Archive for the ‘Mathematics’ Category

Intersection of 3 planes at a point: 3D interactive graph

solution of a system of 3x3 equations is intersection of 3 planes
This 3D planes applet allows you to explore the concept of geometrically solving 3 equations in 3 unknowns.

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Conic sections interactive applet

Conic sections interactive applet
This interactive applet allows you to explore the concept of slicing a cone by a plane at various angles and positions, resulting in conic sections.

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New 3D interactive graph

3D interactive graph applet - background
I recently added a 3D interactive graph which you can use to explore the x-, y- and z-axis system.

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Roller Door Problem and Polymath Software

polymath roller door problem
Here's a numerical solution to an earlier problem we discussed involving a roller door.

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How to find the equation of a quintic polynomial from its graph

Given a quintic curve, how to find the function?
A quintic curve is a polynomial of degree 5. Given such a curve, how do you work backwards to find the original function expression?

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Squaring the circle - a reader’s approach

Squaring the circle
Here's a reader's approach to the age old problem of finding a square with the same area as a given circle, called "squaring the circle"

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Butterfly map of the world

Butterfly map of the world
The butterfly map of the world is based on Reuleaux triangles. This article explores some of the story behind this interesting map.

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Reuleaux triangles

Reuleaux triangles
Reuleaux triangles have a property similar to circles - they have constant diameter when rotated.

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Is a 1×1 matrix a scalar?

Is a 1x1 matrix really a scalar?
A 1×1 matrix is often regarded as a scalar quantity, but is that correct? This article explores a reader's question.

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Wallis, pi and quantum theory

Wallis Product - new proof by quantum mechanics
A quite remarkable new proof of the 400 year-old Wallis Product approximation for π has recently been published. It arises from a study of the quantum mechanics of a hydrogen atom.

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