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33-654: The highway forms a diamond-shaped loop with vertices at Moab , Helper , Vernal and Grand Junction . Notable features along the Dinosaur Diamond include Dinosaur National Monument , the Flaming Gorge National Recreation Area , Canyonlands National Park , Arches National Park , Natural Bridges National Monument , Colorado National Monument , and several national forests. The path of Interstate 70 (I‑70) in Colorado

66-440: A case-by-case basis). To be considered for designation "a road or highway must significantly meet at least one of the six scenic byways intrinsic qualities". The qualities are scenic, natural, historic, cultural, archeological, or recreational. A "corridor management plan" must also be developed, with community involvement, and the plan "should provide for the conservation and enhancement of the byway's intrinsic qualities as well as

99-424: A consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices. The vertex of an angle is the point where two rays begin or meet, where two line segments join or meet, where two lines intersect (cross), or any appropriate combination of rays, segments, and lines that result in two straight "sides" meeting at one place. A vertex

132-485: A market for agricultural products. Moab residents pushed for a road to be built along the riverbank. By 1902, the trail was replaced with a toll road, called King's Toll Road, after Samuel King. King was an early settler who also operated the toll ferry used prior to the construction of the Dewey Bridge . Rocks inscribed with "Kings Toll Road" can still be found along the roadway. While the road did improve travel, it

165-409: A polygon are points of infinite curvature, and if a polygon is approximated by a smooth curve, there will be a point of extreme curvature near each polygon vertex. A vertex of a plane tiling or tessellation is a point where three or more tiles meet; generally, but not always, the tiles of a tessellation are polygons and the vertices of the tessellation are also vertices of its tiles. More generally,

198-478: A simple polygon P is called an ear if the diagonal [ x (i − 1) , x (i + 1) ] that bridges x i lies entirely in P . (see also convex polygon ) According to the two ears theorem , every simple polygon has at least two ears. A principal vertex x i of a simple polygon P is called a mouth if the diagonal [ x (i − 1) , x (i + 1) ] lies outside the boundary of P . Any convex polyhedron 's surface has Euler characteristic where V

231-656: A state highway in 1910. The southwest end was moved from Colton to Castle Gate in 1912, and in 1927 it was numbered State Route 33. Few changes were made to the roadway, and in 1981 it became part of US 191. Access between Moab and Castle Valley was originally via a pack trail called the Heavenly Stairway. This trail, named for a dramatic descent of over 1,000 feet (300 m), was described as beautiful, but difficult to navigate. Isolated from Utah's population centers, this area depended on Grand Junction and other cities in Colorado for both everyday supplies and

264-534: A tessellation can be viewed as a kind of topological cell complex , as can the faces of a polyhedron or polytope; the vertices of other kinds of complexes such as simplicial complexes are its zero-dimensional faces. A polygon vertex x i of a simple polygon P is a principal polygon vertex if the diagonal [ x (i − 1) , x (i + 1) ] intersects the boundary of P only at x (i − 1) and x (i + 1) . There are two types of principal vertices: ears and mouths . A principal vertex x i of

297-452: A walkway where visitors can view a sandstone wall embedded with over 2,000 dinosaur bones, and watch paleontologists chip away the sandstone to expose the fossilized dinosaur bones. Visitors can also see the preparation laboratory where dinosaur fossils are cleaned and preserved. Upon leaving Dinosaur, the DD continues west on US 40 and crosses the border into Utah. The Utah portion of

330-547: Is Crystal Geyser , a rare (but man-made) cold water geyser caused by the expansion of carbonized "soda pop" water within. Within Green River, US 191 converges with I-70 for a short while and diverges again, south towards the city of Moab, 55 miles (89 km) from Green River. Just south of the junction of US 191 and SR-128, the city of Moab features a number of nearby attractions. Arches National Park , Canyonlands National Park , Dead Horse Point State Park , and

363-512: Is a United States national recreation area in Wyoming and Utah . Its centerpiece is the 91 miles (146 km) long Flaming Gorge Reservoir . The area was given the name "Flaming Gorge" by John Wesley Powell during his 1869 expedition down the Green River , due to the spectacular, gorgeous red sandstone cliffs that surround this part of the river. The Flaming Gorge reservoir

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396-404: Is a corner point of a polygon , polyhedron , or other higher-dimensional polytope , formed by the intersection of edges , faces or facets of the object. In a polygon, a vertex is called " convex " if the internal angle of the polygon (i.e., the angle formed by the two edges at the vertex with the polygon inside the angle) is less than π radians (180°, two right angles ); otherwise, it

429-402: Is called "concave" or "reflex". More generally, a vertex of a polyhedron or polytope is convex, if the intersection of the polyhedron or polytope with a sufficiently small sphere centered at the vertex is convex, and is concave otherwise. Polytope vertices are related to vertices of graphs , in that the 1-skeleton of a polytope is a graph, the vertices of which correspond to the vertices of

462-551: Is derived from two previous highways, U.S. Highway 6 (US 6) and US 40 . US 40 was an original piece of the U.S. Highway system commissioned in 1926. The portion now numbered US 6 came about in 1937 when the route over Vail Pass was paved. The first route through the path of I-70 in Utah was the Old Spanish Trail , a trade route between Santa Fe, New Mexico , and Los Angeles, California . The trail

495-783: Is part of the Uinta Mountain range. The Uinta Mountains are one of the few mountain ranges in the contiguous United States which run east–west, and are the highest range to do so. Within Duchesne, US 40 and US 191 diverge, and the DD continues 55 miles (89 km) south along US 191 over an unnamed mountain pass , through the small town of Helper, and into the larger city of Price . The numerous attractions surrounding Price include College of Eastern Utah Prehistoric Museum , Manti-La Sal National Forest , Huntington Lake State Park , Scofield State Park , and Ninemile Canyon which features numerous petroglyphs. Also nearby

528-622: Is the Cleveland-Lloyd Dinosaur Quarry , a prehistoric mud trap which claims to be the densest concentration of Jurassic dinosaur fossils in the world. Traveling 63 miles (101 km) southeast along US 191, the DD encounters the city of Green River. Notable features surrounding Green River include the San Rafael Swell , Green River State Park , and Goblin Valley State Park . Also nearby

561-448: Is the number of vertices, E is the number of edges , and F is the number of faces . This equation is known as Euler's polyhedron formula . Thus the number of vertices is 2 more than the excess of the number of edges over the number of faces. For example, since a cube has 12 edges and 6 faces, the formula implies that it has eight vertices. In computer graphics , objects are often represented as triangulated polyhedra in which

594-548: The American Association of State Highway Officials (AASHO) assigned the designation of US 40 to this cross-state route, consisting of most of SR-4 and all of SR-6. (The SR-6 designation remained until the 1977 renumbering ; SR-4 became SR-2 in 1962 and was eliminated in favor of I-80 in 1977.) The road connecting Colton on SR-8 (US 50, now US 6) with SR-6 (US 40) in Duchesne became

627-717: The Ashley National Forest . Continuing along the Dinosaur Diamond, US 40 and US 191 converge within Vernal, heading west for 30 miles (48 km) to the city of Roosevelt . Roosevelt is located on the edge of the Uintah and Ouray Indian Reservation . Heading 29 miles (47 km) to the west is the county seat of Duchesne , located within the reservation. Nearby Duchesne are Fred Hayes State Park at Starvation and Kings Peak (the highest point in Utah), which

660-628: The Cañon Pintado ("painted canyon") Historic District petroglyphs , which is listed on the National Register of Historic Places . The byway continues 18 miles (29 km) northwest on SH-64, to the small town of Dinosaur. Nearby Dinosaur is the "crown jewel" of the DD, the Dinosaur National Monument , which claims to be the most productive Jurassic Period dinosaur quarry in the world. The monument includes

693-745: The Newspaper Rock and Potash Road petroglyphs. Leaving Moab, the DD continues north along SR-128 to its terminus with I-70 in Cisco. Traveling east along I-70, before completing the "diamond" back in Grand Junction, Colorado. The segment within Colorado was designated the Dinosaur Diamond Scenic and Historic Byway by the Colorado Transportation Commission in 1997. The segment within Utah

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726-631: The Powderhorn Resort , and the geologic features of Book Cliffs and Grand Mesa . Traveling about 10 miles (16 km) westbound on I-70 will lead to Fruita, a small town within view of the Colorado National Monument , which features numerous scenic hiking trails. From the trails, one may view attractions such as the Book Cliffs and Coke Ovens overlooks, and unique rock formations such as Independence Monument and

759-420: The object vertices are associated not only with three spatial coordinates but also with other graphical information necessary to render the object correctly, such as colors, reflectance properties, textures, and surface normal . These properties are used in rendering by a vertex shader , part of the vertex pipeline . Flaming Gorge National Recreation Area Flaming Gorge National Recreation Area

792-609: The "Kissing Couple". Fruita is also the home of Mike the Headless Chicken , and hosts an annual festival in his honor every May. A small statue dedicated to Mike can also be seen in the town. Just west of Fruita, the byway turns north onto SH-139, traveling 78 miles (126 km) to the next town of Rangely, and traversing the Douglas Pass . Nearby attractions include the Rangely Outdoor Museum and

825-572: The Dinosaur Diamond Prehistoric Highway is routed along these highways: Traveling 34 miles (55 km) west of Dinosaur, Colorado, the Dinosaur Diamond encounters the small city of Vernal, Utah. Vernal borders the western end of the Dinosaur National Monument; other notable attractions nearby include Steinaker State Park , Red Fleet State Park , Flaming Gorge National Recreation Area , and

858-414: The polytope, and in that a graph can be viewed as a 1-dimensional simplicial complex the vertices of which are the graph's vertices. However, in graph theory , vertices may have fewer than two incident edges, which is usually not allowed for geometric vertices. There is also a connection between geometric vertices and the vertices of a curve , its points of extreme curvature: in some sense the vertices of

891-465: The promotion of tourism and economic development". The final step is when the highway (or highways) is approved for designation by the Secretary of Transportation . The path of I-70 in Colorado is derived from two previous highways, US 6 and US 40 . US 40 was an original piece of the U.S. Highway system commissioned in 1926. The portion now numbered US 6 came about in 1937 when

924-552: The route over Vail Pass was paved. A portion of this route was also numbered US 24 at the time. In the 1920s, SH-139 was an unimproved road from US 6 at Fruita north to SH-64 in Rangely. The first route through this portion of Utah was the Old Spanish Trail , a trade route between Santa Fe, New Mexico and Los Angeles, California . The trail was in common use before the Mexican–American War in 1848. Although

957-520: The trail serves a different route than I-70, they were both intended to connect southern California with points further east. I-70 generally parallels the route of the Old Spanish Trail west of Crescent Junction. The Utah State Road Commission took over US 40 from Kimball Junction to Colorado in 1910 and 1911, and assigned the SR-6 designation to this route by the mid-1920s. In late 1926,

990-576: Was created by the 1964 construction of the Flaming Gorge Dam across the Green River . Flaming Gorge Dam is used to generate hydroelectric power . Three turbines and generators at the base of the dam have the capacity to produce 50,650 kilowatts of electrical power each. Flaming Gorge National Recreation area is administered by the Ashley National Forest . Activities in the recreation area include camping , biking , rock climbing , paddling , hiking , boating and fishing on

1023-545: Was designated the Dinosaur Diamond Prehistoric Highway by the Utah State Legislature in 1998. The highway was approved as a National Scenic Byway in 2002. National Scenic Byways must go through a nomination procedure, and must already be designated as a state scenic byway in order to be nominated (However, roads that meet all criteria and requirements for national designation but not state or designation criteria may be considered for national designation on

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1056-491: Was in common use before the Mexican–American War in 1848. The following Colorado routes are included in the Colorado portion of the Dinosaur Diamond Scenic and Historic Byway: The easternmost starting point of the Dinosaur Diamond (DD) begins in Grand Junction, Colorado, on I-70. In the vicinity of Grand Junction are the White River , Uncompahgre , and Grand Mesa National Forests . Other notable features nearby include

1089-415: Was not built high enough above the river level and was often flooded. 39°04′13″N 108°34′15″W  /  39.0703°N 108.5709°W  / 39.0703; -108.5709  ( Grand Junction, Colorado, USA ) Vertex (geometry) In geometry , a vertex ( pl. : vertices or vertexes ) is a point where two or more curves , lines , or edges meet or intersect . As

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