see notation HERE
blasphemorgulus = E100{#,#,1,2}100
tetrentriculus = E100{#,#,#,#}100
transmorgrifihgh = E100{#,#,1,1,2}100
pententriculus = E100{#,#,#,#,#}100
iniquifihgh = E100{#,#,#,1,1,2}100
...
ominongulus = E100{#,#(1)2}100
...
hectastaculated-ominongulus = E100{#,#(1)2;#,##}100 is not equal to E100{#,##(1)2}100, because
hectastaculated-ominongulus's hyperial expanded is {#,##,#,#,... # hyperions ...,#,#,#,#} NOT {#,#,#,#,... ## hyperions ...,#,#,#,#}
so we need a way to continue.
so we say:
hyperion-amp = ominongulus = E100{#,#(1)2}100
hyperion-amp-cross = hectastaculated-ominongulus = E100{#,#(1)2;#,##}100
hyperion-amp-cubor = E100{#,#(1)2;#,###}100
...
hyperion-amp-tope = E100{#,#(1)2;#,#^#}100
hyperion-amp-lattitope = E100{#,#(1)2;#,#^##}100
... ... ...
hyperion-amp-thoth = E100{#,#(1)2;#,#^^#}100
hyperion-amp-tethracrossium = E100{#,#(1)2;#,#^^##}100 (*formerly called hyperion-amp-thothcross, now defunct)
... ... ...
hyperion-amp-thul = E100{#,#(1)2;#,#^^^#}100
hyperion-amp-hexacthul = E100{#,#(1)2;#,#^^^^#}100
...
hyperion-amp-godsgodgulusium = E100{#,#(1)2;#,{#,#,#}}100
... ... ...
hyperion-amp-ominongulusium = E100{#,#(1)2;#,{#,#(1)2}}100 (or hyperion-ampidi-hyperion-ampium, or hyperion-ampidarxitrium, or hyperion-ampitri-triton)
hyperion-ampidi-hyperion-amp-crossium = E100{#,#(1)2;#,{#,#(1)2;#,##}}100
... and so on ...
hyperion-ampitri-teterton = E100{#,#(1)2;#,{#,#(1)2;#,{#,#(1)2}}}100 (formerly hyperion-ampidarxitetrium)
hyperion-ampitri-pepton = E100{#,#(1)2;#,5,#+1}100 (formerly hyperion-ampidarxipentium)
...
hyperion-ampitri-proton-carta-hyperionium = E100{#,#(1)2;#,#,#+1}100
hyperion-ampitri-proton-carta-hyperionium-ampidarxitrium = E100{#,#(1)2;#,3,#+2}100
...
hyperion-ampitri-deuteron-carta-hyperionium = E100{#,#(1)2;#,#,#+2}100
hyperion-ampitri-triton-carta-hyperionium = E100{#,#(1)2;#,#,#+3}100
...
hyperion-ampitri-hyperion-by-deuteronium = E100{#,#(1)2;#,#,#+#}100
hyperion-ampitri-hyperion-by-tritonium = E100{#,#(1)2;#,#,#+#+#}100
...
hyperion-ampitri-deutero-hyperionium = E100{#,#(1)2;#,#,##}100
hyperion-ampitri-trito-hyperionium = E100{#,#(1)2;#,#,###}100
...
hyperion-ampitri-godgahlahium = E100{#,#(1)2;#,#,#^#}100
hyperion-ampitri-gotrigahlahium = E100{#,#(1)2;#,#,#^#+#^#}100
... ... ...
hyperion-ampitri-tethrathothium = E100{#,#(1)2;#,#,#^^#}100
hyperion-ampitri-pentacthulhumium = E100{#,#(1)2;#,#,#^^^#}100
... ... ...
hyperion-ampitri-hyperion-ampium = E100{#,#(1)2;#,3,1,#+1}100
weird. we might have to change route to continue. this work is an in progress so while i fix that let's jump to...
hyperion-ampihyper-hyperion-amp = E100{#,#(1)2;?{#,#(1)2}}100 = E100{#,3,1,1,1,...,1,1,1,2}100
(alternatively hyperion-amp-hyperarxitri)
hyperion-amp-hyperarxitet = E100{#,#(1)2;?{#,#(1)2;?{#,#(1)2}}}100
we need a new diagonalization over {#,#(1)2;?[hyperial]}. with that we need a new notation.
THE NOTATION IS A WIP so for now we can use a "¤" to represent the 1,1,1,1,... in the middle
E100{#,#,1,1,1,...,1,1,1,2}100 = E100{#,#¤2}100 = hyperion-amp-hyperarxihect
now we need new name. we can just come up with "ominonmorgulus" for hyperion-amp-hyperarxihect.
now we can go further with common conventions like cookie fonster did it
ominonmorgularxitri = E100{#,3,2¤2}100
...
ominonmorgulhenus = E100{#,#,2¤2}100
ominonmorguldius = E100{#,#,3¤2}100
...
ominonmorgulgodsgodgulus = E100{#,#,#¤2}100
ominonmorgulblasphemorgulus = E100{#,#,1,2¤2}100
and so on until we reach...
E100{#,#,#,...,2}100
E100{#,#,#,...,3}100
...
proton-carta-hyperionium-line = E100{#,#,#,...,#}100 with a BEAF apprxoimation of {X,X+1(1)2} & X
we already have a notation for this:
proton-carta-hyperionium-line = E100{#,#+1(1)2}100
deuteron-carta-hyperionium-line = E100{#,#+2(1)2}100
triton-carta-hyperionium-line = E100{#,#+3(1)2}100
...
deutero-hyperionium-line = E100{#,##(1)2}100 (alternatively ominongulcross)
and THIS IS EQUAL TO ominongulcross.
trito-hyperionium-line = E100{#,###(1)2}100 (alternatively ominongulcubor)
et cetera...
tethrathothium-line = E100{#,#^^#(1)2}100
...
"perplexulus" (by sbiis saibian in a hidden article) = E100{#,#,2(1)2}100
perduplexulus (i coined this like the other numbers) = E100{#,#,3(1)2}100
...
ominongodsgodgulus = E100{#,#,#(1)2}100
ominonblasphemorgulus = E100{#,#,1,2(1)2}100
...
secundo-ominongulus = E100{#,#(1)3}100
tertio-ominongulus = E100{#,#(1)4}100
...
and finally we can use our old friend, amp
proton-carta-hyperionium-amp = E100{1+#&#}100 = E100{#,#(1)#}100
one catch here, the amp function is based on BEAF and BEAF's X&X ~ the hyperial #^# and X^X&X ~ the hyperial #^#^#
so we will soon see an offset.
TBC