Grotesque Geometry II

 


 

Blutac.....when you aren't watching

 

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

the heart shaped wood c.1814

(this is real)

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

town and country

Sierpinski carpet - Cesaro Sweep

how to draw a spiral

picture shows stairs in the Monument, London

 

 



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

Kepler's drawings of decorated polyhedra.

 

 

 

 


A trimorphic tile, this
Seal makes three tilings

i. p2 symmetry

ii. Voderberg spiral

iii. p6 symmetry