Your Math Game
Kids Yourmathgame I Game Tr 1 Your Math Game Archimedean Solids (Pappus)
Kids Yourmathgame I Game Tr 1 Your Math Game
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Yourmathgame
Truncated Tetrahedron
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The first is a figure of eight bases, being contained by four triangles and four hexagons.
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Τὸ μὲν γὰρ πρῶτον ὀκτάεδρόν ἐστιν περιεχόμενον ὑπὸ τριγώνων δ´ καὶ ἑξαγώνων δ´.
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Cuboctahedron |
After this come three figures of fourteen bases, the first contained by eight triangles and six squares,
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Τρία δὲ μετὰ τοῦτο τεσσαρεσκαιδεκάεδρα, ὧν τὸ μὲν πρῶτον περιέχεται τριγώνοις η´ καὶ τετραγώνοις ϛ᾽,
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Truncated Octahedron |
the second by six squares and eight hexagons,
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τὸ δὲ δεύτερον τετραγώνοις ϛ´ καὶ ἑξαγώνοις η´,
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Truncated Cube |
and the third by eight triangles and six octagons.
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το δὲ τρίτον τριγώνοις η´ καὶ ὀκταγώνοις ϛ´.
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Rhombicuboctahedron |
After these come two figures of twenty-six bases, the first contained by eight triangles and eighteen squares,
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Μετὰ δὲ ταῦτα ἑκκαιεικοσάεδρά ἐστιν δύο, ὧν τὸ μὲν πρῶτον περιέχεται τριγώνοις η´ καὶ τετραγὠνοις ιη´,
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Truncated Cuboctahedron |
the second by twelve squares, eight hexagons and six octagons.
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τὸ δὲ δεύτερον τετραγώνοις ιβ´, έξαγώνοις η´ καὶ ὀκταγώνοις ϛ´.
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Icosidodecahedron |
After these come three figures of thirty-two bases, the first contained by twenty triangles and twelve pentagons,
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Μετὰ δὲ ταῦτα δυοκαιτριακοντάεδρά ἐστιν τρία, ὧν τὸ μὲν πρῶτον περιέχεται τριγώνοις κ´ καὶ πενταγώνοις ιβ´,
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Truncated Icosahedron |
the second by twelve pentagons and twenty hexagons,
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τὸ δὲ δεύτερον πενταγώνοις ιβ´ καὶ ἑξαγώνοις κ´,
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Truncated Dodecahedron |
and the third by twenty triangles and twelve decagons.
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τὸ δὲ τρίτον τριγώνοις κ´ καὶ δεκαγώνοις ιβ´.
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Snub Cube |
After these comes one figure of thirty-eight bases, being contained by thirty-two triangles and six squares
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Μετὰ δὲ ταῦτα ἕν ἐστιν ὀκτωκαιτριακοντάεδρον περιεχόμενον ὑπὸ τριγώνων λβ´ καὶ τετραγώνων ϛ´.
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Rhombicosidodecahedron |
After this come two figures of sixty-two bases, the first contained by twenty triangles, thirty squares and twelve pentagons,
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Μετὰ δὲ τοῦτο δυοκαιεξηκοντάεδρά ἐστι δύο, ὧν τὸ μὲν πρῶτον περιέχεται τριγώνοις κ´ καὶ τετραγώνοις λ´ καὶ πενταγώνοις ιβ´,
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Truncated Icosidodecahedron |
the second by thirty squares, twenty hexagons and twelve decagons.
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τὸ δὲ δεύτερον τετραγώνοις λ´ καὶ ἑξαγώνοις κ´ καὶ δεκαγώνοις ιβ´.
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Snub Dodecahedron |
After these there comes lastly a figure of ninety-two bases, which is contained by eighty triangles and twelve pentagons.
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