Poligon terbuka yang salah satu ujungnya terikat oleh azimuth saja, sedangkan ujung yang lain tidak terikat sama sekali. Poligon semacam ini dapat dihitung dari azimuth awal dan yang diketahui dan sudut-sudut poligon yang diukur, sedangkan koordinat dari masingmasing titiknya masih lokal. Bersepeda adalah olahraga yang menyenangkan. Bahkan bisa dilakukan berkelompok, sehingga cocok untuk Anda yang suka bersosialisasi. Selain itu, bersepeda juga dapat menjadi olahraga pilihan untuk yang suka dengan tantangan. Tentunya, dengan harga sepeda yang cukup mahal, Anda perlu memperhatikan kualitas dari sepeda yang ingin dibeli. Ini dia rekomendasi dari BP-Guide untuk merek. Nama poligon menentukan banyaknya sisi yang dimiliki. Nama dalam bahasa Indonesia mudah dikenali karena Anda cukup melihat kata setelah kata segi (misalnya segi empat, yang berarti poligon memiliki empat sisi). Namun, poligon terkadang dituliskan sesuai nama dari serapan bahasa Latinnya (misalnya pentagon atau heksagon).
Cari Poligon dalam Wikikamus bahasa Melayu, kamus bebas. |
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TAKRIF POLIGON SUDUT DALAM POLIGON SEKATA DAN TIDAK SEKATA LUAS DAN PERIMETER POLIGON 2. Bentuk dua matra yang tertutup dgn garis lurus sebagai sisinya Diberi nama bergantung pada bilangan sisi Terdapat 2 jenis poligon: 1. Poligon sekata 2. Poligan tidak sekata 3.
Nama dan jenis[sunting | sunting sumber]
Poligon adalah dinamakan mengikut pada jumlah tepi, bergabung satu yunani-terbitan awalan angka dengan akhiran -gon. Contoh pentagon, dodekagon. Segi tiga, sisi empat, dan nonagon adalah pengecualian-pengecualian. Untuk nombor-nombor lebih besar, ahli matematik menulis angka sendiri, contoh 17-gon. Satu variabel boleh juga digunakan, biasanya n gon. Ini adalah jika jumlah berguna bagi tepi adalah digunakan dalam satu formula.
Nama | Bilangan sisi |
---|---|
henagon (atau monogon) | 1 |
digon | 2 |
segi tiga (atau trigon) | 3 |
segi empat (atau tetragon) | 4 |
pentagon | 5 |
heksagon (atau seksagon) | 6 |
heptagon (elakkan 'septagon' = Latin [sept-] + Greek) | 7 |
oktagon | 8 |
nonagon (atau enneagon) | 9 |
dekagon | 10 |
hendekagon (elakkan 'undekagon' = Latin [un-] + Greek) | 11 |
dodekagon (elakkan 'duodekagon' = Latin [duo-] + Greek) | 12 |
tridekagon atau triskaidekagon(MathWorld) | 13 |
tetradekagon atau tetrakaidekagon interal angle approx 154.2857 degrees.(MathWorld) | 14 |
pentadekagon (atau quindekagon) atau pentakaidekagon | 15 |
heksadekagon atau heksakaidekagon | 16 |
heptadekagon atau heptakaidekagon | 17 |
oktadekagon atau oktakaidekagon | 18 |
enneadekagon atau enneakaidekagon atau nonadekagon | 19 |
ikosagon | 20 |
triakontagon | 30 |
tetrakontagon | 40 |
pentakontagon | 50 |
60 | |
heptakontagon | 70 |
oktakontagon | 80 |
nonakontagon | 90 |
hektagon (juga hektogon) (elakkan 'sentagon' = Latin [cent-] + Greek) | 100 |
chiliagon | 1000 |
myriagon | 10,000 |
decemyriagon | 100,000 |
hecatommyriagon (atau hekatommyriagon) | 1,000,000 |
Penamaan poligon[sunting | sunting sumber]
Poligon yang mempunyai sisi lebih daripada 20 sisi dan kurang daripada 100 sisi dinamakan dengan menggunakan gabungan kata nama berikut:
Angka Puluh | dan | Angka Sa | Imbuhan Akhir | ||
---|---|---|---|---|---|
-kai- | 1 | -hena- | -gon | ||
20 | icosa- | 2 | -di- | ||
30 | triaconta- | 3 | -tri- | ||
40 | tetraconta- | 4 | -tetra- | ||
50 | pentaconta- | 5 | -penta- | ||
60 | hexaconta- | 6 | -hexa- | ||
70 | heptaconta- | 7 | -hepta- | ||
80 | octaconta- | 8 | -octa- | ||
90 | enneaconta- | 9 | -ennea- |
Contohnya, untuk poligon bersisi 42 akan dinamakan seperti berikut:
Angka puluh | dan | Angka sa | Imbuhan akhir | Nama penuh Poligon |
---|---|---|---|---|
tetraconta- | -kai- | -di- | -gon | tetracontakaidigon |
dan untuk objek bersisi 50
Angka Puluh | dan | Angka Sa | Imbuhan akhir | Nama penuh Poligon |
---|---|---|---|---|
pentaconta- | -gon | pentacontagon |
Namun begitu, poligon yang melebihi nonagons dan decagons, pakar matematik lebih gemar menggunakan aforementioned numeral notation (contohnya, MathWorld mempunyai artikel berkenaan 17-gons dan 257-gons).
Klasifikasi taxonomi[sunting | sunting sumber]
Taksonomi klasifikasi poligon ditunjukkan melalui gambarajah di bawah:
- A polygon is called simple if it is described by a single, non-intersecting boundary (hence has an inside and an outside); otherwise it is called complex.
- A simple polygon is called convex if it has no internal angles greater than 180°; otherwise it is called concave or non-convex.
- A simple polygon is called equilateral if all edges are of the same length. (A 5 or more sided polygon can be concave and equilateral)
- A convex polygon is called concyclic or a cyclic polygon if all the vertices lie on a single circle.
- A cyclic and equilateral polygon is called regular; for each number of sides, all regular polygons with the same number of sides are similar.
- A simple polygon may also be defined as regular if it is cyclic and equilateral.
Ciri-ciri[sunting | sunting sumber]
We will assume Euclidean geometry throughout.
An n-gon has 2ndegrees of freedom, including 2 for position and 1 for rotational orientation, and 1 for over-all size, so 2n-4 for shape.
In the case of a line of symmetry the latter reduces to n-2.
Let k≥2. For an nk-gon with k-fold rotational symmetry (Ck), there are 2n-2 degrees of freedom for the shape. With additional mirror-image symmetry (Dk) there are n-1 degrees of freedom.
Nama Poligon 7 Sudut
Sudut[sunting | sunting sumber]
Any polygon, regular or irregular, complex or simple, has as many angles as it has sides. The sum of the inner angles of a simple n-gon is (n−2)πradians (or (n−2)180°), and the inner angle of a regular n-gon is (n−2)π/n radians (or (n−2)180°/n, or (n−2)/(2n) turns). This can be seen in two different ways:
- Moving around a simple n-gon (like a car on a road), the amount one 'turns' at a vertex is 180° minus the inner angle. 'Driving around' the polygon, one makes one full turn, so the sum of these turns must be 360°, from which the formula follows easily. The reasoning also applies if some inner angles are more than 180°: going clockwise around, it means that one sometime turns left instead of right, which is counted as turning a negative amount. (Thus we consider something like the winding number of the orientation of the sides, where at every vertex the contribution is between -1/2 and 1/2 winding.)
- Any simple n-gon can be considered to be made up of (n−2) triangles, each of which has an angle sum of π radians or 180°.
Moving around an n-gon in general, the total amount one 'turns' at the vertices can be any integer times 360°, e.g. 720° for a pentagram and 0° for an angular 'eight'. See also orbit (dynamics).
Keluasan[sunting | sunting sumber]
The areaA of a simple polygon can be computed if the cartesian coordinates (x1, y1), (x2, y2), ..., (xn, yn) of its vertices, listed in order as the area is circulated in counter-clockwise fashion, are known. The formula is
- A = ½ · (x1y2 − x2y1 + x2y3 − x3y2 + ... + xny1 − x1yn)
- = ½ · (x1(y2 − yn) + x2(y3 − y1) + x3(y4 − y2) + ... + xn(y1 − yn−1))
The formula was described by Meister in 1769 and by Gauss in 1795. It can be verified by dividing the polygon into triangles, but it can also be seen as a special case of Green's theorem.
If the polygon can be drawn on an equally-spaced grid such that all its vertices are grid points, Pick's theorem gives a simple formula for the polygon's area based on the numbers of interior and boundary grid points.
If any two simple polygons of equal area are given, then the first can be cut into polygonal pieces which can be reassembled to form the second polygon. This is the Bolyai-Gerwien theorem.
Concyclic[sunting | sunting sumber]
All regular polygons are concyclic, as are all triangles and rectangles (see circumcircle).
Titik dalam ujian polygon[sunting | sunting sumber]
In computer graphics and computational geometry, it is often necessary to determine whether a given point P = (x0,y0) lies inside a simple polygon given by a sequence of line segments. It is known as Point in polygon test.
Kotak istimewa[sunting | sunting sumber]
Some special cases are:
- Angle of 0° or 180° (degenerate case)
- Two non-adjacent sides are on the same line
- Equilateral polygon: a polygon whose sides are equal (Williams 1979, pp. 31-32)
- Equiangular polygon: a polygon whose vertex angles are equal (Williams 1979, p. 32)
A triangle is equilateral iff it is equiangular.
An equilateral quadrilateral is a rhombus, an equiangular quadrilateral is a rectangle or an 'angular eight' with vertices on a rectangle.
Pautan luar[sunting | sunting sumber]
- Draw n Polygons Applet to draw a polygon with n vertices.
- [1] More information
Lihat juga[sunting | sunting sumber]
Formation | February 17, 2014; 6 years ago |
---|---|
Dissolved | December 1, 2019; 12 months ago |
Location |
|
Coordinates | 46°02′48″N14°29′07″E / 46.046722°N 14.485378°ECoordinates: 46°02′48″N14°29′07″E / 46.046722°N 14.485378°E |
Website | poligon.si |
Poligon Creative Centre (Slovene: Poligon kreativni center, commonly known as Poligon) was creative centre in Slovenia and the first and largest coworking space in Slovenia.[1][2][3][4] It was a training ground for creative communities and self-employed operating in the field of creative economies, social entrepreneurship and culture in Ljubljana, Slovenia, and it was placed inside the former tobacco factory, Tobačna Ljubljana.[5][6][7] The Slovenia Crowdfunding Initiative was based out of the center.[8]
History[edit]
Nama Poligon 9 Sisi
Poligon was established in February 2014[9] by Slovenia Coworking (Luka Piškorič, Eva Perčič, Marko Orel) - national initiative for popularization of coworking in Slovenia with the help of supporting communities: Slovenia Crowdfunding, Kreativna cona Šiška, and Ljudje.si.
Poligon was created with the goal of promoting opportunities for self-employment of creative professionals in Ljubljana.[8] Poligon offers a coworking space for its community, makerspace, a crowdfunding lab, a classroom, a bar, a library, a gallery space, and organizes many social and cultural events. It is part of the international coworking exchange program in cooperation with coworking spaces across Europe.[3]
Poligon was run by their three co-founders Piškorič, Orel, and Perčič (Matjaž).
Poligon ceased all of its operations 2019.[10]
Nama Poligon 10 Sisi
Facilities[edit]
Poligon's space is 1200m2.[11] Besides offering a workspace, Poligon also holds workshops for self-employed entrepreneurs and makers, exhibitions as well as social events.[12]
Notable events[edit]
Since its founding, Poligon has had a positive impact on the creative sector in Slovenia.[13]
In 2015, Poligon was featured as part of the Remote Year program.[14]
References[edit]
- ^Košak, Lemen (2 June 2015). 'Premalo radikalno: Prostor za prekarne delavce bo še obstajal'. Mladina (6). Retrieved 26 June 2016.
- ^Gabrijan, Pina (December 2015). 'Future Perfect: Training Ground for Creative Communities'. Goethe-Institut. Retrieved 26 June 2016.
- ^ ab'Poligon, ki v državo privablja milijone, pred zaprtjem: Središče za sodelo in množično financiranje'. Radio-Television Slovenia. 7 February 2015. Retrieved 26 June 2016.
- ^STA (23 September 2015). 'Old Ljubljana Tobacco Factory Turning into New Art Centre'. The Slovenia Times. Retrieved 26 June 2016.
- ^Košak, Klemen (21 March 2016). 'Pisarna za prekarce: Coworking je odziv na razmah ustvarjalnega in prožnega dela'. Mladina (12). Retrieved 26 June 2014.
- ^'V ljubljanski Tobačni zaživel prvi slovenski kreativni center Poligon'. Siol. 13 February 2014. Retrieved 26 June 2016.
- ^Krajčinović, Nina (22 February 2012). 'Poligon, vadbišče za samozaposlene profesionalce'. Delo. Retrieved 26 June 2016.
- ^ abMesku, Melissa (17 July 2014). 'Creating value through crowdfunding and collaboration'. New Worker Magazine. Retrieved 26 June 2016.
- ^Kranjec, Mankica (16 February 2012). 'Jutri bo zaživel prvi slovenski kreativni center Poligon'. Delo. Retrieved 26 June 2016.
- ^'Poligon Alarko Servis ..444'1'494.. Alarko Poligon Servis Özel Tamir Servisi'. 2012-03-15. doi:10.4016/46042.01.Cite journal requires
|journal=
(help) - ^'Poligon Creative Centre'. Culture of Slovenia. Retrieved 26 June 2016.
- ^Perčič, Eva (3 June 2014). 'Poligon, The First Creative Centre in Slovenia: Coworking Movement Plays A Key Role In The Times Of Increasing Precarious Work'. Kreazin (1). Retrieved 26 June 2016.
- ^Gray, Amanda (15 April 2015). 'Take Five: The Creative Side of Ljubljana, Slovenia'. Paste. Retrieved 26 June 2016.
- ^'Not Alone... In Ljubljana'. Remote Year. 6 July 2015. Retrieved 26 June 2016.
External links[edit]
Wikimedia Commons has media related to Poligon Kreativni Center. |
This article incorporates material from the Culture.si entry 'Poligon Creative Centre', licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License but not under the GFDL.