Engineering

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Mathematics, Programming and STEM

MERGA38 Presentation

This is my first attemp to create a 3D virtual world for a conference presentation. This presentation is for my paper titled "Mathematics, Programming and STEM" published in MERGA 38 conference proceedings.

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Bouncing spring

Bouncing Spring

Bouncing is fun. A spring has potential (elastic?) energy that has many uses in our life. Can you think of any uses? I just had a front suspesion replace in my old car. There are two big springs (or perhaps 4, I did not check back wheels) on top of the two front wheels. The two springs make sitting in the car comfortable by obsorbing forces and only bouncing slightly when driving (on rocky road).

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Interactive Earth Cross Section

Earth Cross Section 2

This is a slightly improve Earth Cross Section model of the previous one, with added animation and some interaction. Previously, the focus was on using VRMath2 Editor to construct the model. This time, the focus is on the learning about the Earth's geo structure. This is one of the main purpose of VRMath2 as a learning community for all to create, share, discuss and learn.

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Earth Cross Section

Earth Cross Section

In the X3DOM mailing list, there was a discussion about constructing solid geometry. One application of solid geometry is to model the cross section of Earth. Unfortunately, solid geometry is not supported in X3DOM. However, the cross section can be achieved by using other geometry available in X3DOM. Here is an example.

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Waves at sea

Sea surface

Following my previous blog about 3D function graphing, I did another experiment to animate the 3D graphs. In this blog, I used the same 3D function f(x,z) = x*z^3-z*x^3 to generate two sets of heights. Then a VECTORINTERPOLATOR (or VECINT) was used to animate this 3D graph. It looks to me like a wave on the sea surface. What do you think?

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3D function with ElevationGrid

3D function

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.

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Analog clock

Analog clock

The TIMESENSOR of X3D is quite a complicated time mechanism to understand. As I have created some commands for easy animation, I thought that it would be interesting to test the TIMESENSOR with an analog clock.

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Hypercube - Tesseract

hypercube

The Tesseract has awaken....

I am always fascinated by the visualisation of 4th dimension or even n-th dimension in our 3D space. The 4th dimension here is not about time, but the beauty of the abstract geometrical dimensions that exist in the mathematical world.

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Helium atom

Helium atom

Since version 0.9.1 of VRMath2 Editor, animation has become quite easy. I have previously made a hydrogen atom and now I can't resist to create the second one in the periodic table, the helium atom.

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Hydrogen atom

Hydrogen atom

I have been contemplating the animation framework and recently implemented a SPIN command to make spin animation easy for even young children. In order to show how to spin objects, I have created this hydrogen atom simulation to demonstrate the SPIN and a few new commands.