[math-fun] name for 1/8 of sphere
A friend who is a sculptor asked me if there is a name for the shape of the 8 pieces a solid sphere would fall into if you cut it with 3 mutually perpendicular planes through the center. I couldn't think of any but thought I would ask here. And more generally, is there a name for a 'spherical wedge' bounded by a spherical triangle and the planar faces from the center containing the triangle's edges? Thanks for any help on this. Jim
Often people just say "octant" even though this refers to an eighth-plane rather than just the part of the unit sphere in it. Charles Greathouse Analyst/Programmer Case Western Reserve University On Tue, Jul 31, 2012 at 3:09 PM, James Buddenhagen <jbuddenh@gmail.com> wrote:
A friend who is a sculptor asked me if there is a name for the shape of the 8 pieces a solid sphere would fall into if you cut it with 3 mutually perpendicular planes through the center. I couldn't think of any but thought I would ask here. And more generally, is there a name for a 'spherical wedge' bounded by a spherical triangle and the planar faces from the center containing the triangle's edges?
Thanks for any help on this.
Jim
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I personally like the sound of 'semidemihemisphere', since it's completely unambiguous. Also, you can have any permutation of the prefixes, since 'hemi-', 'demi-' and 'semi-' are equivalent and commutative. Sincerely, Adam P. Goucher
Is this related to a "demimonde" ? http://en.wikipedia.org/wiki/Demimonde Perhaps a half-assed, semi-stable, demi-monde? At 01:32 PM 7/31/2012, Adam P. Goucher wrote:
I personally like the sound of 'semidemihemisphere', since it's completely unambiguous. Also, you can have any permutation of the prefixes, since 'hemi-', 'demi-' and 'semi-' are equivalent and commutative.
Sincerely,
Adam P. Goucher
Let's call it a 3-sector, in analogy to the usual pie-slice called a sector. Brent Meeker On 7/31/2012 5:34 PM, Henry Baker wrote:
Is this related to a "demimonde" ?
http://en.wikipedia.org/wiki/Demimonde
Perhaps a half-assed, semi-stable, demi-monde?
At 01:32 PM 7/31/2012, Adam P. Goucher wrote:
I personally like the sound of 'semidemihemisphere', since it's completely unambiguous. Also, you can have any permutation of the prefixes, since 'hemi-', 'demi-' and 'semi-' are equivalent and commutative.
Sincerely,
Adam P. Goucher
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Completely unambiguously, in standard terminology, it's a "right spherical equilateral triangle". I like hemidemisemisphere (in that order), by analogy with hemidemisemiquaver. Spherical octant ought to work, too. --Dan On 2012-07-31, at 12:09 PM, James Buddenhagen wrote:
A friend who is a sculptor asked me if there is a name for the shape of the 8 pieces a solid sphere would fall into if you cut it with 3 mutually perpendicular planes through the center. I couldn't think of any but thought I would ask here. And more generally, is there a name for a 'spherical wedge' bounded by a spherical triangle and the planar faces from the center containing the triangle's edges?
P.S. The term "spherical octant" has a number of citations from peer-reviewed journals, 66 on Google Scholar, and 484 on vanilla Google, so it's probably "officially" correct. On 2012-07-31, at 6:33 PM, Dan Asimov wrote:
Completely unambiguously, in standard terminology, it's a "right spherical equilateral triangle".
I like hemidemisemisphere (in that order), by analogy with hemidemisemiquaver.
Spherical octant ought to work, too.
--Dan
On 2012-07-31, at 12:09 PM, James Buddenhagen wrote:
A friend who is a sculptor asked me if there is a name for the shape of the 8 pieces a solid sphere would fall into if you cut it with 3 mutually perpendicular planes through the center. I couldn't think of any but thought I would ask here. And more generally, is there a name for a 'spherical wedge' bounded by a spherical triangle and the planar faces from the center containing the triangle's edges?
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Thanks to all. I'll go with "spherical octant", per Dan's P.S. although I must say "hemidemisemisphere" has a really nice ring to it. :) --Jim On Tue, Jul 31, 2012 at 9:10 PM, Dan Asimov <dasimov@earthlink.net> wrote:
P.S. The term "spherical octant" has a number of citations from peer-reviewed journals, 66 on Google Scholar, and 484 on vanilla Google, so it's probably "officially" correct.
participants (6)
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Adam P. Goucher -
Charles Greathouse -
Dan Asimov -
Henry Baker -
James Buddenhagen -
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