Grotesque Geometry I

BUGS

a natural tessellation; this is the graph of part of

sin[x.(cosy - cosx)] + sinx - siny < 0

try it yourself in ""GrafEq""


(thanks to Gary Tupper of Pedagoguery Software )

 





Two into One -

this is weirder than it looks.

discovered by Greg Frederickson, 1972

see his book Dissections Plane & Fancy




Anamorphic Mirror, Manchester, England


 

 


Cornices are Fractals

The Devil's Staircase and a Composite Cornice compared


Scaling over three ranges in a cornice.

(see Environment & Planning B 2002 vol. 29 p.451-459).


 

Architect Sir Edwin Lutyens called 45 degrees the "evil angle".

He prefered gables slightly above or below that pitch,

but his favourite roof pitch was the palindromic 54 degrees 45 minutes,

and since tan 54.45 is root two, the hip of such a roof is at exactly 45 degrees.

 

 

 

Newgate Prison, Architect George Dance the younger, London 1770 - 8,

sometime home to Fagin (Oliver Twist), and Magwich (Great Expectations).

Steadman's graph of depth of spaces shows that the deepest room (arrowed) is 13 doors deep . . .

. . . it is one of the condemned cells.

 

The Mathematics of Hide and Seek

Places children use to hide in an ordinary house.

Space is fractal and expands inwardly. Small people find the world much bigger

(Environment and Planning B 2001 p243-254)

 

eighty eight

phone and mouse: nokia and apple faces



Mussolini, by Bertelli

Imperial War Museum, London