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The Waterman "Butterfly" World Map is a map projection created by Steve Waterman. Waterman first published a map in this arrangement in 1996. The arrangement is an unfolding of a polyhedral globe with the shape of a truncated octahedron, evoking the butterfly map principle first developed by Bernard J.S. Cahill (1866–1944) in 1909
The two octahedral cells project onto the entire volume of this envelope, while the 8 triangular prismic cells project onto its 8 triangular faces. The triangular-prism-first orthographic projection of the octahedral prism into 3D space has a hexagonal prismic envelope. The two octahedral cells project onto the two hexagonal faces.
Bernard Joseph Stanislaus Cahill (London, January 30, 1866 - Alameda County, October 4, 1944 [1] [2]), American cartographer and architect, was the inventor of the octahedral "Butterfly Map" (published in 1909 and patented in 1913 [3]).
The straight-line distance between the central point on the map to any other point is the same as the straight-line 3D distance through the globe between the two points. c. 150 BC: Stereographic: Azimuthal Conformal Hipparchos* Map is infinite in extent with outer hemisphere inflating severely, so it is often used as two hemispheres.
A world map is a map of most or all of the surface of Earth. World maps, because of their scale, must deal with the problem of projection. Maps rendered in two dimensions by necessity distort the display of the three-dimensional surface of the Earth. While this is true of any map, these distortions reach extremes in a world map.
The octahedral symmetry of the sphere generates 7 uniform polyhedra, and a 7 more by alternation. Six of these forms are repeated from the tetrahedral symmetry table above. The octahedral symmetry is represented by a fundamental triangle (4 3 2) counting the mirrors at each vertex.
In mineralogy, prismatic is also type of mineral habit (appearance of a crystal). Prismatic minerals have crystals that show a uniform cross-section. Prismatic crystals typically have 3, 4, 6, 8 or 12 faces which are parallel to a crystallographic axis. [2] The apatite group of minerals commonly exhibit elongated hexagonal prisms. [2]
Theatrum Orbis Terrarum (Latin: [tʰɛˈaːtrũː ˈɔrbɪs tɛˈrːaːrũː], "Theatre of the Lands of the World") is considered to be the first true modern atlas.Written by Abraham Ortelius, strongly encouraged by Gillis Hooftman [2] and originally printed on 20 May 1570 in Antwerp, [3] it consisted of a collection of uniform map sheets and supporting text bound to form a book for which ...