Isometric Drawing and 3D Cubes

Image Source: http://benswift.com

The above picture is a brilliant piece of computer art by Adobe Flash Programmer Ben Swift.

Go to the following link to see this artwork running, and changing colour in Flash on your computer. (Does not work on iPad).

http://benswift.com/2011/11/pretty-colors/

Isometric Cubes can be used to create a variety of 3D shapes, and are a great tool for learning how to visulaise in 3D.

Isometric drawing with cubes is often covered as part of Geometry topics in Mathematics.

In this lesson we take a quick look at drawing Isometric Cubes, as well as looking at some great online tools for working with 3D using cubes.

Isometric Drawing with Cubes

Image Copyright 2012 by Passy’s World

Making these 3D drawings involves using Isometric Dot Grid Paper, which can easily be obtained from Google Images.

If you want some lined grids then click the following link:

http://mathforum.org/workshops/sum98/participants/sanders/IsomGrid.html

Once we have the Grid Paper we can draw and colour in cubes like those shown above.

This type of drawing is also called “Orthographic Projection”.

Isometric Drawing Videos

Here is a nice short video which introduces the concept of Isometric Drawing.

This next short video shows how to make Isometric Alphabet Letters.

The following video shows how to make an Isometric Cubes Drawing when provided with a Front View, a Side View, and a Top View.

Isometric Drawing Worksheets

The links below are to worksheets we found on the Internet for Isometric Drawing.

Isometric Worksheet 1

Isometric Worksheet 2

Isometric Worksheet 3

Isometric Cubes Drawing Tool

The above online tool is great for drawing Isometric cubes.

it even has a 3D Rotatable Viewer which can be opened in a new window once you have placed a few blocks onto the grid.

It can be accessed at the following link:

http://illuminations.nctm.org/ActivityDetail.aspx?ID=125

Included are full instructions and a lesson on using this Isometric Cubes Drawing Tool at the following link:

http://illuminations.nctm.org/ActivityDetail.aspx?ID=125

http://illuminations.nctm.org/LessonDetail.aspx?ID=L611

Isometric Cubes Counting Game

This is a fun game with a timer to count how many cubes are in each random isometric shape.

Play it at the following link:

http://www.mathplayground.com/cube_perspective.html

Building with Cubes Puzzle

There are ten puzzles to be solved.

On the main entry page, go to “Building with 3 Sides” and then choose the figures to do (there are 10 puzzles). You can move the grey grid square around to help you do views.

Once you play around and get used to how build mode works, it is a lot of fun.

Important tip for beginners – Build the top view onto the base mat first, and then work upwards from there.

Click the link below to go to the web page.

http://www.fisme.science.uu.nl/toepassingen/00724/

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