Mathematics Resources by Topic - Space
Symmetry
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examples of symmetry

Snow Crystals - Kenneth Libbrecht
This site is about making snow crystals and snowflakes and includes lots of photographs.
The Snowflake Man
Wilson Bentley photographed more than 5000 snowflakes during his lifetime, not finding any two alike.
mandalas - circular designs involving symmetry with their origins in Tibetan Buddhism

(image created in Tess and adjusted in IrfanView)

ambigrams - a word or words that can be read in more than one way or from more than a single vantage point

<-- rotate 180°, made with Ambigram.Matic

interactive resources and software Flash movie
A shape with order of rotational symmetry 4 and no reflective symmetry and a shape with order of rotational symmetry 2 and 2 lines of symmetry.

SymFace
Upload a photo and see how your face would look if it was perfectly symmetrical.

symmetry by folding and cutting
examples of 1, 2, 3, 4, 6, 8 lines of symmetry

Virtual Fold and Cut
This Java applet lets you fold and cut a square piece of paper. The resulting unfolded shape can be saved as a pdf file.

Kirigami - Kevin Whitley
Kirigami is a Java applet that allows you to cut polygons from the wedge that results after folding a piece of paper. You then see the figure that results when the paper is unfolded. The number of lines of symmetry can be set between 5 and 25.

Symmetry in Architecture - Kim Williams
review of symmetry in architecture and an exploration of why an architect might choose a given symmetry type

mirror curves
designs involving reflective and rotational symmetry by the Tamil women of India and the Tchokwe people of Angola

New designs from Africa - Paulus Gerdes
analysis of mirror curves

Modularity in Art - Slavik Jablan
art based on modules (basic elements) and the use of symmetry

numeracysoftware.com
PowerPoint presentations, worksheets, logo files and other resources on symmetry and tessellations

collection of links - Jill Britton
links for types of symmetry, masks, quilts, polygons, paper folding, soap bubbles, Escher, Islamic tessellations and lots more

resources page - symmetry patterns / groups
Symmetries are transformations that leave a pattern unchanged. For a given pattern, the set of symmetries is called a group. The symmetry patterns / groups page provides lots of resources for these symmetry groups. Examples include rosette, border and wallpaper patterns.