| Octagon | |
|---|---|
| Developer(s) | Lukas Korba |
| Platform(s) | |
| Genre(s) | arcade game |
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Octagon (fully titled Octagon – A Minimal Arcade Game with Maximum Challenge) is a minimalist twitch-reflex video game by Lukas Korba.[1]
Gameplay[edit]
Octagon tasks the player with controlling an octagon in an octagonal world without falling off.[2] There are an infinite number of levels player can play in with the goal of completing the level with out falling off.[3][2] These levels increase in complexity as the player completes levels.[4] The game has 3 controls which the player must use to complete a level which are tapping or swiping left or right to move left or right and swiping upwards to clear vertical gaps.[3]
There is also an endless mode where the player is tasked with the task of controlling the octagon for as long as possible before falling off.[5]
Reception[edit]
Octagon received mixed reviews. Apple'N'Apps gave the game 3.0 out of 5, praising the game's 'great design work,' 'extreme challenge from the outset,' and 'intuitive controls,' while criticizing the lack of variety, the fact that the 'controls can cause mix-ups,' and the 'intrinsic repetition to complete levels.'[4]
Sequel[edit]
A sequel was released on May 6, 2020.[6]
See also[edit]
References[edit]
- ^Author, AppAdvice Staff (2013-11-07). 'Think Fast To Avoid Failure In Octagon, A Game That Will Test Your Reflexes'. AppAdvice. Retrieved 2017-05-13.
- ^ ab'Octagon Review'. Arcade Sushi. Retrieved 2017-03-13.
- ^ ab'Octagon for iPhone and iPad is easy to pick up and play, but insanely addictive'. iMore. Retrieved 2017-03-13.
- ^ ab'Octagon - What Goes Around Comes Around - AppleNApps'. AppleNApps. Retrieved 2017-03-13.
- ^'Octagon, not your typical Windows Phone endless runner game'. Windows Central. Retrieved 2017-03-13.
- ^'Octagon 2: Extreme Evolution'. Metacritic. Retrieved 2020-05-27.
External links[edit]
- http://www.octagongame.com - Official website
| Look up octagram in Wiktionary, the free dictionary. |
| Regular octagram | |
|---|---|
| Type | Regular star polygon |
| Edges and vertices | 8 |
| Schläfli symbol | {8/3} t{4/3} |
| Coxeter diagram | |
| Symmetry group | Dihedral (D8) |
| Internal angle (degrees) | 45° |
| Dual polygon | self |
| Properties | star, cyclic, equilateral, isogonal, isotoxal |
In geometry, an octagram is an eight-angled star polygon.
The name octagram combine a Greek numeral prefix, octa-, with the Greek suffix -gram. The -gram suffix derives from γραμμή (grammḗ) meaning 'line'.[1]
Detail[edit]
In general, an octagram is any self-intersecting octagon (8-sided polygon).
The regular octagram is labeled by the Schläfli symbol {8/3}, which means an 8-sided star, connected by every third point.
Variations[edit]
These variations have a lower dihedral, Dih4, symmetry:
Narrow Wide (45 degree rotation) | Isotoxal | An old Flag of Chile contained this octagonal star geometry with edges removed (the Guñelve). | The geometry can be adjusted so 3 edges cross at a single point, like the Auseklis symbol | An 8-point compass rose can be seen as an octagonal star, with 4 primary points, and 4 secondary points. |
The symbol Rub el Hizb is a Unicode glyph ۞ at U+06DE.
As a quasitruncated square[edit]
Deeper truncations of the square can produce isogonal (vertex-transitive) intermediate star polygon forms with equal spaced vertices and two edge lengths. A truncated square is an octagon, t{4}={8}. A quasitruncated square, inverted as {4/3}, is an octagram, t{4/3}={8/3}.[2]
The uniform star polyhedronstellated truncated hexahedron, t'{4,3}=t{4/3,3} has octagram faces constructed from the cube in this way. It may be considered for this reason as a three-dimensional analogue of the octagram.
| Regular | Quasiregular | Isogonal | Quasiregular |
|---|---|---|---|
{4} | t{4}={8} | t'{4}=t{4/3}={8/3} | |
| Regular | Uniform | Isogonal | Uniform |
{4,3} | t{4,3} | t'{4,3}=t{4/3,3} |
Another three-dimensional version of the octagram is the nonconvex great rhombicuboctahedron (quasirhombicuboctahedron), which can be thought of as a quasicantellated (quasiexpanded) cube, t0,2{4/3,3}.
Star polygon compounds[edit]
There are two regular octagrammic star figures (compounds) of the form {8/k}, the first constructed as two squares {8/2}=2{4}, and second as four degenerate digons, {8/4}=4{2}. There are other isogonal and isotoxal compounds including rectangular and rhombic forms.
| Regular | Isogonal | Isotoxal | ||
|---|---|---|---|---|
a{8}={8/2}=2{4} | {8/4}=4{2} | |||
{8/2} or 2{4}, like Coxeter diagrams + , can be seen as the 2D equivalent of the 3D compound of cube and octahedron, + , 4D compound of tesseract and 16-cell, + and 5D compound of 5-cube and 5-orthoplex; that is, the compound of a n-cube and cross-polytope in their respective dual positions.
Other presentations of an octagonal star[edit]
An octagonal star can be seen as a concave hexadecagon, with internal intersecting geometry erased. It can also be dissected by radial lines.
| 2{4} |
|---|
| {8/3} |
Other uses[edit]
- In Unicode, the 'Eight Spoked Asterisk' symbol ✳ is U+2733.
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See also[edit]
3.25 Octagon Box
| Wikimedia Commons has media related to Octagrams. |
- Usage
- Rub el Hizb – Islamic character
- Star of Ishtar - symbol of the ancient Sumerian goddess Inanna and her East Semitic counterpart Ishtar and Roman Venus.
- Star of Lakshmi – Indian character
- Surya Majapahit – usage during Majapahit times in Indonesia to represent the Hindu gods of the directions
- Compass rose – usage in compasses to represent the cardinal directions for the eight principal winds
- Auseklis – usage of regular octagram by Latvians
- Guñelve – representation of Venus in Mapuche iconography.
- Selburose – usage of regular octagram in Norwegian design
- Stars generally
References[edit]
- ^γραμμή, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus
- ^The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History, (1994), Metamorphoses of polygons, Branko Grünbaum
- Grünbaum, B. and G.C. Shephard; Tilings and Patterns, New York: W. H. Freeman & Co., (1987), ISBN0-7167-1193-1.
- Grünbaum, B.; Polyhedra with Hollow Faces, Proc of NATO-ASI Conference on Polytopes ... etc. (Toronto 1993), ed T. Bisztriczky et al., Kluwer Academic (1994) pp. 43–70.
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN978-1-56881-220-5 (Chapter 26. pp. 404: Regular star-polytopes Dimension 2)
External links[edit]
- Weisstein, Eric W.'Octagram'. MathWorld.