Creating an array with a reduced set of elements matching existence of criterion in multiple columns

Question

I want to do this on a much larger problem, but chose the simplest example for a proof of concept.

At the bottom is a CSV of my file (with formulas).

I have data for points (vertices of tetrahedron):

I have a set of derived data for struts (edges of tetrahedron):

I am trying to generate "adaptively" and "dynamically" the array corresponding to Strut IDs for all struts that have a match under either of columns "S" or "E" (not a single column lookup) for label "D", and report the strut ID for the corresponding struts.

I would like the result to look like this:

I would also like to be able to set up similar lookup and tables for other nodes directly below that first result, without positional conflict. From what I've seen, pivot tables will not offer the means of a solution.

I saw a reference to this but there isn't enough information there for me to understand that approach, nor to apply it.

Can anyone offer a solution to my problem?

CSV:

• formulas
• updated with input from accepted answer updated the CSV with
• setup for next phase of "proof-of-concept" for methodology applied to structural analysis of geodesic dome

|||||||||||||||||||||||||||
||||||Circumradius|1||||||||||||||||||||
||||||Edge Length|=H2*4/SQRT(6)||||||||||||||||||||
||||||Face Height|=H3*SIN(60*PI()/180)||||||||||||||||||||
||||||Tet Height|=SQRT(6)*H3/3||||||||||||||||||||
||||||Centroid|=H4/3||||||||||||||||||||
|||||||||||||||||||||||||||
|||||||||||||||||||||||||||
|||||||||||||||||||||||||||
ID|Node|G_ID||||x|y|z|||||||||||||||||||
A|1|A||||=H4-H6|0|0|||||||||||||||||||
B|2|B||||=-H6|=H3/2|0|||||||||||||||||||
C|3|C||||=-H6|=-H3/2|0|||||||||||||||||||
D|4|D||||0|0|=H5|||||||||||||||||||
|||||||||||||||||||||||||||
ID|Strut|G_ID|S|E||Vx|Vy|Vz||-Vx|-Vy|-Vz||Length||Sx|Sy|Sz||Ex|Ey|Ez|||||
AB|1|AB|A|B||=(U17-Q17)/$O17|=(V17-R17)/$O17|=(W17-S17)/$O17||=-G17|=-H17|=-I17||=SQRT( (U17-Q17)^2 + (V17-R17)^2 + (W17-S17)^2 )||=VLOOKUP($D17,$A$11:$I$14,7,0)|=VLOOKUP($D17,$A$11:$I$14,8,0)|=VLOOKUP($D17,$A$11:$I$14,9,0)||=VLOOKUP($E17,$A$11:$I$14,7,0)|=VLOOKUP($E17,$A$11:$I$14,8,0)|=VLOOKUP($E17,$A$11:$I$14,9,0)|||||
BC|2|BC|B|C||=(U18-Q18)/$O18|=(V18-R18)/$O18|=(W18-S18)/$O18||=-G18|=-H18|=-I18||=SQRT( (U18-Q18)^2 + (V18-R18)^2 + (W18-S18)^2 )||=VLOOKUP($D18,$A$11:$I$14,7,0)|=VLOOKUP($D18,$A$11:$I$14,8,0)|=VLOOKUP($D18,$A$11:$I$14,9,0)||=VLOOKUP($E18,$A$11:$I$14,7,0)|=VLOOKUP($E18,$A$11:$I$14,8,0)|=VLOOKUP($E18,$A$11:$I$14,9,0)|||||
CA|3|CA|C|A||=(U19-Q19)/$O19|=(V19-R19)/$O19|=(W19-S19)/$O19||=-G19|=-H19|=-I19||=SQRT( (U19-Q19)^2 + (V19-R19)^2 + (W19-S19)^2 )||=VLOOKUP($D19,$A$11:$I$14,7,0)|=VLOOKUP($D19,$A$11:$I$14,8,0)|=VLOOKUP($D19,$A$11:$I$14,9,0)||=VLOOKUP($E19,$A$11:$I$14,7,0)|=VLOOKUP($E19,$A$11:$I$14,8,0)|=VLOOKUP($E19,$A$11:$I$14,9,0)|||||
DA|4|DA|D|A||=(U20-Q20)/$O20|=(V20-R20)/$O20|=(W20-S20)/$O20||=-G20|=-H20|=-I20||=SQRT( (U20-Q20)^2 + (V20-R20)^2 + (W20-S20)^2 )||=VLOOKUP($D20,$A$11:$I$14,7,0)|=VLOOKUP($D20,$A$11:$I$14,8,0)|=VLOOKUP($D20,$A$11:$I$14,9,0)||=VLOOKUP($E20,$A$11:$I$14,7,0)|=VLOOKUP($E20,$A$11:$I$14,8,0)|=VLOOKUP($E20,$A$11:$I$14,9,0)|||||
DB|5|DB|D|B||=(U21-Q21)/$O21|=(V21-R21)/$O21|=(W21-S21)/$O21||=-G21|=-H21|=-I21||=SQRT( (U21-Q21)^2 + (V21-R21)^2 + (W21-S21)^2 )||=VLOOKUP($D21,$A$11:$I$14,7,0)|=VLOOKUP($D21,$A$11:$I$14,8,0)|=VLOOKUP($D21,$A$11:$I$14,9,0)||=VLOOKUP($E21,$A$11:$I$14,7,0)|=VLOOKUP($E21,$A$11:$I$14,8,0)|=VLOOKUP($E21,$A$11:$I$14,9,0)|||||
DC|6|DC|D|C||=(U22-Q22)/$O22|=(V22-R22)/$O22|=(W22-S22)/$O22||=-G22|=-H22|=-I22||=SQRT( (U22-Q22)^2 + (V22-R22)^2 + (W22-S22)^2 )||=VLOOKUP($D22,$A$11:$I$14,7,0)|=VLOOKUP($D22,$A$11:$I$14,8,0)|=VLOOKUP($D22,$A$11:$I$14,9,0)||=VLOOKUP($E22,$A$11:$I$14,7,0)|=VLOOKUP($E22,$A$11:$I$14,8,0)|=VLOOKUP($E22,$A$11:$I$14,9,0)|||||
|||||||||||||||||||||||||||
||||||||||||||||||||||||Struts joined at identified nodes (contributors to force/moment equations)|||
|||||||||||||||||||||||||||
|||||||||||||||||||||||||Node|ID|Strut
|||||||||||||||||||||||||4|=INDEX($A$11:$A$14,MATCH(Z27,$B$11:$B$14,0),1)|"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA27=$D$17:$D$22)+(AA27=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA27=$D$17:$D$22)+(AA27=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA27=$D$17:$D$22)+(AA27=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA27=$D$17:$D$22)+(AA27=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA27=$D$17:$D$22)+(AA27=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA27=$D$17:$D$22)+(AA27=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||
|||||||||||||||||||||||||Node|ID|Strut
|||||||||||||||||||||||||1|=INDEX($A$11:$A$14,MATCH(Z35,$B$11:$B$14,0),1)|"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA35=$D$17:$D$22)+(AA35=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA35=$D$17:$D$22)+(AA35=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA35=$D$17:$D$22)+(AA35=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA35=$D$17:$D$22)+(AA35=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA35=$D$17:$D$22)+(AA35=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA35=$D$17:$D$22)+(AA35=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||
|||||||||||||||||||||||||Node|ID|Strut
|||||||||||||||||||||||||2|=INDEX($A$11:$A$14,MATCH(Z43,$B$11:$B$14,0),1)|"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA43=$D$17:$D$22)+(AA43=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA43=$D$17:$D$22)+(AA43=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA43=$D$17:$D$22)+(AA43=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA43=$D$17:$D$22)+(AA43=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA43=$D$17:$D$22)+(AA43=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA43=$D$17:$D$22)+(AA43=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||
|||||||||||||||||||||||||Node|ID|Strut
|||||||||||||||||||||||||3|=INDEX($A$11:$A$14,MATCH(Z51,$B$11:$B$14,0),1)|"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA51=$D$17:$D$22)+(AA51=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA51=$D$17:$D$22)+(AA51=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA51=$D$17:$D$22)+(AA51=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA51=$D$17:$D$22)+(AA51=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA51=$D$17:$D$22)+(AA51=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"
|||||||||||||||||||||||||||"{=IFERROR(INDIRECT(""B""&SMALL(IF((AA51=$D$17:$D$22)+(AA51=$E$17:$E$22),ROW($D$17:$D$22),""""),ROW($D$17:$D$22)-16)),"""")}"

Answer 1

The link in your question is good, but it needs to be adjusted as follows.

=IFERROR(INDIRECT("B"&SMALL(IF(X25=$D$17:$D$22;ROW($D$17:$D$22);"");ROW($D$17:$D$22)-16));"")

Enter as an array formula {} by pressing Ctrl+Shift+Enter. The result is 4, 5, and 6 as you requested.

Adjustments:

• INDIRECT("B"& — In your case, you want the value from column B, not the index.
• X25= instead of "a"= because you want the value from that row.
• ROW($D$17:$D$22)-16 instead of ROW()-2 because the row number is from the D column, not from the location where you're putting the formula.

EDIT:

The OR function itself will not work in an array formula, so use the + operator instead.

=IFERROR(INDIRECT("B"&SMALL(IF((X25=$D$17:$D$22)+(X25=$E$17:$E$22);ROW($D$17:$D$22);"");ROW($D$17:$D$22)-16));"")

Result: 2, 3, 6

Regarding your other comment, it's not directly based on the size of the source — the resulting array is actually that big, only some of the results are empty strings ("" in the formula). You could add a filter to hide empty results by selecting column Y, going to Data > Auto Filter and unchecking (empty).