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Description
I will now begin a description of each of the families that I have identified. I will respect the chronological order of the discoveries and will indicate the distinctive characteristics of each of these families as well as the laws that govern them.
The first family of forms that I have identified is C3.
This family convinced me that one could assemble equilateral triangles in order to create volumes different from known Platonic ones, such as tetrahedrons, octahedrons, and icosahedrons.
It is possible to impose a direction to each strut of the edge, so that, even though the struts are not on the same extension, they appear projected on the horizontal plane on the same projected line.
I called this sub family RIVH
The same thought led me to imagine that, because a horizontal plane projection was possible, a frontal plane projection would also be.
I called this sub family RIVF
The drawing which follows explains and defines the naming of these forms.
I will now begin a description of each of the families that I have identified. I will respect the chronological order of the discoveries and will indicate the distinctive characteristics of each of these families as well as the laws that govern them.
The first family of forms that I have identified is C3.
This family convinced me that one could assemble equilateral triangles in order to create volumes different from known Platonic ones, such as tetrahedrons, octahedrons, and icosahedrons.
It is possible to impose a direction to each strut of the edge, so that, even though the struts are not on the same extension, they appear projected on the horizontal plane on the same projected line.
I called this sub family RIVH
The same thought led me to imagine that, because a horizontal plane projection was possible, a frontal plane projection would also be.
I called this sub family RIVF
The drawing which follows explains and defines the naming of these forms.
In these two cases, the angles of the projected lines can vary, and thus, flat or hollow forms which fit into each other can be obtained. The following images illustrate this.
