Instructor:Rosette Exercises Solutions
From EscherMath
Revision as of 22:52, 22 August 2007 by Bryan (talk  contribs) (Rosette Exercises Solutions moved to Instructor:Rosette Exercises Solutions)
 Castrovalva
 Reflected F
 Rotated F
 A regular polygon with n sides has n reflection lines that meet at the center. If n is even, there are lines that go from each corner to its opposite corner, and each side to its opposite side. If n is odd, all lines go from a corner through the midpoint of the opposite side.
 C4
 C3 or C6 if you ignore the black border diamonds  note the crossed arms destroy any mirror symmetry.
 None. Details of arms destroy the mirror symmetry.
 None.
 C5.
 C6.
 Dali

C1 C2 D1 D2 Not discrete FGJLPR NSZ ABCDEKMQTUVWY HIX O  a. D3; b. D1; c. None; d. D1; e. C3; f. D5
 C2 symmetry is strongly suggested. A 180° rotation interchanges the devil and Jesus. Also, horizontal and vertical reflections change the figures with the goats. Jesus was a scapegoat  a symbol of blame for the problems of his society. Escher suggests the Devil was instrumental in his scapegoating.
 C4. Overlaps prevent D4. The center portion has C8 or even C16 depending on how much you ignore.
 C4. Preserving colors reduces to C2.
 D3.
 C2 is strongly suggested, though not precisely present.
 C3 is strongly suggested.
 C2 symmetry interchanging colors. No color preserving symmetry.
 There is a suggestion of a color interchanging D1 symmetry. But the two sides are not quite the same.
 Draw C2C6, D2D6 with a motif.
 Two rotation centers
 This poem can be read normally, or by reading each column of words downwards.