Math 494.594 Final Project Process
Fall Term 2010

Undergraduate Project (paper) assessment form Graduate Project (paper) assessment form
Undergraduate presenation assessment form Graduate presenation assessment form

Final Project Due Dates Timeline

First--Pick topics : Research a variety of topics chosen from the following list. Pick THREE topics that interest you. Order them; 1, 2 and 3. List them on a piece of paper, add your name to the paper and bring the paper to class on Wednesday, Week 4, 10/20.

Second--Note assigned topic : During or shortly after class on Wednesday, Week 4, 10/20, you will be assigned one topic (undergraduate) or two topics (graduate). These assignments will be posted below.

Third--Find resources : By Monday, Week 6, 11/1, follow item 1--undergraduate or item 1--graduate in the MATH 494.594 FINAL PROJECT directions in your course pack and email Laurie resource references. Approval for these resources (or a request for different resources) will be promptly returned to you by email.

Fourth--Write draft: By Wednesday, Week 7, 11/10, follow item 2--undergraduate or item 2--graduate in the MATH 494.594 FINAL PROJECT directions in your course pack, and email Laurie a draft of your final project paper (two papers for graduate). See the note about the paper drafts in the MATH 494.594 FINAL PROJECT directions.

Fifth--Revise paper: Revise your paper(s) as needed once the draft is returned with comments.

Sixth--Prepare presentation: Follow item 3--undergraduate or item 3--graduate in the MATH 494.594 FINAL PROJECT directions in your course pack, and prepare a presentation for class. The final project presentation schedule will be posted towards the end of the term.

Topic Student Links
Monday, November 29

Koch’s Snowflake

Fallon Dehart

Koch's Snowflake

Finding Infinity in a Snowflake

Koch’s Snowflake (Wolfram)


Möbius strip

Anna Henrikson

The Möbius Strip

MacTutor History: Möbius

Möbius Strip Activities


History of Pi

Jolynn Espinosa

History of Pi

Ask Dr. Math about Pi

Pi Day: A brief history of Pi


Dual Tessellation

Nicole Montano

Dual Tessellation (Wolfram Math World)


Dual Tessellation


Taxicab Geometry

Lizzie Caulley

Taxicab Geometry

Taxi Cab Geometry: History and Applications

Taxicab Geometry: An Adventure in Non-Euclidean geometry, Eugene F Krause (book)


Frieze Patterns

Aly Berg

Transformations and Frieze Patterns

Translation Symmetry and Frieze Patterns (

Frieze Patterns (Relevant examples from Escher's work)


Soma Cubes

Abelardo Garcia

The Soma Cube, A. Huxley, Brave New World

Crazy Cube exhibit

Soma Cubes (ncluding variants)


Fair Dice

Yu Cheng Chou Fair Dice

Math Games Fair Dice



Heron’s Formula

Jonathan Jantzi

Heron’s Formula

Triangle Explorations

A Proof of the Pythagorean Theorem From Heron's Formula



Dani Johnson

"Turning Origami into the Language of Mathematics", Beth Cipoletti and Nancy Wilson, Mathematics Teaching in the Middle School, August 2004, Volume 10, Number 1, pages 26-31.

"Algebraic Thinking through Origami", William Higginson and Lynda Colgan, Mathematics Teaching in the Middle School, Febuary 2001, Volume 6, Number 6, pages 343-349.

"Using Origami to Promote Geometric Communication", Beth Cipoletti and Nancy Wilson, Mathematics Teaching in the Middle School, December 2003, Volume 9, Number 4, pages 222-229.

"Math in Motion: Origami in the Classroom. A Hand-On Creative Approach to Teaching Mathematics", Barbara Pearl



Candice Spring

Fractal Geometry

Fractal (Math World)

Fractals And Fractal Geometry

Fractal Geometry



Matthew Dickson

The Fabulous Flexagons


The Flexagon Portal


Sierpinski’s Triangle (Gadget)

Matthew Smelser

Sierpinski Triangle

Sierpinski's Triangle Activity

The Magic Sierpinski Triangle

Wednesday, December 1

Bucky Balls

Kimberly Noack

Buckyballs: Their history and discovery


The History of Buckyballs


Penrose Tiles

Katie Wallace

Penrose Tiles (Wolfram)

Penrose Tiles (Junkyard)

Penrose Tiles


The Geometry of Baking

Kenneth Piontek

Dutchess Dough Divider

Dough Cutters & Dockers

Revolving Donut Cutters

Rotary Cutters

Pastry Cutters


The Golden Ratio

Nicholas Plotts

Fibonacci Numbers in Nature & the Golden Ratio

Nature, The Golden Ratio, and Fibonacci too ...

Mr. Narain's Golden Ratio Page!


Graduate Paper Topics (not presentation topics)

M.C. Escher

Kimberly Noack Lesson 7 Art part: Escher

M.C. Escher Biography

The Mathematical Art of M.C. Escher

Euclid ’s Elements

Katie Wallace

An Introduction to the Works of Euclid


Euclid. The Elements

Nine-Point Circle

Kenneth Piontek

The Nine-Point Circle

Nine-Point Center, Nine-Point Circle & Euler Line

Circles: A Mathematical View by Dan Pedoe. Chapter 1: Nine Point Circle (book)

Mathematical and Geometrical Explorations of the Nine-Point Circle

Archimedean solids

Nicholas Plotts

Archimedean solids (Wolfram)

The Archimedean Solids

Regular Patterns, Archimedean Solids