1. Above -
What theorem? Right: Near perfect 'Stonenoids' on top of a circular ellipsoid.
2. Above -
used in a more dangerous game. Right: This finely constructed granite panelled monument in Lennox Street Port Elizabeth
is the closest in kind, shape wise, to his his theorems models that Swannie has seen.
4. Below -
more ratios to be had.) Centre: It leads to Art in red. Right: Only guess which colour is more or perhaps less.
j5. Above -
Yangma. One of the three identical parts of the cube is shown slightly raised. The shapes also
appear in Exercise 5.3 in S K Stein's Calculus and Analytic Geometry, 4th Edition, McGraw-
centre: A 'moons in red' ceation.
(near Port Elizabeth) only two were over 70. Swannies, now 75 also did it when he was 60
and is looking foreward to attempt it again if he turns 90-
6. Above -
right: projected and
7. On the left: re-
left: How may times, in area, is the red square bigger than the green square? (no calculation!)
Note, another square can fit in nicely in the open ring.
centre: A clue.
right: Use Pythagoras and r squared to 'see' the area ratio between the two circles.
9. Above: Left: With two squares, four oblongs
and eight triangles you build a
Right: Four each of three different
shapes (a square and two different
diamonds/rhombi) makes a dodecahedron.
10. On the left: It begins , it happens/grows
and it ends.
On the right: Near cuboid, near cone/hyper
boloid, near Lady Grey. All built mainly with
SiO4 tetrahedrons and bigger 'blocks' up to
Si6O18. (Dana's Textbook of Mineralogy 1951)
Reference: See Contributors under
Arty Models. Much about them on the
Net. / The Oxford Mathematics Study
Dictionary comes in handy. / On the
spot reference to text books.
11. Another beginning to end story (for
any grannies that may be reading this):
On the left: In a baby show he won a second prize
for girls which, being honest, his mom declined
Undermost/the End: Swan song comming up?
Hopefully not Yet!
2012 addition: Squaring/ Moron? Next Page
ANTHING NEXT? -
2012: SEE next page SQUARING.