File:Barycentric subdivision of a 3-simplex.png

From testwiki
Jump to navigation Jump to search

Original file ‎(1,896 × 1,507 pixels, file size: 73 KB, MIME type: image/png)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

Description
English: A 3-simplex, with barycentric subdivisions of 1-faces (edges) 2-faces (triangles) and 3-faces (body).png
Date
Source Created in GeoGebra
Author Slawekb
Other versions
This polytope image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}.


It is recommended to name the SVG file “Barycentric subdivision of a 3-simplex.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.

Source code

<?xml version="1.0" encoding="utf-8"?>
<geogebra format="5.0" version="5.0.180.0" id="ed57241c-33a0-4a41-abff-ac5bd6b9a742"  xsi:noNamespaceSchemaLocation="http://www.geogebra.org/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
	<window width="800" height="600" />
	<perspectives>
<perspective id="tmp">
	<panes>
		<pane location="" divider="0.25" orientation="1" />
	</panes>
	<views>
		<view id="4097" visible="false" inframe="true" stylebar="true" location="1,1,1,1" size="400" window="610,253,700,550" />
		<view id="1" visible="false" inframe="false" stylebar="true" location="1,3" size="286" window="100,100,600,400" />
		<view id="4" toolbar="0 || 2020 , 2021 , 2022 , 66 || 2001 , 2003 , 2002 , 2004 , 2005 || 2040 , 2041 , 2042 , 2044 , 2043" visible="false" inframe="false" stylebar="false" location="1,1" size="300" window="100,100,600,400" />
		<view id="8" toolbar="1001 | 1002 | 1003  || 1005 | 1004 || 1006 | 1007 | 1010 || 1008 1009 || 66 68 || 6" visible="false" inframe="false" stylebar="false" location="1,3" size="300" window="100,100,600,400" />
		<view id="2" visible="true" inframe="false" stylebar="true" location="3" size="200" window="100,100,250,400" />
		<view id="16" visible="false" inframe="false" stylebar="false" location="1" size="150" window="50,50,500,500" />
		<view id="32" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
		<view id="64" toolbar="0" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
		<view id="70" toolbar="0 || 2020 || 2021 || 2022" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
		<view id="512" toolbar="0 | 1 501 5 19 , 67 | 2 15 45 18 , 7 37 | 514 3 9 , 13 44 , 47 | 16 | 551 550 11 ,  20 22 21 23 , 55 56 57 , 12 | 69 | 510 511 , 512 513 | 533 531 , 534 532 , 522 523 , 537 536 , 535 | 521 520 | 36 , 38 49 560 | 571 30 29 570 31 33 | 17 | 540 40 41 42 , 27 28 35 , 6 , 502" visible="true" inframe="false" stylebar="false" location="1" size="571" window="100,100,600,400" />
	</views>
	<toolbar show="true" items="0 39 | 1 501 67 , 5 19 , 72 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24  20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49  50 , 71 | 30 29 54 32 31 33 | 17 26 62 73 , 14 68 | 25 52 60 61 | 40 41 42 , 27 28 35 , 6" position="1" help="false" />
	<input show="true" cmd="true" top="algebra" />
	<dockBar show="true" east="true" />
</perspective>
	</perspectives>
	<labelingStyle  val="0"/>
	<font  size="12"/>
</gui>
<euclidianView>
	<viewNumber viewNo="1"/>
	<size  width="571" height="454"/>
	<coordSystem xZero="215.0" yZero="315.0" scale="50.0" yscale="50.0"/>
	<evSettings axes="true" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" checkboxSize="26" gridType="0"/>
	<bgColor r="255" g="255" b="255"/>
	<axesColor r="0" g="0" b="0"/>
	<gridColor r="192" g="192" b="192"/>
	<lineStyle axes="1" grid="0"/>
	<axis id="0" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
	<axis id="1" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
</euclidianView>
<kernel>
	<uses3D val="true"/>
	<continuous val="false"/>
	<usePathAndRegionParameters val="true"/>
	<decimals val="2"/>
	<angleUnit val="degree"/>
	<algebraStyle val="0"/>
	<coordStyle val="0"/>
	<angleFromInvTrig val="false"/>
</kernel>
<scripting blocked="false" disabled="false"/>
<euclidianView3D>
	<coordSystem xZero="-0.12404351301619898" yZero="-0.4555896516350302" zZero="-1.6298445003649529" scale="71.12794258887111" xAngle="13.0" zAngle="-2.072510561598815E7"/>
	<evSettings axes="false" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" gridType="0"/>
	<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
	<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
	<axis id="2" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
	<plate show="false"/>
	<bgColor r="255" g="255" b="255"/>
	<clipping use="true" show="true" size="1"/>
	<projection type="0"/>
</euclidianView3D>
<construction title="" author="" date="">
<command name="Point">
	<input a0="xAxis"/>
	<output a0="C"/>
</command>
<element type="point" label="C">
	<show object="true" label="false" ev="4"/>
	<objColor r="125" g="125" b="255" alpha="0.0"/>
	<layer val="0"/>
	<labelOffset x="10" y="32"/>
	<labelMode val="0"/>
	<animation step="1" speed="1" type="1" playing="false"/>
	<coords x="2.156975447664877" y="0.0" z="1.0"/>
	<coordStyle style="cartesian3d"/>
	<pointSize val="3"/>
	<pointStyle val="0"/>
</element>
<element type="point3d" label="B">
	<show object="true" label="false" ev="4"/>
	<objColor r="125" g="125" b="255" alpha="0.0"/>
	<layer val="0"/>
	<labelOffset x="-34" y="19"/>
	<labelMode val="0"/>
	<animation step="1" speed="1" type="0" playing="false"/>
	<coords x="-1.310981924770572" y="-1.4787219255520991" z="8.881784197001252E-16" w="1.0"/>
	<pointSize val="3"/>
</element>
<element type="point3d" label="A">
	<show object="true" label="false" ev="4"/>
	<objColor r="125" g="125" b="255" alpha="0.0"/>
	<layer val="0"/>
	<labelOffset x="-7" y="-13"/>
	<labelMode val="0"/>
	<animation step="1" speed="1" type="0" playing="false"/>
	<coords x="0.4336566367609587" y="0.6558172087451073" z="1.9999999999999996" w="1.0"/>
	<pointSize val="3"/>
</element>
<command name="Segment">
	<input a0="B" a1="A"/>
	<output a0="a"/>
</command>
<element type="segment3d" label="a">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="C" a1="A"/>
	<output a0="b"/>
</command>
<element type="segment3d" label="b">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="B" a1="C"/>
	<output a0="c"/>
</command>
<element type="segment3d" label="c">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<element type="point3d" label="D">
	<show object="true" label="false" ev="4"/>
	<objColor r="68" g="68" b="68" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<animation step="1" speed="1" type="0" playing="false"/>
	<coords x="-0.9257242924770956" y="1.995917068692794" z="-0.10000000000000009" w="1.0"/>
	<pointSize val="3"/>
</element>
<command name="Segment">
	<input a0="D" a1="A"/>
	<output a0="d"/>
</command>
<element type="segment3d" label="d">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="D" a1="B"/>
	<output a0="e"/>
</command>
<element type="segment3d" label="e">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
	<input a0="B" a1="C" a2="A"/>
	<output a0="poly1" a1="a_1" a2="b_1" a3="c_1"/>
</command>
<element type="polygon3d" label="poly1">
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<show object="true" label="false" ev="4"/>
	<objColor r="153" g="51" b="0" alpha="0.1"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<auxiliary val="false"/>
</element>
<element type="segment3d" label="a_1">
	<show object="true" label="false" ev="4"/>
	<objColor r="153" g="51" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<auxiliary val="false"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="b_1">
	<show object="true" label="false" ev="4"/>
	<objColor r="153" g="51" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<auxiliary val="false"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="c_1">
	<show object="true" label="false" ev="4"/>
	<objColor r="153" g="51" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<auxiliary val="false"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Pyramid">
	<input a0="poly1" a1="D"/>
	<output a0="f" a1="faceBCD" a2="faceACD" a3="faceABD" a4="edgeBD" a5="edgeCD" a6="edgeAD"/>
</command>
<element type="polyhedron" label="f">
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<show object="true" label="false" ev="4"/>
	<objColor r="153" g="51" b="0" alpha="0.4"/>
	<layer val="0"/>
	<labelMode val="0"/>
</element>
<element type="polygon3d" label="faceBCD">
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<show object="true" label="false" ev="4"/>
	<objColor r="153" g="51" b="0" alpha="0.4"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<auxiliary val="false"/>
</element>
<element type="polygon3d" label="faceACD">
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<show object="true" label="false" ev="4"/>
	<objColor r="153" g="51" b="0" alpha="0.4"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<auxiliary val="false"/>
</element>
<element type="polygon3d" label="faceABD">
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<show object="true" label="false" ev="4"/>
	<objColor r="153" g="51" b="0" alpha="0.4"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<auxiliary val="false"/>
</element>
<element type="segment3d" label="edgeBD">
	<show object="true" label="false" ev="4"/>
	<objColor r="153" g="51" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<auxiliary val="false"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="edgeCD">
	<show object="true" label="false" ev="4"/>
	<objColor r="153" g="51" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<auxiliary val="false"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<element type="segment3d" label="edgeAD">
	<show object="true" label="false" ev="4"/>
	<objColor r="153" g="51" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<auxiliary val="false"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Midpoint">
	<input a0="A" a1="D"/>
	<output a0="E"/>
</command>
<element type="point3d" label="E">
	<show object="true" label="false" ev="4"/>
	<objColor r="68" g="68" b="68" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<coords x="-0.24603382785806846" y="1.3258671387189507" z="0.9499999999999997" w="1.0"/>
	<pointSize val="3"/>
</element>
<command name="Midpoint">
	<input a0="D" a1="B"/>
	<output a0="F"/>
</command>
<element type="point3d" label="F">
	<show object="true" label="false" ev="4"/>
	<objColor r="68" g="68" b="68" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<coords x="-1.1183531086238339" y="0.25859757157034746" z="-0.0499999999999996" w="1.0"/>
	<pointSize val="3"/>
</element>
<command name="Midpoint">
	<input a0="B" a1="C"/>
	<output a0="G"/>
</command>
<element type="point3d" label="G">
	<show object="true" label="false" ev="4"/>
	<objColor r="68" g="68" b="68" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<coords x="0.42299676144715237" y="-0.7393609627760496" z="4.440892098500626E-16" w="1.0"/>
	<pointSize val="3"/>
</element>
<command name="Midpoint">
	<input a0="A" a1="B"/>
	<output a0="H"/>
</command>
<element type="point3d" label="H">
	<show object="true" label="false" ev="4"/>
	<objColor r="68" g="68" b="68" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<coords x="-0.4386626440048067" y="-0.4114523584034959" z="1.0000000000000002" w="1.0"/>
	<pointSize val="3"/>
</element>
<command name="Midpoint">
	<input a0="A" a1="C"/>
	<output a0="I"/>
</command>
<element type="point3d" label="I">
	<show object="true" label="false" ev="4"/>
	<objColor r="68" g="68" b="68" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<coords x="1.2953160422129177" y="0.32790860437255365" z="0.9999999999999998" w="1.0"/>
	<pointSize val="3"/>
</element>
<command name="Midpoint">
	<input a0="D" a1="C"/>
	<output a0="J"/>
</command>
<element type="point3d" label="J">
	<show object="true" label="false" ev="4"/>
	<objColor r="68" g="68" b="68" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<coords x="0.6156255775938906" y="0.997958534346397" z="-0.050000000000000044" w="1.0"/>
	<pointSize val="3"/>
</element>
<command name="Segment">
	<input a0="D" a1="I"/>
	<output a0="g"/>
</command>
<element type="segment3d" label="g">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="A" a1="J"/>
	<output a0="h"/>
</command>
<element type="segment3d" label="h">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="C" a1="E"/>
	<output a0="i"/>
</command>
<element type="segment3d" label="i">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="A" a1="G"/>
	<output a0="j"/>
</command>
<element type="segment3d" label="j">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="C" a1="H"/>
	<output a0="k"/>
</command>
<element type="segment3d" label="k">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="B" a1="I"/>
	<output a0="l"/>
</command>
<element type="segment3d" label="l">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="A" a1="F"/>
	<output a0="m"/>
</command>
<element type="segment3d" label="m">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="D" a1="H"/>
	<output a0="n"/>
</command>
<element type="segment3d" label="n">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="B" a1="E"/>
	<output a0="p"/>
</command>
<element type="segment3d" label="p">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="D" a1="G"/>
	<output a0="q"/>
</command>
<element type="segment3d" label="q">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="B" a1="J"/>
	<output a0="r"/>
</command>
<element type="segment3d" label="r">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="C" a1="F"/>
	<output a0="s"/>
</command>
<element type="segment3d" label="s">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Intersect">
	<input a0="k" a1="j"/>
	<output a0="K"/>
</command>
<element type="point3d" label="K">
	<show object="true" label="false" ev="4"/>
	<objColor r="68" g="68" b="68" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<coords x="0.4265500532184212" y="-0.27430157226899726" z="0.6666666666666667" w="1.0"/>
	<pointSize val="3"/>
</element>
<command name="Intersect">
	<input a0="i" a1="g"/>
	<output a0="L"/>
</command>
<element type="point3d" label="L">
	<show object="true" label="false" ev="4"/>
	<objColor r="68" g="68" b="68" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<coords x="0.5549692639829131" y="0.8839114258126339" z="0.6333333333333332" w="1.0"/>
	<pointSize val="3"/>
</element>
<command name="Intersect">
	<input a0="p" a1="n"/>
	<output a0="M"/>
</command>
<element type="point3d" label="M">
	<show object="true" label="false" ev="4"/>
	<objColor r="68" g="68" b="68" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<coords x="-0.6010165268289029" y="0.39100411729526763" z="0.6333333333333335" w="1.0"/>
	<pointSize val="3"/>
</element>
<command name="Intersect">
	<input a0="s" a1="r"/>
	<output a0="N"/>
</command>
<element type="point3d" label="N">
	<show object="true" label="false" ev="4"/>
	<objColor r="68" g="68" b="68" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<coords x="-0.02657692319426319" y="0.17239838104689828" z="-0.03333333333333306" w="1.0"/>
	<pointSize val="3"/>
</element>
<command name="Segment">
	<input a0="A" a1="N"/>
	<output a0="t"/>
</command>
<element type="segment3d" label="t">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="D" a1="K"/>
	<output a0="d_1"/>
</command>
<element type="segment3d" label="d_1">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="B" a1="L"/>
	<output a0="e_1"/>
</command>
<element type="segment3d" label="e_1">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
	<input a0="C" a1="M"/>
	<output a0="f_1"/>
</command>
<element type="segment3d" label="f_1">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
	<outlyingIntersections val="false"/>
	<keepTypeOnTransform val="true"/>
</element>
<command name="Intersect">
	<input a0="f_1" a1="t"/>
	<output a0="O"/>
</command>
<element type="point3d" label="O">
	<show object="true" label="false" ev="4"/>
	<objColor r="68" g="68" b="68" alpha="0.0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<coords x="0.08848146679454238" y="0.2932530879714507" z="0.47500000000000014" w="1.0"/>
	<pointSize val="3"/>
</element>
</construction>
</geogebra>

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

inception

8 December 2015

media type

image/png

checksum

6ca433f89fa386f860224144ac940e9ced2795f3

determination method or standard: SHA-1

data size

74,338 byte

height

1,507 pixel

width

1,896 pixel

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current21:45, 8 December 2015Thumbnail for version as of 21:45, 8 December 20151,896 × 1,507 (73 KB)wikimediacommons>Slawekb{{subst:Upload marker added by en.wp UW}} {{Information |Description = {{en|A 3-simplex, with barycentric subdivisions of 1-faces (edges) 2-faces (triangles) and 3-faces (body).png}} |Source = Created in GeoGebra |Date = 2015-12-08 |Author = [[User:Sla...

The following page uses this file:

Retrieved from "https://en.beta.math.wmflabs.org/wiki/File:Barycentric_subdivision_of_a_3-simplex.png"