From: wolf Date: Fri, 2 Mar 2001 09:54:59 +0000 (+0000) Subject: Choose different weights for the new point on a quad and in the X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=763694aef56081e5fe9824df302b0060b476e859;p=dealii-svn.git Choose different weights for the new point on a quad and in the interior of a hex. git-svn-id: https://svn.dealii.org/trunk@4088 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/deal.II/source/grid/tria.cc b/deal.II/deal.II/source/grid/tria.cc index cfe83ed5b6..1140817c4b 100644 --- a/deal.II/deal.II/source/grid/tria.cc +++ b/deal.II/deal.II/source/grid/tria.cc @@ -4869,9 +4869,10 @@ void Triangulation<3>::execute_refinement () // the mean value of // the 4 vertices of // the face, but rather - // as the mean value of - // the 8 vertices which - // we already have (the + // as a weighted mean + // value of the 8 + // vertices which we + // already have (the // four old ones, and // the four ones // inserted as middle @@ -4883,13 +4884,26 @@ void Triangulation<3>::execute_refinement () // whether one of the // lines is at the // boundary + // + // note that the exact + // weights are chosen + // such as to minimize + // the distortion of + // the four new quads + // from the optimal + // shape; their + // derivation and + // values is copied + // over from the + // @p{MappingQ::set_laplace_on_vector} + // function vertices[next_unused_vertex] = (quad->vertex(0) + quad->vertex(1) + quad->vertex(2) + quad->vertex(3) + - quad->line(0)->child(0)->vertex(1) + - quad->line(1)->child(0)->vertex(1) + - quad->line(2)->child(0)->vertex(1) + - quad->line(3)->child(0)->vertex(1) ) / 8; + 3*(quad->line(0)->child(0)->vertex(1) + + quad->line(1)->child(0)->vertex(1) + + quad->line(2)->child(0)->vertex(1) + + quad->line(3)->child(0)->vertex(1)) ) / 16; // now that we created the right // point, make up the four @@ -5076,28 +5090,37 @@ void Triangulation<3>::execute_refinement () ExcTooFewVerticesAllocated()); vertices_used[next_unused_vertex] = true; - // the new vertex is definitely in - // the interior, so we need not - // worry about the boundary. - // let it be the average of - // the 26 vertices surrounding - // it + // the new vertex is + // definitely in the + // interior, so we need + // not worry about the + // boundary. let it be + // the average of the 26 + // vertices surrounding + // it. weight these + // vertices in the same + // way as they are + // weighted in the + // @p{MappingQ::set_laplace_on_hex_vector} + // function, and like the + // new vertex at the + // center of the quad is + // weighted (see above) vertices[next_unused_vertex] = Point(); // first add corners of hex for (unsigned int vertex=0; vertex::vertices_per_cell; ++vertex) - vertices[next_unused_vertex] += hex->vertex(vertex); + vertices[next_unused_vertex] += hex->vertex(vertex) / 128; // now add center of lines - for (unsigned int line=0; line<12; ++line) - vertices[next_unused_vertex] += hex->line(line)->child(0)->vertex(1); + for (unsigned int line=0; + line::lines_per_cell; ++line) + vertices[next_unused_vertex] += hex->line(line)->child(0)->vertex(1) * + 7./192.; // finally add centers of faces for (unsigned int face=0; face::faces_per_cell; ++face) - vertices[next_unused_vertex] += hex->face(face)->child(0)->vertex(2); - - // compute average - vertices[next_unused_vertex] /= 26; - + vertices[next_unused_vertex] += hex->face(face)->child(0)->vertex(2) * + 1./12.; // now that we created the right // point, make up the six diff --git a/deal.II/doc/news/2001/c-3-1.html b/deal.II/doc/news/2001/c-3-1.html index 10dda95c9b..ca2d8c3187 100644 --- a/deal.II/doc/news/2001/c-3-1.html +++ b/deal.II/doc/news/2001/c-3-1.html @@ -111,6 +111,17 @@ documentation, etc.

deal.II

    +
  1. + Changed: when refining a hexahedron in 3d, the rules by which + the new vertices at the centers of the faces and at the center + of the cell are placed, are changed. They are changed in a way + as to minimize the distortion of the resulting cells from the + optimal shape and to make them look as much alike as possible + to generate a smoother grid. +
    + (WB 2001/03/02) +

    +
  2. Fix: the DoFTools::compute_intergrid_constraints diff --git a/tests/deal.II/grid_test.checked b/tests/deal.II/grid_test.checked index f303f553fc..aa6377ae76 100644 --- a/tests/deal.II/grid_test.checked +++ b/tests/deal.II/grid_test.checked @@ -620,7 +620,7 @@ DEAL:Test1.dim3::Start 232 0.375 0.625 0.375 233 0.625 0.625 0.375 234 0.375 0.625 0.625 -235 0.438 0.438 0.438 +235 0.437 0.437 0.437 1 3 hex 1 28 40 29 30 41 46 42 2 3 hex 28 9 31 40 41 33 45 46 3 3 hex 40 31 21 32 46 45 37 44 @@ -856,26 +856,26 @@ DEAL:Test2.dim3::Start 103 0.750 1.00 0.250 104 0.750 1.00 0.750 105 0.250 1.00 0.750 -106 0.250 0.500 0.158 -107 0.750 0.500 0.158 -108 0.750 0.500 0.842 -109 0.250 0.500 0.842 +106 0.241 0.500 0.134 +107 0.759 0.500 0.134 +108 0.759 0.500 0.866 +109 0.241 0.500 0.866 110 0.250 0.250 0.500 111 0.750 0.250 0.500 112 0.750 0.750 0.500 113 0.250 0.750 0.500 -114 0.500 0.250 0.158 -115 0.500 0.750 0.158 -116 0.500 0.750 0.842 -117 0.500 0.250 0.842 -118 0.246 0.246 0.188 -119 0.754 0.246 0.188 -120 0.754 0.246 0.812 -121 0.246 0.246 0.812 -122 0.246 0.754 0.188 -123 0.754 0.754 0.188 -124 0.754 0.754 0.812 -125 0.246 0.754 0.812 +114 0.500 0.241 0.134 +115 0.500 0.759 0.134 +116 0.500 0.759 0.866 +117 0.500 0.241 0.866 +118 0.243 0.243 0.178 +119 0.757 0.243 0.178 +120 0.757 0.243 0.822 +121 0.243 0.243 0.822 +122 0.243 0.757 0.178 +123 0.757 0.757 0.178 +124 0.757 0.757 0.822 +125 0.243 0.757 0.822 126 0.125 0.00 0.00 127 0.375 0.00 0.00 128 0.625 0.00 0.00 @@ -1074,22 +1074,22 @@ DEAL:Test2.dim3::Start 321 0.375 1.00 0.750 322 0.250 1.00 0.875 323 0.125 1.00 0.750 -324 0.226 0.500 -0.0774 -325 0.375 0.500 0.113 -326 0.250 0.500 0.329 -327 0.125 0.500 0.204 -328 0.774 0.500 -0.0774 -329 0.875 0.500 0.204 -330 0.750 0.500 0.329 -331 0.625 0.500 0.113 -332 0.750 0.500 0.671 -333 0.875 0.500 0.796 -334 0.774 0.500 1.08 -335 0.625 0.500 0.887 -336 0.250 0.500 0.671 -337 0.375 0.500 0.887 -338 0.226 0.500 1.08 -339 0.125 0.500 0.796 +324 0.222 0.500 -0.0896 +325 0.371 0.500 0.101 +326 0.246 0.500 0.317 +327 0.121 0.500 0.192 +328 0.778 0.500 -0.0896 +329 0.879 0.500 0.192 +330 0.754 0.500 0.317 +331 0.629 0.500 0.101 +332 0.754 0.500 0.683 +333 0.879 0.500 0.808 +334 0.778 0.500 1.09 +335 0.629 0.500 0.899 +336 0.246 0.500 0.683 +337 0.371 0.500 0.899 +338 0.222 0.500 1.09 +339 0.121 0.500 0.808 340 0.250 0.125 0.500 341 0.375 0.250 0.500 342 0.250 0.375 0.500 @@ -1106,70 +1106,70 @@ DEAL:Test2.dim3::Start 353 0.375 0.750 0.500 354 0.250 0.875 0.500 355 0.125 0.750 0.500 -356 0.500 0.226 -0.0774 -357 0.500 0.375 0.113 -358 0.500 0.250 0.329 -359 0.500 0.125 0.204 -360 0.500 0.774 -0.0774 -361 0.500 0.875 0.204 -362 0.500 0.750 0.329 -363 0.500 0.625 0.113 -364 0.500 0.750 0.671 -365 0.500 0.875 0.796 -366 0.500 0.774 1.08 -367 0.500 0.625 0.887 -368 0.500 0.250 0.671 -369 0.500 0.375 0.887 -370 0.500 0.226 1.08 -371 0.500 0.125 0.796 -372 0.248 0.123 0.219 -373 0.373 0.248 0.173 -374 0.248 0.373 0.173 -375 0.123 0.248 0.219 -376 0.219 0.219 -0.0305 -377 0.248 0.248 0.344 -378 0.752 0.123 0.219 -379 0.877 0.248 0.219 -380 0.752 0.373 0.173 -381 0.627 0.248 0.173 -382 0.781 0.219 -0.0305 -383 0.752 0.248 0.344 -384 0.752 0.123 0.781 -385 0.877 0.248 0.781 -386 0.752 0.373 0.827 -387 0.627 0.248 0.827 -388 0.752 0.248 0.656 -389 0.781 0.219 1.03 -390 0.248 0.123 0.781 -391 0.373 0.248 0.827 -392 0.248 0.373 0.827 -393 0.123 0.248 0.781 -394 0.248 0.248 0.656 -395 0.219 0.219 1.03 -396 0.248 0.627 0.173 -397 0.373 0.752 0.173 -398 0.248 0.877 0.219 -399 0.123 0.752 0.219 -400 0.219 0.781 -0.0305 -401 0.248 0.752 0.344 -402 0.752 0.627 0.173 -403 0.877 0.752 0.219 -404 0.752 0.877 0.219 -405 0.627 0.752 0.173 -406 0.781 0.781 -0.0305 -407 0.752 0.752 0.344 -408 0.752 0.627 0.827 -409 0.877 0.752 0.781 -410 0.752 0.877 0.781 -411 0.627 0.752 0.827 -412 0.752 0.752 0.656 -413 0.781 0.781 1.03 -414 0.248 0.627 0.827 -415 0.373 0.752 0.827 -416 0.248 0.877 0.781 -417 0.123 0.752 0.781 -418 0.248 0.752 0.656 -419 0.219 0.781 1.03 +356 0.500 0.222 -0.0896 +357 0.500 0.371 0.101 +358 0.500 0.246 0.317 +359 0.500 0.121 0.192 +360 0.500 0.778 -0.0896 +361 0.500 0.879 0.192 +362 0.500 0.754 0.317 +363 0.500 0.629 0.101 +364 0.500 0.754 0.683 +365 0.500 0.879 0.808 +366 0.500 0.778 1.09 +367 0.500 0.629 0.899 +368 0.500 0.246 0.683 +369 0.500 0.371 0.899 +370 0.500 0.222 1.09 +371 0.500 0.121 0.808 +372 0.246 0.121 0.214 +373 0.371 0.242 0.156 +374 0.242 0.371 0.156 +375 0.121 0.246 0.214 +376 0.218 0.218 -0.0358 +377 0.246 0.246 0.339 +378 0.754 0.121 0.214 +379 0.879 0.246 0.214 +380 0.758 0.371 0.156 +381 0.629 0.242 0.156 +382 0.782 0.218 -0.0358 +383 0.754 0.246 0.339 +384 0.754 0.121 0.786 +385 0.879 0.246 0.786 +386 0.758 0.371 0.844 +387 0.629 0.242 0.844 +388 0.754 0.246 0.661 +389 0.782 0.218 1.04 +390 0.246 0.121 0.786 +391 0.371 0.242 0.844 +392 0.242 0.371 0.844 +393 0.121 0.246 0.786 +394 0.246 0.246 0.661 +395 0.218 0.218 1.04 +396 0.242 0.629 0.156 +397 0.371 0.758 0.156 +398 0.246 0.879 0.214 +399 0.121 0.754 0.214 +400 0.218 0.782 -0.0358 +401 0.246 0.754 0.339 +402 0.758 0.629 0.156 +403 0.879 0.754 0.214 +404 0.754 0.879 0.214 +405 0.629 0.758 0.156 +406 0.782 0.782 -0.0358 +407 0.754 0.754 0.339 +408 0.758 0.629 0.844 +409 0.879 0.754 0.786 +410 0.754 0.879 0.786 +411 0.629 0.758 0.844 +412 0.754 0.754 0.661 +413 0.782 0.782 1.04 +414 0.242 0.629 0.844 +415 0.371 0.758 0.844 +416 0.246 0.879 0.786 +417 0.121 0.754 0.786 +418 0.246 0.754 0.661 +419 0.218 0.782 1.04 420 0.125 0.00 0.125 421 0.375 0.00 0.125 422 0.375 0.00 0.375 @@ -1266,18 +1266,18 @@ DEAL:Test2.dim3::Start 513 0.375 1.00 0.625 514 0.375 1.00 0.875 515 0.125 1.00 0.875 -516 0.113 0.500 0.0238 -517 0.363 0.500 -0.113 -518 0.125 0.500 0.352 -519 0.637 0.500 -0.113 -520 0.887 0.500 0.0238 -521 0.875 0.500 0.352 -522 0.875 0.500 0.648 -523 0.887 0.500 0.976 -524 0.637 0.500 1.11 -525 0.125 0.500 0.648 -526 0.363 0.500 1.11 -527 0.113 0.500 0.976 +516 0.101 0.500 0.00204 +517 0.360 0.500 -0.122 +518 0.123 0.500 0.346 +519 0.640 0.500 -0.122 +520 0.899 0.500 0.00204 +521 0.877 0.500 0.346 +522 0.877 0.500 0.654 +523 0.899 0.500 0.998 +524 0.640 0.500 1.12 +525 0.123 0.500 0.654 +526 0.360 0.500 1.12 +527 0.101 0.500 0.998 528 0.125 0.125 0.500 529 0.375 0.125 0.500 530 0.125 0.375 0.500 @@ -1290,170 +1290,170 @@ DEAL:Test2.dim3::Start 537 0.125 0.625 0.500 538 0.375 0.875 0.500 539 0.125 0.875 0.500 -540 0.500 0.113 0.0238 -541 0.500 0.363 -0.113 -542 0.500 0.125 0.352 -543 0.500 0.637 -0.113 -544 0.500 0.887 0.0238 -545 0.500 0.875 0.352 -546 0.500 0.875 0.648 -547 0.500 0.887 0.976 -548 0.500 0.637 1.11 -549 0.500 0.125 0.648 -550 0.500 0.363 1.11 -551 0.500 0.113 0.976 -552 0.110 0.235 0.0473 -553 0.360 0.223 -0.0539 -554 0.374 0.249 0.337 -555 0.124 0.249 0.360 -556 0.124 0.124 0.235 -557 0.374 0.124 0.212 -558 0.374 0.374 0.143 -559 0.124 0.374 0.212 -560 0.235 0.110 0.0473 -561 0.223 0.360 -0.0539 -562 0.249 0.374 0.337 -563 0.249 0.124 0.360 -564 0.640 0.223 -0.0539 -565 0.890 0.235 0.0473 -566 0.876 0.249 0.360 -567 0.626 0.249 0.337 -568 0.626 0.124 0.212 -569 0.876 0.124 0.235 -570 0.876 0.374 0.212 -571 0.626 0.374 0.143 -572 0.765 0.110 0.0473 -573 0.777 0.360 -0.0539 -574 0.751 0.374 0.337 -575 0.751 0.124 0.360 -576 0.626 0.249 0.663 -577 0.876 0.249 0.640 -578 0.890 0.235 0.953 -579 0.640 0.223 1.05 -580 0.626 0.124 0.788 -581 0.876 0.124 0.765 -582 0.876 0.374 0.788 -583 0.626 0.374 0.857 -584 0.751 0.124 0.640 -585 0.751 0.374 0.663 -586 0.777 0.360 1.05 -587 0.765 0.110 0.953 -588 0.124 0.249 0.640 -589 0.374 0.249 0.663 -590 0.360 0.223 1.05 -591 0.110 0.235 0.953 -592 0.124 0.124 0.765 -593 0.374 0.124 0.788 -594 0.374 0.374 0.857 -595 0.124 0.374 0.788 -596 0.249 0.124 0.640 -597 0.249 0.374 0.663 -598 0.223 0.360 1.05 -599 0.235 0.110 0.953 -600 0.110 0.765 0.0473 -601 0.360 0.777 -0.0539 -602 0.374 0.751 0.337 -603 0.124 0.751 0.360 -604 0.124 0.626 0.212 -605 0.374 0.626 0.143 -606 0.374 0.876 0.212 -607 0.124 0.876 0.235 -608 0.223 0.640 -0.0539 -609 0.235 0.890 0.0473 -610 0.249 0.876 0.360 -611 0.249 0.626 0.337 -612 0.640 0.777 -0.0539 -613 0.890 0.765 0.0473 -614 0.876 0.751 0.360 -615 0.626 0.751 0.337 -616 0.626 0.626 0.143 -617 0.876 0.626 0.212 -618 0.876 0.876 0.235 -619 0.626 0.876 0.212 -620 0.777 0.640 -0.0539 -621 0.765 0.890 0.0473 -622 0.751 0.876 0.360 -623 0.751 0.626 0.337 -624 0.626 0.751 0.663 -625 0.876 0.751 0.640 -626 0.890 0.765 0.953 -627 0.640 0.777 1.05 -628 0.626 0.626 0.857 -629 0.876 0.626 0.788 -630 0.876 0.876 0.765 -631 0.626 0.876 0.788 -632 0.751 0.626 0.663 -633 0.751 0.876 0.640 -634 0.765 0.890 0.953 -635 0.777 0.640 1.05 -636 0.124 0.751 0.640 -637 0.374 0.751 0.663 -638 0.360 0.777 1.05 -639 0.110 0.765 0.953 -640 0.124 0.626 0.788 -641 0.374 0.626 0.857 -642 0.374 0.876 0.788 -643 0.124 0.876 0.765 -644 0.249 0.626 0.663 -645 0.249 0.876 0.640 -646 0.235 0.890 0.953 -647 0.223 0.640 1.05 -648 0.114 0.114 0.0795 -649 0.366 0.106 0.0265 -650 0.374 0.124 0.356 -651 0.124 0.124 0.367 -652 0.106 0.366 0.0265 -653 0.361 0.361 -0.0867 -654 0.124 0.374 0.356 -655 0.634 0.106 0.0265 -656 0.886 0.114 0.0795 -657 0.876 0.124 0.367 -658 0.626 0.124 0.356 -659 0.639 0.361 -0.0867 -660 0.894 0.366 0.0265 -661 0.876 0.374 0.356 -662 0.626 0.124 0.644 -663 0.876 0.124 0.633 -664 0.886 0.114 0.920 -665 0.634 0.106 0.973 -666 0.876 0.374 0.644 -667 0.894 0.366 0.973 -668 0.639 0.361 1.09 -669 0.124 0.124 0.633 -670 0.374 0.124 0.644 -671 0.366 0.106 0.973 -672 0.114 0.114 0.920 -673 0.124 0.374 0.644 -674 0.361 0.361 1.09 -675 0.106 0.366 0.973 -676 0.106 0.634 0.0265 -677 0.361 0.639 -0.0867 -678 0.124 0.626 0.356 -679 0.114 0.886 0.0795 -680 0.366 0.894 0.0265 -681 0.374 0.876 0.356 -682 0.124 0.876 0.367 -683 0.639 0.639 -0.0867 -684 0.894 0.634 0.0265 -685 0.876 0.626 0.356 -686 0.634 0.894 0.0265 -687 0.886 0.886 0.0795 -688 0.876 0.876 0.367 -689 0.626 0.876 0.356 -690 0.876 0.626 0.644 -691 0.894 0.634 0.973 -692 0.639 0.639 1.09 -693 0.626 0.876 0.644 -694 0.876 0.876 0.633 -695 0.886 0.886 0.920 -696 0.634 0.894 0.973 -697 0.124 0.626 0.644 -698 0.361 0.639 1.09 -699 0.106 0.634 0.973 -700 0.124 0.876 0.633 -701 0.374 0.876 0.644 -702 0.366 0.894 0.973 -703 0.114 0.886 0.920 +540 0.500 0.101 0.00204 +541 0.500 0.360 -0.122 +542 0.500 0.123 0.346 +543 0.500 0.640 -0.122 +544 0.500 0.899 0.00204 +545 0.500 0.877 0.346 +546 0.500 0.877 0.654 +547 0.500 0.899 0.998 +548 0.500 0.640 1.12 +549 0.500 0.123 0.654 +550 0.500 0.360 1.12 +551 0.500 0.101 0.998 +552 0.102 0.229 0.0340 +553 0.358 0.219 -0.0652 +554 0.373 0.246 0.328 +555 0.123 0.248 0.357 +556 0.123 0.123 0.232 +557 0.373 0.121 0.203 +558 0.371 0.371 0.128 +559 0.121 0.373 0.203 +560 0.229 0.102 0.0340 +561 0.219 0.358 -0.0652 +562 0.246 0.373 0.328 +563 0.248 0.123 0.357 +564 0.642 0.219 -0.0652 +565 0.898 0.229 0.0340 +566 0.877 0.248 0.357 +567 0.627 0.246 0.328 +568 0.627 0.121 0.203 +569 0.877 0.123 0.232 +570 0.879 0.373 0.203 +571 0.629 0.371 0.128 +572 0.771 0.102 0.0340 +573 0.781 0.358 -0.0652 +574 0.754 0.373 0.328 +575 0.752 0.123 0.357 +576 0.627 0.246 0.672 +577 0.877 0.248 0.643 +578 0.898 0.229 0.966 +579 0.642 0.219 1.07 +580 0.627 0.121 0.797 +581 0.877 0.123 0.768 +582 0.879 0.373 0.797 +583 0.629 0.371 0.872 +584 0.752 0.123 0.643 +585 0.754 0.373 0.672 +586 0.781 0.358 1.07 +587 0.771 0.102 0.966 +588 0.123 0.248 0.643 +589 0.373 0.246 0.672 +590 0.358 0.219 1.07 +591 0.102 0.229 0.966 +592 0.123 0.123 0.768 +593 0.373 0.121 0.797 +594 0.371 0.371 0.872 +595 0.121 0.373 0.797 +596 0.248 0.123 0.643 +597 0.246 0.373 0.672 +598 0.219 0.358 1.07 +599 0.229 0.102 0.966 +600 0.102 0.771 0.0340 +601 0.358 0.781 -0.0652 +602 0.373 0.754 0.328 +603 0.123 0.752 0.357 +604 0.121 0.627 0.203 +605 0.371 0.629 0.128 +606 0.373 0.879 0.203 +607 0.123 0.877 0.232 +608 0.219 0.642 -0.0652 +609 0.229 0.898 0.0340 +610 0.248 0.877 0.357 +611 0.246 0.627 0.328 +612 0.642 0.781 -0.0652 +613 0.898 0.771 0.0340 +614 0.877 0.752 0.357 +615 0.627 0.754 0.328 +616 0.629 0.629 0.128 +617 0.879 0.627 0.203 +618 0.877 0.877 0.232 +619 0.627 0.879 0.203 +620 0.781 0.642 -0.0652 +621 0.771 0.898 0.0340 +622 0.752 0.877 0.357 +623 0.754 0.627 0.328 +624 0.627 0.754 0.672 +625 0.877 0.752 0.643 +626 0.898 0.771 0.966 +627 0.642 0.781 1.07 +628 0.629 0.629 0.872 +629 0.879 0.627 0.797 +630 0.877 0.877 0.768 +631 0.627 0.879 0.797 +632 0.754 0.627 0.672 +633 0.752 0.877 0.643 +634 0.771 0.898 0.966 +635 0.781 0.642 1.07 +636 0.123 0.752 0.643 +637 0.373 0.754 0.672 +638 0.358 0.781 1.07 +639 0.102 0.771 0.966 +640 0.121 0.627 0.797 +641 0.371 0.629 0.872 +642 0.373 0.879 0.797 +643 0.123 0.877 0.768 +644 0.246 0.627 0.672 +645 0.248 0.877 0.643 +646 0.229 0.898 0.966 +647 0.219 0.642 1.07 +648 0.111 0.111 0.0741 +649 0.364 0.101 0.0164 +650 0.374 0.123 0.351 +651 0.124 0.124 0.366 +652 0.101 0.364 0.0164 +653 0.359 0.359 -0.0961 +654 0.123 0.374 0.351 +655 0.636 0.101 0.0164 +656 0.889 0.111 0.0741 +657 0.876 0.124 0.366 +658 0.626 0.123 0.351 +659 0.641 0.359 -0.0961 +660 0.899 0.364 0.0164 +661 0.877 0.374 0.351 +662 0.626 0.123 0.649 +663 0.876 0.124 0.634 +664 0.889 0.111 0.926 +665 0.636 0.101 0.984 +666 0.877 0.374 0.649 +667 0.899 0.364 0.984 +668 0.641 0.359 1.10 +669 0.124 0.124 0.634 +670 0.374 0.123 0.649 +671 0.364 0.101 0.984 +672 0.111 0.111 0.926 +673 0.123 0.374 0.649 +674 0.359 0.359 1.10 +675 0.101 0.364 0.984 +676 0.101 0.636 0.0164 +677 0.359 0.641 -0.0961 +678 0.123 0.626 0.351 +679 0.111 0.889 0.0741 +680 0.364 0.899 0.0164 +681 0.374 0.877 0.351 +682 0.124 0.876 0.366 +683 0.641 0.641 -0.0961 +684 0.899 0.636 0.0164 +685 0.877 0.626 0.351 +686 0.636 0.899 0.0164 +687 0.889 0.889 0.0741 +688 0.876 0.876 0.366 +689 0.626 0.877 0.351 +690 0.877 0.626 0.649 +691 0.899 0.636 0.984 +692 0.641 0.641 1.10 +693 0.626 0.877 0.649 +694 0.876 0.876 0.634 +695 0.889 0.889 0.926 +696 0.636 0.899 0.984 +697 0.123 0.626 0.649 +698 0.359 0.641 1.10 +699 0.101 0.636 0.984 +700 0.124 0.876 0.634 +701 0.374 0.877 0.649 +702 0.364 0.899 0.984 +703 0.111 0.889 0.926 1 3 hex 118 114 76 110 106 80 27 79 2 3 hex 114 119 111 76 80 107 77 27 3 3 hex 76 111 120 117 27 77 108 81