Spirals are a wonderful topic. There are so many ways to create art work with and without a computer.
1. Spirals with equilateral triangles (IT)
![](/files/collabspace/3/63/863/74863/images/c0e0f846_opt.png)
- Spirals with equilateral triangles mBlock Based on Scratch
Learning Unit (IT)/ Studens' results
Equilateral spiral Mblock based on Scratch.pdf
Click on the picture for the Equilater Spiral with Scratch h=[(sqr3)/2]*l (IT)
![](/files/collabspace/3/63/863/74863/images/bb10a2beb_opt.png)
Learning Unit (IT) /Students' results
Squares and spirals_ Mblock based on Scratch.pdf
Click on the picture to view the Square Spiral d=l*(SQR2) IT
![](/files/collabspace/3/63/863/74863/images/b8c9284b_opt.png)
Triangles Spirals and Analytical Geometry (RO&IT) link
2. Spirals - easy created (GER)
- These spirals were easily created by using only 3 basic construction commands. They are dynamic. So students decided to show only a picture of such spirals and ask other students to find out how they are created and describe it.
3. Spirals of Theodorus (Square root spiral)
- Video (tutorial) with 3 steps (Maria - RO)
- Video (turorial) with 4 steps .... (Alexa RO)
4. Spirals by "trace and animate" (GER)
![](/files/collabspace/3/63/863/74863/images/b7b08e36_opt.png)
5. Fibonacci's Spiral (RO)
6. Padovan's Spiral (RO)
![](/files/collabspace/3/63/863/74863/images/b1fd50f3_opt.png)
7. Spirals through dynamic ray (IT)
The video follows a tutorial: "GeoGebra Tutorial 30 – Loci, Roses and Reflections" of Guillermo Battista Mathematics Teacher
This is my idea of a five petal rose using spirals and dynamic ray- by Norma Lisa Neiman (IT)
What happens when a circle constrains two dinamic points inside the diameter and the diameter depends on a bundle of straight line?
After you discover it from the video, enjoy customizing it. Turn your work into an art game- by Norma Lisa Neiman
8. Spiral by paperfolding (GER)
You can use coloured, transparent paper. Then it is a nice decoration for windows.
9. Right angle spiral (CRO)
![](/files/collabspace/3/63/863/74863/images/bd11e331f_opt.png)
9. Equilateral triangle spiral (RO)
Click to see explanations in ggb file
![](/files/collabspace/3/63/863/74863/images/b5a73f13_opt.png)
10. Spirals by polar coordinates (GER)
![](/files/collabspace/3/63/863/74863/images/adba2a07_opt.jpg)
Click to try out in GeoGebra and animate the slider
11. Archimedean Spiral with Excel (IT)
Archimedean Spiral with Excel
Learning Unit (IT) /Students' results
Archimedean Spiral.pdf
12. (Triangle) spirals with Scratch
![](/files/collabspace/3/63/863/74863/images/b510e24bf_opt.png)
a) I cannot embed it. It can be (remixed) modified and downloaded on the Scratch Website. Go there! (GER)
b) Students useed simple Scratch files and learned by remixing files more about Scratch commands. All files are in a so-called Scratch Studio.(GER).
c) More nice spirals with MblockScratch (IT) see No. 1
squares and spirals_ Mblock based on Scratch.pdf
13. 3d spiral (LV)
This spiral has been constructed according rules for a fibonnacci spiral with SketchUP, a 3d software and was then printed by with a 3d printer.
![](/files/collabspace/3/63/863/74863/images/ce12f9d55_opt.png)