Conic diprism (EntityTopic, 11)
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A '''conic diprism''' is a special case of a [[prism]] where the base is a [[coninder]]. It is also a special case of a [[diprism]] where the base is a [[cone]]. It is bounded by four coninders, a [[cubinder]] and a [[cubindrogram]]. | A '''conic diprism''' is a special case of a [[prism]] where the base is a [[coninder]]. It is also a special case of a [[diprism]] where the base is a [[cone]]. It is bounded by four coninders, a [[cubinder]] and a [[cubindrogram]]. | ||
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total surface area = ''Unknown''<br> | total surface area = ''Unknown''<br> | ||
surcell volume = ''Unknown''<br> | surcell volume = ''Unknown''<br> | ||
| - | surteron bulk = ''Unknown''< | + | surteron bulk = ''Unknown''<br> |
pentavolume = πr<sup>2</sup>hl<sup>2</sup>3<sup>-1</sup></blockquote> | pentavolume = πr<sup>2</sup>hl<sup>2</sup>3<sup>-1</sup></blockquote> | ||
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{{Pentashapes}} | {{Pentashapes}} | ||
| - | {{ | + | {{Tapertope Nav|50|51|52|21<sup>2</sup><br>Cyltetrahedrinder|112<sup>1</sup><br>Conic diprism|11[11]<sup>1</sup><br>Square pyramidal diprism|tera}} |
Latest revision as of 23:02, 11 February 2014
A conic diprism is a special case of a prism where the base is a coninder. It is also a special case of a diprism where the base is a cone. It is bounded by four coninders, a cubinder and a cubindrogram.
Equations
- Variables:
r ⇒ radius of base of conic diprism
h ⇒ height of conic diprism
l ⇒ length of conic diprism
- The hypervolumes of a conic diprism are given by:
total edge length = Unknown
total surface area = Unknown
surcell volume = Unknown
surteron bulk = Unknown
pentavolume = πr2hl23-1
- The flunic cross-sections (n) of a conic diprism are:
[!x,!y] ⇒ Unknown
[!z] ⇒ cubinder of radius (r-rnh-1) and height l
[!w,!φ] ⇒ coninder of base radius r, height h and length l
| Notable Pentashapes | |
| Flat: | pyroteron • aeroteron • geoteron |
| Curved: | tritorus • pentasphere • glone • cylspherinder • tesserinder |
| 50. 212 Cyltetrahedrinder | 51. 1121 Conic diprism | 52. 11[11]1 Square pyramidal diprism |
| List of tapertopes | ||
