Saturday, 24 June 2017

Full Spectrum + blended colours

Something for Toronto's Pride weekend ...

Public Studio's public art installation Full Spectrum at Maitland and Church Streets is a commission for WorldPride Toronto, 2014:

Found blended colours in uptown Toronto, 2015:

Friday, 23 June 2017

Thursday, 22 June 2017

Irrational ^ Irrational

I came upon this very clever but simple proof recently ...

It is not known which irrational numbers x and y would make xy rational.  But it can be easily proved that such rational xy exists.  We know that 2 is irrational.  Take, for instance, the number

which must either be rational or irrational.  If it is rational, then we're done.  If it is not, then the number

must be rational.  So either case proves the existence of rational xy where both x and y are irrational.

Monday, 19 June 2017

Architectural compositions 2

More abstract compositions of architectural fragments ... all pictures were taken in London, 2016: