17

It's a well known fact that the proper fractions with denominator 7 are recurring decimals which share the same digits appearing cyclically:

1/7 = 0.142857
2/7 = 0.285714

3/7 = 0.428571

4/7 = 0.571428

5/7 = 0.714285

6/7 = 0.857142

It turns out that the 7ths are not the only fractions whose decimals exhibit this cyclic property.  So are the 17ths:

1/17 = 0.0588235294117647
2/17 = 0.1176470588235294
3/17 = 0.1764705882352941
4/17 = 0.2352941176470588
5/17 = 0.2941176470588235
6/17 = 0.3529411764705882
7/17 = 0.4117647058823529
8/17 = 0.4705882352941176
9/17 = 0.5294117647058823
10/17 = 0.5882352941176470
11/17 = 0.6470588235294117
12/17 = 0.7058823529411764
13/17 = 0.7647058823529411
14/17 = 0.8235294117647058
15/17 = 0.8823529411764705
16/17 = 0.9411764705882352

In fact, there are infinitely many of them: 7, 17, 19, 23, 29, 47, 59, 61, 97, ...  You must have noticed that they are all prime numbers.  They are called full reptend primes (which has 10 as their primitive roots, for those of you, like me, who are interested in algebraic number theory).

Jenkins surrealism

Couldn't say I love this show but his sculptures, which recall René Magritte and other art historical imagery, make the show quite interesting.  Mark Jenkins currently at Arsenal Contemporary, Toronto:

Sky Leaks

Scott McFarland from his solo exhibition Sky Leaks currently at Division Gallery, Toronto:

Melancholy in bloom

The melancholic beauty of fragility ... or fate:

Anderson vs Urban

Hurvin Anderson at the AGO (Art Gallery of Ontario), Toronto 2016:

David Urban at General Hardware Contemporary, Toronto 2016:

Emerge

Fischerspooner's Emerge, 2001:

From properelectro's youtube channel

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:

Distance Paintings + Moments

Charles Goldman from his solo exhibition 4X4X4X4 currently at Birch Contemporary, Toronto:

Distance Paintings:

From his Moments series:

Irrational ^ Irrational

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

It is not known which irrational numbers x and y would make x^y rational.  But it can be easily proved that such rational x^y 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 x^y where both x and y are irrational.

In pursuit of mathematical order

Gary Kuehn at Hamburger Bahnhof, Berlin 2015:

Hanne Darboven at Hamburger Bahnhof, Berlin 2015:

Ryszard Wasko at Żak | Branicka, Berlin 2015:

Vlatka Horvat at Żak | Branicka, Berlin 2015:

Great Lake/Small City

Video stills from Vid Ingelevics's  Great Lake/Small City currently showing at Richmond-Adelaide Centre, Toronto:

Architectural compositions 2

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

Architectural compositions

I like using architectural fragments to create abstract compositions.  All pictures were taken in Toronto, 2017:

Monday Night

Goto80's Monday Night from his latest album Floptrik just released yesterday:

Video from CPU Records' youtube channel

Geminix

From his 2015 album ＿|￣|○, Goto80's Geminix:

From GOTO80's SoundCloud channel

Red landscape + golden landscape

Steve Driscoll at Angell Gallery, Toronto 2017:

Decim8d landscape:

Size Matters

Their Size Matters series is currently showing at McMichael Canadian Art Collection.  I would love to see the show but it's a bit far; so I'd have to drive.  A sneak peek of Finn O'Hara and Steve Driscoll now at Angell Gallery, Toronto:

Delta Flowers

Daniel Hutchinson from his current show Delta Flowers at Angell Gallery, Toronto: