Videos from @SparksMaths

I live-build the caustic simulator as discussed in the Numberphile video here: https://youtu.be/hKpa9ntjgeo?si=ozvNhB1kgJ7wvkLB GeoGebra file: https://www.geogebra.org/m/bhr8jqqy Version with buttons: https://www.geogebra.org/m/nwxru6qc Dominika Vasilkova wrote an excellent Chalkdust article on this in 2017: https://chalkdustmagazine.com/features/cardioids-coffee-cups/
Caustic Reflection Simulator - Live Geogebra Build - Numberphile Companion Video
Live build of a basic Trigonometry Tracer, as prompted by the March 2025 TMiP Animation Generation Collaboration. https://talkingmathsinpublic.uk/animation/ Video on possible classroom use of a trig tracer here: https://youtu.be/ucps_19DhBI If you want to support my freelance work in maths communication you can check out my Patreon page here: https://www.patreon.com/c/SparksMaths 00:00 Intro 00:35 Start of build 00:50 Synchronising the two graphics views 05:43 Build circle and trace sine wave 10:15 Add cosine wave 10:42 Degrees rather than radians? 13:53 Making a nicer radians labelling 14:47 Extensions (and link to bigger file) 15:24 Ending
Building a Trigonometry Tracer - #MathsAnimationTMiP
In the Fractal Dimension Numberphile Video https://www.youtube.com/watch?v=FnRhnZbDprE I chat a lot about the Fractal Tetrahedron, or Sierpinski Tetrahedron. Here I build that object live in GeoGebra, and also discuss Hideki Tsuiki's other Imaginary Cube fractals. If you want to support my freelance work in maths communication you can check out my Patreon page here: https://www.patreon.com/c/SparksMaths Hideki Tsuiki's page: https://www.i.h.kyoto-u.ac.jp/users/tsuiki/index-e.html His STL files for 3D printing can be found here: https://u.kyoto-u.jp/icube and YouTube: https://www.youtube.com/channel/UCsmJvExpzRQdoPFlOXGRDHg Ben Gobler's video: https://www.youtube.com/watch?v=Cnhr6VaQKlg GeoGebra file: https://www.geogebra.org/m/nwcngnh4 Other Fractal builds: Chaos Game: https://youtu.be/IKhahq9EwPw Sierpinski Triangle (How to use the Iteration command): https://youtu.be/_uMs2fHW3Us Sierpinski Carpet: https://youtu.be/6XoFP-zSiFA Dragon Curve: https://youtu.be/PaS2xaMOMp8 00:00 Start and Intro 03:41 GeoGebra build 19:24 Latin Squares and why they help with Imaginary Cubes 22:01 Tetrahedron 24:45 Triangular Antiprismoid - T fractal 28:08 Hexagonal Bipyramid - H fractal 32:03 Final chat with the 3D prints
Fractal Tetrahedron Live Build - Numberphile Companion Video
A way to visualise and adjust the solution of a 2nd order differential Equation, for classroom discussion. Interactive file: https://www.geogebra.org/m/ej8cmqjx Explanatory doc: https://drive.google.com/file/d/1Dr0ntempHWiXw7iths5HrFApzFLTgzfi/view?usp=drive_link
2nd Order Differential Equations Visualiser - Classroom use demo
A file to help visualise the classic MaxBox problem. Interactive file: https://www.geogebra.org/m/ufhjeqvy Explanatory doc: https://drive.google.com/file/d/1DjfIIl-IHq4B2na4a1pSbtAMp7MZLTsR/view?usp=drive_link
Max Box Visualiser - Classroom use demo
A video demonstrating using Moving Circle Theorems files for classroom discussion/practice. 8 circle theorem interactives, and proof discussions here: https://www.geogebra.org/m/wyq3bgje Explanatory doc here: https://drive.google.com/file/d/1DfMMUoTyY2nQA5JK0k-DyxIQMWiH3WnD
Moving Circle Theorems - Classroom use demo
A useful file for visualising trigonometric functions on the unit circle, alongside their graphs. Includes sin, cos, tan, sec, cosec, and cot. Interactive files: https://www.geogebra.org/m/S2W46Thv - Trig Tracer https://www.geogebra.org/m/cexgbqsf - Graphs beyond 360° https://www.geogebra.org/m/ckwfhxwv - Multiple solutions Explanatory doc: https://drive.google.com/file/d/1DdKdiHcyDqcDOxavfMBXBlUAmxNSVzel/view?usp=drive_link
Trigonometry Tracer & Visualiser - Classroom use demo
A demonstration of using a SlowPlot file for classroom discussion/practice. Interactive file: https://www.geogebra.org/m/gj7uugyc Explanatory doc: https://drive.google.com/file/d/1Dp6GwedgSIiz6vKa0Ozc1hokWNFCtlAI/view?usp=drive_link
Slowplot graph visualiser - Classroom use demo
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