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...
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...
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...
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...
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
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
2024/03/08 • 3,676 bytes • 21 expressions • 1 note 📝 • slider ▶️
$\displaystyle{c\left(u\right)+\frac{0.06}{\left|c_{n}\left(u\right)\right|}\left(c_{n}\left(u\right)\cos\left(v\right)+c_{n}\left(u\right)\times\frac{c'\left(u\right)}{\left|c'\left(u\right)\right|}\sin\left(v\right)\right)}$
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
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...
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...
🏆 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...
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)
2023/12/21 • 4,254 bytes • 29 expressions • 1 note 📝
From https://harry7557558.github.io/spirulae/implicit3/ (see examples)
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...
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...
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...
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.
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...
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...
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...
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.
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.
$\displaystyle{d_{pCd}\left(r_{0},n\right)=-\frac{2\left(d_{ot}\left(v,n\right)+\omega d_{et}\left(p_{rd}\left(p,\alpha,r_{0}\right),n\right)\right)}{d_{ot2}\left(n\right)+\frac{1}{I}d_{et}\left(p_{rd}\left(p,\alpha,r_{0}\right),n\right)^{2}}}$
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...
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...
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...
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.
🥇 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...
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.
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.
2021/09/12 • 2,842 bytes • 19 expressions • 5 notes 📝
Attempt to generate uniform random samples in the intersection of two circles
$\displaystyle{I\left(x\right)=\frac{1}{2}r^{2}\arcsin\left(\frac{x}{r}\right)+\frac{1}{2}x\sqrt{r^{2}-x^{2}}-cx}$
2021/08/27 • 10,039 bytes • 46 expressions • 5 notes 📝 • 4 folders 📁
WebGL version: https://www.shadertoy.com/view/Nd33zB Linear interpolation
2020/12/29 • 4,083 bytes • 16 expressions
$\displaystyle{x=\frac{y_{0}\left(x_{c}^{2}-x_{1}^{2}\right)+y_{c}\left(x_{1}^{2}-x_{0}^{2}\right)+y_{1}\left(x_{0}^{2}-x_{c}^{2}\right)}{2\left(y_{0}\left(x_{c}-x_{1}\right)+y_{c}\left(x_{1}-x_{0}\right)+y_{1}\left(x_{0}-x_{c}\right)\right)}}$
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
$\displaystyle{r_{e}\left(t\right)=RN\left(t-\frac{1}{N}\operatorname{floor}\left(Nt\right)\right)}$
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...
2020/08/13 • 2,315 bytes • 13 expressions • 1 note 📝
Solve http://www.thefouriertransform.com/series/circuitExample.php without Fourier series
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)).
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)).
