Difference between revisions of "Talk:Rotational and Reflectional Symmetry in Escher’s Sketches"

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(Adding solutions.)
 
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'''Comment about sketch #12''' Note that this sketch of butterflies is tricky! There are several symmetries that are "almost" there. The reflections do not extend over the entire tessellation, and there is not quite 4-fold symmetry. (The decorations on the wings don't work and there's a problem with how the wings overlap as well)--[[User:Barta|Barta]] 12:11, 6 September 2007 (CDT)
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==== Solutions ====
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4. Has reflections.  Rotation: 3 fold at point of cap, 3 fold at left sleeve.
  
This page should be renamed to end with "Exploration". That said, it probably needs a shorter name to make that work. Since
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12. This sketch of butterflies is tricky! There are several symmetries that are "almost" there. The reflections do not extend over the entire tessellation, and there is not quite 4-fold symmetry. (The decorations on the wings don't work and there's a problem with how the wings overlap as well)
these aren't actually Escher's "prints", but his sketches, the name and the word "print" should be changed to "drawing" or "sketch"
 
  
References to page numbers in {{VOS}} should changeInstead, use the sketch template to get: {{sketch|3|weightlifters}}.
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13. Has reflectionsRotation: 4 fold where wings meet.  2 fold where heads/tails meet.
  
Use the VOS template to get {{VOS}}Not so impressive now, but could later link to more info about the book.  Plus, it's a lot easier
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25. No reflection3 fold rotation at right knee, left eye, left back toe.
to type <nowiki>{{VOS}}</nowiki> than Visions of Symmetry everytime.
 
  
--[[User:Bryan|Bryan]] 22:42, 20 March 2007 (CDT)
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35. No reflection. 4 fold where heads/tails come together.  2 fold at left elbow.
  
:I've fixed the use of print, the sketch references, and the VOSThis page still needs to be renamed. Preferably, it should end with Exploration, but certainly it should not have "Print" in the title. [[User:Bryan|Bryan]] 10:52, 25 January 2008 (CST)
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45. Has reflection.  Rotation 4 fold at wing tips.  Order 2 at angel's feet.
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85. Has reflection.  Three different centers of order 3 rotation, where heads come together of each colored animal.
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91. Has reflectionNo rotation.
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Q1. Sketch 44, 57, 99.  You've got to ignore the coloring.

Latest revision as of 16:31, 22 June 2020

Solutions

4. Has reflections. Rotation: 3 fold at point of cap, 3 fold at left sleeve.

12. This sketch of butterflies is tricky! There are several symmetries that are "almost" there. The reflections do not extend over the entire tessellation, and there is not quite 4-fold symmetry. (The decorations on the wings don't work and there's a problem with how the wings overlap as well)

13. Has reflections. Rotation: 4 fold where wings meet. 2 fold where heads/tails meet.

25. No reflection. 3 fold rotation at right knee, left eye, left back toe.

35. No reflection. 4 fold where heads/tails come together. 2 fold at left elbow.

45. Has reflection. Rotation 4 fold at wing tips. Order 2 at angel's feet.

85. Has reflection. Three different centers of order 3 rotation, where heads come together of each colored animal.

91. Has reflection. No rotation.

Q1. Sketch 44, 57, 99. You've got to ignore the coloring.