Grotesque Geometry II

Blutac.....when you aren't watching
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why are coalholes round?
1.it fits any way round
2. it can't fall through hole
3. easy to roll it aside
4. uses minimal material
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the heart shaped wood c.1814
(this is real)
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how to draw a straight line
Used in the air pumps in world's first airconditioned building, the Houses of Parliament, London
The Peaucellier cell 1864
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town and country
Sierpinski carpet - Cesaro Sweep
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how to draw a spiral
picture shows stairs in the Monument, London
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super ellipse
|x|n + |y|n = 1
n = 2 gives a circle, becomes square as n increases
shown above n=3.5 & n=2.5
Piet Hein
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Kepler's drawings of decorated polyhedra.
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A trimorphic tile, this Seal makes three tilings
i. p2 symmetry
ii. Voderberg spiral
iii. p6 symmetry