Perfect quadrilateral right prisms (Q380213)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Perfect quadrilateral right prisms |
scientific article; zbMATH DE number 6226528
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perfect quadrilateral right prisms |
scientific article; zbMATH DE number 6226528 |
Statements
Perfect quadrilateral right prisms (English)
0 references
13 November 2013
0 references
This paper concerns right prisms with horizontal quadrilateral bases and tops and with vertical rectangular sides. The author asks for examples, where all the edges, face diagonals and space diagonals are integers. As the main result, it is shown that the desired examples exist, when the base is an isosceles trapezium or a parallelogram. On the other hand, it is conjectured that such examples don't exist, if the base is a kite, rhombus or cyclic quadrilateral.
0 references
right prisms
0 references
perfect prism
0 references
trapezium
0 references
kite
0 references
0 references
0 references
0 references
0.79813164
0 references