Try making patterns with equilateral triangles
Make some patterns with LOGO
Can you write LOGO programs for some beautiful irregular tilings?
Aspiral is a curve formed by a point moving around a
fixed point and constantly moving away from or approaching the
This month, building on the idea that many sets of things can be
placed in a spiral configuration, we consider the following program
based on Fig.1:
TO TRAP :S1 :S2 :ANG
IF :S1 > 100 [STOP]
FD :S1 RT :ANG
FD :S2/SIN :ANG RT (180 - :ANG)
FD :S1 + :S2 * TAN (90 - :ANG) RT 90
FD :S2 RT 90 FD :S1 LT (90 - :ANG)
TRAP :S1/SIN :ANG :S2/SIN :ANG :ANG
Try TRAP 5 25 60 as a starter for your investigations. See what
spirals you can generate now.
While still in the realm of geometry a consideration of
tessellations, tiles and tilings is long overdue.
Cundy C.M. and Rollett A. P. in 'Mathematical Models' give a
good introduction to the plane tessallations.
First consider the three regular tessellations based on the
square, equilateral triangle and regular hexagon respectively as
Can you devise a set of elegant procedures to illustrate these
somewhat lacklustre tilings? But colour them much more
imaginatively! [Hint: try drawing them freehand before thinking
about construction procedures.]