Secondly, we will treat the converse problem, how to determine the shape when the projections in each presentation are given. Looking back at the list just given above, let us write down in each presentation the projections only. Mala projections: Uncus, Pallor, Bidens, Frenum, Plebs, Moles, Urna. Vesper projections: Orcus, Ocrea, Uncus, Cardo, Polus, Crates, Frenum, Urna, Thyrsus. Pluvium projections: Bidens, Cudo, Luctus, Verbum, Urna, Moles, Vitta, Securis, Cervix. Lar projections: Frenum, Plebs, Moles, Urna, Cura, Vitta, Polus, Penates. Now let us determine the shape indicated by these projections. In now using the same tables we must not notice the italics, as the shape is supposed to be unknown. It is assumed that the reader is building the problem in cubes. From the Mala projections we might infer the presence of all or any of the tessaracts written in the brackets in the following list of the Mala presentation. (Uncus, Ocrea, Orcus); (Pallor, Tessera, Lacerta); (Bidens, Cudo, Luctus); (Frenum, Crates, Polus); (Plebs, Cura, Penates); (Moles, Vitta, Securis); (Urna, Thyrsus, Cervix). Let us suppose them all to be present in our shape, and observe what their appearance would be in the Vesper presentation. We mark them all with an asterisk in Table B. In addition to those already marked we must mark (†) Verbum, Cardo, Ostrum, and then we see all the Vesper projections, which would be formed by all the tessaracts possible from the Mala projections. Let us compare these Vesper projections, viz. Orcus, Ocrea, Uncus, Verbum, Cardo, Ostrum, Polus, Crates, Frenum, Cervix, Thyrsus, Urna, with the given Vesper projections. We see at once that Verbum, Ostrum, and Cervix are absent. Therefore, we may conclude that all the tessaracts, which would be implied as possible by their presence, are absent, and of the Mala possibilities may exclude the tessaracts Bidens, Luctus, Securis, and Cervix itself. Thus, of the 21 tessaracts possible in the Mala view, there remain only 17 possible, both in the Mala and Vesper views, viz. Uncus, Ocrea, Orcus, Pallor, Tessera, Lacerta, Cudo, Frenum, Crates, Polus, Plebs, Cura, Penates, Moles, Vitta, Urna, Thyrsus. This we call the Mala-Vesper solution.