The phase plane Figure
10(c) shows that the behavior of [psi] is not stable.
They show methods for representing numbers using graphical elements, segments, plane figures
, volumes of objects, using isometry and similarity, overlaying tiles, geometric dissections, colors, and 3D.
Figure 1 "Geome-tree" game Suggested grade level: K-5 Materials needed: Pattern blocks "Geome-tree" game board Prerequisite: Ample time to free-explore pattern blocks Key ideas: Exploration of congruence of pattern-block shapes Increase in knowledge of plane figures
Development of spatial visualization and problem-solving skills Development of strategic-planning skills Procedure: Place the game board in sight of all students.
Ficino would have read in Diogenes Laertius(51) that Pythagoras considered the sphere the most perfect of solids, the circle the most perfect of plane figures
.(52) He also would have known that Alcmaeon the Pythagorean thought that the soul was immortal and that it "held itself in [continuous] motion like the sun.(53) But that is all he would have known from Diogenes Laertius.
* Initial sketches and records of identification of designated plane figures
(e.g., square, pentagon) from the time of introduction to the concepts
Objects have a center of gravity and for mathematical purposes can be treated as if they were composed of parallel lines (plane figures
) or parallel planes (solid figures).