M
athematical objects have often been an object of artistic depiction. Of all the painters
dealing with mathematical themes, probably the most famous was the Dutch graphic artist
Maurits Cornelis Escher. In his drawings, he dealt inter alia with the perception of infinity,
tessellations, rendering impossible objects and drawing topologically (math) interesting motifs.
Among the latter,
Knots
are particularly famous.
Some of his drawings are based on the concept of the so-called Penrose Triangle;
(see the top of this page).
It represents an impossible object, created in the 1950s by Lionel Penrose and his son Roger Penrose.
Möbius Strip
Unlike an ordinary strip, which has two sides and two edges, the
Möbius strip has only one side and only one edge. Such a surface was discovered by the German mathematician
August Ferdinand Möbius. Möbius strips have entered our culture in
many ways. It appears as an object of art, as in Escher's
woodcut
Möbius Strip II.
H 15 × W 6 × L 15 cm
walnut
granite base
280 €
Tranquility I
As
Carlo H. Séquin
wrote,
‘Knots fascinate many people, including
sailors, cowboys, sculptors, and mathematicians.’ The sculpture
below is based on the trefoil knot and is made from a single piece
of wood. For mathematical background, see the article
The trefoil knot: From a plane curve to a sculpture.
H 17 × W 14 × L 12 cm
pear wood
black marble base
600 € Sold
Tranquility II
H 17 × W 14 × L 12 cm
lost wax cast bronze
granite base
500 €
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