Essay 20 - Best in Class

This page compiles a listing of what I term as a ‘best in class’ tessellation, in which I compile a table and nominate an Escher-like tessellation as the best in a specific category, or subcategory. The premise of this compilation is to challenge you, dear reader, to admire high quality tessellation, and if at all possible better these with your own efforts. The various categories are as follows, in rough order of importance, specifically of Nos. 1-5; those lower than that listing have uncertain placements in this regard:

  1. Animals, excluding birds and fish (save for specific breeds), of a single creature, such as dogs
  2. Human figures, in variety of poses, such as chefs
  3. Inanimate objects, such as cars
  4. Fantasies, such as angels
  5. Heads, such as cats
  6. Cartoon characters, such as bugs bunny
  7. Specific tiles, such as the ‘Cairo tiling’
  8. Two motifs themed, such as dog and rabbit (dogs chase rabbits)
  9. Two motifs not themed, such as dancers and rabbit (no connection)
  10.  Miscellaneous, i.e. none of the above

Of the examples, some of these have more than one instance of view. For instance, the dog has four, of profile, looking back and running, as well as sitting and standing. Note that not all views are to be regarded as the same intrinsic worth, this depending on how we typically view them. In the animal category, the most recognisable orientation is preferred, with others of a lesser regard.  For example, quadrupeds are ideally seen from the side, rather than the front, although both views are acceptable. In contrast, insects are best seen from above.

The tables below gives a wide range of motifs that I consider to have shown to have a Escher-like tessellation as to some degree of worth, in that primarily by silhouette alone these are instantly recognisable. For each distinct motif, alligator, badger etc., I credit the artist who I consider has the ‘best in class’ tessellation, along with a link to the picture. On occasions, choosing a single favoured instance between competing tessellations was not an easy task; many instances of excellent, if not superb have of necessity been left out by this ruling. However, the motifs here should not necessarily be compared as against each other on equal terms. Some examples are decidedly weak, and have only been included for the sake of including a ‘best in class’ of that category. For example, Christine Shearer’s ‘Pigs’ and ‘Pandas’, of relative poor quality really only qualify due to her having no competitor in these categories. That said, these are still of some degree of worth, and so are included.

Of note here is that I omit generic birds and fish in the listings. Simply stated, these are amongst the easiest motifs to compose (discussed below), and generally lack a challenge. However, one should not dismiss birds and fish as a challenge out of hand, as they can be made ‘worthwhile’ if they are of a specific instance, such as an eagle or swan, and so therefore I thus include here in the listings below examples of this specific type, rather than of a generic bird or fish.

Another reason for this compilation is to try and move the artist away from birds and fish as the choice of motif. A noteworthy challenge in tessellation, to in effect test one’s skills, is to compose a wide range of different motifs (and ideally in different poses), and not just settle for the easier and commonly to be found birds and fish. As such, the latter pairing can be said to lack challenge, in that their outlines are so ambiguous that, within reason, many tessellating shapes can, with a bit of imagination made to be bird or fish-like with relative ease. In contrast, other motifs, of more ‘restrictive’ outlines, pose more of a challenge, and so can be said to be of more worth. Furthermore, as they are of a relatively ‘scarce’ nature, they have a certain ‘novelty value’, and so are thus are more interest than the above more commonly found motifs.

Agree/disagree? E-me.

Animals

 Motif                          Artist Source
 Alligator/Crocodile Araki http://britton.disted.camosun.bc.ca/maowani.gif
 Ant Escher http://eschersite.com/eschersite/Escher_Watercolor_86.html
 Badger Crompton http://www.cromp.com/pages/tess2.html
 Bee Nicolas See book, p 151 
 Bat Wyniger 
 Beetle Nakamura See site above: Animals, Insects 4
 Bird - Eagle Osborn  
 Bird - Flamingo Nakamura See site above: 
 Bird - Kiwi Williams http://tessellation.info/en/info/artists/12/d/471/Kiwi
 Bird - Swan Escher http://eschersite.com/eschersite/Escher_Watercolor_96.html
 Bison Nakamura See site above: Animals, Bison
 Butterfly Escher http://eschersite.com/eschersite/Escher_Watercolor_12.html
 Camel Escher http://eschersite.com/eschersite/Escher_Watercolor_6.html
 Cat - Frontal Nakamura See site above: Animals, Cats
 Cat - Profile Nakamura See site above: Animals, Cats
 Cow Edwards http://www.xed.ch/tess/tess10.html
 Chameleon Nakamura See site above: Dinosaurs [sic], Chameleons
 Chicken Nakamura See site above: Birds, Chicken 1
 Crab Escher http://eschersite.com/eschersite/Escher_Watercolor_117.html
 Deer Nakamura See site above: Animals, Deer
 Dinosaur Nakamura See site above: Dinosaur,
 Dog (Looking Back) Nicolas http://parcellesdinfini.free.fr/images/oxomaxi.png
 Dog (Running) Nakamura See site above: Animals, Dog 1
 Dog (Sitting) Escher http://eschersite.com/eschersite/Escher_Watercolor_16.html
 Dog (Standing) Escher http://eschersite.com/eschersite/Escher_Watercolor_97.html
 Dolphin Crompton http://www.cromp.com/pages/tess2.html
 Elephant Nakamura See site above: Animals, Elephants
 Fox Nakamura See site above: Animals, Foxs [sic] 1
 Frog - plan view Nicolas http://parcellesdinfini.free.fr/images/cairofrogmaxi.png
 Frog - side view Nakamura See site above, Fish [sic], Frogs 2
 Frog - symmetrical Nicolas See book, p. 88
 Gazelle Nakamura See site above: Animals, Gazelle 2
 Giraffe Rausen http://4.bp.blogspot.com/-1JaxJu_qdPg/UpBH3NUdv5I/AAAAAAAABzY/ZqnLoYreZmE/s16
 Goat Nicolas See book, p.77
 Gorilla (Frontal) Nicolas See book, p.33  
 Hedgehog Crompton http://www.tarquingroup.com/products/576/large_576.jpg
 Hen Crompton See poster
 Horse Nakamura See site above: Animals,Horses 2
 Jaguar Ribault http://www.artluxultra.com/jaguar.php
 Jellyfish Sef http://www.spoonflower.com/fabric/987684
 Kiwi Williams http://www.dtw42.supanet.com/Escheriana.htm
 Kangaroo - Profile Bilney http://www.ozzigami.com.au/tessellations/
 Kangaroo - Frontal Raba http://raba.mathkang.org/dossierRaoul.html/zoo/a-zoo/pages/01-zoo_gif.htm
 Koala Bilney http://www.ozzigami.com.au/tessellations/
 Lion Nakamura See site above: 
 Lizard Escher http://eschersite.com/eschersite/Escher_Watercolor_15.html
 Lobster (Asymmetrical) Crompton http://www.cromp.com/pages/tess2.html
 Lobster (Symmetrical) Bilney See site above
 Mouse Nakamura See site above: Animals,
 Monkey Nakamura See site above: Animals,
 Numbat Bilney See site above
 Octopus Nicolas See book, p.29
 Panda Shearer http://tessellation.info/en/info/artists/13/p/395/Panda
 Platypus Bilney See site above
 Penguin Nakamura See site above: 
 Pig Shearer http://tessellation.info/en/info/artists/13/d/399/Piglet
 Rabbit Nakamura See site above: Animals, Rabbits 3
 Rats Nakamura See site above, Animals, Rats 1
 Reindeer Nakamura See site above: Animals, Reindeers [sic]
 Reptile Escher http://eschersite.com/eschersite/Escher_Watercolor_25.html
 Sea Horse Escher http://eschersite.com/eschersite/Escher_Watercolor_11.html
 Seal Wyniger http://www.wyniger.de/95253/671247/portfolio/lets-tessellate
 Sheep Nakamura See site above: Animals, Sheeps [sic]
 Spider Nakamura See site above: 
 Squirrel Escher http://eschersite.com/eschersite/Escher_Watercolor_7.html
 Starfish Sef http://www.spoonflower.com/fabric/1910540
 Turtle Wyniger http://henkwyniger.prosite.com/5562/438012/gallerie/turtle-island
 Wasp Nicolas http://parcellesdinfini.free.fr/images/waspmaxi.png
 Whale (Killer) Lefelhocz http://home.frognet.net/~janos1/Tessellations.php
 Whale Sef http://www.spoonflower.com/fabric/3023020
 Wild Boar Nakamura See site above: Animals, Wild Boar 1
 Wolf Nicolas http://parcellesdinfini.free.fr/images/wolfmaxi.png
 Zebra Ribault http://www.artluxultra.com/zebre.php

Human Figures

 Motif Artist 
 American Footballer Teeters 
 Artist Nicolas http://parcellesdinfini.free.fr/images/paintermaxi.png
 Boxer Scalfittura http://nscallfittura.imagekind.com
 Businessman      Nakamura See site above: Mankind, Rush Hour 1
 Chef Scalfittura http://nscallfittura.imagekind.com
 Circus Strongman Wyniger http://henkwyniger.prosite.com/5562/76206/gallerie/circus
 Cowboy Nicolas http://parcellesdinfini.free.fr/images/littlejoemaxi.png
 Clown Nicolas http://parcellesdinfini.free.fr/images/clownmaxi.png
 Dancing Girl Nakamura See site above: Mankind, Dancer 5
 Deep Sea Diver Wyniger http://henkwyniger.prosite.com/5562/1153184/gallerie/metamorphose
 Diver Nicolas See book, p.84
 Fakir Nicolas http://parcellesdinfini.free.fr/images/fakirmaxi.png
 Gangster Scalfittura http://nscallfittura.imagekind.com
 Golfer Scalfittura http://nscallfittura.imagekind.com
 Guitarist Nicolas http://parcellesdinfini.free.fr/images/guitaristmaxi.png
 Ice Skater Nakamura See site above: Mankind,
 Jester Nicolas http://parcellesdinfini.free.fr/images/bowmaxi.png
 Judo Nicolas See book, p 87
 Karate Nicolas See book, p.17
 Knight Scalfittura http://nscallfittura.imagekind.com
 Marilyn Monroe Hannah https://uk.pinterest.com/pin/501166264759108861/
 Mexico Girl Nicolas http://parcellesdinfini.free.fr/images/mexicangirlmaxi.png
 Party Goer Nicolas http://parcellesdinfini.free.fr/images/partymaxi.png
 Piper Nicolas See book, p.
 Runner Scalfittura http://nscallfittura.imagekind.com
 Skier Nakamura See site above: Mankind,
 Snake Charmer Scalfittura http://nscallfittura.imagekind.com
 Spartan Warrior Scalfittura http://nscallfittura.imagekind.com
 Singer Nicolas http://parcellesdinfini.free.fr/images/singermaxi.png
 Surfer Scalfittura http://nscallfittura.imagekind.com
 Swimmer Nakamura See site above: Mankind, Swimmer 1
 Symmetrical Male Bailey http://www.tess-elation.co.uk/human-figures---an-intro/human-figures-1 No. 2
 Symmetrical Female Bailey http://www.tess-elation.co.uk/human-figures---an-intro/human-figures-1 No.1
 Tennis Player Nicolas http://parcellesdinfini.free.fr/images/tennismaxi.png
 Unicyclist Nakamura See site above: Mankind,
 Waiter Scalfittura http://nscallfittura.imagekind.com
 Witchdoctor Nicolas http://parcellesdinfini.free.fr/images/sorciermaxi.png
 Viking Nicolas http://parcellesdinfini.free.fr/images/vikingmaxi.png


Fantasies

 Motif Artist Source
 Angel Bailey http://www.tess-elation.co.uk/human-figures---an-intro/human-figures-1 No.3
 Angel/Devil Escher http://eschersite.com/eschersite/Escher_Watercolor_45.html
 Devil Nicolas http://parcellesdinfini.free.fr/images/diablotinmaxi.png
 Dragon Fathauer http://mathartfun.com/shopsite_sc/store/html/Art/Dragon%20Morph.html
 Fairy Nicolas http://parcellesdinfini.free.fr/images/papiqueenmaxi.png
 Mermaid Nicolas See book, p. 32
 Pegasus Escher 

http://eschersite.com/eschersite/Escher_Watercolor_105.html

 Unicorn Escher http://eschersite.com/eschersite/Escher_Watercolor_78.html
 Witch Nakamura See site above: Mankind,
 Superman Scalfittura http://nscallfittura.imagekind.com
 Santa Claus Nakamura See site above: Mankind, Santa 3
 Santa/Sled/Reindeer  Scalfittura http://nscallfittura.imagekind.com

Inanimate

 Motif Artist Source
 Arrow Sef http://www.spoonflower.com/fabric/1521340
 Bells Sef http://www.spoonflower.com/fabric/885762
 Boat Nicolas http://parcellesdinfini.free.fr/images/voiliermaxi.png
 Boxing Glove Sef http://www.spoonflower.com/fabric/2588571
 Car Snels http://tessellation.info/en/info/artists/1/p/579/Cars
 Carrot Sef http://www.spoonflower.com/fabric/2117257
 Cherry Sef http://www.spoonflower.com/fabric/2395775
 Chess Knight Nicolas See book, p.85
 Conical Flasks Sef http://www.spoonflower.com/fabric/2270430
 Country - Australia Bilney See site above
 Country - France Crompton 

http://www.cromp.com/pages/tess1.html

 Country - USA Crompton 

http://www.cromp.com/pages/tess1.html

 Country- Great Britain Crompton 

http://www.cromp.com/pages/tess1.html

 Cupcakes Sef http://www.spoonflower.com/fabric/2134872
 Cup and Saucer Sef http://www.spoonflower.com/fabric/2260981
 Fungi Sef http://www.spoonflower.com/fabric/2179397
 Ice Cream Cone Sef http://www.spoonflower.com/fabric/2137481
 Lips Sef http://www.spoonflower.com/fabric/1876412
 Planes - side view Sef http://www.spoonflower.com/fabric/1331360
 Plane - Plan view Sef http://www.spoonflower.com/fabric/1329814
 Playing Card Nicolas See book, p. 28
 Rockets Sef  http://www.spoonflower.com/fabric/1339102
 Roller Skates Sef http://www.spoonflower.com/fabric/661439
 Shell - Scallop Sef http://www.spoonflower.com/fabric/1627756
 Shoe Sef http://www.spoonflower.com/fabric/2605660
 Spade Sef http://www.spoonflower.com/fabric/1923698
 Sphinx Crompton 
 Strawberry Sef http://www.spoonflower.com/fabric/2395776
 Teapot Kaplan http://www.cgl.uwaterloo.ca/~csk/projects/escherization/
 Tennis Raquet Sef http://www.spoonflower.com/fabric/2270069
 Telephone, old Sef http://www.spoonflower.com/fabric/974983
 Test Tube Sef http://www.spoonflower.com/fabric/2270431
 Training Shoe Sef http://www.spoonflower.com/fabric/1627756
 Traffic Cone Sef http://www.spoonflower.com/fabric/1002216
 Wine Glass Sef http://www.spoonflower.com/fabric/1925555

Combinations, Themed

 Motif Artist Source
 Bats/Owls Crompton  http://www.cromp.com/pages/tess2.html
 Birds/Cats Nakamura  See site above, Birds-Cats
 Birds/Fish Nakamura See site above, Birds-Fish 4
 Cats/Fish Nakamura See site above, Cats-Fish 2
 Dog/Rabbit Nakamura See site above, Dogs-Rabbits 1
 Dolphin/Swimmer Nakamura See site above, Swimming 4
 Eagle/Rabbit Nakamura See site above, Animals, Rabbits-Eagles
 Fish/Seahorse Nakamura See site above,
 Hunters/Rabbits Nakamura See site above Animals, Rabbits-Hunters
 Motorbike/Rider (Profile)Leys http://www.josleys.com/show_image.php?image=Escher/escher018b.jpg&name=Bikers
 Mororbike/Rider (Full on) Hannah https://uk.pinterest.com/pin/501166264761795831/

 Shark/Swimmer Nakamura See site above, Mankind, Shark and Woman
 Shells/Starfish Escher http://eschersite.com/eschersite/Escher_Watercolor_42.html

Combinations, non-themed

 Motif Artist Source
 Bird/Gazelle Nakamura See site above, Animals, Gazelles
 Dancer/Rabbit Nakamura See site above, Mankind, Girls/Rabbits
 Horse/Bird Nakamura See site above, Animals, Horses-Birds 3

Heads


Tile Specific

 Tile Motif Artist Source
 Cairo tiling Frog Nicolas http://parcellesdinfini.free.fr/images/cairofrogmaxi.png
 Grunbaum Hypersymmetric Bird Bailey http://www.tess-elation.co.uk/birds---an-introduction/birds-1-1
 Penrose Thin and Thick Rhomb Bird and Fish Bailey http://www.tess-elation.co.uk/penrose-tilings
 Penrose Wheelbarrow Bird Bailey http://www.tess-elation.co.uk/penrose-tilings
 Polya C4 Bird Bailey http://www.tess-elation.co.uk/birds---an-introduction/birds-1-1
 Voderberg Spiral Bird Crompton http://www.cromp.com/pages/tess1.html

Cartoon Characters

 Motif Artist Source
 Bugs Bunny (Head) Prokorov 

http://www.spoonflower.com/fabric/1178072

 Goofy Annal http://www.tessellations.org/mygallery18.shtml
 Woody Wood Pecker Nicolas http://parcellesdinfini.free.fr/images/woodymaxi.png


Miscellaneous

 Motif Artist Source
 Linux Mascot Kaplan http://www.cgl.uwaterloo.ca/~csk/projects/escherization/


Created: 26 June 2010. Updated: 13 July 2010. Last Updated, with considerable revisions and additions of categories, links 17 September 2014. Paul Hannah added 8 March 2016
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