# Algebra

## Ripple wave

**T**his is my first water ripple experiment. I found a function on Youtube and had a quick experiment. The ripple effect is not perfect but could be a good start for whoever is interested to refine it.

- Andy's blog
- Login or register to post comments
- Read more
- 677 reads

## 3D function with ElevationGrid

**I** have been thinking about 3D graphing using ElevationGrid for a while and finally got time to demonstrate here. Previously, I have blogged about 3D plotting and ElevationGrid, This blog is simply taking the same maths function f(x,z) = x*z^3-z*x^3 in the 3D plotting blog and apply to the ElevationGrid object.

- Andy's blog
- Login or register to post comments
- Read more
- 1404 reads

## VAM Temple project

**T**he **VAM Temple project** was completed by 3 primary school students (Year 5, aged 9) in 2003, using the archived VRMath 1.0 application. The Logo program they wrote at the time can still run in the new VRMath2 Editor with few modifications. You can try to recreate it in the VRMath2 Editor, by openning the vam_temple.logo in the Logo Editor and executing the program.

- Andy's blog
- Login or register to post comments
- Read more
- 1248 reads

## An attempt at using recursion

**A**ll of my projects to date have required step by step instructions (some upwards of 300 lines of code!), so I decided to have a go at working out how to create a recursive code. After studying "Cayley graph 3D" working out in my head how the code was constructed, I was finally able to start my own. The following is based on an image of

**Cayley Graph of the Free Product Z _{3} * Z_{5}**

_{After much trial and error I was able to develop ...}

- Knoblauch's blog
- Login or register to post comments
- Read more
- 1021 reads

## Cayley graph 3D

**I** was in the keynote session of AAMT conference. In the keynote, the mathematician Hanna Neumann was mentioned. I immediately googled and started reading about her on Wikipedia.

While reading, my thoughts are like the hyperlinks that go everywhere, then suddenly I saw and clicked into the Graph theory, where I found the Cayley graph that caught my attention.

It is easily recognisable that this cayley graph is a fractal image, which can be produced with a simple recursive procedure in VRMath2's LOGO language.

- Andy's blog
- Login or register to post comments
- Read more
- 4388 reads

## Recursive 2D fern leaf procedure

**I**n my previous blog, I explained about a recursive tree procedure. Here is another one borrowed from Joshua's Logo Interpreter example: fern leaf procedure. This fern leaf procedure creates a 2D fern leaf in VRMath2's 3D space. You can examine it below in the 3D space with the LOGO program.

- Andy's blog
- 2 comments
- Read more
- 111150 reads

## Recursive 2D tree

**O**ne of the powerful abilities of LOGO programming language is its recursive execution of procedure. Recursive call of procedure means a procedure calls itself until an exiting condition is met. A recursive procedure can be very simple yet it can produce complex and beautiful mathematical graphics such as fractal images and naturally occurring objects.

- Andy's blog
- Login or register to post comments
- Read more
- 3170 reads

1 day 13 hoursago46 weeks 1 dayago46 weeks 4 daysago46 weeks 4 daysago