History of Volumes of the hyperbolic Coxeter simplices

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when	who	what
2026-09-16 06:37	bmatschke interactive	T175 moved: its address stopped at 'of', having lost the $\pi$ that the phrase is about. The cross-references follow it.	current reviewed
2026-09-13 07:51	zeta3 table-repair@1.100+36e1287a	clarify Coxeter notation, range, related tables, programs, and journal citation
2026-09-13 07:47	zeta3 table-repair@1.100+36e1287a	clarify Coxeter notation, range, related tables, programs, and journal citation
2026-09-13 07:46	zeta3 with codex-cli table-repair@1.100+36e1287a	correct Coxeter symbols and replace check decimals with closed forms
2026-09-13 07:23	zeta3 table-build@1.115+1c04ae7b	add prose for noncompact Coxeter simplex volumes
2026-09-13 07:22	zeta3 with Codex CLI, table-build@1.115+1c04ae7b	noncompact hyperbolic Coxeter simplex volumes
2026-09-13 07:12	zeta3 table-build@1.115+1c04ae7b	claim hyperbolic Coxeter simplex volumes

What changed between 2026-09-13 07:51 and 2026-09-16 06:37

from line 36 (10 lines) @@ -36,10 +36,10 @@

     classes of CITE{KozmaSzirmai}, Table 1.'   comment-regular: The entry $[3^{[3,3]}]$ is the regular ideal tetrahedron. Its volume-    is $3\Lambda(\pi/3)=\mathrm{Cl}_2(\pi/3)$, the Gieseking constant held in HREF{Values_of_the_Clausen_functions_at_rational_multiples_of#2,1/3}[the+    is $3\Lambda(\pi/3)=\mathrm{Cl}_2(\pi/3)$, the Gieseking constant held in HREF{Values_of_the_Clausen_functions_at_rational_multiples_of_pi#2,1/3}[the     table of Clausen values]. Formulas:   formula-lobachevsky: The Lobachevsky function is $\Lambda(\theta)=\frac12\operatorname{Im}\operatorname{Li}_2(e^{2i\theta})     =-\int_0^\theta\log|2\sin t|\,dt$ CITE{KozmaSzirmai}. It is $\frac12\mathrm{Cl}_2(2\theta)$,-    where HREF{Values_of_the_Clausen_functions_at_rational_multiples_of}[$\mathrm{Cl}_2$]+    where HREF{Values_of_the_Clausen_functions_at_rational_multiples_of_pi}[$\mathrm{Cl}_2$]     is the Clausen function.   formula-orthoscheme: If $[p,q,r]$ is a complete hyperbolic Coxeter orthoscheme and

from line 65 (6 lines) @@ -65,6 +65,6 @@

   relation: $[3,3,6]$ and $[3,4,4]$ have volumes one quarter of the $D=-3$ and $D=-4$     Bianchi covolumes-- table: HREF{Values_of_the_Clausen_functions_at_rational_multiples_of}[Values of-    the Clausen functions at rational multiples of $\pi$]+- table: HREF{Values_of_the_Clausen_functions_at_rational_multiples_of_pi}[Values+    of the Clausen functions at rational multiples of $\pi$]   relation: the Lobachevsky values in the formulas are half of Clausen values - table: HREF{Growth_rates_of_hyperbolic_Coxeter_simplex_groups}[Growth rates of hyperbolic

from line 186 (5 lines) @@ -186,5 +186,5 @@

       number: '0.9159655941772190150546035149323841107741493742816721342664981196217630197762547694793565129261151062'       comment: Kozma and Szirmai write this simplex as $\widehat{RR}_3$. Its volume-        is $2\Lambda(\pi/4)$, which is HREF{Values_of_the_Clausen_functions_at_rational_multiples_of#2,1/2}[Catalan's+        is $2\Lambda(\pi/4)$, which is HREF{Values_of_the_Clausen_functions_at_rational_multiples_of_pi#2,1/2}[Catalan's         constant $G$].     '[5,3,6]':