\frac{1}{a^2}{\left(\frac{a^2{x}_0}{a^2-k}\right)}^2+\frac{1}{b^2}{\left(\frac{b^2{y}_0}{b^2-k}\right)}^2-1}$

Desmos JSON

Trigonometric Cubic Equation (sin/sinh)

2020/06/20 • 2,731 bytes • 20 expressions • 1 note 📝 • 2 folders 📁

Solving general cubic equations using sin/sinh triple angle property

${\displaystyle (u\cdot \sin (\frac{1}{3}\arcsin (m\cdot q)+\frac{2\pi }{3})+f,0)}$

Desmos JSON

Trigonometric Cubic Equation

2020/06/19 • 2,534 bytes • 15 expressions • 3 folders 📁

${\displaystyle (\sin \left(\frac{1}{3}(\arcsin \left(k\right)+2\pi )\right),0)}$

Desmos JSON

4th derivative simpson error estimate

2020/05/29 • 807 bytes • 4 expressions

${\displaystyle f\left(x\right)=\arctan \left(\frac{x^3-3x^2+2x+1}{2x^3+x^2-x-2}\right)}$

Desmos JSON

Hitting the Target

2020/05/07 • 2,390 bytes • 17 expressions

${\displaystyle c(h-y\cdot \frac{d}{x}-\frac{1}{2}g\cdot \frac{d^2}{x^2})<0\{x<0\}}$

Desmos JSON

solve a*cos(x)+b*sin(x)=c

2020/05/02 • 1,947 bytes • 9 expressions • 4 notes 📝

${\displaystyle x=\arcsin \left(\frac{a\sqrt{a^2+b^2-c^2}+bc}{b^2+a^2}\right)}$

Desmos JSON

2D Metaballs - Snowflake

2020/04/18 • 11,071 bytes • 43 expressions • 7 notes 📝 • 4 folders 📁

clamp a real number in [0,1]

${\displaystyle a_{t2}(y,x)=\arctan \left(\frac{y}{x}\right)+\{x>0:0,\pi \cdot \mathrm{sign}\left(y\right)\}}$

Desmos JSON

2D Metaballs - Coronavirus

2020/04/06 • 11,297 bytes • 46 expressions • 8 notes 📝 • 5 folders 📁

Stay Home, Save Lives: Help Stop Coronavirus! (use the following slider to animate)

Desmos JSON

Desmos 3D (Perspective)

2020/04/05 • 12,560 bytes • 41 expressions • 10 notes 📝 • 5 folders 📁

3D modeling and animation on Desmos. I decide to keep most of my creation process. These variables control the camera, where the camera is located at d·(cos(rz)cos(rx), sin(rz)cos(rx), sin(rx)).

Desmos JSON

Desmos 3D

2020/04/03 • 14,943 bytes • 68 expressions • 9 notes 📝 • 7 folders 📁

3D graphing on Desmos! The following examples demonstrate how to project Planar Implicit Curve, Spacial Parametric Curve, Explicit Surface, Parametric Surface, and Implicit Surface onto a 2D plane. Camera: (cos(rz)cos(rx), sin(rz)cos(rx), sin(rx)).

Desmos JSON

Love Path

2020/04/01 • 1,152 bytes • 2 expressions

${\displaystyle (0.0184-0.1311\cos (t)-0.03627\sin (t),0.01564+0.0455\cos (t)-0.153\sin (t))}$

Desmos JSON

Offsetting Curves

2020/03/24 • 12,109 bytes • 35 expressions • 8 notes 📝 • 9 folders 📁

Offsetting Curves: Useful in CAD and Graphics Design. (And is quite simple)

${\displaystyle (t+o\frac{e^{-t}}{\sqrt{1+e^{-2t}}},(e^{-t}-1)+o\frac{1}{\sqrt{1+e^{-2t}}})}$

Desmos JSON

Fourier Series

2019/10/24 • 9,745 bytes • 59 expressions • 2 notes 📝 • 3 folders 📁 • 1 table 🧮

Drag the points, see what the graph looks like. Do you understand why most lossy image compression methods doesn't work well for simple illustrations?

Desmos JSON