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March, 1925
The Visualization of Form (V)
147
and definitions lay the foundations for such work and make it easy.
To develop the pupil's inventive talents, let him construct new forms from the triangles
Since the treatment is the same as in the case of the pentagon, it is only necessary to show the figures as they appear below.
The foregoing scheme of the regular poly
Fig. XIII. Symmetrical Forms
of the pentagon, as shown in Fig. X. Novel and symmetrical combinations might be made from the triangles of the pentagon and the squares and equilateral triangles treated above.
The treatment of other regular polygons is the same as that already given for the pentagon. The sets of solid, regular polygons should not extend farther than the octagon,
f
Fig. XIV. The Dissected Decagon
for they have so many sides that it is difficult ti) classify them.
The sets of dissected, regular polygons need not extend farther than the one of sixteen sides and after the hexagon need not include only those of eight, ten, twelve and sixteen sides.
Fig. XV. The Dissected Dodecagon
gons, the elements of which they are composed and their reconstructed forms, form concepts in the child's mind that will help him to solve the problems of the circle.
The Polygon of Sixteen Sides Fig. XVI.
This concrete method of correlating the affinities of the mind according to the actual facts in the case, prepares the mind for easy and accurate mathematical thinking.
This concludes the series of articles by Mr. Kennedy, begun in the August number of Visual Education and continued in the February and March issues of The Educational Screen.