Hans Walser, [20201106]

Star

1 Construction of the star

We dissect a cube from the center into six pyramids (Fig. 1).

Fig. 1: Dissection of the cube

In the movie 1, the six pyramids are moved both outwards and inwards. When moving inwards, the pyramids intersect each other.

Movie 1: Moving the pyramids

Figure 2 shows a special case of the intersection of the six pyramids. The pyramids are shifted inward by a quarter of the length of the cube edge. We see a star-like structure.

Fig. 2: The star

Movie 2: The star

2 Special views

Special views in relation to the original cube

2.1 View on face

Fig. 3.1

Fig. 3.2

Fig. 3.3

Fig. 3.4

Fig. 3.5

Fig. 3.6

Fig. 3.7: Summary

2.2 View on an edge

Fig. 4.1

Fig. 4.2

Fig. 4.3

Fig. 4.4

Fig. 4.5

Fig.4.6

Fig. 4.7

Fig. 4.8

Fig. 4.9

Fig. 4.10

Fig. 4.11

Fig. 4.12

Fig. 4.13: Summary

2.3 View on a vertex

Fig. 5.1

Fig. 5.2

Fig. 5.3

Fig. 5.4

Fig. 5.5

Fig. 5.6

Fig. 5.7

Fig. 5.8

Fig. 5.9: Summary

Weblinks

Hans Walser: Cube made from six pyramids

http://www.walser-h-m.ch/hans/Miniaturen/C/Cube_pyramids/Cube_pyramids.htm