resources

This page contains resource files associated with posts from http://mathrecreation.blogspot.com/.

Feel free to send comments to dmackinnon1[at]gmail[dot]com :)


A sliceform template, generated from sliceformstudio
pdf here

TinkerPlots Exploring Multiples game
here

Sonobe Origami Instruction page
pdf here

Phyllotaxis colouring page
pdf here

Some GSP Fractals
sketchpad file here.

Tintin - Calculus Affair printable
printable poster here

Processing - Spiral drawing

Zip file with processing source here.

Kixote puzzles (knight's tour): sets 1 and 2

Set 1 (two puzzles and solutions)

Set 2 (three puzzles and solutions)

Graph paper booklet 1 - isometric dots, tumbling blocks, detached squares

Ulam number spirals

Multiplication Table with Star Polygons

Esher-inspired GSP activities

GSP activity 1 (plane tiles with reflective symmetry)
GSP activity 2 (lizard tiles)

Triangulating Polygonal Numbers

Available here and here.

Catalan Number Triangle

This file contains data for drawing the Catalan Number Triangle with actual values and the values mod 2.

This file contains the data loaded into TinkerPlots, and shows the 'slanted Sierpinski' fractal

This file displays Pascal's triangle with the middle and adjacent-to-middle terms highlighted.

The discrete logistic population model
This fathom file implements the discrete logistic population model

The sum of digits raised to themselves, 1-4999

This text file contains data for the function that takes a number n, and calculates the sum of its digits, raised to themselves

Nested Twisted Squares - GSP Iteration

Simson Wallace Line and Steiner Hypocycloid

A GSP file to go along with this post.

Gambler Fallacy - two Fathom files

Here are two Fathom documents for exploring the gambler's fallacy. The first has the simulation, the second has the simulation along with some tables and plots.

Simple Harmonic Motion, Lissajous Figures, Adding Sines

This gsp file includes several constructions involving trig functions and circular motion, as mentioned in this post.

Arithmetic, Geometric, and Harmonic Means Construction

This gsp file shows a construction for the arithmetic, geometric, and harmonic means of two line segments.
gsp file

Processing code for Scrambler Fractal

A simple Processing program to draw the fractal described here. Copy and paste from the text file.

GSP Hypocycloids and Epicycloids

Resource file for this post.
gsp file

GSP Origamics - Turned Up Parts (TUPs)

Resources for this post.
turned up parts gsp file
turned up parts solution gsp file

Colourful Multiplication Tables

Fathom and TinkerPlots files for exploring an mxm multiplication table - see this post.

fathom file

tinkerplots file 

Number Spirals and Polygonal Numbers in Fathom

fathom (version 2.11) file

File for exploring polygonal numbers along a quadratic number spiral, as described in this post.

Modeling Phyllotaxis in Fathom

fathom (version 2.11) file

File for phyllotaxis-like images as described in this post.

Random Walks in TinkerPlots

tinkerplots file

A random walks simulation that lets you choose the turning angle.

tinkerplots file

A random walks simulation  where the walker faces only North, South, East or West.

See the description in this post.


Conditional Probability Simulation in Fathom

fathom file
A simulation that explores the phenomenon of 'false positive' medical tests as described in this post.

Drawing Polygonal Numbers in TinkerPlots

Draws polygonal number diagrams (2-dimensional) as described in this post.

Digits of Pi in TinkerPlots

tinkerplots file
A pi "quilt" in TinkerPlots, as described in this post

10000 digits of pi (text file)
This is an a format for importing directly into Fathom or TinkerPlots, and was used for this post.

Pascal's Triangle in TinkerPlots

tinkerplots file
Pascal Triangle diagram in TinkerPlots, including its modular patterns. Full instructions for how to implement this is found in my April 2009 Mathematics Teacher article.
The article is available for download here.
 

Monty Hall in Fathom

fathom file
This is a slightly different from the version described in this blog post.

Window Patterns in GSP

gsp file
Some examples of "window patterns" as iterations in GSP, as described in this post.

Drawing Regular Connected Star Polygons in TinkerPlots

Draws regular, connected polygons of the form {p/q} in TinkerPlots, as described in this post.

A Spherical Tetrahedron Model

A template for constructing a spherical tetrahedron, as described in Wenniger's Polyhedron Models, and in this post.

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phylo2.ftm
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pi_10000.txt
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polygonal_dm_v1.tp
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polygonal_number_spiral_dm2.ftm
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polygons_dm_v1.tp
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quad_spiral1.zip
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random_walks_90_degree.tp
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random_walks_various_angles.tp
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scrambler_fractal.txt
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sonobe.pdf
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trig_shm_lissajous_v1.dm.gsp
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tup.gsp
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tup_solutions.gsp
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ulam_99x99.tp
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ulam_99x99.txt
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wallace_line.v1.gsp
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