[Keith Vetter] : 2006-08-28 : Here's a visual puzzle: count the number of children
in the picture then slide the scale to the other side to swap the top halves. 
Now how many children are there?

[AMG]: Arrgh, I sprained a ligament in my brain!

[HJG] Added a checkbutton to show hints.
----
 ##+##########################################################################
 #
 # Vanishing Child
 # by Keith Vetter, August 28, 2006
 
 package require Tk
 
 set S(title) "Vanishing Child"
 set S(step) 0
 set S(help) {
 Count how many children are in the picture.
 Then slide the scale to the other side to swap the top halves.
 Now how many children are in the picture?}

  proc Hint1 {w} {
  #: Hints: number the childs

    if {$::cb == 0} {.c delete "h"; return}

    $w create text -280  -66 -text  "1" -tag "h r"
    $w create text -240  -20 -text  "2" -tag "h"
    $w create text -200   -1 -text  "3" -tag "h"

    $w create text -140  -40 -text  "4" -tag "h"
    $w create text  -90  -10 -text  "5" -tag "h"

    $w create text  -45  -70 -text  "6" -tag "h r"
    $w create text    5  -25 -text  "7" -tag "h"
    $w create text   45  -10 -text  "8" -tag "h"

    $w create text  115  -60 -text  "9" -tag "h"
    $w create text  150  -10 -text "10" -tag "h"

    $w create text  210  -66 -text "11" -tag "h r"
    $w create text  245  -38 -text "12" -tag "h"
    $w create text  290  -10 -text "13" -tag "h"

    $w create text  -25  100 -text "14" -tag "h"
    $w create text  195   95 -text "15" -tag "h"

    .c itemconfig "r" -fill red
  }

 proc DoDisplay {} {
    global P S
 
    wm title . $S(title)
    canvas .c -width 750 -height 420 -bd 2 -relief ridge -bg green4
    ShadedText .c 0 -120 deepskyblue black \
        -font {Times 42 bold} -anchor s -tag title -text $S(title)
    bind .c <Configure> {ReCenter %W %h %w}
    CreateImages
    
    .c create image $P(vc,x) $P(vc,y) -image ::img::vc -tag vc -anchor nw
    foreach {x0 y0 x1 y1} [.c bbox vc] break
    .c create rect $x0 $y0 [incr x1 -1] [incr y1 -1] -outline black
    .c create image $P(vc1,x1) $P(vc1,y1) -image ::img::vc1 -tag vc1 -anchor nw
    .c create image $P(vc2,x1) $P(vc2,y1) -image ::img::vc2 -tag vc2 -anchor nw
 
    frame .bottom
    scale .sc -from 0 -to 100 -orient h -variable S(step) \
        -command WhereTo -showvalue 0
    button .? -text "?" -command About
    .? config -font "[.? cget -font] bold"
    checkbutton .cb -text "!" -command [list Hint1 .c]
    .cb config -font "[.cb cget -font] bold"

    pack .bottom -side bottom -fill x -expand 1
    pack .sc  -in .bottom -side left -expand 1 -pady 10
    place .?  -in .bottom -relx .99 -rely .5 -anchor e
    place .cb -in .bottom -relx .01 -rely .5 -anchor w
    pack .c -fill both -expand 1 -side top
    
 }
 proc ReCenter {W h w} {                   ;# Called by configure event
    set h2 [expr {$h / 2}] ; set w2 [expr {$w / 2}]
    $W config -scrollregion [list -$w2 -$h2 $w2 $h2]
 }
 proc CreateImages {} {
    global P S
 
    image create photo ::img::vc1
    image create photo ::img::vc2
 
    ::img::vc1 copy ::img::vc -from   1 1 240 136
    ::img::vc2 copy ::img::vc -from 240 1 619 136
    ::img::vc put [.c cget -bg] -to   1 1 619 136
 
    set w  [image width  ::img::vc]
    set h  [image height ::img::vc]
    set w1 [image width  ::img::vc1]
    set w2 [image width  ::img::vc2]
 
    set P(vc,x)   [expr {-$w/2}]                   ;# Where vc goes
    set P(vc,y)   [expr {-$h/2}] 
    set P(vc1,x0) [expr {$P(vc,x) + 1}]            ;# Where vc1 starts
    set P(vc1,y0) [expr {$P(vc,y) + 1}]
    set P(vc1,x1) [expr {$P(vc,x) + $w - $w1 - 1}] ;# Where vc1 ends
    set P(vc1,y1) $P(vc1,y0)
    set P(vc2,x0) [expr {$P(vc,x) + $w - $w2 - 1}] ;# Where vc2 starts
    set P(vc2,y0) $P(vc1,y0)
    set P(vc2,x1) [expr {$P(vc,x) + 1}]            ;# Where vc2 ends
    set P(vc2,y1) $P(vc1,y0)
 }
 # See http://wiki.tcl.tk/ShadedTextOnCanvas
 proc ShadedText {w x y fg bg args} {
    set cbg [ $w cget -bg ]
    eval [list $w create text $x $y -fill $bg] $args
    eval [list $w create text [incr x -2] [incr y -2] -fill $cbg] $args
    eval [list $w create text [incr x -1] [incr y -1] -fill  $fg] $args
 }
 proc About {} {
    set msg "$::S(title)\nby Keith Vetter, August 2006\n$::S(help)"
    tk_messageBox -message $msg -title "About $::S(title)"
 }
 
 proc WhereTo {args} {
    global P S
    set xpos $S(step)
    set ypos [expr {$S(step) <= 50 ? $S(step) : 100-$S(step)}]
 
    set x [expr {$P(vc1,x0) + ($P(vc1,x1) - $P(vc1,x0)) * $xpos / 100.0}]
    set y [expr {$P(vc1,y0) + $ypos}]
    .c coords vc1 $x $y
    set x [expr {$P(vc2,x0) + ($P(vc2,x1) - $P(vc2,x0)) * $xpos / 100.0}]
    set y [expr {$P(vc2,y0) - $ypos}]
    .c coords vc2 $x $y
 }
 
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 ################################################################
 DoDisplay
 
 return

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[Category Optical Illusion] -
[Category Toys]