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Map folding is the question of how many ways there are to fold a rectangular map along its creases, allowing each crease to form either a mountain or a valley fold. It differs from stamp folding in that it includes both vertical and horizontal creases, rather than only creases in a single direction.
A T and O map or O–T or T–O map (orbis terrarum, orb or circle of the lands; with the letter T inside an O), also known as an Isidoran map, is a type of early world map that represents world geography as first described by the 7th-century scholar Isidore of Seville (c. 560–636) in his De Natura Rerum and later his Etymologiae (c. 625) [1]
For example, the Miura map fold is a rigid fold that has been used to deploy large solar panel arrays for space satellites. The napkin folding problem is the problem of whether a square or rectangle of paper can be folded so the perimeter of the flat figure is greater than that of the original square.
The light but non-white background color enables the use of white as a map symbol (the county boundary across the center). Also note the central box showing the location of a separate detail inset map. In addition to the map itself, there are various elements that are included in the map layout. The following are common elements of a map layout ...
In knot theory, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot.The trefoil can be obtained by joining the two loose ends of a common overhand knot, resulting in a knotted loop.
The Dymaxion map projection, also called the Fuller projection, is a kind of polyhedral map projection of the Earth's surface onto the unfolded net of an icosahedron. The resulting map is heavily interrupted in order to reduce shape and size distortion compared to other world maps , but the interruptions are chosen to lie in the ocean.
The set of exceptional points on is called the ramification locus (i.e. this is the complement of the largest possible open set ′).In general monodromy occurs according to the fundamental group of ′ acting on the sheets of the covering (this topological picture can be made precise also in the case of a general base field).
The 1996 Space Flyer Unit deployed the 2D Array from a Miura folded configuration. [7]The inflatable membrane structure of the SPROUT satellite is carried into space in the Miura-folded state, and then deployed using inflatable tubes themselves carried into space in the Octagon-folded state.