A NEW
MONOHEDRAL HEXAMORPHIC PROTOTILE

Eurípedes Alves da SILVA[1]

§ ABSTRACT:
By a monohedral plane tiling Ã we mean one in which each tile is congruent (directly
or reflectively) to one fixed set P, called a prototile ofÃ . We
say that the prototile P admits the tiling Ã . A prototile
admiting, up to congruence, precisely r monohedral tilings is said to be
r-morphic. For it positive integer r, r £ 10, there exists a r-morphic prototile (
Fontaine & Martin (1983a 1983b, ^{ }a

§ KEYWORDS:
Monohedral plane tilings; monohedral polymorphic prototiles; polymorphic
transformations.

[1]Departamento de Matemática - Instituto de
Biociências , Letras e Ciências Exatas - UNESP - São José do Rio Preto - SP -
Brasil.