mirror of
https://github.com/openmc-dev/openmc.git
synced 2026-07-27 21:55:41 -04:00
Added hex lattice indexing to docs
This commit is contained in:
Sterling Harper
parent
1abb821bd6
commit
4981f57053
4 changed files with 1587 additions and 1 deletions
780
docs/source/_images/hex_lat.svg
Normal file
780
docs/source/_images/hex_lat.svg
Normal file
|
|
@ -0,0 +1,780 @@
|
|||
<?xml version="1.0" encoding="utf-8" standalone="no"?>
|
||||
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
|
||||
"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
|
||||
<!-- Created with matplotlib (http://matplotlib.org/) -->
|
||||
<svg height="513pt" version="1.1" viewBox="0 0 513 513" width="513pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
|
||||
<defs>
|
||||
<style type="text/css">
|
||||
*{stroke-linecap:butt;stroke-linejoin:round;}
|
||||
</style>
|
||||
</defs>
|
||||
<g id="figure_1">
|
||||
<g id="patch_1">
|
||||
<path d="
|
||||
M0 513
|
||||
L513 513
|
||||
L513 0
|
||||
L0 0
|
||||
z
|
||||
" style="fill:#ffffff;"/>
|
||||
</g>
|
||||
<g id="axes_1">
|
||||
<g id="patch_2">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M231.818 213.75
|
||||
L207.137 256.5
|
||||
L231.818 299.25
|
||||
L281.182 299.25
|
||||
L305.863 256.5
|
||||
L281.182 213.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_3">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M234.286 218.025
|
||||
L212.073 256.5
|
||||
L234.286 294.975
|
||||
L278.714 294.975
|
||||
L300.927 256.5
|
||||
L278.714 218.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_4">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M231.818 128.25
|
||||
L207.137 171
|
||||
L231.818 213.75
|
||||
L281.182 213.75
|
||||
L305.863 171
|
||||
L281.182 128.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_5">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M234.286 132.525
|
||||
L212.073 171
|
||||
L234.286 209.475
|
||||
L278.714 209.475
|
||||
L300.927 171
|
||||
L278.714 132.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_6">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M305.863 171
|
||||
L281.182 213.75
|
||||
L305.863 256.5
|
||||
L355.227 256.5
|
||||
L379.909 213.75
|
||||
L355.227 171
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_7">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M308.332 175.275
|
||||
L286.118 213.75
|
||||
L308.332 252.225
|
||||
L352.759 252.225
|
||||
L374.972 213.75
|
||||
L352.759 175.275
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_8">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M305.863 256.5
|
||||
L281.182 299.25
|
||||
L305.863 342
|
||||
L355.227 342
|
||||
L379.909 299.25
|
||||
L355.227 256.5
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_9">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M308.332 260.775
|
||||
L286.118 299.25
|
||||
L308.332 337.725
|
||||
L352.759 337.725
|
||||
L374.972 299.25
|
||||
L352.759 260.775
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_10">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M231.818 299.25
|
||||
L207.137 342
|
||||
L231.818 384.75
|
||||
L281.182 384.75
|
||||
L305.863 342
|
||||
L281.182 299.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_11">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M234.286 303.525
|
||||
L212.073 342
|
||||
L234.286 380.475
|
||||
L278.714 380.475
|
||||
L300.927 342
|
||||
L278.714 303.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_12">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M157.773 256.5
|
||||
L133.091 299.25
|
||||
L157.773 342
|
||||
L207.137 342
|
||||
L231.818 299.25
|
||||
L207.137 256.5
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_13">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M160.241 260.775
|
||||
L138.028 299.25
|
||||
L160.241 337.725
|
||||
L204.668 337.725
|
||||
L226.882 299.25
|
||||
L204.668 260.775
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_14">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M157.773 171
|
||||
L133.091 213.75
|
||||
L157.773 256.5
|
||||
L207.137 256.5
|
||||
L231.818 213.75
|
||||
L207.137 171
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_15">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M160.241 175.275
|
||||
L138.028 213.75
|
||||
L160.241 252.225
|
||||
L204.668 252.225
|
||||
L226.882 213.75
|
||||
L204.668 175.275
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_16">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M231.818 42.75
|
||||
L207.137 85.5
|
||||
L231.818 128.25
|
||||
L281.182 128.25
|
||||
L305.863 85.5
|
||||
L281.182 42.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_17">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M234.286 47.025
|
||||
L212.073 85.5
|
||||
L234.286 123.975
|
||||
L278.714 123.975
|
||||
L300.927 85.5
|
||||
L278.714 47.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_18">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M305.863 85.5
|
||||
L281.182 128.25
|
||||
L305.863 171
|
||||
L355.227 171
|
||||
L379.909 128.25
|
||||
L355.227 85.5
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_19">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M308.332 89.775
|
||||
L286.118 128.25
|
||||
L308.332 166.725
|
||||
L352.759 166.725
|
||||
L374.972 128.25
|
||||
L352.759 89.775
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_20">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M379.909 128.25
|
||||
L355.227 171
|
||||
L379.909 213.75
|
||||
L429.272 213.75
|
||||
L453.954 171
|
||||
L429.272 128.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_21">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M382.377 132.525
|
||||
L360.163 171
|
||||
L382.377 209.475
|
||||
L426.804 209.475
|
||||
L449.017 171
|
||||
L426.804 132.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_22">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M379.909 213.75
|
||||
L355.227 256.5
|
||||
L379.909 299.25
|
||||
L429.272 299.25
|
||||
L453.954 256.5
|
||||
L429.272 213.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_23">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M382.377 218.025
|
||||
L360.163 256.5
|
||||
L382.377 294.975
|
||||
L426.804 294.975
|
||||
L449.017 256.5
|
||||
L426.804 218.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_24">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M379.909 299.25
|
||||
L355.227 342
|
||||
L379.909 384.75
|
||||
L429.272 384.75
|
||||
L453.954 342
|
||||
L429.272 299.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_25">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M382.377 303.525
|
||||
L360.163 342
|
||||
L382.377 380.475
|
||||
L426.804 380.475
|
||||
L449.017 342
|
||||
L426.804 303.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_26">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M305.863 342
|
||||
L281.182 384.75
|
||||
L305.863 427.5
|
||||
L355.227 427.5
|
||||
L379.909 384.75
|
||||
L355.227 342
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_27">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M308.332 346.275
|
||||
L286.118 384.75
|
||||
L308.332 423.225
|
||||
L352.759 423.225
|
||||
L374.972 384.75
|
||||
L352.759 346.275
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_28">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M231.818 384.75
|
||||
L207.137 427.5
|
||||
L231.818 470.25
|
||||
L281.182 470.25
|
||||
L305.863 427.5
|
||||
L281.182 384.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_29">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M234.286 389.025
|
||||
L212.073 427.5
|
||||
L234.286 465.975
|
||||
L278.714 465.975
|
||||
L300.927 427.5
|
||||
L278.714 389.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_30">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M157.773 342
|
||||
L133.091 384.75
|
||||
L157.773 427.5
|
||||
L207.137 427.5
|
||||
L231.818 384.75
|
||||
L207.137 342
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_31">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M160.241 346.275
|
||||
L138.028 384.75
|
||||
L160.241 423.225
|
||||
L204.668 423.225
|
||||
L226.882 384.75
|
||||
L204.668 346.275
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_32">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M83.7279 299.25
|
||||
L59.0462 342
|
||||
L83.7279 384.75
|
||||
L133.091 384.75
|
||||
L157.773 342
|
||||
L133.091 299.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_33">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M86.1961 303.525
|
||||
L63.9826 342
|
||||
L86.1961 380.475
|
||||
L130.623 380.475
|
||||
L152.837 342
|
||||
L130.623 303.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_34">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M83.7279 213.75
|
||||
L59.0462 256.5
|
||||
L83.7279 299.25
|
||||
L133.091 299.25
|
||||
L157.773 256.5
|
||||
L133.091 213.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_35">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M86.1961 218.025
|
||||
L63.9826 256.5
|
||||
L86.1961 294.975
|
||||
L130.623 294.975
|
||||
L152.837 256.5
|
||||
L130.623 218.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_36">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M83.7279 128.25
|
||||
L59.0462 171
|
||||
L83.7279 213.75
|
||||
L133.091 213.75
|
||||
L157.773 171
|
||||
L133.091 128.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_37">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M86.1961 132.525
|
||||
L63.9826 171
|
||||
L86.1961 209.475
|
||||
L130.623 209.475
|
||||
L152.837 171
|
||||
L130.623 132.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_38">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M157.773 85.5
|
||||
L133.091 128.25
|
||||
L157.773 171
|
||||
L207.137 171
|
||||
L231.818 128.25
|
||||
L207.137 85.5
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_39">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M160.241 89.775
|
||||
L138.028 128.25
|
||||
L160.241 166.725
|
||||
L204.668 166.725
|
||||
L226.882 128.25
|
||||
L204.668 89.775
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_40">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M41.04 58.995
|
||||
L41.04 64.125
|
||||
L82.08 64.125
|
||||
L82.08 69.255
|
||||
L92.34 61.56
|
||||
L82.08 53.865
|
||||
L82.08 58.995
|
||||
z
|
||||
" style="fill:#0000ff;stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_41">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M38.8186 62.8425
|
||||
L43.2614 60.2775
|
||||
L22.7414 24.7358
|
||||
L27.1841 22.1708
|
||||
L15.39 17.1329
|
||||
L13.8559 29.8658
|
||||
L18.2986 27.3008
|
||||
z
|
||||
" style="fill:#ff0000;stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="line2d_1">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M108.41 513
|
||||
L108.41 0" style="fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_2">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M0 575.59
|
||||
M106.678 514
|
||||
L513 279.41" style="fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_3">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M182.455 513
|
||||
L182.455 0" style="fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_4">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M0 490.09
|
||||
L513 193.91" style="fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_5">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M256.5 513
|
||||
L256.5 0" style="fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_6">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M0 404.59
|
||||
L513 108.41" style="fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_7">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M330.545 513
|
||||
L330.545 0" style="fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_8">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M0 319.09
|
||||
L513 22.9097" style="fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_9">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M404.59 513
|
||||
L404.59 0" style="fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_10">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M0 233.59
|
||||
L406.322 -1" style="fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="text_1">
|
||||
<!-- -2 -->
|
||||
<defs>
|
||||
<path d="
|
||||
M19.1875 8.29688
|
||||
L53.6094 8.29688
|
||||
L53.6094 0
|
||||
L7.32812 0
|
||||
L7.32812 8.29688
|
||||
Q12.9375 14.1094 22.625 23.8906
|
||||
Q32.3281 33.6875 34.8125 36.5312
|
||||
Q39.5469 41.8438 41.4219 45.5312
|
||||
Q43.3125 49.2188 43.3125 52.7812
|
||||
Q43.3125 58.5938 39.2344 62.25
|
||||
Q35.1562 65.9219 28.6094 65.9219
|
||||
Q23.9688 65.9219 18.8125 64.3125
|
||||
Q13.6719 62.7031 7.8125 59.4219
|
||||
L7.8125 69.3906
|
||||
Q13.7656 71.7812 18.9375 73
|
||||
Q24.125 74.2188 28.4219 74.2188
|
||||
Q39.75 74.2188 46.4844 68.5469
|
||||
Q53.2188 62.8906 53.2188 53.4219
|
||||
Q53.2188 48.9219 51.5312 44.8906
|
||||
Q49.8594 40.875 45.4062 35.4062
|
||||
Q44.1875 33.9844 37.6406 27.2188
|
||||
Q31.1094 20.4531 19.1875 8.29688" id="DejaVuSans-32"/>
|
||||
<path d="
|
||||
M4.89062 31.3906
|
||||
L31.2031 31.3906
|
||||
L31.2031 23.3906
|
||||
L4.89062 23.3906
|
||||
z
|
||||
" id="DejaVuSans-2d"/>
|
||||
</defs>
|
||||
<g transform="translate(116.959655953 504.45)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-2d"/>
|
||||
<use x="36.083984375" xlink:href="#DejaVuSans-32"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_2">
|
||||
<!-- -1 -->
|
||||
<defs>
|
||||
<path d="
|
||||
M12.4062 8.29688
|
||||
L28.5156 8.29688
|
||||
L28.5156 63.9219
|
||||
L10.9844 60.4062
|
||||
L10.9844 69.3906
|
||||
L28.4219 72.9062
|
||||
L38.2812 72.9062
|
||||
L38.2812 8.29688
|
||||
L54.3906 8.29688
|
||||
L54.3906 0
|
||||
L12.4062 0
|
||||
z
|
||||
" id="DejaVuSans-31"/>
|
||||
</defs>
|
||||
<g transform="translate(191.004827976 504.45)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-2d"/>
|
||||
<use x="36.083984375" xlink:href="#DejaVuSans-31"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_3">
|
||||
<!-- -1 -->
|
||||
<g transform="translate(8.55 472.990344047)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-2d"/>
|
||||
<use x="36.083984375" xlink:href="#DejaVuSans-31"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_4">
|
||||
<!-- 0 -->
|
||||
<defs>
|
||||
<path d="
|
||||
M31.7812 66.4062
|
||||
Q24.1719 66.4062 20.3281 58.9062
|
||||
Q16.5 51.4219 16.5 36.375
|
||||
Q16.5 21.3906 20.3281 13.8906
|
||||
Q24.1719 6.39062 31.7812 6.39062
|
||||
Q39.4531 6.39062 43.2812 13.8906
|
||||
Q47.125 21.3906 47.125 36.375
|
||||
Q47.125 51.4219 43.2812 58.9062
|
||||
Q39.4531 66.4062 31.7812 66.4062
|
||||
M31.7812 74.2188
|
||||
Q44.0469 74.2188 50.5156 64.5156
|
||||
Q56.9844 54.8281 56.9844 36.375
|
||||
Q56.9844 17.9688 50.5156 8.26562
|
||||
Q44.0469 -1.42188 31.7812 -1.42188
|
||||
Q19.5312 -1.42188 13.0625 8.26562
|
||||
Q6.59375 17.9688 6.59375 36.375
|
||||
Q6.59375 54.8281 13.0625 64.5156
|
||||
Q19.5312 74.2188 31.7812 74.2188" id="DejaVuSans-30"/>
|
||||
</defs>
|
||||
<g transform="translate(265.05 504.45)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-30"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_5">
|
||||
<!-- 0 -->
|
||||
<g transform="translate(8.55 387.490344047)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-30"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_6">
|
||||
<!-- 1 -->
|
||||
<g transform="translate(339.095172024 504.45)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-31"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_7">
|
||||
<!-- 1 -->
|
||||
<g transform="translate(8.55 301.990344047)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-31"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_8">
|
||||
<!-- 2 -->
|
||||
<g transform="translate(413.140344047 504.45)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-32"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_9">
|
||||
<!-- 2 -->
|
||||
<g transform="translate(8.55 216.490344047)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-32"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_10">
|
||||
<!-- $\hat x$ -->
|
||||
<defs>
|
||||
<path d="
|
||||
M13.4844 53.8125
|
||||
L11.5312 55.9062
|
||||
L25 69.3906
|
||||
L38.375 55.9062
|
||||
L36.375 53.8125
|
||||
L25 63.8125
|
||||
z
|
||||
" id="Cmr10-5e"/>
|
||||
<path d="
|
||||
M7.8125 2.875
|
||||
Q9.57812 1.51562 12.7969 1.51562
|
||||
Q15.9219 1.51562 18.3125 4.51562
|
||||
Q20.7031 7.51562 21.5781 11.0781
|
||||
L26.125 28.8125
|
||||
Q27.2031 33.6406 27.2031 35.4062
|
||||
Q27.2031 37.8906 25.8125 39.75
|
||||
Q24.4219 41.6094 21.9219 41.6094
|
||||
Q18.75 41.6094 15.9688 39.625
|
||||
Q13.1875 37.6406 11.2812 34.5938
|
||||
Q9.375 31.5469 8.59375 28.4219
|
||||
Q8.40625 27.7812 7.8125 27.7812
|
||||
L6.59375 27.7812
|
||||
Q5.8125 27.7812 5.8125 28.7188
|
||||
L5.8125 29
|
||||
Q6.78125 32.7188 9.125 36.25
|
||||
Q11.4688 39.7969 14.8594 41.9844
|
||||
Q18.2656 44.1875 22.125 44.1875
|
||||
Q25.7812 44.1875 28.7344 42.2344
|
||||
Q31.6875 40.2812 32.9062 36.9219
|
||||
Q34.625 39.9844 37.2812 42.0781
|
||||
Q39.9375 44.1875 43.1094 44.1875
|
||||
Q45.2656 44.1875 47.5 43.4219
|
||||
Q49.75 42.6719 51.1719 41.1094
|
||||
Q52.5938 39.5469 52.5938 37.2031
|
||||
Q52.5938 34.6719 50.9531 32.8281
|
||||
Q49.3125 31 46.7812 31
|
||||
Q45.1719 31 44.0938 32.0312
|
||||
Q43.0156 33.0625 43.0156 34.625
|
||||
Q43.0156 36.7188 44.4531 38.2969
|
||||
Q45.9062 39.8906 47.9062 40.1875
|
||||
Q46.0938 41.6094 42.9219 41.6094
|
||||
Q39.7031 41.6094 37.3281 38.625
|
||||
Q34.9688 35.6406 33.9844 31.9844
|
||||
L29.5938 14.3125
|
||||
Q28.5156 10.2969 28.5156 7.71875
|
||||
Q28.5156 5.17188 29.9531 3.34375
|
||||
Q31.3906 1.51562 33.7969 1.51562
|
||||
Q38.4844 1.51562 42.1562 5.64062
|
||||
Q45.8438 9.76562 47.0156 14.7031
|
||||
Q47.2188 15.2812 47.7969 15.2812
|
||||
L49.0312 15.2812
|
||||
Q49.4219 15.2812 49.6562 15.0156
|
||||
Q49.9062 14.75 49.9062 14.4062
|
||||
Q49.9062 14.3125 49.8125 14.1094
|
||||
Q48.3906 8.15625 43.8438 3.51562
|
||||
Q39.3125 -1.125 33.5938 -1.125
|
||||
Q29.9375 -1.125 26.9844 0.84375
|
||||
Q24.0312 2.82812 22.7969 6.20312
|
||||
Q21.2344 3.26562 18.4688 1.0625
|
||||
Q15.7188 -1.125 12.5938 -1.125
|
||||
Q10.4531 -1.125 8.17188 -0.359375
|
||||
Q5.90625 0.390625 4.48438 1.95312
|
||||
Q3.07812 3.51562 3.07812 5.90625
|
||||
Q3.07812 8.25 4.70312 10.1719
|
||||
Q6.34375 12.1094 8.79688 12.1094
|
||||
Q10.4531 12.1094 11.5781 11.1094
|
||||
Q12.7031 10.1094 12.7031 8.5
|
||||
Q12.7031 6.39062 11.2969 4.82812
|
||||
Q9.90625 3.26562 7.8125 2.875" id="Cmmi10-78"/>
|
||||
</defs>
|
||||
<g transform="translate(61.56 81.886875)scale(0.2 -0.2)">
|
||||
<use transform="translate(-0.53125 3.609375)" xlink:href="#Cmr10-5e"/>
|
||||
<use transform="translate(0.0 0.734375)" xlink:href="#Cmmi10-78"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_11">
|
||||
<!-- $\hat \alpha$ -->
|
||||
<defs>
|
||||
<path d="
|
||||
M20.125 -1.125
|
||||
Q15.375 -1.125 11.6875 1.125
|
||||
Q8.01562 3.375 6 7.17188
|
||||
Q4 10.9844 4 15.8281
|
||||
Q4 22.6094 7.78125 29.25
|
||||
Q11.5781 35.8906 17.8438 40.0312
|
||||
Q24.125 44.1875 31 44.1875
|
||||
Q36.0781 44.1875 39.9375 41.5312
|
||||
Q43.7969 38.875 45.7969 34.4531
|
||||
Q47.7969 30.0312 47.7969 25
|
||||
L47.9062 18.3125
|
||||
Q51.3125 23.0469 53.6875 28.1406
|
||||
Q56.0625 33.25 57.3281 38.7188
|
||||
Q57.5156 39.3125 58.1094 39.3125
|
||||
L59.2812 39.3125
|
||||
Q60.2031 39.3125 60.2031 38.375
|
||||
Q60.2031 38.2812 60.1094 38.0938
|
||||
Q58.9375 33.5 57.1719 29.2656
|
||||
Q55.4219 25.0469 53.0469 21.0938
|
||||
Q50.6875 17.1406 47.9062 13.9219
|
||||
Q47.9062 1.51562 50.7812 1.51562
|
||||
Q52.6406 1.51562 53.8281 2.60938
|
||||
Q55.0312 3.71875 55.9375 5.32812
|
||||
Q56.8438 6.9375 57.0781 6.98438
|
||||
L58.2969 6.98438
|
||||
Q59.0781 6.98438 59.0781 6
|
||||
Q59.0781 3.51562 56.2188 1.1875
|
||||
Q53.375 -1.125 50.5938 -1.125
|
||||
Q46.9688 -1.125 44.5781 1.21875
|
||||
Q42.1875 3.5625 41.3125 7.32812
|
||||
Q36.625 3.32812 31.1562 1.09375
|
||||
Q25.6875 -1.125 20.125 -1.125
|
||||
M20.3125 1.51562
|
||||
Q31 1.51562 40.8281 10.2969
|
||||
Q40.7656 10.8906 40.6719 11.7344
|
||||
Q40.5781 12.5938 40.5781 12.7031
|
||||
L40.5781 23.4844
|
||||
Q40.5781 41.6094 30.8125 41.6094
|
||||
Q24.9531 41.6094 20.5469 36.5938
|
||||
Q16.1562 31.5938 13.9375 24.625
|
||||
Q11.7188 17.6719 11.7188 11.9219
|
||||
Q11.7188 7.5625 13.9375 4.53125
|
||||
Q16.1562 1.51562 20.3125 1.51562" id="Cmmi10-ae"/>
|
||||
</defs>
|
||||
<g transform="translate(35.91 35.91)scale(0.2 -0.2)">
|
||||
<use transform="translate(3.46875 3.609375)" xlink:href="#Cmr10-5e"/>
|
||||
<use transform="translate(0.0 0.734375)" xlink:href="#Cmmi10-ae"/>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
<defs>
|
||||
<clipPath id="p5382b9a736">
|
||||
<rect height="513.0" width="513.0" x="0.0" y="0.0"/>
|
||||
</clipPath>
|
||||
</defs>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 17 KiB |
711
docs/source/_images/rect_lat.svg
Normal file
711
docs/source/_images/rect_lat.svg
Normal file
|
|
@ -0,0 +1,711 @@
|
|||
<?xml version="1.0" encoding="utf-8" standalone="no"?>
|
||||
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
|
||||
"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
|
||||
<!-- Created with matplotlib (http://matplotlib.org/) -->
|
||||
<svg height="513pt" version="1.1" viewBox="0 0 513 513" width="513pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
|
||||
<defs>
|
||||
<style type="text/css">
|
||||
*{stroke-linecap:butt;stroke-linejoin:round;}
|
||||
</style>
|
||||
</defs>
|
||||
<g id="figure_1">
|
||||
<g id="patch_1">
|
||||
<path d="
|
||||
M0 513
|
||||
L513 513
|
||||
L513 0
|
||||
L0 0
|
||||
z
|
||||
" style="fill:#ffffff;"/>
|
||||
</g>
|
||||
<g id="axes_1">
|
||||
<g id="patch_2">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M42.75 470.25
|
||||
L128.25 470.25
|
||||
L128.25 384.75
|
||||
L42.75 384.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_3">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M47.025 465.975
|
||||
L123.975 465.975
|
||||
L123.975 389.025
|
||||
L47.025 389.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_4">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M128.25 470.25
|
||||
L213.75 470.25
|
||||
L213.75 384.75
|
||||
L128.25 384.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_5">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M132.525 465.975
|
||||
L209.475 465.975
|
||||
L209.475 389.025
|
||||
L132.525 389.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_6">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M213.75 470.25
|
||||
L299.25 470.25
|
||||
L299.25 384.75
|
||||
L213.75 384.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_7">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M218.025 465.975
|
||||
L294.975 465.975
|
||||
L294.975 389.025
|
||||
L218.025 389.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_8">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M299.25 470.25
|
||||
L384.75 470.25
|
||||
L384.75 384.75
|
||||
L299.25 384.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_9">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M303.525 465.975
|
||||
L380.475 465.975
|
||||
L380.475 389.025
|
||||
L303.525 389.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_10">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M384.75 470.25
|
||||
L470.25 470.25
|
||||
L470.25 384.75
|
||||
L384.75 384.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_11">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M389.025 465.975
|
||||
L465.975 465.975
|
||||
L465.975 389.025
|
||||
L389.025 389.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_12">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M42.75 384.75
|
||||
L128.25 384.75
|
||||
L128.25 299.25
|
||||
L42.75 299.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_13">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M47.025 380.475
|
||||
L123.975 380.475
|
||||
L123.975 303.525
|
||||
L47.025 303.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_14">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M128.25 384.75
|
||||
L213.75 384.75
|
||||
L213.75 299.25
|
||||
L128.25 299.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_15">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M132.525 380.475
|
||||
L209.475 380.475
|
||||
L209.475 303.525
|
||||
L132.525 303.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_16">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M213.75 384.75
|
||||
L299.25 384.75
|
||||
L299.25 299.25
|
||||
L213.75 299.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_17">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M218.025 380.475
|
||||
L294.975 380.475
|
||||
L294.975 303.525
|
||||
L218.025 303.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_18">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M299.25 384.75
|
||||
L384.75 384.75
|
||||
L384.75 299.25
|
||||
L299.25 299.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_19">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M303.525 380.475
|
||||
L380.475 380.475
|
||||
L380.475 303.525
|
||||
L303.525 303.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_20">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M384.75 384.75
|
||||
L470.25 384.75
|
||||
L470.25 299.25
|
||||
L384.75 299.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_21">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M389.025 380.475
|
||||
L465.975 380.475
|
||||
L465.975 303.525
|
||||
L389.025 303.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_22">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M42.75 299.25
|
||||
L128.25 299.25
|
||||
L128.25 213.75
|
||||
L42.75 213.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_23">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M47.025 294.975
|
||||
L123.975 294.975
|
||||
L123.975 218.025
|
||||
L47.025 218.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_24">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M128.25 299.25
|
||||
L213.75 299.25
|
||||
L213.75 213.75
|
||||
L128.25 213.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_25">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M132.525 294.975
|
||||
L209.475 294.975
|
||||
L209.475 218.025
|
||||
L132.525 218.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_26">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M213.75 299.25
|
||||
L299.25 299.25
|
||||
L299.25 213.75
|
||||
L213.75 213.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_27">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M218.025 294.975
|
||||
L294.975 294.975
|
||||
L294.975 218.025
|
||||
L218.025 218.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_28">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M299.25 299.25
|
||||
L384.75 299.25
|
||||
L384.75 213.75
|
||||
L299.25 213.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_29">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M303.525 294.975
|
||||
L380.475 294.975
|
||||
L380.475 218.025
|
||||
L303.525 218.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_30">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M384.75 299.25
|
||||
L470.25 299.25
|
||||
L470.25 213.75
|
||||
L384.75 213.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_31">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M389.025 294.975
|
||||
L465.975 294.975
|
||||
L465.975 218.025
|
||||
L389.025 218.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_32">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M42.75 213.75
|
||||
L128.25 213.75
|
||||
L128.25 128.25
|
||||
L42.75 128.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_33">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M47.025 209.475
|
||||
L123.975 209.475
|
||||
L123.975 132.525
|
||||
L47.025 132.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_34">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M128.25 213.75
|
||||
L213.75 213.75
|
||||
L213.75 128.25
|
||||
L128.25 128.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_35">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M132.525 209.475
|
||||
L209.475 209.475
|
||||
L209.475 132.525
|
||||
L132.525 132.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_36">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M213.75 213.75
|
||||
L299.25 213.75
|
||||
L299.25 128.25
|
||||
L213.75 128.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_37">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M218.025 209.475
|
||||
L294.975 209.475
|
||||
L294.975 132.525
|
||||
L218.025 132.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_38">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M299.25 213.75
|
||||
L384.75 213.75
|
||||
L384.75 128.25
|
||||
L299.25 128.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_39">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M303.525 209.475
|
||||
L380.475 209.475
|
||||
L380.475 132.525
|
||||
L303.525 132.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_40">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M384.75 213.75
|
||||
L470.25 213.75
|
||||
L470.25 128.25
|
||||
L384.75 128.25
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_41">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M389.025 209.475
|
||||
L465.975 209.475
|
||||
L465.975 132.525
|
||||
L389.025 132.525
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_42">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M42.75 128.25
|
||||
L128.25 128.25
|
||||
L128.25 42.75
|
||||
L42.75 42.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_43">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M47.025 123.975
|
||||
L123.975 123.975
|
||||
L123.975 47.025
|
||||
L47.025 47.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_44">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M128.25 128.25
|
||||
L213.75 128.25
|
||||
L213.75 42.75
|
||||
L128.25 42.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_45">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M132.525 123.975
|
||||
L209.475 123.975
|
||||
L209.475 47.025
|
||||
L132.525 47.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_46">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M213.75 128.25
|
||||
L299.25 128.25
|
||||
L299.25 42.75
|
||||
L213.75 42.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_47">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M218.025 123.975
|
||||
L294.975 123.975
|
||||
L294.975 47.025
|
||||
L218.025 47.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_48">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M299.25 128.25
|
||||
L384.75 128.25
|
||||
L384.75 42.75
|
||||
L299.25 42.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_49">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M303.525 123.975
|
||||
L380.475 123.975
|
||||
L380.475 47.025
|
||||
L303.525 47.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="patch_50">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M384.75 128.25
|
||||
L470.25 128.25
|
||||
L470.25 42.75
|
||||
L384.75 42.75
|
||||
z
|
||||
" style="stroke:#000000;"/>
|
||||
</g>
|
||||
<g id="patch_51">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M389.025 123.975
|
||||
L465.975 123.975
|
||||
L465.975 47.025
|
||||
L389.025 47.025
|
||||
z
|
||||
" style="fill:#ffffff;stroke:#ffffff;"/>
|
||||
</g>
|
||||
<g id="line2d_1">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M85.5 513
|
||||
L85.5 0" style="fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_2">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M171 513
|
||||
L171 0" style="fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_3">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M256.5 513
|
||||
L256.5 0" style="fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_4">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M342 513
|
||||
L342 0" style="fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_5">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M427.5 513
|
||||
L427.5 0" style="fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_6">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M0 427.5
|
||||
L513 427.5" style="fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_7">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M0 342
|
||||
L513 342" style="fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_8">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M0 256.5
|
||||
L513 256.5" style="fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_9">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M0 171
|
||||
L513 171" style="fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="line2d_10">
|
||||
<path clip-path="url(#p5382b9a736)" d="
|
||||
M0 85.5
|
||||
L513 85.5" style="fill:none;stroke:#ff0000;stroke-linecap:square;stroke-width:3;"/>
|
||||
</g>
|
||||
<g id="text_1">
|
||||
<!-- 1 -->
|
||||
<defs>
|
||||
<path d="
|
||||
M12.4062 8.29688
|
||||
L28.5156 8.29688
|
||||
L28.5156 63.9219
|
||||
L10.9844 60.4062
|
||||
L10.9844 69.3906
|
||||
L28.4219 72.9062
|
||||
L38.2812 72.9062
|
||||
L38.2812 8.29688
|
||||
L54.3906 8.29688
|
||||
L54.3906 0
|
||||
L12.4062 0
|
||||
z
|
||||
" id="DejaVuSans-31"/>
|
||||
</defs>
|
||||
<g transform="translate(94.05 504.45)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-31"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_2">
|
||||
<!-- 2 -->
|
||||
<defs>
|
||||
<path d="
|
||||
M19.1875 8.29688
|
||||
L53.6094 8.29688
|
||||
L53.6094 0
|
||||
L7.32812 0
|
||||
L7.32812 8.29688
|
||||
Q12.9375 14.1094 22.625 23.8906
|
||||
Q32.3281 33.6875 34.8125 36.5312
|
||||
Q39.5469 41.8438 41.4219 45.5312
|
||||
Q43.3125 49.2188 43.3125 52.7812
|
||||
Q43.3125 58.5938 39.2344 62.25
|
||||
Q35.1562 65.9219 28.6094 65.9219
|
||||
Q23.9688 65.9219 18.8125 64.3125
|
||||
Q13.6719 62.7031 7.8125 59.4219
|
||||
L7.8125 69.3906
|
||||
Q13.7656 71.7812 18.9375 73
|
||||
Q24.125 74.2188 28.4219 74.2188
|
||||
Q39.75 74.2188 46.4844 68.5469
|
||||
Q53.2188 62.8906 53.2188 53.4219
|
||||
Q53.2188 48.9219 51.5312 44.8906
|
||||
Q49.8594 40.875 45.4062 35.4062
|
||||
Q44.1875 33.9844 37.6406 27.2188
|
||||
Q31.1094 20.4531 19.1875 8.29688" id="DejaVuSans-32"/>
|
||||
</defs>
|
||||
<g transform="translate(179.55 504.45)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-32"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_3">
|
||||
<!-- 3 -->
|
||||
<defs>
|
||||
<path d="
|
||||
M40.5781 39.3125
|
||||
Q47.6562 37.7969 51.625 33
|
||||
Q55.6094 28.2188 55.6094 21.1875
|
||||
Q55.6094 10.4062 48.1875 4.48438
|
||||
Q40.7656 -1.42188 27.0938 -1.42188
|
||||
Q22.5156 -1.42188 17.6562 -0.515625
|
||||
Q12.7969 0.390625 7.625 2.20312
|
||||
L7.625 11.7188
|
||||
Q11.7188 9.32812 16.5938 8.10938
|
||||
Q21.4844 6.89062 26.8125 6.89062
|
||||
Q36.0781 6.89062 40.9375 10.5469
|
||||
Q45.7969 14.2031 45.7969 21.1875
|
||||
Q45.7969 27.6406 41.2812 31.2656
|
||||
Q36.7656 34.9062 28.7188 34.9062
|
||||
L20.2188 34.9062
|
||||
L20.2188 43.0156
|
||||
L29.1094 43.0156
|
||||
Q36.375 43.0156 40.2344 45.9219
|
||||
Q44.0938 48.8281 44.0938 54.2969
|
||||
Q44.0938 59.9062 40.1094 62.9062
|
||||
Q36.1406 65.9219 28.7188 65.9219
|
||||
Q24.6562 65.9219 20.0156 65.0312
|
||||
Q15.375 64.1562 9.8125 62.3125
|
||||
L9.8125 71.0938
|
||||
Q15.4375 72.6562 20.3438 73.4375
|
||||
Q25.25 74.2188 29.5938 74.2188
|
||||
Q40.8281 74.2188 47.3594 69.1094
|
||||
Q53.9062 64.0156 53.9062 55.3281
|
||||
Q53.9062 49.2656 50.4375 45.0938
|
||||
Q46.9688 40.9219 40.5781 39.3125" id="DejaVuSans-33"/>
|
||||
</defs>
|
||||
<g transform="translate(265.05 504.45)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-33"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_4">
|
||||
<!-- 4 -->
|
||||
<defs>
|
||||
<path d="
|
||||
M37.7969 64.3125
|
||||
L12.8906 25.3906
|
||||
L37.7969 25.3906
|
||||
z
|
||||
|
||||
M35.2031 72.9062
|
||||
L47.6094 72.9062
|
||||
L47.6094 25.3906
|
||||
L58.0156 25.3906
|
||||
L58.0156 17.1875
|
||||
L47.6094 17.1875
|
||||
L47.6094 0
|
||||
L37.7969 0
|
||||
L37.7969 17.1875
|
||||
L4.89062 17.1875
|
||||
L4.89062 26.7031
|
||||
z
|
||||
" id="DejaVuSans-34"/>
|
||||
</defs>
|
||||
<g transform="translate(350.55 504.45)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-34"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_5">
|
||||
<!-- 5 -->
|
||||
<defs>
|
||||
<path d="
|
||||
M10.7969 72.9062
|
||||
L49.5156 72.9062
|
||||
L49.5156 64.5938
|
||||
L19.8281 64.5938
|
||||
L19.8281 46.7344
|
||||
Q21.9688 47.4688 24.1094 47.8281
|
||||
Q26.2656 48.1875 28.4219 48.1875
|
||||
Q40.625 48.1875 47.75 41.5
|
||||
Q54.8906 34.8125 54.8906 23.3906
|
||||
Q54.8906 11.625 47.5625 5.09375
|
||||
Q40.2344 -1.42188 26.9062 -1.42188
|
||||
Q22.3125 -1.42188 17.5469 -0.640625
|
||||
Q12.7969 0.140625 7.71875 1.70312
|
||||
L7.71875 11.625
|
||||
Q12.1094 9.23438 16.7969 8.0625
|
||||
Q21.4844 6.89062 26.7031 6.89062
|
||||
Q35.1562 6.89062 40.0781 11.3281
|
||||
Q45.0156 15.7656 45.0156 23.3906
|
||||
Q45.0156 31 40.0781 35.4375
|
||||
Q35.1562 39.8906 26.7031 39.8906
|
||||
Q22.75 39.8906 18.8125 39.0156
|
||||
Q14.8906 38.1406 10.7969 36.2812
|
||||
z
|
||||
" id="DejaVuSans-35"/>
|
||||
</defs>
|
||||
<g transform="translate(436.05 504.45)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-35"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_6">
|
||||
<!-- 1 -->
|
||||
<g transform="translate(8.55 418.95)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-31"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_7">
|
||||
<!-- 2 -->
|
||||
<g transform="translate(8.55 333.45)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-32"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_8">
|
||||
<!-- 3 -->
|
||||
<g transform="translate(8.55 247.95)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-33"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_9">
|
||||
<!-- 4 -->
|
||||
<g transform="translate(8.55 162.45)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-34"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="text_10">
|
||||
<!-- 5 -->
|
||||
<g transform="translate(8.55 76.95)scale(0.2 -0.2)">
|
||||
<use xlink:href="#DejaVuSans-35"/>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
<defs>
|
||||
<clipPath id="p5382b9a736">
|
||||
<rect height="513.0" width="513.0" x="0.0" y="0.0"/>
|
||||
</clipPath>
|
||||
</defs>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 15 KiB |
|
|
@ -385,6 +385,101 @@ is found that contains the specified point.
|
|||
|
||||
.. _cell-contains:
|
||||
|
||||
----------------------
|
||||
Finding a Lattice Tile
|
||||
----------------------
|
||||
|
||||
If a particle is inside a lattice, its position inside the lattice must be
|
||||
determined before assigning it to a cell. Throughout this section, the
|
||||
volumetric units of the lattice will be referred to as "tiles". Tiles are
|
||||
identified by thier indices, and the process of discovering which tile contains
|
||||
the particle is referred to as "indexing".
|
||||
|
||||
Rectilinear Lattice Indexing
|
||||
----------------------------
|
||||
|
||||
Indices are assigned to tiles in a rectilinear lattice based on the tile's
|
||||
position along the :math:`x`, :math:`y`, and :math:`z` axes. The figure below
|
||||
maps the indecies for a 2d lattice. The indices, (1, 1), map to the
|
||||
lower-left tile. (5, 1) and (5, 5) map to the lower-right and upper-right
|
||||
tiles, respectively.
|
||||
|
||||
.. figure:: ../_images/rect_lat.*
|
||||
:align: center
|
||||
:figclass: align-center
|
||||
:width: 400px
|
||||
|
||||
Rectilinear lattice tile indices.
|
||||
|
||||
In general, a lattice tile is specified by the three indices,
|
||||
:math:`(i_x, i_y, i_z)`. If a particle's current coordinates are
|
||||
:math:`(x, y, z)` then the indices can be determined from these formulas:
|
||||
|
||||
.. math::
|
||||
:label: rect_indexing
|
||||
|
||||
i_x = \Bigg \lceil \frac{x - x_0}{p_0} \Bigg \rceil
|
||||
|
||||
i_y = \Bigg \lceil \frac{y - y_0}{p_1} \Bigg \rceil
|
||||
|
||||
i_z = \Bigg \lceil \frac{z - z_0}{p_2} \Bigg \rceil
|
||||
|
||||
where :math:`(x_0, y_0, z_0)` are the coordinates to the lower-left-bottom
|
||||
corner of the lattice, and :math:`p_0, p_1, p_2` are the pitches along the
|
||||
:math:`x`, :math:`y`, and :math:`z` axes, respectively.
|
||||
|
||||
Hexagonal Lattice Indexing
|
||||
--------------------------
|
||||
|
||||
A skewed coordinate system is used for indexing hexagonal lattice tiles. Rather
|
||||
than a :math:`y`-axis, another axis is used that is rotated 30 degrees
|
||||
counter-clockwise from the :math:`y`-axis. This axis is referred to as the
|
||||
:math:`\alpha`-axis. The figure below shows how 2d hexagonal tiles are mapped
|
||||
with the :math:`(x, \alpha)` basis. In this system, (0, 0) maps to the center
|
||||
tile, (0, 2) to the top tile, and (2, -1) to the middle tile on the right side.
|
||||
|
||||
.. figure:: ../_images/hex_lat.*
|
||||
:align: center
|
||||
:figclass: align-center
|
||||
:width: 400px
|
||||
|
||||
Hexagonal lattice tile indices.
|
||||
|
||||
Unfortunately, the indices cannot be determined with one simple formula as
|
||||
before. Indexing requires a two-step process, a coarse step which determines a
|
||||
set of 4 tiles that contains the particle and a fine step that determines which
|
||||
of those 4 tiles actually contains the particle.
|
||||
|
||||
In the first step, indices are found using these formulas:
|
||||
|
||||
.. math::
|
||||
:label: hex_indexing
|
||||
|
||||
\alpha = -\frac{x}{\sqrt{3}} + y
|
||||
|
||||
i_x^* = \Bigg \lfloor \frac{x}{p_0 \sqrt{3} / 2} \Bigg \rfloor
|
||||
|
||||
i_\alpha^* = \Bigg \lfloor \frac{\alpha}{p_0} \Bigg \rfloor
|
||||
|
||||
where :math:`p_0` is the lattice pitch (in the :math:`x`-:math:`y` plane). The
|
||||
true index of the particle could be :math:`(i_x^*, i_\alpha^*)`,
|
||||
:math:`(i_x^* + 1, i_\alpha^*)`, :math:`(i_x^*, i_\alpha^* + 1)`, or
|
||||
:math:`(i_x^* + 1, i_\alpha^* + 1)`.
|
||||
|
||||
The second step selects the correct tile from that neighborhood of 4. OpenMC
|
||||
does this by calculating the distance between the particle and the centers of
|
||||
each of the 4 tiles, and then picking the closest tile. This works because
|
||||
regular hexagonal tiles form a Voronoi tessellation which means that all of the
|
||||
points within a tile are closest to the center of that same tile.
|
||||
|
||||
Indexing along the :math:`z`-axis uses the same method from rectilinear
|
||||
lattices, i.e.
|
||||
|
||||
.. math::
|
||||
:label: hex_indexing_z
|
||||
|
||||
i_z = \Bigg \lceil \frac{z - z_0}{p_2} \Bigg \rceil
|
||||
|
||||
----------------------------------------
|
||||
Determining if a Coordinate is in a Cell
|
||||
----------------------------------------
|
||||
|
|
|
|||
|
|
@ -840,7 +840,7 @@ Here is an example of a properly defined 2d rectangular lattice:
|
|||
</lattice>
|
||||
|
||||
``<hex_lattice>`` Element
|
||||
---------------------
|
||||
-------------------------
|
||||
|
||||
The ``<hex_lattice>`` can be used to represent repeating structures (e.g. fuel
|
||||
pins in an assembly) or other geometry which naturally fits onto a hexagonal
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue