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little 2-cubes operad E2
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<_-.Rectangle roleName="Ψ1"> | |
<Rectangle roleName="1"/> | |
</_-.Rectangle> |
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<_-.Rectangle roleName="Ψ2"> | |
<Rectangle roleName="2"/> | |
<Rectangle roleName="3"/> | |
</_-.Rectangle> |
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<_-.Rectangle roleName="Ψ3"> | |
<Rectangle roleName="4"/> | |
<Rectangle roleName="5"/> | |
</_-.Rectangle> |
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<_-.Rectangle roleName="Ψ4"> | |
<Rectangle roleName="6"/> | |
<Rectangle roleName="7"/> | |
</_-.Rectangle> |
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<?xml version="1.0" encoding="UTF-8"?> | |
<!--Xholon Workbook http://www.primordion.com/Xholon/gwt/ MIT License, Copyright (C) Ken Webb, Sat Jul 22 2017 17:26:27 GMT-0400 (EDT)--> | |
<XholonWorkbook> | |
<Notes><![CDATA[ | |
Xholon | |
------ | |
Title: little 2-cubes operad E2 | |
Description: | |
Url: http://www.primordion.com/Xholon/gwt/ | |
InternalName: 25a385f2ed39c7912c1179a7a45ea868 | |
Keywords: | |
My Notes | |
-------- | |
July 18, 2017 | |
Building block Ψ1 (select node "1" in the larger rectangle, and do Edit > Paste Replacement): | |
<Rectangle roleName="Ψ1"> | |
<Rectangle roleName="1"/> | |
</Rectangle> | |
But, I want rectangle Ψ1 to be flattened during the operation. | |
- making it a forest makes the whole operation fail silently | |
It should be: | |
<_-.Rectangle roleName="Ψ1"> | |
<Rectangle roleName="1"/> | |
</_-.Rectangle> | |
This works: | |
<Rectangle roleName="1"/> | |
July 19, 2017 | |
version 2 | |
--------- | |
The only way I can currently do this in Xholon, is with xi:include, which is the Xholon way of doing file inclusion. | |
The included file has to be a FOREST, when there are more than one top-level nodes. | |
But psi1.xml could be just (but best to make it part of a FOREST)): | |
<Rectangle roleName="1"/> | |
version 1 | |
--------- | |
Using my fixed version of pasteReplacement() in CutCopyPaste.java (Edit > Paste Replacement (from clipboard)): | |
paste into original rectangle 1: | |
<_-.Rectangle roleName="Ψ1" operation="replace"> | |
<Rectangle roleName="101"/> | |
</_-.Rectangle> | |
paste into original rectangle 2: | |
<_-.Rectangle roleName="Ψ2" operation="replace"> | |
<Rectangle roleName="201"/> | |
<Rectangle roleName="202"/> | |
</_-.Rectangle> | |
paste into original rectangle 3: | |
<_-.Rectangle roleName="Ψ3" operation="replace"> | |
<Rectangle roleName="301"/> | |
<Rectangle roleName="302"/> | |
</_-.Rectangle> | |
paste into original rectangle 4: | |
<_-.Rectangle roleName="Ψ4" operation="replace"> | |
<Rectangle roleName="401"/> | |
<Rectangle roleName="402"/> | |
</_-.Rectangle> | |
References | |
---------- | |
(1) http://math.mit.edu/~dspivak/informatics/Matriarch_ACS_BMSE.PDF | |
Figure 2. Architecture of rectangle arrangements. Equivalent to an early | |
example of an operad from mathematics called the little 2-cubes operad | |
E2. In the terminology of this paper, the only building blocks in E2 are | |
rectangles. A building instruction in E2 is an arrangement of nonoverlapping | |
rectangles within a larger rectangle. In the composition, the placements and | |
aspect ratios of building blocks are retained, but sizes can change. The | |
operad E2 is the mathematical description of rectangle configurations as | |
they are nested into hierarchies of arbitrary depth. The operad underlying | |
Matriarch is far more complex than E2, with more diverse building blocks | |
and building instructions. | |
]]></Notes> | |
<_-.XholonClass> | |
<PhysicalSystem/> | |
<Rectangle/> | |
</_-.XholonClass> | |
<xholonClassDetails> | |
</xholonClassDetails> | |
<PhysicalSystem xmlns:xi="http://www.w3.org/2001/XInclude"> | |
<!-- this is the original larger rectangle --> | |
<Rectangle roleName="Ψ version 1"> | |
<Rectangle roleName="1"/> | |
<Rectangle roleName="2"/> | |
<Rectangle roleName="3"/> | |
<Rectangle roleName="4"/> | |
</Rectangle> | |
<Rectangle roleName="Ψ version 2"> | |
<xi:include href="https://gist.github.com/kenwebb/25a385f2ed39c7912c1179a7a45ea868/raw/psi1.xml"/> | |
<xi:include href="https://gist.github.com/kenwebb/25a385f2ed39c7912c1179a7a45ea868/raw/psi2.xml"/> | |
<xi:include href="https://gist.github.com/kenwebb/25a385f2ed39c7912c1179a7a45ea868/raw/psi3.xml"/> | |
<xi:include href="https://gist.github.com/kenwebb/25a385f2ed39c7912c1179a7a45ea868/raw/psi4.xml"/> | |
</Rectangle> | |
</PhysicalSystem> | |
<SvgClient><Attribute_String roleName="svgUri"><![CDATA[data:image/svg+xml, | |
<svg width="100" height="50" xmlns="http://www.w3.org/2000/svg"> | |
<g> | |
<title>Rectangle</title> | |
<rect id="PhysicalSystem/Rectangle" fill="#98FB98" height="50" width="50" x="25" y="0"/> | |
<g> | |
<title>sub Rectangle</title> | |
<rect id="PhysicalSystem/Rectangle[2]" fill="#6AB06A" height="50" width="10" x="80" y="0"/> | |
</g> | |
</g> | |
</svg> | |
]]></Attribute_String><Attribute_String roleName="setup">${MODELNAME_DEFAULT},${SVGURI_DEFAULT}</Attribute_String></SvgClient> | |
</XholonWorkbook> |
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