Digon (EntityTopic, 18)
From Hi.gher. Space
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<[#ontology [kind topic] [cats Hypercube]]> | <[#ontology [kind topic] [cats Hypercube]]> | ||
{{STS Shape | {{STS Shape | ||
| - | | image=<[# | + | | image=<[#embed [hash 76ARJ0KWJPGETCCXSNWQ813V9M]]> |
| dim=1 | | dim=1 | ||
| - | | elements=2 | + | | elements=2 [[point]]s |
| ssc=x | | ssc=x | ||
| ssc2=M1 | | ssc2=M1 | ||
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}}{{STS Bracketope | }}{{STS Bracketope | ||
| index=1 | | index=1 | ||
| + | | notation=I | ||
}}{{STS Uniform polytope | }}{{STS Uniform polytope | ||
| schlaefli={} | | schlaefli={} | ||
| + | | dynkin=x | ||
| vfigure=[[Point]] | | vfigure=[[Point]] | ||
}}}} | }}}} | ||
| - | |||
A '''digon''', also known as a ''line segment'' and sometimes incorrectly referred to as a [[line]], is the only [[shape]] possible in the first dimension. A digon has no depth or width, only length. | A '''digon''', also known as a ''line segment'' and sometimes incorrectly referred to as a [[line]], is the only [[shape]] possible in the first dimension. A digon has no depth or width, only length. | ||
If a digon is extruded into the second dimension, the resulting shape will be a [[square]]. | If a digon is extruded into the second dimension, the resulting shape will be a [[square]]. | ||
| + | |||
| + | A digon is also known as a ditelon and a dyad. | ||
| + | |||
| + | <[#polytope [id -2]]> | ||
{{Hypercubes|1}} | {{Hypercubes|1}} | ||
{{Tapertope Nav|0|1|2|0<br>Point|1<br>Digon|2<br>Circle}} | {{Tapertope Nav|0|1|2|0<br>Point|1<br>Digon|2<br>Circle}} | ||
{{Bracketope Nav|0|1|2|''Empty string''<br>Point|I<br>Digon|[II]<br>Square}} | {{Bracketope Nav|0|1|2|''Empty string''<br>Point|I<br>Digon|[II]<br>Square}} | ||
Latest revision as of 22:22, 17 January 2018
A digon, also known as a line segment and sometimes incorrectly referred to as a line, is the only shape possible in the first dimension. A digon has no depth or width, only length.
If a digon is extruded into the second dimension, the resulting shape will be a square.
A digon is also known as a ditelon and a dyad.
Incidence matrix
Dual: Self-dual
| # | TXID | Va | Type | Name |
|---|---|---|---|---|
| 0 | Va | = point | ; | |
| 1 | Ea | 2 | = digon | ; |
| Hypercubes |
| point • digon • square • cube • geochoron • geoteron • geopeton |
| 0. 0 Point | 1. 1 Digon | 2. 2 Circle |
| List of tapertopes | ||
| 0. Empty string Point | 1. I Digon | 2. [II] Square |
| List of bracketopes | ||
