Square pyramid (EntityTopic, 23)

From Hi.gher. Space

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{{Shape|Square pyramid|''No image''|3|5, 8, 5|0|N/A|N/A|G4P|11<sup>1</sup> xy<sup>z</sup>|N/A|N/A|''Self-dual''|6|N/A|N/A|pure|''Unknown''|''Unknown''|N/A|SSC}}
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{{STS Shape
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| dim=3
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| elements=5, 8, 5
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| genus=0
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| ssc=G4P
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| extra={{STS Rotope
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| attrib=pure
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| notation=11<sup>1</sup> xy<sup>z</sup>
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| index=6
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}}}}
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== Geometry ==
== Geometry ==
A '''square pyramid''' is a special case of a [[pyramid]] where the base is a [[square]].
A '''square pyramid''' is a special case of a [[pyramid]] where the base is a [[square]].

Revision as of 08:49, 14 March 2008


Geometry

A square pyramid is a special case of a pyramid where the base is a square.

Equations

  • Variables:
l ⇒ length of edges of the square pyramid
total edge length = 8l
surface area = l2(1+2√3)
volume = l36-1√2
[!x,!y] ⇒ triangle
[!z] ⇒ square


Notable Trishapes
Regular: tetrahedroncubeoctahedrondodecahedronicosahedron
Direct truncates: tetrahedral truncatecubic truncateoctahedral truncatedodecahedral truncateicosahedral truncate
Mesotruncates: stauromesohedronstauroperihedronstauropantohedronrhodomesohedronrhodoperihedronrhodopantohedron
Snubs: snub staurohedronsnub rhodohedron
Curved: spheretoruscylinderconefrustumcrind

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