Sauerbruch Hutton colours

Sauerbruch Hutton's 2008 Museum Brandhorst, München:

Sauerbruch Hutton's 2005 Umweltbundesamt (Federal Environment Agency), Dessau:

Sauerbruch Hutton's 1999 GSW Hauptverwaltung, Berlin:

Schuster: Monochrome Diaries + Portal To Nowhere

For his Monochrome Diaries series, Callum Schuster ground mundane everyday objects into particles and suspended them in acrylic or varnish to form his paint.  Schuster previously at O'Born Contemporary, Toronto 2013:

Schuster's infinity mirror Portal To Nowhere at O'Born Contemporary, Toronto 2013:

Missing Colors

Jürgen Paas's latest exhibition is currently showing at Zürich's A|B|Contemporary.  Too bad I cannot be there.  I miss Paas's vibrant colours and geometry ...

Tate circles

Dadamaino at Tate Modern, London 2013:

Cy Twombly at Tate Modern, London 2013:

Richard Long at Tate Modern, London 2013:

Sciarrino: stanzas of light and shadows

Jennifer Rose Sciarrino at Daniel Faria Gallery, Toronto 2013:

Marman & Borins: shredded

I saw them at New York's C24 Gallery in 2011.  Now in Toronto, Jennifer Marman & Daniel Borins's Shredded Rectangle and Shredded Square at Georgia Scherman Projects:

Thank you for the tips, C.  I look forward to Marman & Borins's exhibition of new works at the Art Gallery of Hamilton opening next month.

Eintritt

Agathe de Bailliencourt's solo exhibition Eintritt at General Hardware Contemporary, Toronto 2013:

If you think de Bailliencourt's paintings are brilliant, wait until you see her installations in architectural and public spaces.  They are like her paintings exploded into three dimensions.  Thank you, N, for bringing us this dazzling show.  I hope de Bailliencourt's site-specific works will come to Toronto some time in the near future.

Brueghel Project/Casa Malaparte

Ian Kiaer at Tate Modern, London 2013:

Fahren fahren fahren auf der Autobahn

Rirkrit Tiravanija's Untitled 2010 (All The Days On The Autobahn) at Hamburger Bahnhof, Berlin 2012:

Swift car in south London, 2013:

I remember seeing Kraftwerk live at south London's Brixton Academy in 2004 - part of their Maximum Minimum tour.

The Acquired Inability To Escape + Nataraja

Damien Hirst's The Acquired Inability To Escape and Bridget Riley's Nataraja at Tate Britain, London 2013:

Down

From the group exhibition Up-Down-Sorry-Now, Juan Carlos Noria's Down series at Robert Kananaj Gallery, Toronto 2013:

Thank you for sharing your insights, R.

Face Time/Visa-Age

Wanda Koop at Arsenal Contemporary/Division Gallery, Toronto 2013:

Visage's Visa-Age, 1980:

Video from dyonisos38a's youtube channel

RSA2048

My last couple of days in Waterloo have been mathematically immersed.  Now back in Toronto, I need another dose of mathematics to satisfy my craving ...

The RSA numbers are a collection of large numbers, each of which can be factored into exactly two large primes.  They were created in 1991 to encourage research in computational number theory.  The RSA Factoring Challenge was a challenge to factor the RSA numbers.  The largest among all RSA numbers, RSA2048, has 2048 binary digits (or 617 decimal digits).  It is one of the many RSA numbers which are yet to be factored:

25195908475657893494027183240048398571429282126204 03202777713783604366202070759555626401852588078440 69182906412495150821892985591491761845028084891200 72844992687392807287776735971418347270261896375014 97182469116507761337985909570009733045974880842840 17974291006424586918171951187461215151726546322822 16869987549182422433637259085141865462043576798423 38718477444792073993423658482382428119816381501067 48104516603773060562016196762561338441436038339044 14952634432190114657544454178424020924616515723350 77870774981712577246796292638635637328991215483143 81678998850404453640235273819513786365643912120103

97122822120720357                                .

Fermat's little theorem

Fermat is among the most prominent figures in the history of number theory.  One of the elegant properties about numbers he discovered is known as Fermat's little theorem, which states that if p is a prime number, then for any integer a, the number a ^p − a is divisible by p:

a ^p ≡ a (mod p).

An alternative version of Fermat's little theorem states that if a is not divisible by p, then the number a ^p − 1 − 1 is a multiple of p:

a ^p − 1 ≡ 1 (mod p).

Fermat's little theorem was proved by Euler and can be generalized by Euler's theorem: if a and n are relatively prime, then

a ^φ(n)  ≡ 1 (mod n),

where φ(n) is the number of integers between 1 and n that are relatively prime with n.  Euler's theorem form the basis of the RSA encryption system.

Powers of 2

2⁰ = 1

2¹ = 2

2² = 4

2³ = 8

2⁴ = 16

2⁵ = 32

2⁶ = 64

2⁷ = 128

2⁸ = 256

2⁹ = 512

2¹⁰ = 1024

2¹¹ = 2048

2¹² = 4096

2¹³ = 8192

2¹⁴ = 16384

2¹⁵ = 32768

2¹⁶ = 65536

2¹⁷ = 131072

2¹⁸ = 262144

2¹⁹ = 524288

2²⁰ = 1048576

2²¹ = 2097152

2²² = 4194304

2²³ = 8388608

2²⁴ = 16777216

2²⁵ = 33554432
...

2048 is a special number not only because it is a year we could possibly experience in our lifetime but also because it is the largest known power of 2 with all its digits even.

Reflections On Space

Nathaniel Rackowe's fluorescent light tube sculptures at Bischoff/Weiss, London 2013: