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plurals

POFind the projection of a vector on the icosahedron or on its unfolded surface
primarykey
Id
4821350
data
AcceptedAnswerId
4831610
AnswerCount
2
ClosedDate
CommentCount
2
CommunityOwnedDate
CreationDate
2011-01-27T20:15:12.463
FavoriteCount
2
LastActivityDate
2015-03-14T02:34:46.247
LastEditDate
2015-03-14T02:34:46.247
LastEditorUserId
1118321
OwnerUserId
411928
ParentId
0
PostTypeId
1
Score
3
ViewCount
1074
LastEditorDisplayName
text
Body
Consider a sphere with center in coordinates' origin, and an inscribed icosahedron, oriented such that the two most distant vertices lay on Z coordinate axis, and one of the edges emerging from any of that vertices lays in XZ plane. Consider a given vector <code>x</code> originating in the center of the sphere. Direction, given by this vector, pierce the surface of the icosahedron in a certain point. Is there an elegant way to find the pierced facet (considering all the facets are enumerated), and then find the piercing point on this facet? This task is needed to project the pierce point to the flat unfolded (unwrapped) icosahedron surface.
Tags
<3d><geometry><computational-geometry>
Title
Find the projection of a vector on the icosahedron or on its unfolded surface
singulars
PostAcceptedAnswerId
1. PO
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 PTAnswer
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1. This table or related slice is empty.
PostTypePostTypeId
1. PTQuestion
UserLastEditorUserId
1. USuser1118321
UserOwnerUserId
1. USmbaitoff
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1. This table or related slice is empty.
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1. PO
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2. PO
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1. VO
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 POFind the projection of a vector on the icosahedron or on its unfolded surface
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 VTUpMod
2. VO
 singulars
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 POFind the projection of a vector on the icosahedron or on its unfolded surface
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 This table or related slice is empty.
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 VTUpMod
3. VO
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 POFind the projection of a vector on the icosahedron or on its unfolded surface
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 US6502
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 VTFavorite
CommentsPostId
1. COCan you tell us a little bit about your coordinate system? That might save some time.
 singulars
 PostPostId
 POFind the projection of a vector on the icosahedron or on its unfolded surface
 UserUserId
 USChris B. Behrens
2. COIt's cartesian, 3D. We may freely transform into any other in the solution if it's convenient.
 singulars
 PostPostId
 POFind the projection of a vector on the icosahedron or on its unfolded surface
 UserUserId
 USmbaitoff

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