Geodesic
An Interpretation of the Truncated Triangular Trapezohedron and the Sphere Depicted in “Melencolia I” by Albrecht Dürer
Journal for geometry and graphics, Tome 26 (2022) no. 1, pp. 139-146 Cet article a éte moissonné depuis la source Heldermann Verlag

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The truncated triangular trapezohedron depicted in the engraving �Melencolia I� by Albrecht D�rer is a rarely used polyhedron. In addition to the meaning of this engraving, various interpretations have been made about the meaning of this polyhedron. In the interpretations, the composition of the dimensions of the polyhedron and its relationship with the projection were mainly argued, and D�rer�s direct intention was not argued. This paper focuses on the oblique axis contained in the truncated triangular trapezohedron, consider the relationship with what is drawn around it and the historical background, and try to interpret the intention hidden in this polyhedron by D�rer. The meaning of the drawn sphere was also positioned as an extension of the intention.
Classification : 01A40, 51N05
Mots-clés : Truncated triangular trapezohedron, Albrecht D�rer, applied descriptive geometry, history of engraving, projection 
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     author = {H. Suzuki },
     title = {An {Interpretation} of the {Truncated} {Triangular} {Trapezohedron} and the {Sphere} {Depicted} in {{\textquotedblleft}Melencolia} {I{\textquotedblright}} by {Albrecht} {D\"urer}},
     journal = {Journal for geometry and graphics},
     pages = {139--146},
     year = {2022},
     volume = {26},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2022_26_1_JGG_2022_26_1_a14/}
}
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H. Suzuki . An Interpretation of the Truncated Triangular Trapezohedron and the Sphere Depicted in “Melencolia I” by Albrecht Dürer. Journal for geometry and graphics, Tome 26 (2022) no. 1, pp. 139-146. http://geodesic.mathdoc.fr/item/JGG_2022_26_1_JGG_2022_26_1_a14/