Analysis of 6 tessellations with lizards in Escher's drawings.

 6 Escher's tessellations with lizards:

 

1 - Lizard tessellation classified here as Heesch 04 CCCC:

 Searching the four nodes and four articulations of the 4 Heesch's 'C' edges:

 

 (Circles in all nodes)
(Stars in center of 180º rotation of C edges)

Rebuilding this lizard tile with Explore Tessellations:

Tessellation based on CCCC:

 

 

 

 

2 - Lizard tessellation classified here as Heesch 09 C3C3C3C3C3C3:

 Searching the six nodes in the original drawing: 

(Double circle in the nodes next to edges under rotation of 120º)

 

Rebuilding lizard C3C3C3C3C3C3 tile with Explore Tessellations:

Tessellation based on C3C3C3C3C3C3:

 

  

3 - Lizard tessellation classified here as Heesch 14 CC4C4:

 Searching the 3 nodes in the original drawing:

(Double circle in the vertex of 90º rotation of 2 C4 edges)
(Cross inside circle in center of 180º rotation of C edge)

Rebuilding lizard CC4C4 tile with Explore Tessellations:

 

 Tessellation based on CC4C4:

    

 

 4 - Lizard tessellation classified here as Heesch 16 CC4C4C4C4:

 

 Searching the 5 nodes in the original drawing:

(Double circle in the vertex of 90º rotation of 2 C4 edges)
(Cross inside circle in center of 180º rotation of C edge)

 

Rebuilding lizard CC4C4C4C4 tile with Explore Tessellations:

 

 Tessellation based on CC4C4C4C4:

 

 

 

5 - Lizard tessellation classified here as Heesch 22 CCGG:

Searching the 4 nodes in the original drawing:

(Circles in all nodes)
(Double circle in articulation of two G flipped edges)
(Stars in center of 180º rotation of C edges)

 

 

Rebuilding lizard CCGG tile with Explore Tessellations:

 

 Tessellation based on CCGG:

  

 

6 - Lizard tessellation classified here as Heesch 22 CGCG:

 Searching the 4 nodes in the original drawing:

 

(Circles in all nodes)
(Stars in center of 180º rotation of C edges)

 

Rebuilding lizard CCGG tile with Explore Tessellations:

 

 Tessellation based on CGCG:

 

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(The classification of Escher Tiles has been done here under the Heesch Classification that you can find at:  http://www.eschertile.com/ )

 

(The rebuild of Escher's tiles has been done here with the android app "Explore Tessellations":  https://play.google.com/store/apps/details?id=com.nummolt.heesch.escher.tiles.tessellations ) 

 

YOUTUBE VIDEO:    6 LIZARDS.

 

 

https://www.youtube.com/watch?v=JtH6ZOWBAM0