Snowflake Symmetry Types Gallery


Angel Dance - 2


Hedge - 41


Possibilities - 184


Satin Composition - 325


Satin Composition - 361


Composition L - 332


Composition L - 367


L System Star H - 128


Foliage - 31


Quonset HHH - 74


Railing HHH - 133


Rails HHH - 134


Hexgosper - 162


L System Star P - 129


L-system Tree - 158


Waterfront 1 - 146


L-system Tree 2 - 157


Workplace - 161


Fine Lace - 1


Pinkpetals Q - 66


Sun Squared - 93


Incoming - 98


treeform - 238


August - 266


Yellow August - 296


Frosty1 - 241


Frosty2 - 262


Composition G - 305


Composition G - 341


Sky Composition - 318


Pinks - 326


Sky Composition - 354


Pinks - 362


Bricks - 274


Smoke Filled Room - 22


Woodwards Assym - 104


Yard - 106


Bearing QH - 108


pods - 179


Gorgeous - 201


October Tree 1 - 222


Cobble - 307


Cobble Invert - 308


Dawn - 312


Cobble - 343


Cobble Invert - 344


Dawn - 348


Scylla and Charybdis - 4


Barb - 8


Cordovan Flox - 20


Cris - 21


Empties - 26


Cross-Sectional - 29


Cool Mint Flavor - 35


Ken - 42


Alley - 45


Lizard Dance - 47


Candy Hearts - 50


Electric Sky - 52


50s Print - 54


Outgrowth - 78


Do-Si-Do - 79


Shadow - 82


Ken - 111


Atrium QHH - 115


Atrium QHHH - 117


Thornton Tile - 152


October Tree 2 - 223


Assymetric Toonies - 231


Foliage2 - 261


Spiral 1 - 291


Composition E - 303


Composition E - 339


Bathwall - 10


Brick Circle - 14


Quonset QHHH - 76


Wet Walk - 102


smashed - 125


Escalator QHHH - 127


Puddle And Pole - 131


Summer - 143


Bars - 209


Blue Tiles - 212


Ceiling - 213


Central - 214


Milk Crates - 216


Fall Colors - 219


October Tree 3 - 224


Broken - 247


Treeform - 250


Foliage1 - 251


Wetpath2 - 260


Double Happiness - 276


Waterfront 2 - 147


Pink - 226


Hall - 278


Bench - 271


1940s - 13


Cage - 16


Moorish Tile - 30


Goose - 38


Reflect - 181


Building - 246


Banana - 267


Bluetree - 273


Hearts - 279


Peaches - 282


Rain A - 284


Rain - 285


Walk - 295


Composition H - 306


Dawn Sky - 313


Composition J - 315


Composition H - 342


Dawn Sky - 349


Composition J - 351


Gaol - 36


Grass - 39


Mirror - 60


Pentagonal - 65


Deceptively Simple - 96


Tree - 97


Woodwards - 105


Chainlink QPP - 110


Tree QHP - 141


Pillars - 145


Centre - 160


Structure - 165


Steel - 174


Thistle - 175


Thistle Tessalation - 176


Green - 196


Palm - 225


Toonies 2 - 230


Composition K - 324


Composition K - 360


Backpack - 5


Diamond Dasies - 25


Evoving Shapes - 27


Hedge 2 - 40


Mama - 51


Bearing QHH - 109


Heather - 118


Pink - 120


Chile 76 QHPH - 126


Path QHPH - 130


Rail QHPH - 132


Armandnav - 148


Cordovan Facade - 149


Thornton Geese - 153


Smoke - 166


Augbark - 167


Inversion - 169


Bars - 170


Window - 172


Pole - 180


Cobbles - 187


Shop at Dawn - 188


Fallen Leaves - 192


Early Fall - 193


Green 2 Inverted - 194


Green 2 - 195


Mulberry - 197


Ramp - 204


Garden in September - 205


Shadow - 206


Central - 215


Dawn - 217


Lawn - 221


Quarters - 227


Toonies - 229


Toonies - 232


Rogers 2 - 235


Spring Corner - 90


Bath - 9


Birds on a Wire - 12


Wet Path - 233


Redcar - 244


Reflection QHPPH - 135


Sun Is Coming - 189


Tree - 207


Spiral 2 - 292


WindowWall - 61


Silver - 323


Silver - 359


Treeform2 - 253


Treeform - 256


Bubbles - 298


Bubbles - 334


Composition B - 300


Discovery - 328


Composition B - 336


Discovery - 364


Chrome - 275


Treeform - 245


Treeform2 - 248


Bark - 268


Street o Gold - 293


Seat - 289


Red - 319


Red - 355


Dusky Daw - 58


Stellar Focus - 63


Pinkpetals QP - 67


Breaking the Surface - 95


Deep Inside - 103


Bed - 269


Composition D - 302


Composition D - 338


Ent World - 46


Close Encounter - 56


Starburst - 57


Composition C - 301


No Colour - 327


Composition C - 337


No Colour - 363


Pennsylvania Dutch - 3


Moorish Dome - 19


Dead Tree 1 - 23


Dead Tree2 - 24


The Entrance - 28


Fresh Leaves Assym - 32


Fresh Leaves Blend - 33


Fresh Leaves - 34


Livestock - 49


Puddle - 59


Sharpening Focus - 62


Barb and Cris 2 - 64


Port Entrance - 72


Science World - 80


SFU - 81


Spring - 89


Simple edge - 91


Target QPH - 138


Descend - 164


Hells Gate - 171


Bouquet - 173


Brickflower - 178


Mural - 198


Oil on Water - 199


Cookshack - 18


Texture - 94


VAG Stairs - 100


VAG Stairs 2 - 101


Sluice - 151


VAG1 - 11


Target QPHP - 139


Bench - 185


Blue Rail - 186


Target QPHPH - 140


Byantine Floral - 15


Milky Way - 37


Howard and Pat - 44


Pinkpetals QPP - 68


PinkTree - 71


Organic - 84


VAG - 99


Main Station - 123


Stair - 121


Sky Blend - 85


Sky 1 - 86


Sky 2 - 87


Cafe Window - 144


Shady Bricks - 150


Driveway - 155


Driveway 2 - 156


title - 159


Blinds - 177


Overhead - 190


Fallen Leaves - 191


Rails Asymmetric - 202


Rails - 203


Window Box - 208


Driveway 2 - 218


Colonial Porcelain - 17


Pinkpetals QPPP - 69


Quonset QPPP - 77


Siding - 83


Steel - 92


Wrinkles - 107


Grass - 113


Leaves - 119


Sky QPPP - 136


Skytrack QPPP - 137


Belfry - 154


Pool - 168


BlueCorner 4 - 210


BlueCorner - 211


Flower - 220


rogers - 234


Pillar - 236


Treeform - 239


Frosty - 243


Dawn - 264


Frosty - 258


Redcar - 242


Treeform - 249


Station - 122


Pepper - 283


Light - 240


Spiral - 88


Plaid - 48


Treeform - 265


Morn - 252


Morn - 263


Roger Tree - 288


Tree - 321


Tree - 357


MandCusp - 280


MandelCusp - 316


MandelCusp - 352


Red Pepper - 287


Puddle 2 - 73


Blue - 297


Blue - 333


Dawnfog B - 311


Dawnfog B - 347


ShrinkWrap - 290


Wrap - 322


Wrap - 358


Barb and Cris - 6


Barb and Cris Tiled - 7


Orange - 281


Extreme - 317


Extreme - 353


Composition A - 299


Composition F - 304


Cover - 309


Composition A - 335


Composition F - 340


Cover - 345


Red - 286


Warmth - 330


Warmth - 366


Nikstai - 255


Composition I - 314


Composition I - 350


Treeform - 254


Skylamp - 257


Dodecagon - 259


Treeform - 294


GreenYellow - 277


Hexagonal - 53


Tangled Web - 55


Quonset HHH Tiled - 75


Empties Tiled - 112


Mama Tiled - 114


Howard and Pat - 43


Pinkpetals Seed - 70


title - 163


Park Path - 200


Dawmfog A - 310


Composition K - 320


B&W - 329


Dawmfog A - 346


Composition K - 356


B&W - 365


Bench A - 270


Bench - 272


Smashed Tess - 124


Belfry - qppp - 154
This page shows the snowflakes arranged by symmetry types. I use 6 types; 5 rotational symmetries and a simple translation symmetry

I have q - which stands for quad which is taking a square and then making a mirror image horizontally and lining the squares up and then taking that whole thing and flipping it vertically. This creates a bigger square that is very symmetric arond the centre lines.

I have p - which stands for pent - which involves taking a section of an image that is a 72 degree isosceles triangle that can be rotated and matched 5 times.

I have h - which stands for hex - which is much like pent but uses triangles that can be rotated 6 times by 60 degrees.

I have t - which stands for tri - which is much like pent but uses triangles that rotate 3 times.

I have d - which stands for dec - which is like pent but uses triangles that rotate 10 times.

The images that you see that are over all involve translation where I take snowflakes and fill a plane with them. The hexagonal ones tile a plane perfectly but the pentagonal ones have an aperiodic tiling.

To make the snowflakes I start with a photograph as a seed and then extract and combine chunks repeatedly - the string of characters after the title shows the transformations in the picture and the order they occured in.