Not the Tiles, but the Joints: A little Bridge Between M.C. Escher and Leonardo da Vinci

Rinus Roelofs

A chapter in M.C. Escher’s Legacy, 2003, pp 252-264 from Springer

Abstract: Abstract The regular division drawings of M.C. Escher are considered an important part of his artistic work. He made about 150 basic drawings of regular divisions, some of which were used later in his prints. In almost all of these drawings, it is the tile, the motif, that plays the leading role. However, there are a few exceptions. In his own definition of regular division of the plane, given in Regelmatige vlakverdeling [1, p. 94] Escher says that the tiles should fit tightly together on all sides, so that there is no space between them. In other words, the joint, the grout, the layer of mortar used by bricklayers to cement each stone to an adjacent stone, separates them in practice, but can theoretically be reduced to nothing. Mathematicians would call these joints “edges” of the tiling; edges are never considered to have any width.

Keywords: Color Plate; Color Pencil; Archimedean Tiling; Regular Division; Hyperbolic Pattern (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-28849-7_25

Ordering information: This item can be ordered from
http://www.springer.com/9783540288497

DOI: 10.1007/3-540-28849-X_25

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().