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Archive for October, 2009

Math Tricks – Remember Pi

October 27th, 2009 by Math Tricks | 8 Comments | Filed in Math Tricks, Remember Numbers

Math Tricks – How to Remember Pi

What is pi?  Can’t remember pi beyond 3.14?  That’s OK. because there are math tricks to help you remember.  My favorite is this mnemonic:

“How I need a drink, alcoholic of course, after the heavy lectures involving quantum mechanics.”

Each word contains the number of letters for the digit that belongs in that word’s place.  For instance, replace “How” with “3”, “I” with “1”, etc.

Using this math trick, we get:


Of course, you can make up your own mnemonic; if you do, please post your ideas here!

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Drawing a Golden Rectangle

October 21st, 2009 by Math Tricks | 2 Comments | Filed in Golden Rectangle, Mathematics Concepts

Drawing A Golden Rectangle

Drawing a golden rectangle is pretty easy using the technique I will show you here.  I used PowerPoint to draw the rectangle here, but you can use this technique to draw a golden rectangle with just about any drawing program.  If you have a compass and a protractor, then I suggest that you try to draw your rectangle on paper.

First, draw a square.  You do not need to know the dimensions of the square, just be sure that all the sides are of equal length:

making a golden rectangle 1

Next, find the midpoint at the base of the square, and draw a line from the midpoint to the upper-right corner of the square:

making a golden rectangle 2

Now draw a circle with the midpoint of the base as the center.  Expand the circle such that the line from the base midpoint to the upper-right corner is a radial line from the center of the circle to the circle’s edge:

making a golden rectangle 3Now rotate the radial line downward, keeping the edge of the line on the circle:

making a golden rectangle 4Continue with the rotation until the radial line is parallel to the base of the square:

making a golden rectangle 5Remove the circle.  What is left is the square with an extension at the base:

making a golden rectangle 6Draw a rectangle around the base + extension and square height:

making a golden rectangle 7Finally, remove the extension and square.  What is left is a perfect golden rectangle:

making a golden rectangle 8Very easy and neat.  Congratulations, now you can create great works of art by incorporating golden rectangles into you masterpieces!

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