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It has 104 edges and 52 vertices and is currently the smallest known example of a 4-regular matchstick graph. [3] It is a rigid graph. [4] Every 4-regular matchstick graph contains at least 20 vertices. [5] Examples of 4-regular matchstick graphs are currently known for all number of vertices ≥ 52 except for 53, 55, 56, 58, 59, 61 and 62.
207 is a Wedderburn-Etherington number. [1] There are exactly 207 different matchstick graphs with eight edges. [2] [3] 207 is a deficient number, as 207's proper divisors (divisors not including the number itself) only add up to 105: + + + + = <.
Utica Township is one of twelve townships in Clark County, Indiana. As of the 2010 census, its population was 6,016 and it contained 2,422 housing units. As of the 2010 census, its population was 6,016 and it contained 2,422 housing units.
Every matchstick graph is a planar graph, [14] but some otherwise-planar unit distance graphs (such as the Moser spindle) have a crossing in every representation as a unit distance graph. Additionally, in the context of unit distance graphs, the term 'planar' should be used with care, as some authors use it to refer to the plane in which the ...
Memorial in Utica, Indiana. As of the census [3] of 2000, there were 591 people, 254 households, and 164 families living in the town. The population density was 1,361.7 inhabitants per square mile (525.8/km 2). There were 279 housing units at an average density of 642.8 per square mile (248.2/km 2).
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You could say Richard Plaud's dreams of making the world's tallest matchstick sculpture may have gone up in smoke. Man who spent years building Eiffel Tower with 700K matchsticks denied world ...
As Market Streets proceeds eastward out of the district, it becomes known as Utica Pike near the Howard Steamboat Museum and connects Jeffersonville with Utica, Indiana. [14] North of Market Street, few buildings remain that date before 1850, making the character of the district during the early time frame unknowable. [10]