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Is there a source for the notion that the word "diamond" is sometimes used specifically for the rhombus that has a 60° angle, rather than as a synonym for "rhombus"? In any case, not all diamonds on playing cards do have this angle. And the rhombus with a 60° angle is not exactly a "projection" of
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that the reference to octahedral projections is not correct. Also, playing card diamonds do not generally have 60° angles. On the other hand, I think the reference to "diamonds" having 60° angles is from the usage as a
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adjacent faces of an octahedron. Rather it is the 2D figure you get if you rotate one of the faces about their shared edge until it is coplanar with the other face. It is a part of a 2D
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Great! Thank you for being so quick! Uh... and, by any chance, from a pedagogical point of view, what about adding the other vertex angle expression:
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is the perpendicular distance between any two non-adjacent sides, which equals the diameter of the circle inscribed."
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This WP "Rhombus" article features a table classifying "Rhombic icosahedron" as having "Two types of rhombi";
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Oops! I forgot to provide the parameters of a web site providing the expression of the rhombus height
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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Semi-protected edit request on 27 November 2019 : Missing expression of rhombus inradius
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The following
Wikimedia Commons file used on this page has been nominated for deletion:
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it is just mentioned in the little caption under a figure of the article:
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Er... well, perhaps... what about adding a little note, something like:
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697:{\displaystyle r={{a\sin \alpha } \over 2}={{a\sin \beta } \over 2}}
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it can be sourced by the following website, where it is featured:
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of an octahedron. So the opening paragraph needs some amendment.
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A Commons file used on this page has been nominated for deletion
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Then, please add the missing expression of the rhombus height
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Um... or, maybe... why not adding the associate expression of
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571:{\displaystyle r={{p\cdot q} \over {2{\sqrt {p^{2}+q^{2}}}}}}
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Please add the missing expression of the rhombus inradius:
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My last edit request section seems to be deactivated...
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Please add the missing expression of the rhombus height
796:{\displaystyle r={{a\sin \alpha } \over 2}={h \over 2}}
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Furey, Edward. "Rhombus
Calculator"; CalculatorSoup,
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Furey, Edward. "Rhombus
Calculator"; CalculatorSoup,
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can also be expressed in terms of the rhombus height
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1334:{\displaystyle K={\frac {h^{2}}{\sin \alpha }}}
397:Participate in the deletion discussion at the
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1395:Something must be clarified, somewhere...!
1389:the WP "Rhombic icosahedron" article says:
1253:the rhombus article uses the rhombus height
1117:{\displaystyle h=a\sin \alpha =a\sin \beta }
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876:{\displaystyle r={h \over 2}}
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1284:{\displaystyle K=a\cdot h}
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1196:2
1193:h
1188:=
1185:r
1165:r
1162:2
1159:=
1156:h
1144:r
1140:h
1103:a
1100:=
1088:a
1085:=
1082:h
1070:a
1066:h
1050:h
1034:(
1020:(
992::
980:)
966:a
963:=
951:a
948:=
945:h
940:(
926:a
922:h
907:(
883:?
869:2
866:h
861:=
858:r
848::
846:h
842:r
822:(
803:?
789:2
786:h
781:=
776:2
763:a
757:=
754:r
744::
742:h
738:r
723:(
704:?
690:2
677:a
671:=
666:2
653:a
647:=
644:r
619:(
615:–
594:(
559:2
555:q
551:+
546:2
542:p
536:2
531:q
525:p
519:=
516:r
494:2
490:a
484:)
472:(
466:=
463:r
405:(
366:.
265::
191:1
188::
172:·
166:·
158:·
151:·
145:·
139:·
133:·
128:(
58:.
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