Net of a Regular Hexagonal Prism

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2015-11-14 23:53

This example demonstrates the net of a regular hexagonal prism. It involves concepts of polygons and solid geometry. Using commands like Polygon, Line, and Mirror, the net of the hexagonal prism can be constructed. Suitable for middle and high school students learning solid geometry.

GeoGebra Commands & Parameters

Polygon(A, B, 6) → poly1, a, F, b, c, d, e, f, C, D, E
Line(G, a) → g
Mirror(poly1, g) → poly1'
Mirror(E, g) → E'
Mirror(A, g) → A'
Mirror(B, g) → B'
Polygon(A, B, B', A') → poly2, a_1, b_1, b', a'
Mirror(A, b_1) → A'_1
Mirror(B, b_1) → B'_1
Mirror(B', b_1) → B''
Mirror(A', b_1) → A''
Polygon(A'_1, B'_1, B'', A'') → poly2', a'_1, b'_1, b'', a''
Mirror(A'_1, a'') → H
Mirror(B'_1, a'') → I
Mirror(B'', a'') → B'''
Mirror(A'', a'') → A'''
Polygon(H, I, B''', A''') → poly2'', h, i, b''', a'''
Mirror(H, i) → H'
Mirror(I, i) → I'
Mirror(B''', i) → J
Mirror(A''', i) → K
Polygon(H', I', J, K) → poly2''', h', i', j, k
Mirror(H', k) → H''
Mirror(I', k) → I''
Mirror(J, k) → J'
Mirror(K, k) → K'
Polygon(H'', I'', J', K') → poly3, h'', i'', j', k'
Mirror(H'', i'') → H'''
Mirror(I'', i'') → I'''
Mirror(J', i'') → J''
Mirror(K', i'') → K''
Polygon(H''', I''', J'', K'') → poly3', h''', i''', j'', k''