#MathGIF with GeoGebra

Vincent Pantaloni, Jul 13, 2019

Presentation for the GeoGebra Global Gathering in Linz 2019 geogebra.org/m/tvwmdan8 Workshop "Advanced Authoring in GeoGebra" #MathGIF I use GeoGebra 5 for the GIF export, but I learnt recently(*) that it is possible to export in GIF with GeoGebra 6 using the command ExportImage(...). https://wiki.geogebra.org/en/ExportImage_Command (*) yesterday evening actually, thanks Mike ! [url]https://www.geogebra.org/u/michael+borcherds[/url]

Table of Contents

  1. #MathGIF in the classroom
    1. Intro for derivatives.
    2. Basket-ball shoot
    3. Area of a parallelogram
    4. How to...
    5. Triangle de Pascal - construction
  2. Sharing #MathGIF on Twitter
    1. Twitter Logo - scrambled
    2. As a teaser
    3. To share some cool visual maths
    4. To explain things without words
    5. Lissajous visualization
    6. Islamic tiling PIA016 animated
    7. Zoomin' in
  3. Live creation
    1. Golden rectangle zoom step by step

1.

#MathGIF in the classroom

To spark some activity, to give a visual proof.

  • 1. Intro for derivatives.
  • 2. Basket-ball shoot
  • 3. Area of a parallelogram
  • 4. How to...
  • 5. Triangle de Pascal - construction

1.1.

Intro for derivatives.

Part 1 : Animated GIF to use as a teaser to launch the problem.
Part 2 with the graph.
– Vincent Pantaloni

1.2.

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1.3.

–

1.4.

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1.5.

–

2.

Sharing #MathGIF on Twitter

  • 1. Twitter Logo - scrambled
  • 2. As a teaser
  • 3. To share some cool visual maths
  • 4. To explain things without words
  • 5. Lissajous visualization
  • 6. Islamic tiling PIA016 animated
  • 7. Zoomin' in

2.1.

Twitter Logo - scrambled

– Vincent Pantaloni

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

2.7.

–

3.

Live creation

The animation I began to create at the conference.

  • 1. Golden rectangle zoom step by step

3.1.

Golden rectangle zoom step by step

Animated GIF
First step : construct a square (poly1) a a point E. Define phi (the golden ratio) and this sequence in blue.
Step 2
Create [br]F=A + phi (B - A) and G=D + phi (B - A) to construct the red diagonals and their intersection H. [br]When E is in H the puzzle is perfect. [br]Create the circle of center I going through H. [br]Create a slider a =0...1 for the animation.[br]Finally redefine E as :[br]Rotate(H,a*360°,I)[br]to make it rotate around I on the circle.[br]Animate a.
More fun.
Instead of poly1, in the sequence you can put a list of things like {poly1, arc} where arc is the quarter of the circle.
– Vincent Pantaloni

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