Augmented truncated cube: Difference between revisions
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{{Short description|66th Johnson solid}} | {{Short description|66th Johnson solid (22 faces)}} | ||
{{Infobox polyhedron | {{Infobox polyhedron | ||
|image=augmented_truncated_cube.png | |image=augmented_truncated_cube.png | ||
|type=[[Johnson solid|Johnson]]<br>{{math|[[augmented truncated tetrahedron|''J''<sub>65</sub>]] – '''''J''<sub>66</sub>''' – [[biaugmented truncated cube|''J''<sub>67</sub>]]}} | |type=[[Johnson solid|Johnson]]<br>{{math|[[augmented truncated tetrahedron|''J''<sub>65</sub>]] – '''''J''<sub>66</sub>''' – [[biaugmented truncated cube|''J''<sub>67</sub>]]}} | ||
|faces= | |faces=3×4 [[triangle]]s <br> 1+4 [[square (geometry)|squares]] <br> 1+4 [[octagon]]s | ||
|edges=48 | |edges=48 | ||
|vertices=28 | |vertices=28 | ||
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{{Johnson solid}} | {{Johnson solid}} | ||
[[File:J66 augmented truncated cube.stl|thumb|3D model of an augmented truncated cube]] | |||
==References== | == References == | ||
{{reflist}} | |||
* {{cite book|author=Victor A. Zalgaller|author-link=Victor Zalgaller|title=Convex Polyhedra with Regular Faces|publisher=Consultants Bureau|year=1969|id=No ISBN}} The first proof that there are only 92 Johnson solids. | |||
* {{ | |||
{{Johnson | == External links == | ||
* {{Mathworld2 | urlname2 = JohnsonSolid | title2 = Johnson solid | urlname = AugmentedTruncatedCube | title = Augmented truncated cube}} | |||
{{Johnson solids}} | |||
{{Polyhedron-stub}} | |||
[[Category:Johnson solids]] | [[Category:Johnson solids]] | ||
Latest revision as of 19:52, 30 December 2025
Template:Short description Script error: No such module "Infobox".Template:Template other
In geometry, the augmented truncated cube is one of the Johnson solids (J66Script error: No such module "Check for unknown parameters".). As its name suggests, it is created by attaching a square cupola (J4Script error: No such module "Check for unknown parameters".) onto one octagonal face of a truncated cube.
References
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Script error: No such module "Check for unknown parameters".
- Script error: No such module "citation/CS1". The first proof that there are only 92 Johnson solids.