∞ 𝕁uan ℂarlos @jcponcemath
Sharing the beauty of maths ꩜ Always learning + maths applets + online books and more: https://t.co/JPqhkmZywG patreon.com/jcponce Australia Joined September 2018-
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∞ 𝕁uan ℂarlos retweeted
Matrices are Graphs and Graphs are Matrices(part two) Visualization |Animation | Interactive geogebra.org/u/daniel+mentr… #geogebra #math #science #iteachmath #mtbos #visualization #elearning @bancoche
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🤩📣✨Visualización de la Fibración de Hopf✨ bestiariotopologico.blogspot.com/2025/08/visual… #threejs #matematicas #topología
∞ 𝕁uan ℂarlos retweeted
📣✨Hopf fibration #interactive #visualization✨🤩 🔗 dynamicmath.xyz/hopf-fibration/ #mathematics #topology #threejsJourney #threejs
∞ 𝕁uan ℂarlos retweeted
Meshline for TSL #threejs is here ! 🥳 Github & demo links in thread 👇
∞ 𝕁uan ℂarlos retweeted
Perquè m'agrada tant el @geogebra? Per poder fer coses com aquesta geogebra.org/m/ep6cvfav! @acgeogebra @mmart659 @monicasolermon @mcarmenmaths @chacon_sevilla @Zafrainvestiga @CarlesGranell4 ...
∞ 𝕁uan ℂarlos retweeted
~ Symmetry Hypnosis II ~ More arcs, spheres and mesmerising patterns... #octanerender #symmetry
∞ 𝕁uan ℂarlos retweeted
@Kali_fissure @jcponcemath Exploring a single-sided 4π parametric surface in 3D — two regions merge at a catastrophic convergence node. Rotate freely, visualize CP violation topology, and see how 720° is needed to close the surface. #MathArt #3DGeometry codepen.io/equant_org/pen…
A Quick Intro to Fiber Bundles (Hopf Fibration) youtu.be/dkyvZo68IoM by @RBehiel #math #visualization #topology #quantum
∞ 𝕁uan ℂarlos retweeted
My "plot" of the magnetic field of a current loop!
∞ 𝕁uan ℂarlos retweeted
Mathematics, reality, mind, higher dimensions. Hopf fibration explorer. By Juan Carlos, @jcponcemath, Source: dynamicmath.xyz/hopf-fibration/, Used with permission.
∞ 𝕁uan ℂarlos retweeted
This is really cool! The Hopf fibration is such a neat thing to imagine. It’s great to be able to interact with it like this.
This is really cool! The Hopf fibration is such a neat thing to imagine. It’s great to be able to interact with it like this.
∞ 𝕁uan ℂarlos retweeted
@jcponcemath 👍🤘 Surface (cos(u/2)cos(v/2),cos(u/2)sin(v/2),sin(u)/2),u,0,2pi,v,0,4pi A single sided closed surface with two regions joined at catastrophic node of convergence. Modeling CP violation. Notice that 4pi, 720° are needed to complete the surface.
∞ 𝕁uan ℂarlos retweeted
Plankton of symmetric attractors Made with #sympy #numpy #matplotlib
∞ 𝕁uan ℂarlos retweeted
The strong nuclear force blossoms from the principle of local SU(3) color symmetry. Join me as we derive quantum chromodynamics from first principles in this new 5-part series. Part 1 is now online! :) youtu.be/GfeeIwmb_hw
∞ 𝕁uan ℂarlos retweeted
QCD Part 2 is now online! :) youtu.be/hy_oEbOQTLE This video, we’ll explore the group theory of the unitary and special unitary groups, U(N) and SU(N), as well as their Lie algebras 𝖚(N) and 𝖘𝖚(N), with an emphasis on N = 3. SU(3) is the gauge group of QCD, and 𝖘𝖚(3)…
∞ 𝕁uan ℂarlos retweeted
Why do gluons exist? 🤔 The eight gluon fields burst forth, magnificently, from local SU(3) symmetry. In Part 3 of the QCD series, we’ll show exactly how and why that happens :) youtu.be/-K7P5WQE1X0
∞ 𝕁uan ℂarlos retweeted
Part 4 of the QCD series is now online! :) In this part, we derive the field strength tensor from scratch, letting it emerge naturally from local SU(3) symmetry. It contains the color-electric and color-magnetic fields, basically eight versions of the electric and magnetic…
∞ 𝕁uan ℂarlos retweeted
Part 5 of the QCD series is now online! :) In this final episode, we bring everything together to build the QCD Lagrangian and explore some related concepts. Huge thanks to everyone who’s made it to the end. I hope it has been as fun to watch as it was to make!…
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