Why Does a Triangle Have 180 Degrees? @MathVisualProofs

Uploaded June 2026 | Updated September 2026, 2 weeks ago

Triangle Angle Sum

In this short, we show one intuitive reason for why the sum of the angles in a triangle in the Euclidean plane is always 180 degrees. What’s your favorite way to see this fact?

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This is a classic way to think about triangle angle sums and I couldn’t track down an original source.

#math #manim #triangle #anglesum #visualproof

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$Manim Tutorial: Hilbert Curve and L-Systems This is fifth video in a series inspired by the Talking Maths in Public group, I am trying my hand at showing how I create animations using 3blue1browns (Grant Sandersons) Python library ManimGL. The Talking Maths in Public Group encouraged creators to share how they would animate Hilbert Curves. In this video, I code in real time to create an L-system that draws out a level 4 and level 5 Hilbert Curve. In a previous video, I used this process to animate drawing a level 8 Hilbert Curve: https://youtu.be/xfuvkGSk8hs Let me know if you would like to see more how-to-animate math videos in the future. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! If you want the code from this video, check out: https://github.com/Tom-Edgar/MVPS/blob/main/HilbertTurtle.py If you are interested in Talking Maths in Public, check out their website: https://talkingmathsinpublic.uk/animation/ Thank you for watching! #MathsAnimationTMiP #turtlegraphics #fractal #math #manim #mathvideo #Lsystem #hilbert #hilbertcurve #planefillingcurve #visualmath #fractalcurves #tutorial #iteration #python #learntocode To learn more about animating with manim, check out: https://manim.community$

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$Gosper Curve L-System : Walking a Plane-Filling Curve In this video, we describe two how to draw a plane filling curve called the Gosper curve using an L-system. While the substitution strings are a bit complicated, the rules for this system are easy to implement and use to draw a level 6 Gosper curve (to dramatic music). If you liked this video, consider liking or subscribing. Or you can support me by buying me a coffee at https://www.buymeacoffee.com/VisualProofs Thanks! If you want to see other constructions of like this, see https://youtu.be/GVhLhAXAWoI https://youtu.be/MEzgGGq2l5E https://youtu.be/8Q_zuRKKh2g If you want to know more about L-systems or turtle graphics or the Gosper curve, check out these wikipedia sites: https://en.wikipedia.org/wiki/L-system https://en.wikipedia.org/wiki/Turtle_graphics https://en.wikipedia.org/wiki/Gosper_curve To learn more about animating with manim, check out: https://manim.community #turtlegraphics #fractal #math #manim #mathvideo #Lsystem #Gosper #gospercurve #planefillingcurve #visualmath #fractalcurves Music in this video: Rise Again by Alex-Productions | https://onsound.eu/ Music promoted by https://www.free-stock-music.com Creative Commons / Attribution 3.0 Unported License (CC BY 3.0) https://creativecommons.org/licenses/by/3.0/deed.en_US$

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Why Does a Triangle Have 180 Degrees?