**Summary**
[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?


[uniquename] 2013aug17

Here is a sequence of 3 images showing why ligaments in brains are being sprained.

The first image shows the picture of children as they appear when the GUI first
comes up.

You can switch the top-left portion of the picture with the top-right by
sliding the 'scale' button from left to right --- as indicated by the second image.

The completed switch is shown in the 3rd image.
 
[vetter_VanishingChild_wiki16345_left_screenshot_670x327.jpg]

[vetter_VanishingChild_wiki16345_mid_screenshot_672x328.jpg]

[vetter_VanishingChild_wiki16345_right_screenshot_670x326.jpg]

For those interested in the programming to move these images around, note
that the 'WhereTo' proc, in the code below, is being used to move images 'vc1' and 'vc2'.

------
**Code**
======tcl
 ##+##########################################################################
 #
 # 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

    #causes 'expected integer but got "bold"' error on *nix systems.
    #.? config -font "[.? cget -font] bold"

    checkbutton .cb -text "!" -command [list Hint1 .c]

    #causes 'expected integer but got "bold"' error on *nix systems.
    #.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
 }
 
 image create photo ::img::vc -data {
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 ################################################################
 DoDisplay
 
 return
======
----

**Comments**

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

[HJG] Added a checkbutton to show hints.

[AMG]: Even with the hints turned on, I ''still'' don't understand how this can be possible!

[Stu] 2008-11-11 Commented-out code that causes ''expected integer but got "bold"'' error on *nix systems.



<<categories>> Optical Illusion | Toys