Tessellation Project

Tessellations

Our project for the 4th grading period is about tessellations. We will create Escher-like tessellations. 

There will be tutorials on how to create tessellations.
 

The transformation concepts of translation, reflection, and rotation will also be discussed.
 
Tutorials on tessellations can be downloaded at the school computer lab—including the rubrics.

Meanwhile, here are some links for additional information and tutorials on tessellations. Don’t forget to visit M. C. Escher’s and Marjorie Rice’s websites.
 
Recommended:
http://tessellations.org/
 
Tessellation images and information:
http://www.mathsisfun.com/geometry/tessellation.html
http://42explore.com/teslatn.htm
http://homepage.mac.com/efithian/Geometry/Activity-12.html
http://library.thinkquest.org/16661/gallery/thumbnails.html
http://42explore.com/teslatn.htm
http://en.wikipedia.org/wiki/Uniform_tiling

How tos:
http://homepage.mac.com/efithian/Geometry/Activity-12.html

The Official M.C.Escher Website:
http://www.mcescher.com/

Marjorie Rice’s website:
http://tessellations.home.comcast.net/~tessellations/

Tessellation software online:
http://www.mathsisfun.com/geometry/tessellation-artist.html
http://ejad.best.vwh.net/java/patterns/patterns_j.shtml

How to Make an Escher-esque Tessellation
http://www.youtube.com/watch?v=212XC1zfxXY

Origami

Here are some samples of origamis submitted by St. Augustine class.

Project #2: Origami – The Art of Paper Folding

Your second project is about origami. The details of this project can be downloaded at our Geometry website, Origami Project #2.pdf

Here are some helpful links on the origin and history of origami. You can also find illustrations and instructions on how to fold origami projects in these links.

http://library.thinkquest.org/27458/nf/origami/history.html
http://www.origamiwithrachelkatz.com/origami/origami.htm
http://www.origami.as/Info/history.php
http://www.origami-instructions.com/history-of-origami.html
http://www.origami-usa.org/
http://dev.origami.com/diagram.cfm (many examples are available here)
http://www.origami.com/folders_web.html
http://www.teach-nology.com/crafts/origami/
http://www.origamicorner.com/orre.html

http://www.associatedcontent.com/article/1511868/a_brief_history_of_origami.html?cat=4

http://origami.ousaan.com/library/historye.html
http://www.youtube.com/origamicorner

All links open in a new tab or window.

A Journey through Geometry

This is how we are going to deal with our Geometry subject. First, we will discuss points, lines, planes, and space (we already did). Then, we will discuss the basics of polygons and triangles.

With this introduction to triangles, I will walk you through the introduction to Two-Column Proofs. Then, we will discuss parallel and perpendicular lines, and continue to plane and solid geometry. The illustration below summarizes our topics and lessons for the school year.

Our projects will focus through the real-world applications of Geometry; one project for the first grading period, another one for the second and third grading period which is about origami; the project for the fourth grading period is about creating tessellations.