PP-085 / Purple / Review draft

Full conical-frustum volume

Terminology revised · evidence inherited

PURPLE PAGES Combined 300 Pages. Source pages 2400-2400. Nomenclature updated; historical equations, evidence limits and unresolved relationships retained. Paper notation is a reference profile; the repository reports unresolved Purple/Yellow relationships, so this is not an approved bangel 1.0 program.

PP-085
Full conical-frustum volume
MJ-PBMEF-DAY0-R11-COLOR-PAPERS-180K-FINAL
Syntax expression for BP-ALG-085
module MJ.PBMEF.Blue.BP-ALG-085 {
reference F-089;
expression "F-089 = V_C=H_C/3*(A_B+sqrt(A_B*A_T)+A_T)";
constraint unknown != zero;
verify MK.physics, JO.proof;
permit MJ.required;
}
EXACT MATH OR TYPED IDENTITY
F-089: V_C=H_C/3*(A_B+sqrt(A_B*A_T)+A_T)
CODE -> MATH -> IMAGE -> PROCESS FLOW
Syntax is parsed as a reference candidate; formula or identity resolves to JP; MK classifies physics applicability; JO verifies; visual reference YP-018 presents the
normalized blueprint; Teal TP-085 expresses IF/HOW/THEN; Brown BR-085 expresses the R lifecycle; MJ remains the permit boundary.
RELATED WHITE/PINK SOURCES
FORMULA-REGISTER.json (F-089); Pink Paper formula volumes; relevant family/product White Papers; Blue Page register entry BP-ALG-085.
Michael Patrick Bangel | MJ Physics Engineering | internal pre-passkey reference | no physical, legal, financial, regulatory, or IP-right approval
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Publication is pending owner review. White papers are excluded.