• The 17 plane symmetry groups
  • Introduction to Wallpaper Patterns Description
  • Example tiling for each group, with dynamic demos of properties
  • Overview with example tiling for each group
  •  Tess, a nagware tessellation program for multiple platforms, supports all wallpaper, frieze, and rosette groups, as well as Heesch tilings.
  • Kali, free graphical symmetry editor available online and for download.
  • Inkscape, a free vector graphics editor, supports all 17 groups plus arbitrary scales, shifts, rotates, and color changes per row or per column, optionally randomized to a given degree.
  • Arabeske is a free standalone tool, supports a subset of wallpaper groups. 
  • Polyhedra 
  • The World of Escher - http://www.worldofescher.com/
    The web site to explore the great M.C. Escher artworks. Each image has commentary and a zoom mode.     
  • Geometric Sculpture of George W. Hart - http://www.georgehart.com/sculpture/sculpture.html
    The geometric sculpture of George W. Hart displays the beauty of mathematical forms in various media.     
  • Synergetic Geometry - http://www.newciv.org/Synergetic_Geometry/
    Richard Hawkins' digital archive.     
  • Religious Beliefs Made Visual: Geometry and Islam - http://www.askasia.org/frclasrm/lessplan/l000030.htm
    A lesson plan. Constructs a geometric motif from Islamic art, and gives its cultural context.     
  • Ken Snelson - http://www.grunch.net/snelson/
    The art and tensegrity sculptures of Ken Snelson.     
  • Super Shapes in 3D - http://astronomy.swin.edu.au/~pbourke/surfaces/supershape3d/
    Gives explanation of the superformula used to create various images, which is based on equations by Johan Gielis. Page includes galleries and shareware software downloads.     
  • Math Art Gallery - http://www.math.ru.nl/knopen/art_gallery.html
    Knots, surfaces and fractals.     
  • Sculptures by Carlo H. Séquin - http://http.cs.berkeley.edu/~sequin/SCULPTS/sequin.html
    Includes photos of knots and tangles, mathematical models of surfaces, and stereolithography models.     
  • Stewart Dickson's Art Page - http://emsh.calarts.edu/~mathart/
    Includes image galleries of 3-D images, a paper on tactile geometry, resume, virtual reality project and diversions.     
  • Art Geometry and Abstract Culture - http://www.cs.berkeley.edu/~sequin/ART/
    Computer Graphics, Art, Math, Geometry, and Abstract Sculpture are closely related. These activities are trying to transcend the boundaries between the fields. With images of models and sculptures.     
  • Un-disassemble-able Object by Jack Snoeyink - http://www.cs.ubc.ca/nest/imager/contributions/snoeyink/sculpt.html
    A sculpture representing research results on the number of hands that a robot would need to assemble collections of simple geometric objects.     
  • Tips and Tricks to Gothic Geometry - http://www.newyorkcarver.com/geometry/geometry.htm
    Full explanatory diagrams for constructing your own rose window, ogee arch, and trifoil tracery.     
  •  Tom Lechner's Sculptures - http://www.re.org/tom/sculptures/sculptures.html
    Polyhedral sculptures for sale. Also includes his memoirs of making polyhedral models, math references, and his art school thesis.     
  •  Polynomiography - http://www.polynomiography.com/
    Features images based on polynomial equations. Includes online drawing software, along with user's tutorial.      
  • Islamic and Geometric Art - http://www.geometricdesign.co.uk/
    A personal journey through aspects of geometric art with particular reference to Islamic design. The site includes full descriptions and methods for building often complex structures.     
  • GeomeTricks - http://www.geometricks.com/
    Explore complex geometric structures based upon the 'basic joint'; an interconnectable joint composed of four intersecting sets of three triangular prisms. Includes assembly instructions, sculpture photographs and interactive virtual 3D models.     
  • Mathematics and Art Project - http://www-uk.hpl.hp.com/brims/art/
    A collaborative project that brings together mathematicians from Hewlett-Packard's Basic Research Institute (BRIMS) with artists, attempting to create a synthesis of their ideas. Includes a gallery, events calendar, and discussion articles.     
  • Geometry Gallery - http://world.std.com/~vwright/gallery.shtml
    Spatial designs by Vedder Wright.     
  • Symbolic Sculpture and Mathematics - http://www.cpm.sees.bangor.ac.uk/sculmath/
    Photos of sculptures by John Robinson, and description of the mathematics behind them by Ronnie Brown.     
  • Polyhedra and other Interesting Structures - http://www.pendred.net/
    Home made polyhedra and other constructions with interesting structural properties, specifically tension and rigidity.     
  • Triple Rotation Curves (3R-curves) - http://3r-curves.czweb.org/
    Generalization of 2R-curves (hypotrochiods and epitrochoids). Create line-art images by setting variables for a hypothetical planet, moon and satellite.     
  •  http://www.cut-the-knot.org/ - Interactive Mathematics Miscellany and Puzzles
  • Cycloids
  • Peano curves :Plane Filling Curves
  • Chromatism: a discipline which lies at the confluence of mathematics and art. The work of Edward S.May