P R E M I S E
Always I was charmed from fantastic world and from the pictures of M. C. Escher, the genius
of impossible perspective, so I decided to realize in real 3D mode a part of M. C. Escher's
2D image called: Band of Union. This is a wonderful image with a woman and a man heads cutted
and merged as they were a band. I tried to reinvent a part of this image, that is the woman
head and to put it on a new background, with a new storyboard. I've written this tutorial in
the most accurate and careful way I could make, so I thought to put noone other image with
this tutorial except for the ending full image, at the bottom of this web page. The program
of this tutorial is Imagine 4.0, Copyright © from Impulse Inc. and it works on PC and AMIGA.
I've written the tutorial with old Dos version, but it can be made also with next version for
Windows 95, 98, etc. You must only remember that, according with the version and with the
computer you are working, it will be changed also the keys you must press togheter to qualify
the various functions I have described in the various phasis of this my tutorial
(Right Amiga Key + Other Keys, or ALT Key + Other Keys, or CTRL Key + Other Keys).
P R O C E D U R E
Open program Imagine 4.0, or a next version, published from Impulse Inc., and go to Project
Editor. Select a New Project (i.e. "Escher") and a New Subproject (i.e. "Esch001"). Set all
the value for your Subproject. After all go to the Detail Editor. First of all you must model
a 3D woman head (i.e. using metaballs) with Imagine 4.0 or you can use a commercial 3D woman
head object as basis for the work. I've used as basis the 3D woman "normal" head object from
Humanoids, a very good commercial 3d human objects packet from Timothy D. Wilson, published
from Crestline Software Publishing ©. Save the 3D woman head into the directory "Objects" of
your project "Escher". Delete the object you have on the screen so that this is empty. Now we
must create first a spiral. Add a Primitive and choise "Disk". Set the values Radius=100 and
Section=36. Select the Disk objetc so that it is blue, then select Pick Point (Alt+3). Select
only the central point of the Disk object. Delete it. Select all the position-negative-values
points of the Disk object (that is all the points under the horizont line in the Front View)
and delete them (Alt+D). Select all the points you have on the screen (Alt+A). Then select
Transformation (Alt+T), click on Rotate and set value Z = -9. Select All (Alt+A). Select
Transformation, click on Position and set the value of Y = -31.1868. Click on Pick object
(Alt+2). Click on Copy object (Alt+C). Click on Paste object (Alt+P). Select Transformation
(Alt+T) click on Scale and set the values Y =-1 and Z =-1. Refresh the screen (Alt+R). Select
all (Alt+A). Click on Join (Alt+J). Click on Merge. Select Mold (Alt+E), click on Extrude and
set the values Length = 0.0001 X-Scaling = 0.5 and Z-Scaling = 0.5. Click on Perform. Now on
the screen you have the first arm of your spiral. Select the object. Click on Copy object
(Alt+C). Click on Paste object (Alt+P). Select Transformation (Alt+T), click on Position and
set the value of Y = 62.3736. Click on Perform. Click on Paste object (Alt+P). Then select
Transformation, click on Position and set the value of Y = -62.3736. Click on Perform. Click
on Paste object (Alt+P). Select Transformation, click on Position and set the value of
Y = 124.7472. Click on Perform. Click on Paste object (Alt+P). Select Transformation, click
on Position and set the value of Y = -124.7472. Click on Perform. Deselect all and after
select the axis of the first arm of the spiral you made. Select all (Alt+A). Click on Join
(Alt+J). Click on Merge. Now you have on screen the whole spiral, but you must extrude it.
Select Mold (Alt+E), click on Extrude and set the value Length=20. Perform it. Now you must
rotate the extruded spiral to put it in the correct position. Select Transformation (Alt+T),
click on Rotate, set the value X = 90. Perform it. Again Select Transformation (Alt+T), click
on Rotate and set the value X = 90, but click also on "Transform Axis Only" (this is to put
again the object axis in the original correct mode). Perform it. Your extruded spiral is
finished! Now you can load the woman head object you've saved at the start. Put the head and
the extruded spiral so that the one intersects the other, but remember that the spiral must
be more big than the woman head object. Select the woman head object and the extruded spiral.
Make Slice (Alt+X). If some message of error shows on the screen, don't worry. "Deselect All"
and after this select only the extruded spiral, select Transformation (Alt+T), click on
Rotate and set the value Y = -0.0001. Perform it. Now select again all the objects on the
screen (Alt+A) and make again the Slice (Alt+X). If it is necessary you can make other
smallest adjustament rotating the Y axis of the extruded spiral object until your slice will
have success. After you made the Slice you must Select all And Delete all the sliced-objects
you don't need. At the end you will have on your screen a woman head cut as when for joke we
cut an apple's bark or an orange's bark continuosly: this is an Escher-mode 3D woman head
object. Now we must extrude internally this woman cut head object. Select Mold (Alt+E), click
on Extrude and set the values Length = 0.0001 and the X-Translate = 200. Perform it. Select
Pick Point (Alt+3), and select also the Pick Method "Drag Box". Select, pressing Shift, all
the points of the head on the left of your screen in the Front view. Select Transformation
(Alt+T), click on Scale and set to 0.9 all the 3 values of X,Y and Z. Perform it. Refresh the
screen (Alt+R) Click on Pick Faces (Alt+5) and select with Shift and Drag Box Pick Method all
the faces of the small head on the left of your screen. Select Make Subgroup and call it as
"Internal". Now, always with Shift and Drag Box Pick Method, select all the faces of the big
head on the center of your screen. Click on Make Subgroup and call it "External". Now select
all the faces you have on your screen of the big and of the small heads (Alt+A). Click on
Unpick Subgroup and deselect first the "External" faces. Repeat this operation again and
deselect also the "Internal" faces. Now click on Make Subgroup and call it "Union". These are
the faces that join the two heads, the small and the big. Now make Pick Points (Alt+3) and
select again all the points of the small head on the left of the Front View. Now you can use
Pick Subgroup and click on Internal and All Points. Select Move (M) only on the Axis X and
bring all selected points to the internal center of the big head. Perform it. Now you have on
your screen the cut head internally extruded. Select this new object and click on Attributes.
Select the Attributes colors to the following values: Red = 255, Green = 153, Blue = 115.
Click on Textures. Select the Texture "Metals 2" and set the values Priority = 1, Metal
Number = 1, Glossines = 1, Finish = 6, Antique = 1. Click on Ok. Click again on Textures.
Select the texture "Specular" and set the values Priority = 2, Key Red = -0.9, Key Green = 0,
Key Blue = 0, and all Three Specular Colors (Red, Green, Blue) to 255, Hardness = 30 and
Intensity = 1. Click on Ok. Click again on Textures. Select the texture "Transparency" and
set the value of Priority = 3 and the value of Trasparency = 1. Click on Ok. Click again on
Textures. Select the Texture "Metals 2" and set the values Priority = 4, Metal Number = 1,
Glossines = 1, Finish = 6, Antique = 1. Set Subgroup = Union. Click on Ok. Click again on
Textures. Select again the Texture "Metals 2" and set the values Priority=5, Metal Number =1,
Glossines = 1, Finish = 6, Antique = 1. Set Subgroup = Internal. Click on Ok. Exit from
Attributes with Ok. Save the object with the name "EndHead.iob". Go to the Stage Editor. Load
the EndHead object and add two lights before the object in the Front View. Set the Zoom = 0.2
and put the first light (=Light1) on the bottom of the Front View at the vertical of the
EndHead object and the other light (=light2) on the bottom of the Front View, but on left of
the EmdHead object. Put the camera before the object in the Front View, but a little on the
left of the Top View. Add an Axis and put it to the centre of the EndHead object. Track the
Camera to this Axis and select Camera View to see if the angle of the visual of your Camera
is correct. Save all addies and modifies you made in Stage Editor and go in Action Editor.
Click on Globals and set all the three values of Ambient to 160. Put all values of Horizon R
and Horizon G to 100, while put all values of Horizon B, +Zenith and -Zenith to 0. Perform
it. Click on Light1 and set all the three values to 210. Click on Ok. Click on Light2 and set
all the three values to 180. Click on Ok. Save Changes and go to the Project Editor. Select
the first frame of your Subproject and render the Picture with Generate. Now load the program
Fractal Poser ©, insert as background the picture you have rendered with Imagine 4.0 and
create seven men models, each in a different pose, using a golden light to make them golden.
Put the seven models each around the bord of the rendered head you now have on the background
of Poser. Save final seven models picture also without background. Load Adobe Photoshop ©,
make new and give same values of width and height of the Imagine 4.0 rendered head picture.
Save it as "FinalPic.psd". Always in Photoshop Use the Filter KPT © "Texture Maker" to create
a golden texture. This will be the final background of the picture. Now load the Imagine 4.0
rendered head picture, click on Select/All and after on Edit/Copy. Now go to "FinalPic.psd"
and click on Select/Paste Layer. Use the Magic Wand in the Tools Menu to cut the useless gray
background of rendered head. Load picture generated from Fractal Poser, click on Select/All
and after click on Edit/Copy. Now go again to the "FinalPic.psd" and click on Select/Paste
Layer. Use again also the Magic Wand in the Tools Menu to cut the useles background of this
layer lefting only seven golden men models. Add a New Layer. Load the font "Musical Symbols"
and write some notes. Using Select Box Tool, you select each note for time and move it on the
board of the head over the seven men models. Now on the screen you must have really the final
picture. Save it with File/Save. Now you have the picture of a real 3D Escher woman cut head.