How to 3D Print a Fractal (Sierpinski Arrowhead Curve) @TomRocksMaths

Tom Rocks Maths | How to 3D Print a Fractal (Sierpinski Arrowhead Curve) @TomRocksMaths | Uploaded 3 years ago | Updated 5 minutes ago
Tom Rocks Maths intern Max Cairney-Leeming designs and 3D prints his very own developing fractal. Starting with the Sierpiński Arrowhead Curve, the developing fractal is created by layering several iterations on top of one another, and then adding some supporting structures between them to create a 3D model that can be printed successfully.

The idea of developing fractals is based on the work of Henry Segerman at Oklahoma State University. More information can be found at the links below.

Publication: doi.org/10.1080/17513472.2013.852399,
Henry's website: http://www.segerman.org
Henry's other website: http://www.3dprintmath.com

Produced by Max Cairney-Leeming with assistance from Dr Tom Crawford. Max is a second year student studying Maths and Computer Science at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: seh.ox.ac.uk/people/tom-crawford

For more maths content check out Tom's website tomrocksmaths.com

You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
facebook.com/tomrocksmaths
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$How to 3D Print a Fractal (Sierpinski Arrowhead Curve) Tom Rocks Maths intern Max Cairney-Leeming designs and 3D prints his very own developing fractal. Starting with the Sierpiński Arrowhead Curve, the developing fractal is created by layering several iterations on top of one another, and then adding some supporting structures between them to create a 3D model that can be printed successfully. The idea of developing fractals is based on the work of Henry Segerman at Oklahoma State University. More information can be found at the links below. Publication: https://doi.org/10.1080/17513472.2013.852399, Henrys website: http://www.segerman.org/ Henrys other website: http://www.3dprintmath.com/ Produced by Max Cairney-Leeming with assistance from Dr Tom Crawford. Max is a second year student studying Maths and Computer Science at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: https://www.seh.ox.ac.uk/people/tom-crawford For more maths content check out Toms website https://tomrocksmaths.com/ You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. https://www.facebook.com/tomrocksmaths/ https://twitter.com/tomrocksmaths https://www.instagram.com/tomrocksmaths/ Get your Tom Rocks Maths merchandise here: https://beautifulequations.net/collections/tom-rocks-maths$

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$Oxford Calculus: Separation of Variables Integration Technique Explained with Examples University of Oxford mathematician Dr Tom Crawford explains how to use the method of separation of variables to solve first order separable differential equations. Test yourself with some exercises on the separation of variables technique for solving differential equations with this FREE worksheet in Maple Learn: https://learn.maplesoft.com/doc/eb9iozpfsn/trm-separation-of-variables-worksheet The separation of variables technique is introduced for a general first order separable differential equation, and then used to solve two problems with fully worked example solutions. The first example requires manipulation of a fraction, and the second a substitution and the use of some trigonometric identities. In both cases the solution is checked by calculating derivatives, with the second one requiring implicit differentiation due to the solution being given implicitly. Check your working using the Maple Calculator App – available for free on Google Play and the App Store. Android: https://play.google.com/store/apps/details?id=com.maplesoft.companion&hl=en Apple: https://apps.apple.com/us/app/maple-companion/id1466659419 Other videos in the Oxford Calculus series can be found here: https://www.youtube.com/playlist?list=PLMCRxGutHqflZoTY8JCm1GRzCdGXvZ3_S Finding critical points for functions of several variables: https://youtu.be/Leomuu82-u8 Classifying critical points using the method of the discriminant: https://www.youtube.com/watch?v=5M_ts8Q2LEM Partial differentiation explained: https://youtu.be/RVwcBGzQcT8 Second order linear differential equations: https://youtu.be/F54yhRB9qDI Integrating factors explained: https://www.youtube.com/watch?v=ftqKuOfOX3E Solving simple PDEs: https://youtu.be/uztjxrGY6Jw Jacobians explained: https://www.youtube.com/watch?v=YqMelRryG8U Find out more about the Maple Calculator App and Maple Learn on the Maplesoft YouTube channel: https://www.youtube.com/channel/UCq2MmZQ8-kqEVAnmL2GSMsQ Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: https://www.seh.ox.ac.uk/people/tom-crawford For more maths content check out Toms website https://tomrocksmaths.com/ You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. https://www.facebook.com/tomrocksmaths/ https://twitter.com/tomrocksmaths https://www.instagram.com/tomrocksmaths/ Get your Tom Rocks Maths merchandise here: https://beautifulequations.net/collections/tom-rocks-maths$