A dodecahedron (solid with 12 faces or facets) cannot exist with all faces being quadrilaterals. A regular dodecahedron has regular-pentagonal faces.
I don't know if you can have a 12-facetted solid with 12 sides of which at least one is a quadrilateral but I dare sy it would look very odd!
I assume you mean a regular dodecahedron. A regular dodecahedron has twelve faces, each of which are regular* pentagons. *(all sides are congruent, all angles are congruent)
A dodecahedron. A dodecahedron is any polyhedron with twelve faces, but usually a regular dodecahedron is meant. It is a Platonic solid composed of twelve regular pentagonal faces, with three meeting at each vertex. It has twenty (20) vertexes and thirty (30) edges. The dodecahedron would be the Platonic solid with the largest volume if all were made with edges of the same length.
10 * * * * * Polyhedra are named according to the number of faces that they have. So a 3d dodecagon, called a dodecahedron would have 12 faces.
There are various types of dodecahedrons. A regular dodecahedron has twelve faces, each with five edges. Altogether there are thirty edges. So you could make a regular dodecahedron with thirty straws, or one very long one! You could even make one with sixty straws, but you would have to join them together in pairs to make the thirty edges! For more information, see 'Related links' below this box.
A dodecahedron has twelve, pentagonal faces. They are called faces rather than sides due to the fact that it is a three dimensional figure rather than a two dimensional one. A twelve sided two dimensional figure would be a dodecagon.
A dodecahedron is a generic term which describes a 3-dimensional shape with 12 polygonal faces. There are approx 6.4 million topologically different convex dodecahedra plus concave ones. They can have 8 to 20 vertices and 18 to 30 edges. So there would be around 6.4 million other names!
As the name implies, there are 12 faces on a dodecahedron. Each face is a pentagon, which has 5 edges, so there would be 60 edges altogether except that each edge is shared by 2 faces, so there are 30 edges. Using Euler's formula V + F = E + 2, the number of vertices is 20. Therefore each vertex is shared by 3 faces and 3 edges.
Without quadrilaterals they would be HARAM... BRO i know my mathamacation
A quadrilateral is any 4 sided polygon. Therefore, quadrilaterals would include parallelograms, rectangles, squares, complex quadrilaterals as well as trapezium.
it would e ugly !
No, a quadrilateral isn't always a trapezoid. One way to consider it is that all trapezoids are quadrilaterals (four-sided shapes), but not all quadrilaterals are trapezoids. Some quadrilaterals are concave quadrilaterals, some are scalene convex quadrilaterals (called trapezoids in the UK), some would be trapezoids, and some would be parallelograms (rectangles, squares, rhomboids, rhombi). If parallelograms are considered a special case of trapezoids, then trapezoids would include all non-scalene convex quadrilaterals, which is a highly inclusive definition.
No, a quadrilateral isn't always a trapezoid. One way to consider it is that all trapezoids are quadrilaterals (four-sided shapes), but not all quadrilaterals are trapezoids. Some quadrilaterals are concave quadrilaterals, some are scalene convex quadrilaterals (called trapezoids in the UK), some would be trapezoids, and some would be parallelograms (rectangles, squares, rhomboids, rhombi). If parallelograms are considered a special case of trapezoids, then trapezoids would include all non-scalene convex quadrilaterals, which is a highly inclusive definition.