mathrecreation

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 :)


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.

Attachments (29)

  • Multiplication.ftm - on Jun 12, 2009 12:52 PM by Dan MacKinnon (version 1)
    17k Download
  • ahg_means_v1_dm.gsp - on Sep 18, 2009 7:13 AM by Dan MacKinnon (version 7 / earlier versions)
    5k Download
  • conditionalprob_dm_v1.ftm - on Mar 19, 2009 1:08 PM by Dan MacKinnon (version 1)
    130k Download
  • epi_hypo.gsp - on Aug 29, 2009 8:09 PM by Dan MacKinnon (version 5 / earlier versions)
    16k Download
  • gambler_fallacy.ftm - on Sep 14, 2009 6:20 PM by Dan MacKinnon (version 1)
    32k Download
  • gambler_fallacy_complete.ftm - on Sep 14, 2009 6:20 PM by Dan MacKinnon (version 1)
    45k Download
  • golden_rhombus_2.pdf - on Mar 31, 2009 3:45 PM by Dan MacKinnon (version 1)
    9k View Download
  • iterations1.gsp - on Nov 3, 2009 9:20 AM by Dan MacKinnon (version 1)
    3k Download
  • monty_hall_dm_v1.ftm - on Mar 13, 2009 5:54 AM by Dan MacKinnon (version 2 / earlier versions)
    353k Download
  • multiplication_mxm.ftm.tp - on Jun 12, 2009 12:52 PM by Dan MacKinnon (version 1)
    56k Download
  • pascal_tp_dm.pdf - on May 1, 2009 3:14 PM by Dan MacKinnon (version 1)
    1234k View Download
  • pascal_triangle_dm_v1.tp - on Mar 13, 2009 5:38 AM by Dan MacKinnon (version 1)
    89k Download
  • phylo2.ftm - on May 12, 2009 7:22 PM by Dan MacKinnon (version 1)
    70k Download
  • pi_10000.txt - on Mar 27, 2009 12:58 PM by Dan MacKinnon (version 1)
    29k Download
  • pi_dm_v1.tp - on Mar 13, 2009 12:51 PM by Dan MacKinnon (version 1)
    325k Download
  • polygonal_dm_v1.tp - on Mar 13, 2009 5:55 PM by Dan MacKinnon (version 1)
    237k Download
  • polygonal_number_spiral_dm2.ftm - on May 22, 2009 12:34 PM by Dan MacKinnon (version 1)
    193k Download
  • polygons_dm_v1.tp - on Mar 13, 2009 6:45 PM by Dan MacKinnon (version 1)
    1170k Download
  • profile1.jpg - on May 14, 2009 8:10 PM by Dan MacKinnon (version 2 / earlier versions)
    4k View Download
  • random_walks_90_degree.tp - on Apr 30, 2009 6:57 PM by Dan MacKinnon (version 1)
    92k Download
  • random_walks_various_angles.tp - on Apr 30, 2009 6:58 PM by Dan MacKinnon (version 1)
    322k Download
  • rhombic_hexecontahedron.pdf - on Apr 18, 2009 6:10 PM by Dan MacKinnon (version 1)
    30k View Download
  • scrambler_fractal.txt - on Sep 3, 2009 9:19 AM by Dan MacKinnon (version 1)
    2k Download
  • spherical_tetrahedron1.pdf - on Mar 30, 2009 6:21 PM by Dan MacKinnon (version 1)
    8k View Download
  • trig_shm_lissajous_v1.dm.gsp - on Sep 10, 2009 6:37 PM by Dan MacKinnon (version 1)
    23k Download
  • tup.gsp - on Aug 20, 2009 6:58 AM by Dan MacKinnon (version 1)
    8k Download
  • tup_solutions.gsp - on Aug 20, 2009 6:59 AM by Dan MacKinnon (version 1)
    10k Download
  • wallace_line.v1.gsp - on Sep 23, 2009 9:51 AM by Dan MacKinnon (version 1)
    4k Download
  • window_patterns_dm_v1.gsp - on Mar 13, 2009 1:03 PM by Dan MacKinnon (version 1)
    52k Download