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A New Era of Thought

by Charles Howard Hinton

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Appendix F

Exercises on Shapes of Three Dimensions

The names used are those given in Appendix B.

Find the shapes from the following projections:

1. Syce projections: Ratis, Caput, Castrum, Plagua.

Alvus projections: Merum, Oculus, Fulmen, Pruinus.

Moena projections: Miles, Ventus, Navis.

2. Syce: Dies, Tuba, Lituus, Frons.

Alvus: Sagitta, Regnum, Tellus, Fulmen, Pruinus.

Moena: Tibia, Tunica, Robur, Finis.

3. Syce: Nemus, Sidus, Vertex, Nix, Cerva.

Alvus: Lignum, Haedus, Vultus, Nemus, Humerus.

Moena: Dexter, Princeps, Equus, Dux, Urbs, Pullis, Gens, Monstrum, Miles.

4. Syce: Amphora, Castrum, Myrtus, Rota, Palma, Meta, Trabs, Ratis.

Alvus: Dexter, Princeps, Moena, Aes, Merum, Oculus, Littus, Civis, Fulmen.

Moena: Gens, Ventus, Navis, Finis, Monstrum, Cursus.

5. Syce: Castrum, Plagua, Nix, Vertex, Aper, Caput, Cerva, Venator.

Alvus: Triumphus, Tellus, Caterva, Lignum, Haedus, Pruinus, Fulmen, Civis, Humerus, Vultus.

Moena: Pharetra, Cursus, Miles, Equus, Dux, Navis, Monstrum, Gens, Urbs, Dexter.

Answers

The shapes are:

1. Umbra, Aether, Ver, Carina, Flos.

2. Pontus, Custos, Jaculum, Pratum, Arator, Agna.

3. Focus, Omus, Haedus, Tabema, Vultus, Hostis, Figura, Ales, Sidus, Augur.

4. Tempus, Campus, Finis, Navis, Ventus, Pelagus, Notus, Cohors, Aether, Carina, Res, Templum, Rex, Gens, Monstrum.

5. Portus, Arma, Sylva, Lucrum, Ornus, Onus, Os, Facies, Chorus, Carina, Flos, Nox, Ales, Clamor, Res, Pugna, Ludus, Figura, Augur, Humerus.

Further Exercises in Shapes of Three Dimensions

The Names used are those given in Appendix C; and this set of exercises forms a preparation for their use in space of four dimensions. All are in the 27 Block (Urna to Syrma).

1. Syce: Moles, Frenum, Plebs, Sypho.

Alvus: Urna, Frenum, Uncus, Spicula, Comes.

Moena: Moles, Bidens, Tibicen, Comes, Saltus.

2. Syce: Urna, Moles, Plebs, Hama, Remus.

Alvus: Urna, Frenum, Sector, Ala, Mars.

Moena: Urna, Moles, Saltus, Bidens, Tibicen.

3. Syce: Moles, Plebs, Hama, Remus.

Alvus: Uma, Ostrum, Comes, Spicula, Frenum, Sector.

Moena: Moles, Saltus, Bidens, Tibicen.

4. Syce: Frenum, Plebs, Sypho, Moles, Hama.

Alvus: Urna, Frenum, Uncus, Sector, Spicula.

Moena: Urna, Moles, Saltus, Scena, Vestis.

5. Syce: Urna, Moles, Plebs, Hama, Remus, Sector.

Alvus: Urna, Frenum, Sector, Uncus, Spicula, Comes, Mars.

Moena: Urna, Moles, Saltus, Bidens, Tibicen, Comes.

6. Syce: Uma, Moles, Saltus, Sypho, Remus, Hama, Sector.

Alvus: Comes, Ostrum, Uncus, Spicula, Mars, Ala, Sector.

Moena: Urna, Moles, Saltus, Scena, Vestis, Tibicen, Comes, Ostrum.

7. Syce: Sypho, Saltus, Moles, Urna, Frenum, Sector.

Alvus: Urna, Frenum, Uncus, Spicula, Mars.

Moena: Saltus, Moles, Urna, Ostrum, Comes.

8. Syce: Moles, Plebs, Hama, Sector.

Alvus: Ostrum, Frenum, Uncus, Spicula, Mars, Ala.

Moena: Moles, Bidens, Tibicen, Ostrum.

9. Syce: Moles, Saltus, Sypho, Plebs, Frenum, Sector.

Alvus: Ostrum, Comes, Spicula, Mars, Ala.

Moena: Ostrum, Comes, Tibicen, Bidens, Scena, Vestis.

10. Syce: Urna, Moles, Saltus, Sypho, Remus, Sector, Frenum.

Alvus: Urna, Ostrum, Comes, Spicula, Mars, Ala, Sector.

Moena: Urna, Ostrum, Comes, Tibicen, Vestis, Scena, Saltus.

11. Syce: Frenum, Plebs, Sypho, Hama.

Alvus: Frenum, Sector, Ala, Mars, Spicula.

Moena: Urna, Moles, Saltus, Bidens, Tibicen.

Answers

The shapes are:

1. Moles, Plebs, Sypho, Pallor, Mora, Tibicen, Spicula.

2. Urna, Moles, Plebs, Hama, Cortis, Merces, Remus.

3. Moles, Bidens, Tibicen, Mora, Plebs, Hama, Remus.

4. Frenum, Plebs, Sypho, Tergum, Oliva, Moles, Hama.

5. Urna, Moles, Plebs, Hama, Remus, Pallor, Mora, Tibicen, Mars, Merces, Comes, Sector.

6. Ostrum, Comes, Tibicen, Vestis, Scena, Tergum, Oliva, Tyro, Aer, Remus, Hama, Sector, Merces, Mars, Ala.

7. Sypho, Saltus, Moles, Urna, Frenum, Uncus, Spicula, Mars.

8. Plebs, Pallor, Mora, Bidens, Merces, Cortis, Ala.

9. Bidens, Tibicen, Vestis, Scena, Oliva, Mora, Spicula, Mars, Ala.

10. Urna, Ostrum, Comes, Spicula, Mars, Tibicen, Vestis, Oliva, Tyro, Aer, Remus, Sector, Ala, Saltus, Scena.

11. Frenum, Plebs, Sypho, Hama, Cortis, Merces, Mora.


APPENDIX G.

Exercises on Shapes of Four Dimensions

The Names used are those given in Appendix C. The first six exercises are in the 81 Set, and the rest in the 256 Set.

1. Mala projection: Urna, Moles, Plebs, Pallor, Cortis, Merces.

Lar projection: Urna, Moles, Plebs, Cura, Penates, Nepos.

Pluvium projection: Urna, Moles, Vitta, Cudo, Luctus, Troja.

Vesper projection: Urna, Frenum, Crates, Ocrea, Orcus, Postis, Arcus.

2. Mala: Urna, Frenum, Uncus, Pallor, Cortis, Aer.

Lar: Urna, Frenum, Crates, Cura, Lacus, Arvus, Angusta.

Pluvium: Urna, Thyrsus, Cardo, Cudo, Malleus, Anguis.

Vesper: Urna, Frenum, Crates, Ocrea, Pilum, Postis.

3. Mala: Comes, Tibicen, Mora, Pallor.

Lar: Urna, Moles, Vitta, Cura, Penates.

Pluvium: Comes, Tibicen, Mica, Troja, Luctus.

Vesper: Comes, Cortex, Praeda, Laurus, Orcus.

4. Mala: Vestis, Oliva, Tyro.

Lar: Saltus, Sypho, Remus, Arvus, Angusta.

Pluvium: Vestis, Flagellum, Aries.

Vesper: Comes, Spicula, Mars, Ara, Arcus.

5. Mala: Mars, Merces, Tyro, Aer, Tergum, Pallor, Plebs.

Lar: Sector, Hama, Lacus, Nepos, Angusta, Vulcan, Penates.

Pluvium: Comes, Tibicen, Mica, Troja, Aries, Anguis, Luctus, Securis.

Vesper: Mars, Ara, Arcus, Postis, Orcus, Polus.

6. Mala: Pallor, Mora, Oliva, Tyro, Merces, Mars, Spicula, Comes, Tibicen, Vestis.

Lar: Plebs, Cura, Penates, Vulcan, Angusta, Nepos, Telum, Polus, Cervix, Securis, Vinculum.

Pluvium: Bidens, Cudo, Luctus, Troja, Axis, Aries.

Vesper: Uncus, Ocrea, Orcus, Laurus, Arcus, Axis.

7. Mala: Hospes, Tribus, Fragor, Aer, Tyro, Mora, Oliva.

Lar: Hospes, Tectum, Rumor, Arvus, Angusta, Cera, Apis, Lapis.

Pluvium: Acus, Torus, Malleus, Flagellum, Thorax, Aries, Aestas, Capella.

Vesper: Pardus, Rostrum, Ardor, Pilum, Ara, Arcus, Aestus, Septum.

8. Mala: Pallor, Tergum, Aer, Tyro, Cortis, Syrma, Ursa, Fama, Naxos, Erisma.

Lar: Plebs, Cura, Limen, Vulcan, Angusta, Nepos, Cera, Papaver, Pignus, Messor.

Pluvium: Bidens, Cudo, Malleus, Anguis, Aries, Luctus, Capella, Rheda, Rapina.

Vesper: Uncus, Ocrea, Orcus, Postis, Arcus, Aestus, Cussis, Dolium, Alexis.

9. Mala: Fama, Conjux, Reus, Torus, Acus, Myrrha, Sypho, Plebs, Pallor, Mora, Oliva, Alpis, Acies, Hircus.

Lar: Missale, Fortuna, Vita, Pax, Furor, Ira, Vulcan, Penates, Lapis, Apis, Cera, Pignus.

Pluvium: Torus, Plenum, Pax, Thorax, Dolus, Furor, Vinculum, Securis, Clavis, Gurges, Aestas, Capella, Corbis.

Vesper: Uncus, Spicula, Mars, Ocrea, Cardo, Thyrsus, Cervix, Verbum, Orcus, Polus, Spes, Senex, Septum, Porrum, Cussis, Dolium.

Answers

The shapes are:

1. Urna, Moles, Plebs, Cura, Tessara, Lacerta, Clipeus, Ovis.

2. Urna, Frenum, Crates, Ocrea, Tessara, Glans, Colus, Tabula.

3. Comes, Tibicen, Mica, Sacerdos, Tigris, Lacerta.

4. Vestis, Oliva, Tyro, Pluma, Portio.

5. Mars, Merces, Vomer, Ovis, Portio, Tabula, Testudo, Lacerta, Penates.

6. Pallor, Tessara, Lacerta, Tigris, Segmen, Portio, Ovis, Arcus, Laurus, Axis, Troja, Aries.

7. Hospes, Tribus, Arista, Pellis, Colus, Pluma, Portio, Calathus, Turtur, Sepes.

8. Pallor, Tessara, Domitor, Testudo, Tabula, Clipeus, Portio, Calathus, Nux, Lectrum, Corymbus, Circaea, Cordax.

9. Fama, Conjux, Reus, Fera, Thorax, Pax, Furor, Dolus, Scala, Ira, Vulcan, Penates, Lapis, Palus, Sepes, Turtur, Diota, Drachma, Python.

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