S P H E R I C A L    K A L E I D O S C O P E

I want to propose you my program for drawing on the sphere and
pasting it of paper for children,  artists and education.  All
of us likes ornaments,  therefore artists and designers  adorn
books, clothes, wallpapers etc. with beautiful ornaments. That
is the reason,  why  I  decided  to  make  a  program  to  aid
designing  ornaments.  But it is difficult to invent something
new,  because people create new ornaments  for  many  thousand
years.  However  under impression of works of H.S.M.  Coxeter,
M.J.  Wenninger,  B.  Grunbaum and J.J.  Pederson I  made  the
program: Spherical kaleidoscope.
 Ornament on the spere has  an  inerresting  prorerty:  it  is
infinite while any plane ornament always has its boundary, our
experience decidedly tells about it.  So the spherical  molels
looks  very attractive,  for instance,  the two-colored Mobius
triangles.
 The start of the program is DRAWING.EXE, then press Enter.
 Control of  the  program  is rather simple,  one can learn it
after the short work with it. There is a help to draw circles:
you  can  input  a centre,  then four distances will be on the
screen  from  the  cross  to  the  centre  and  to  its  three
reflections around the sides of the triangle,  and an angle in
the range of 0-360.  A help for drawing a  strip  consists  in
showing  the  width of the strip - the distanse from the cross
to the first side of the polygon when drawing it.
 Children can  design  tesselations of the many famous regular
polyhedra without serious difficaltis,  and print patterns  to
paste their spherical models. One must paste two halves of the
spherical model and then put them together. 
 I hope you'll be pleased with the program.
 Vulihman Valentin,  I  like  geometry  and work many years in
area of geometrical designing of VLSI: routing, layout, design
rule  checking,  I am 51 y.o.  My address:  Moscow 129041,  B.
Perejaslavskaja 10, kw. 120, tel. 280-53-53.





 Moscow,
tel.  280-53-53,  after  21  o'clock,  or   E-mail,   Valentin
Vulihman. Besides I look for a work, I like and know giometry,
routing, placement  and  layout  in VLSI and PWB, I have ideas
and assistants. But I am 52.