[Arjen Markus] (24 april 2015) I had never heard of this formula before it turned up in the chatroom. [aspect] mentioned [https://www.reddit.com/r/programming/comments/33lt61/the_everything_formula_just_when_you_thought/cqmxtc3]%|%this post%|%, which contains a neat implementation in Tcl/Tk. More can be found on the [http://en.wikipedia.org/wiki/Tupper%27s_self-referential_formula]%|%Wikipedia page%|% - of course with all the references you need to really understand it. The script below is taken from the reddit page, as posted by "kramk". ====== #!/usr/bin/env tclsh package require Tk package require Img #fconfigure stdout -buffering none namespace eval tupper { proc image {im w h k expr} { for {set i 0} {$i < $w} {incr i} { for {set j 0} {$j < $h} {incr j} { set x $i set y [expr {$j + $k}] #puts -nonewline [expr $expr] if $expr { $im put [list #00f] -to [expr {$w - $i}] $j } yieldto after 2 [info coroutine] } #puts "" } return $im } } # set expr { ($y / 17) * 2 ** (-17 * $x - $y % 17) % 2 } # int (2 ** -x) is 0, so use >> to preserve bigint form set expr { (($y / 17) >> (17 * $x + ($y % 17))) & 1 } set k 960939379918958884971672962127852754715004339660129306651505519271702802395266424689642842174350718121267153782770623355993237280874144307891325963941337723487857735749823926629715517173716995165232890538221612403238855866184013235585136048828693337902491454229288667081096184496091705183454067827731551705405381627380967602565625016981482083418783163849115590225610003652351370343874461848378737238198224849863465033159410054974700593138339226497249461751545728366702369745461014655997933798537483143786841806593422227898388722980000748404719 set w 106 set h 17 set im [::image create photo -width $w -height $h] pack [label .l0 -text "Tupper's self-referential formula"] -expand yes -fill x pack [label .l1 -text $expr] -expand yes -fill x pack [label .l2 -image $im] -expand yes -fill x pack [button .exit -command exit -text "Close"] coroutine main tupper::image $im $w $h $k $expr ====== <>Category Mathematics|Category Toy