Mathematic Animations

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**A Geometric Construction of the Parabola**

► A Matthen's creation>>

http://blog.matthen.com/post/6000287357/a-geometric-construction-of-the-parabola-the-blue

*The blue point is called the*

*focus**, and the horizontal line is the*

*directrix**. The blue lines show all the points which are at an equal distance from the red point and the blue focus point.*

*The point of the blue line directly above the red dot contributes to the parabolic curve, because the parabola is defined as the*

*set of all points equidistant to the focus and the directrix**.*

► Go to the code>> https://pastebin.com/k5FrFVfp

**Further reading**

► Constructing a Parabola>> http://jwilson.coe.uga.edu/EMAT6680Fa07/O%27Kelley/Assignment%206/Parabola.html

► Methods of constructing parabolas>> http://www3.ul.ie/~rynnet/swconics/SP.htm

#Mathematics, #GeometricCurves, #Geometry, #ConicSections, #Animations

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* A visual proof that ¼ + 1/16 + 1/64 + … = 1/3*

Work by +Matthew Henderson

http://blog.matthen.com/

#math #animation #science #coding

Work by +Matthew Henderson

http://blog.matthen.com/

#math #animation #science #coding

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**Anything Goes**

A creation from

**Clayton Shonkwiler**, mathematician and artist.

He wrote:

*"It's an obvious but kind of cool fact that every quadrilateral tiles the plane. Building on some ideas from*

*Cut the Knot**, I decided to write a function which would, given the edges of a quadrilateral (as vectors), produce a tessellation. Here's what I ended up with."*

► Go to the source, where you can get the code>> http://community.wolfram.com/groups/-/m/t/865171

**Further reading**

► Simple Quadrilaterals Tessellate the Plane>>

http://www.cut-the-knot.org/Curriculum/Geometry/QuadTessellation.shtml

#Mathematics, #Art, #Tesselation, #QuadrilateralTiles, #Geometry

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*"The pyramid shape is said to hold many secrets and amazing properties. One of them is a sense of wonder.”*

**― Vera Nazarian**

Work by Charlie Deck

#C4D #animation #math

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**Osculating Circles to a Polar Curve**

A nice creation by

**Clayton Shonkwiler**.

This animation shows 100 osculating circles to the curve

*r*= cos(3

*θ*+

*π*/2) as they traverse along the curve.

► Go to this link for more information and for the code: http://community.wolfram.com/groups/-/m/t/1114049

Clayton Shonkwiler is a mathematician and artist at Colorado State University.

About him, by his own words:

*"I am interested in geometric models of physical systems; currently I'm mostly focused on geometric approaches to studying random walks with topological constraints, which are used to model polymers.*

*My art is often inspired by the mathematics that arise in my research and teaching, but more generally I enjoy turning interesting and non-trivial mathematics into art."*

► Visit his website: https://shonkwiler.org/

#Mathematics, #Art, #Geometry, #OsculatingCircles, #Animation

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**Resonance clock**

*“Life is a full circle, widening until it joins the circle motions of the infinite.”*

**~ Anaïs Nin**

Work by +bigblueboo

#math #processing #animation

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#CirclesCounted:

Bees & Bombs is letting us count again ;)

https://beesandbombs.tumblr.com/post/163256181074/hue-strip

**84**Bees & Bombs is letting us count again ;)

https://beesandbombs.tumblr.com/post/163256181074/hue-strip

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**Sum of Interior Angles of a Triangle**

A simple and captivating visualization that helps us to understand dynamically the triangle postulate, in Euclidean geometry.

► Source>> http://www.mathwarehouse.com

#Mathematics, #EuclideanGeometry, #EducationalAnimations

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