Category 15
Regiment block 18
Members: 35 (13 original + 22 new)
(2872 - 2906)
[FGH level ω+4 => ω+5]
Level 1 | Stage 3-2
Stage 3-2 ~ Breaking Graham's number
Next is the "golden golem googol", the golaagold (previously the "golaada"). A "golem" has many associations. A golem is usually a large stone creature, but it can also mean "formless". Here the idea is that the golaagold is an ultra vast and formless void. It's creepy if you think about it.
(2872) golaagold ☆★ = E100##100#100#100#100#100 = E100##100##5
*alternatively (2873) golaagond and (2874) grand golaagold
With -supentex suffix:
(2875) golaagolda-supentex = E100##100#100#100#100#100#2
*alternatively (2876) grand grand golaagold
(2877) golaagolda-dusupentex = E100##100#100#100#100#100#3
(2878) golaagolda-trisupentex = E100##100#100#100#100#100#4
(2879) golaagolda-quadrisupentex = E100##100#100#100#100#100#5
(2880) golaagolda-quintisupentex = E100##100#100#100#100#100#6
We can also have:
(2881) golaagoldading = E500##500#500#500#500#500
...
(2882) golaagoldachime = E1000##1000#1000#1000#1000#1000
(2883) golaagolda-supentexichime = E1000##1000#1000#1000#1000#1000#2
(2884) golaagolda-dusupentexichime = E1000##1000#1000#1000#1000#1000#3
...
(2885) golaagoldabell = E5000##5000#5000#5000#5000#5000
...
(2886) golaagoldatoll = E10,000##10,000#10,000#10,000#10,000#10,000
(2887) golaagolda-supentexitoll = E10,000##10,000#10,000#10,000#10,000#10,000#2
(2888) golaagolda-dusupentexitoll = E10,000##10,000#10,000#10,000#10,000#10,000#3
...
(2889) golaagoldagong = E100,000##100,000#100,000#100,000#100,000#100,000
(2890) golaagolda-supentexigong = E100,000##100,000#100,000#100,000#100,000#100,000#2
(2891) golaagolda-dusupentexigong = E100,000##100,000#100,000#100,000#100,000#100,000#3
...
(2892) golaagoldabong = E100,000,000##100,000,000#100,000,000#100,000,000#100,000,000#100,000,000
(2893) golaagolda-supentexibong = E100,000,000##100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#2
...
(2894) golaagoldathrong =
E100,000,000,000##100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000
(2895) golaagolda-supentexithrong =
E100,000,000,000##100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#2
...
(2896) golaagoldagandingan =
E100,000,000,000,000##100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#100,000,000,000,000
...
(2897) googolsupentex = E100##1#1#1#1#1#2
(2898) gugolda-supentex = E100##100#1#1#1#1#2
(2899) graatagolda-supentex = E100##100#100#1#1#1#2
(2900) greegolda-supentex = E100##100#100#100#1#1#2
(2901) grinningolda-supentex = E100##100#100#100#100#1#2
...
(2902) eceto-golaagold = E303##303#303#303#303#303
(2903) ecetonsupentex = E303##1#1#1#1#1#2
(2904) eceto-golaagolda-supentex = E303##303#303#303#303#303#2
(2905) ecetondusupentex = E303##1#1#1#1#1#3
(2906) eceto-golaagolda-dusupentex ✡ = E303##303#303#03#303#303#3
Category 16
Regiment block 19
Members: 36 (13 original + 23 new)
(2907 - 2942)
[FGH level ω+5 => ω+6]
Next up is the "grueling golden googol", the gruelohgold (previously the "gruelohda"). Grueling because it would take so long to count to!!!
(2907) gruelohgold ☆★ = E100##100#100#100#100#100#100 = E100##100##6
*alternatively (2908) gruelohgond
Also there's
(2909) gruelohgolda-suhex = E100##100#100#100#100#100#100#2
*alternatively (2910) grand gruelohgold
(2911) gruelohgolda-dusuhex = E100##100#100#100#100#100#100#3
*alternatively (2912) grand grand gruelohgold
(2913) gruelohgolda-trisuhex = E100##100#100#100#100#100#100#4
(2914) gruelohgolda-quadrisuhex = E100##100#100#100#100#100#100#5
(2915) gruelohgolda-quintisuhex = E100##100#100#100#100#100#100#6
...
(2916) gruelohgoldading = E500##500#500#500#500#500#500
...
(2917) gruelohgoldachime = E1000##1000#1000#1000#1000#1000#1000
(2918) gruelohgolda-suhexichime = E1000##1000#1000#1000#1000#1000#1000#2
(2919) gruelohgolda-dusuhexchime = E1000##1000#1000#1000#1000#1000#1000#3
...
(2920) gruelohgoldabell = E5000##5000#5000#5000#5000#5000#5000
...
(2921) gruelohgoldatoll = E10,000##10,000#10,000#10,000#10,000#10,000#10,000
(2922) gruelohgolda-suhexitoll = E10,000##10,000#10,000#10,000#10,000#10,000#10,000#2
(2923) gruelohgolda-dusuhexitoll = E10,000##10,000#10,000#10,000#10,000#10,000#10,000#3
...
(2924) gruelohgoldagong = E100,000##100,000#100,000#100,000#100,000#100,000#100,000
(2925) gruelohgolda-suhexigong = E100,000##100,000#100,000#100,000#100,000#100,000#100,000#2
(2926) gruelohgolda-dusuhexigong = E100,000##100,000#100,000#100,000#100,000#100,000#100,000#3
...
(2927) gruelohgoldabong =
E100,000,000##100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000
(2928) gruelohgolda-suhexibong =
E100,000,000##100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#100,000,000#2
...
(2929) gruelohgoldathrong =
E100,000,000,000##100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000
(2930) gruelohgolda-suhexithrong =
E100,000,000,000##100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#100,000,000,000#2
...
(2931) gruelohgolda-suhexigandingan =
E100,000,000,000,000##100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#
100,000,000,000,000#100,000,000,000,000#100,000,000,000,000
...
(2932) googolsuhex = E100##1#1#1#1#1#1#2
(2933) gugolda-suhex = E100##100#1#1#1#1#1#2
(2934) graatagolda-suhex = E100##100#100#1#1#1#1#2
(2935) greegolda-suhex = E100##100#100#100#1#1#1#2
(2936) grinningolda-suhex = E100##100#100#100#100#1#1#2
(2937) golaagolda-suhex = E100##100#100#100#100#100#1#2
...
(2938) eceto-gruelohgold = E303##303#303#303#303#303#303
(2939) ecetonsuhex = E303##1#1#1#1#1#1#2
(2940) eceto-gruelohgolda-suhex = E303##303#303#303#303#303#303#2
(2941) ecetondusuhex = E303##1#1#1#1#1#1#3
(2942) eceto-gruelohgolda-dusuhex ✡ = E303##303#303#303#303#303#303#3
Category 17
Regiment block 20
Members: 33 (13 original + 20 new)
(2943 - 2975)
[FGH level ω+6 => ω+7]
Next is the *gasp* golden googol, the gaspgold:
(2943) gaspgold ☆★ = E100##100#100#100#100#100#100#100 = E100##100##7
*alternatively (2944) gaspgond
(2945) gaspgolda-suheptex = E100##100#100#100#100#100#100#100#2
*alternatively (2946) grand gaspgold
(2947) gaspgolda-dusuheptex = E100##100#100#100#100#100#100#100#3
*alternatively (2948) grand grand gaspgold
(2949) gaspgolda-trisuheptex = E100##100#100#100#100#100#100#100#4
...
(2950) gaspgoldading = E500##500##7
...
(2951) gaspgoldachime = E1000##1000#1000#1000#1000#1000#1000#1000
(2952) gaspgolda-suheptexichime = E1000##1000#1000#1000#1000#1000#1000#1000#2
(2953) gaspgolda-dusuheptexichime = E1000##1000#1000#1000#1000#1000#1000#1000#3
...
(2954) gaspgoldabell = E5000##5000##7
...
(2955) gaspgoldatoll = E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000
(2956) gaspgolda-suheptexitoll = E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
(2957) gaspgolda-dusuheptexitoll = E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
...
(2958) gaspgoldagong = E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000
(2959) gaspgolda-suheptexigong = E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
(2960) gaspgolda-dusuheptexigong = E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
...
(2961) gaspgoldabong = E100,000,000##100,000,000##7
(2962) gaspgoldathrong = E100,000,000,000##100,000,000,000##7
(2963) gaspgoldagandingan = E100,000,000,000,000##100,000,000,000,000##7
...
(2964) googolsuheptex = E100##1#1#1#1#1#1#1#2
(2965) gugolda-suheptex = E100##100#1#1#1#1#1#1#2
(2966) graatagolda-suheptex = E100##100#100#1#1#1#1#1#2
(2967) greegolda-suheptex = E100##100#100#100#1#1#1#1#2
(2968) grinningolda-suheptex = E100##100#100#100#100#1#1#1#2
(2969) golaagolda-suheptex = E100##100#100#100#100#100#1#1#2
(2970) gruelohgolda-suheptex = E100##100#100#100#100#100#100#1#2
...
(2971) eceto-gaspgold = E303##303#303#303#303#303#303#303
(2972) ecetonsuheptex = E303##1#1#1#1#1#1#1#2
(2973) eceto-gaspgolda-suheptex = E303##303#303#303#303#303#303#303#2
(2974) ecetondusuheptex = E303##1#1#1#1#1#1#1#3
(2975) eceto-gaspgolda-dusuheptex ✡ = E303##303#303#303#303#303#303#303#3
Category 18
Regiment block 21
Members: 34 (13 original + 21 new)
(2976 - 3009)
[FGH level ω+7 => ω+8]
Next we have the "ginormous golden googol", the ginorgold:
(2976) ginorgold ☆★ = E100##100#100#100#100#100#100#100#100 = E100##100##8
*alternatively (2977) ginorgond
(2978) ginorgolda-suoctex = E100##100#100#100#100#100#100#100#100#2
*alternatively (2979) grand ginorgold
(2980) ginorgolda-dusuoctex = E100##100#100#100#100#100#100#100#100#3
*alternatively (2981) grand grand ginorgold
(2982) ginorgolda-trisuoctex = E100##100#100#100#100#100#100#100#100#4
...
(2983) ginorgoldading = E500##500##8
...
(2984) ginorgoldachime = E1000##1000#1000#1000#1000#1000#1000#1000#1000
(2985) ginorgolda-suoctexichime = E1000##1000#1000#1000#1000#1000#1000#1000#1000#2
(2986) ginorgolda-dusuoctexichime = E1000##1000#1000#1000#1000#1000#1000#1000#1000#3
...
(2987) ginorgoldabell = E5000##5000##8
...
(2988) ginorgoldatoll = E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000
(2989) ginorgolda-suoctexitoll = E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
(2990) ginorgolda-dusuoctexitoll = E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
...
(2991) ginorgoldagong = E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000
(2992) ginorgolda-suoctexigong = E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
(2993) ginorgolda-dusuoctexigong = E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
...
(2994) ginorgoldabong = E100,000,000##100,000,000##8
(2995) ginorgoldathrong = E100,000,000,000##100,000,000,000##8
(2996) ginorgoldagandingan = E100,000,000,000,000##100,000,000,000,000##8
...
(2997) googolsuoctex = E100##1#1#1#1#1#1#1#1#2
(2998) gugolda-suoctex = E100##100#1#1#1#1#1#1#1#2
(2999) graatagolda-suoctex = E100##100#100#1#1#1#1#1#1#2
(3000) greegolda-suoctex = E100##100#100#100#1#1#1#1#1#2
(3001) grinningolda-suoctex = E100##100#100#100#100#1#1#1#1#2
(3002) golaagolda-suoctex = E100##100#100#100#100#100#1#1#1#2
(3003) gruelohgolda-suoctex = E100##100#100#100#100#100#100#1#1#2
(3004) gaspgolda-suoctex = E100##100#100#100#100#100#100#100#1#2
...
(3005) eceto-ginorgold = E303##303#303#303#303#303#303#303#303
(3006) ecetonsuoctex = E303##1#1#1#1#1#1#1#1#2
(3007) eceto-ginorgolda-suoctex = E303##303#303#303#303#303#303#303#303#2
(3008) ecetonsuoctex = E303##1#1#1#1#1#1#1#1#3
(3009) eceto-ginorgolda-dusuoctex ✡ = E303##303#303#303#303#303#303#303#303#3
Category 19
Regiment block 22
Members: 25 (13 original + 12 new)
(3010 - 3034)
[FGH level ω+8 => ω+9]
(3010) gargantuuld ☆ = E100##100#100#100#100#100#100#100#100#100 = E100##9
*short for "gargantuan golden googol", alternatively (3011) gargantuund
(3012) gargantuulda-suennex = E100##100#100#100#100#100#100#100#100#100#2
*alternatively (3013) grand gargantuuld
(3014) gargantuulda-dusuennex = E100##100#100#100#100#100#100#100#100#100#3
*alternatively (3015) grand grand gargantuuld
(3016) gargantuulda-trisuennex = E100##100#100#100#100#100#100#100#100#100#4
...
(3017) gargantuuldading = E500##500##9
...
(3018) gargantuuldachime = E1000##1000#1000#1000#1000#1000#1000#1000#1000#1000
(3019) gargantuulda-suennexichime = E1000##1000#1000#1000#1000#1000#1000#1000#1000#1000#2
(3020) gargantuulda-dusuennexichime = E1000##1000#1000#1000#1000#1000#1000#1000#1000#1000#3
...
(3021) gargantuuldabell = E5000##5000##9
...
(3022) gargantuuldatoll = E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000
(3023) gargantuulda-suennexitoll = E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
(3024) gargantuulda-dusuennexitoll = E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
...
(3025) gargantuuldagong = E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000
(3026) gargantuulda-suennexigong = E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
(3027) gargantuulda-dusuennexigong = E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
...
(3028) gargantuuldabong = E100,000,000##100,000,000##9
(3029) gargantuuldathrong = E100,000,000,000##100,000,000,000##9
(3030) gargantuuldagandingan = E100,000,000,000,000##100,000,000,000,000##9
...
(3031) eceto-gargantuuld = E303##303#303#303#303#303#303#303#303#303
(3032) ecetonsuennex = E303##1#1#1#1#1#1#1#1#1#2
(3033) eceto-gargantuulda-suennex = E303##303#303#303#303#303#303#303#303#303#2
(3034) eceto-gargantuulda-dusuennex ✡ = E303##303#303#303#303#303#303#303#303#303#3
Category 20
Regiment block 23
Members: 95 (41 original + 54 new)
(3035 - 3129)
[FGH level ω+9 => ω2]
And finally,
(3035) googondold ☆ = E100##100##10
*short for "googondo golden googol", alternatively (3036) googondond
(3037) googondolda-sudecex = E100##100#100#100#100#100#100#100#100#100#100#2
*alternatively (3038) grand googondold
(3039) googondolda-dusudecex = E100##100#100#100#100#100#100#100#100#100#100#3
*alternatively (3040) grand grand googondold
(3041) googondolda-trisudecex = E100##100#100#100#100#100#100#100#100#100#100#4
...
(3042) googondoldading = E500##500##10
...
(3043) googondoldachime = E1000##1000#1000#1000#1000#1000#1000#1000#1000#1000#1000
(3044) googondolda-sudecexichime = E1000##1000#1000#1000#1000#1000#1000#1000#1000#1000#1000#2
(3045) googondolda-dusudecexichime = E1000##1000#1000#1000#1000#1000#1000#1000#1000#1000#1000#3
...
(3046) googondoldabell = E5000##5000##10
...
(3047) googondoldatoll =
E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000
(3048) googondolda-sudecexitoll =
E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
(3049) googondolda-dusudecexitoll =
E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
...
(3050) googondoldagong =
E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000
(3051) googondolda-sudecexigong =
E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
(3052) googondolda-dusudecexigong =
E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
...
(3053) googondoldabong = E100,000,000##100,000,000##10
(3054) googondoldathrong = E100,000,000,000##100,000,000,000##10
(3055) googondoldagandingan = E100,000,000,000,000##100,000,000,000,000##10
...
(3056) eceto-googondold = E303##303#303#303#303#303#303#303#303#303#303
(3057) ecetonsudecex = E303##1#1#1#1#1#1#1#1#1#1#2
(3058) eceto-googondolda-sudecex = E303##303#303#303#303#303#303#303#303#303#303#2
(3059) eceto-googondolda-dusudecex = E303##303#303#303#303#303#303#303#303#303#303#3
...
We now wrap up with numbers involving a deutero-hyperion followed by hyperions... In that case, there are two simplification formats, Ea##b##c and Ea##(b##c)#d.
(3060) googoadold = E100##100##11 = E100##100#100#100#100#100#100#100#100#100#100#100
(comparable to Bowers' grand tridecal = {10, 10, 10, 2} in BEAF)
(3061) googoadoldagong = E100,000##100,000##11
(3062) googoadolda-suendecex = E100##(100##11)#2 = E100##100#100#100#100#100#100#100#100#100#100#100#2
(3063) googoadolda-suendecexigong = E100,000##(100,000##11)#2
(3064) googoadolda-dusuendecex = E100##(100##11)#3
(3065) googoadolda-dusuendecexigong = E100,000##(100,000##11)#3
...
(3066) goograngold = E100##100##12= E100##100#100#100#100#100#100#100#100#100#100#100#100
(3067) goograndoldagong = E100,000##100,000##12
(3068) goograndolda-sudodecex = E100##(100##12)#2
(3069) goograndolda-sudodecexigong = E100,000##(100,000##12)#2
(3070) goograndolda-dusudodecex = E100##(100##12)#3
(3071) goograndolda-dusudodecexigong = E100,000##(100,000##12)#3
...
(3072) googreagold = E100##100##13
(3073) googreagolda-sutriadecex = E100##(100##13)#2
(3074) googreagolda-dusutriadecex = E100##(100##13)#3
...
(3075) googigandold = E100##100##14
(3076) googigandolda-sutetradecex = E100##(100##14)#2
(3077) googigandolda-dusutetradecex = E100##(100##14)#3
...
(3078) googorgedold = E100##100##15
(3079) googuldold = E100##100##16
(3080) googaspdold = E100##100##17
(3081) googinordold = E100##100##18
(3082) googargantuuld = E100##100##19
(3083) googonkosold = E100##100##20
(3084) googoakosold = E100##100##21
(3085) googrankosold = E100##100##22
(3086) googreakosold = E100##100##23
(3087) googigankosold = E100##100##24
(3088) googorgekosold = E100##100##25
(3089) googulkosold = E100##100##26
(3090) googaspkosold = E100##100##27
(3091) googinorkosold = E100##100##28
(3092) googargankosuuld = E100##100##29
(3093) googontritold = E100##100##30
...
(3094) googonsartold = E100##100##40
(3095) googonpetold = E100##100##50
(3096) googonextold = E100##100##60
(3097) googoneptold = E100##100##70
(3098) googonogdold = E100##100##80
(3099) googonentold = E100##100##90
...
(3100) googarganentuuld = E100##100##99
...
(3101) googonhectold ☆ = E100##100##100
(3102) googonkoshectold = E100##100##120
(3103) googonpethectold = E100##100##150
...
(3104) googondohectold = E100##100##200
(3105) googontriahectold = E100##100##300
(3106) googontetrahectold = E100##100##400
(3107) googonpentahectold = E100##100##500
(3108) googonhexahectold = E100##100##600
(3109) googonheptahectold = E100##100##700
(3110) googonoctahectold = E100##100##800
(3111) googonennahectold = E100##100##900
(3112) googonchilold = E100##100##1000
*formerly googonchiliold
...
(3113) googonmyriold = E100##100##10,000
(3114) googonhecta-chilold = E100##100##100,000
*formerly googonhecta-chiliold
(3115) googonchilia-chilold = E100##100##1,000,000
*formerly googonchilia-chiliold
(3116) googonchilia-myriold = E100##100##10,000,000
(3117) googonmyria-myriold = E100##100##100,000,000
*alternatively (3118) googonoctadold
(3119) googonsedeniadold = E100##100##10,000,000,000,000,000
...
We finish this regiment by applying the great-operator, setting up the next line of development ...
(3120) great gugold ☆ = E100##100##1#2 = E100##100##(E100##100)
= E100##100#100#100#100#100# ... ... ... ... ... #100#100#100#100#100 (w/ gugold 100s after E100##)
(3121) great graatagold = E100##100##2#2 = E100##100##(E100##100#100)
(3122) great greegold = E100##100##3#2 = E100##100##(E100##100#100#100)
(3123) great grinningold = E100##100##4#2
(3124) great golaagold = E100##100##5#2
(3125) great gruelohgold = E100##100##6#2
(3126) great gaspgold = E100##100##7#2
(3127) great ginorgold = E100##100##8#2
(3128) great gargantuuld = E100##100##9#2
(3129) great googondold ✡ = E100##100##10#2 = E100##100##(E100##100##10)
= E100##100#100#100#100#100# ... ... ... ... ... #100#100#100#100#100 (w/ googondold 100s after E100##)
Before getting more extraordinary with the next milestone regiment, let's peek into supplementals of the regiments, which I mainly missed -speck, -crumb, -chunk, -bunch, -crowd, -swarm since gigangol = E100#100#100#100.
Category 3
Regiment block 24
Members: 19
(3130 - 3148)
We can create some n-ary extensions of the greagol regiment numbers, mainly based on googol series and -petaxis series.
(3130) greagolbit = E[2]100#100#100
*alternatively (3131) binary-greagol
(3132) ternary-greagol = E[3]100#100#100
(3133) quaternary-greagol = E[4]100#100#100
(3135) quinary-greagol = E[5]100#100#100
(3136) senary-greagol = E[6]100#100#100
(3137) greagolbyte = E[8]100#100#100
*alternatively (3138) octal-greagol
(3139) duodecimal-greagol = E[12]100#100#100
(3140) hexadecimal-greagol = E[16]100#100#100
(3141) vigesimal-greagol = E[20]100#100#100
(3142) sexagesimal-greagol = E[60]100#100#100
...
(3143) binary-tria-petaxis = E[2]1#1#1#3 = 2^^^^3 = E[2]1#1#4 = 2^^^4 = E[2]1#(E[2]1#1#3) = E[2]1#(E[2]1#4)
= E[2]1#(E[2]E[2]E[2]E[2]1) = E[2]1#(E[2]E[2]E[2]2) = E[2]1#(E[2]E[2]4) = E[2]1#(E[2]16) = E[2]1#65,536 = 2^^65,536
(3144) binary-tetra-petaxis = E[2]1#1#1#4 = 2^^^^4 = E[2]1#1#4#2 = 2^^^2^^^4 = E[2]1#1#(E[2]1#65,536) = 2^^^2^^65,536
...
(3145) binary-deka-petaxis = E[2]1#1#1#10 = 2^^^^10
(3146) binary-hecta-petaxis = E[2]1#1#1#100 = 2^^^^100
...
(3147) ternary-tria-petaxis = E[3]1#1#1#3 = 3^^^^3 = 3^^^3^^^3 = 3^^^3^^7,625,597,484,987
Ternary-tria-petaxis is also called "grahal" in Aarex Tiaokhiao's system. It's equal to G1 in Graham function.
(3148) quaternary-tetra-petaxis = E[4]1#1#1#4 = 4^^^^4
Quaternary-tetra-petaxis is also called "tritet" in Jonathan Bowers' system.
Category 4
Regiment block 25
Members: 7
(3149 - 3155)
Miserly, I missed -speck, -crumb, -chunk, -bunch, -crowd, -swarm in gigangol regiment. We define these:
(3149) gigangolspeck = E90#90#90#90
(3150) gigangolcrumb = E95#95#95#95
(3151) gigangolchunk = E99#99#99#99
(3152) gigangolbunch = E101#101#101#101
(3153) gigangolcrowd = E105#105#105#105
(3154) gigangolswarm = E110#110#110#110
We can also have "quinary-penta-exaxis" as follows:
(3155) quinary-penta-exaxis = E[5]1#1#1#1#5 = 5^^^^^5
Quinary penta-exaxis is also equal to "tripent" in Bowers' system.
Category 5
Regiment block 26
Members: 6
(3156 - 3161)
(3156) gorgegolspeck = E90#90#90#90#90
(3157) gorgegolcrumb = E95#95#95#95#95
(3158) gorgegolchunk = E99#99#99#99#99
(3159) gorgegolbunch = E101#101#101#101#101
(3160) gorgegolcrowd = E105#105#105#105#105
(3161) gorgegolswarm = E110#110#110#110#110
Category 6
Regiment block 27
Members: 7
(3162 - 3167)
(3162) gulgolspeck = E90#90#90#90#90#90
(3163) gulgolcrumb = E95#95#95#95#95#95
(3164) gulgolchunk = E99#99#99#99#99#99
(3165) gulgolbunch = E101#101#101#101#101#101
(3166) gulgolcrowd = E105#105#105#105#105#105
(3167) gulgolswarm = E110#110#110#110#110#110
We can also have:
(3168) septenary-hepta-octaxis = E[7]1#1#1#1#1#1#7 = 7^^^^^^^7
Septenary-hepta-octaxis is also equal to "trisept" in Bowers' system.
Category 7
Regiment block 28
Members: 6
(3168 - 3173)
(3168) gaspgolspeck = E90#90#90#90#90#90#90
(3169) gaspgolcrumb = E95#95#95#95#95#95#95
(3170) gaspgolchunk = E99#99#99#99#99#99#99
(3171) gaspgolbunch = E101#101#101#101#101#101#101
(3172) gaspgolcrowd = E105#105#105#105#105#105#105
(3173) gaspgolswarm = E110#110#110#110#110#110#110
Category 8
Regiment block 29
Members: 6
(3174 - 3179)
(3174) ginorgolspeck = E90#90#90#90#90#90#90#90
(3175) ginorgolcrumb = E95#95#95#95#95#95#95#95
(3176) ginorgolchunk = E99#99#99#99#99#99#99#99
(3177) ginorgolbunch = E101#101#101#101#101#101#101#101
(3178) ginorgolcrowd = E105#105#105#105#105#105#105#105
(3179) ginorgolswarm = E110#110#110#110#110#110#110#110
Category 9
Regiment block 30
Members: 6
(3180 - 3185)
(3180) gargantuulspeck = E90#90#90#90#90#90#90#90#90
(3181) gargantuulcrumb = E95#95#95#95#95#95#95#95#95
(3182) gargantuulchunk = E99#99#99#99#99#99#99#99#99
(3183) gargantuulbunch = E101#101#101#101#101#101#101#101#101
(3184) gargantuulcrowd = E105#105#105#105#105#105#105#105#105
(3185) gargantuulswarm = E110#110#110#110#110#110#110#110#110
Category 10
Regiment block 31
Members: 102
(3186 - 3287)
(3186) googondolspeck = E90#90#90#90#90#90#90#90#90#90
(3187) googondolcrumb = E95#95#95#95#95#95#95#95#95#95
(3188) googondolchunk = E99#99#99#99#99#99#99#99#99#99
(3189) googondolbunch = E101#101#101#101#101#101#101#101#101#101
(3190) googondolcrowd = E105#105#105#105#105#105#105#105#105#105
(3191) googondolswarm = E110#110#110#110#110#110#110#110#110#110
Another diagonalization begins! We can have some more googon-x-ol numbers, all of them which are primarily derived from googondol.
(3192) googondialogiol = E100##10,000,000,000 = E100##dialogue
(3193) googonguppiol = E100##(E20) = E100##guppy
(3194) googonminnowol = E100##(E25) = E100##minnow
(3195) googongobiol = E100##(E35) = E100##goby
(3196) googon-gogolol = E100##(E50) = E100##gogol
(3197) googon-ogolol = E100##(E80) = E100##ogol
(3198) googon-googolol = E100##(E100) = E100##googol
(3199) googon-gargoogolol = E100##(E200) = E100##gargoogol = E100##guppychime
*gargoogol = E200 = 10^200, so guppychime = gargoogol, hence (3200) googon-guppychimol
(3201) googon-googoldingol = E100##(E500) = E100##googolding
(3202) googon-googolchimol = E100##(E1000) = E100##googolchime
(3203) googon-googolbellol = E100##(E5000)
(3204) googon-googoltollol = E100##(E10,000)
(3205) googon-googolgongol = E100##(E100,000)
(3206) googonmilliplexionol = E100##(E1,000,000)
(3207) googon-googolbongol = E100##(E100,000,000)
(3208) googonbilliplexionol = E100##(E1,000,000,000)
(3209) googontrialogiol = E100##(E10,000,000,000)
(3210) googon-googolthrongol = E100##(E100,000,000,000)
(3211) googontrilliplexionol = E100##(E1,000,000,000,000)
(3212) googon-googolgandingol = E100##(E100,000,000,000,000)
(3213) googon-guppyplexol = E100##(EE20)
(3214) googon-gogolplexol = E100##(EE50)
(3215) googon-googolplexol = E100##(EE100)
(3216) googon-googolplexichimol = E100##(EE1000)
(3217) googon-googolplexitollol = E100##(EE10,000)
(3218) googon-googolplexigongol = E100##(EE100,000)
(3219) googonmilliduplexionol = E100##(EE1,000,000)
(3220) googontetralogiol = E100##(EE10,000,000,000)
(3221) googon-googolduplexol = E100##(EEE100)
(3222) googon-googolduplexigongol = E100##(EEE100,000)
(3223) googonpentalogiol = E100##(EEE10,000,000,000)
(3224) googon-googoltriplexol = E100##(EEEE100)
(3225) googon-googoltriplexigongol = E100##(EEEE100,000)
(3226) googonhexalogiol = E100##(E1#6)
(3227) googon-googolquadriplexol = E100##(E100#5)
(3228) googonheptalogiol = E100##(E1#7)
(3229) googon-googolquintiplexol = E100##(E100#6)
(3230) googonoctalogiol = E100##(E1#8)
(3231) googonennalogiol = E100##(E1#9)
(3232) googondekalogiol = E100##(E1#10)
(3233) googonhectalogiol = E100##(E1#100)
(3234) googon-grangolol = E100##(E100#100)
(3235) googonchilialogiol = E100##(E1#1000)
(3236) googon-grangolgongol = E100##(E100,000#100,000)
(3237) googon-googoldexol = E100##(E100#1#2) = E100##(E100#(E100))
(3238) googon-googolplexidexol = E100##(E100#2#2)
(3239) googon-tria-taxiol = E100##(E1#1#3)
(3240) googon-grangoldexol = E100##(E100#100#2)
(3241) googon-grangoldexigongol = E100##(E100,000#100,000#2)
(3242) googon-tetra-taxiol = E100##(E1#1#4)
(3243) googon-grangoldudexol = E100##(E100#100#3)
(3244) googon-deka-taxiol = E100##(E1#1#10)
(3245) googon-hecta-taxiol = E100##(E1#1#100)
(3246) googon-greagolol = E100##(E100#100#100)
(3247) googon-greagolgongol = E100##(E100,000#100,000#100,000)
(3248) googon-tria-petaxiol = E100##(E1#1#1#3)
(3249) googon-greagolthrexol = E100##(E100#100#100#2)
(3250) googon-tetra-petaxiol = E100##(E1#1#1#4)
(3251) googon-greagolduthrexol = E100##(E100#100#100#3)
(3252) googon-deka-petaxiol = E100##(E1#1#1#10)
(3253) googon-hecta-petaxiol = E100##(E1#1#1#100)
(3254) googon-gigangolol = E100##(E100#100#100#100)
(3255) googon-gigangoltetrexol = E100##(E100#100#100#100#2)
(3256) googon-deka-exaxiol = E100##(E1#1#1#1#10)
(3257) googon-hecta-exaxiol = E100##(E1#1#1#1#100)
(3258) googon-gorgegolol = E100##(E100#100#100#100#100)
(3259) googon-gorgegolpentexol = E100##(E100#100#100#100#100#2)
(3260) googon-hecta-eptaxiol = E100##(E1#1#1#1#1#100)
(3261) googon-gulgolol = E100##(E100#100#100#100#100#100)
(3262) googon-gulgolhexol = E100##(E100#100#100#100#100#100#2)
(3263) googon-hecta-octaxiol = E100##(E1#1#1#1#1#1#100)
(3264) googon-gaspgolol = E100##(E100#100#100#100#100#100#100)
(3265) googon-gaspgolheptexol = E100##(E100#100#100#100#100#100#100#2)
(3266) googon-hecta-ennaxiol = E100##(E1#1#1#1#1#1#1#100)
(3267) googon-ginorgolol = E100##(E100#100#100#100#100#100#100#100)
(3268) googon-ginorgoloctexol = E100##(E100#100#100#100#100#100#100#100#100)
(3269) googon-gargantuulol = E100##(E100#100#100#100#100#100#100#100#100)
(3270) googon-deka-endekaxiol = E100##(E1#1#1#1#1#1#1#1#1#10)
(3271) googon-googondolol = E100##(E100#100#100#100#100#100#100#100#100#100)
(3272) googon-googonkosolol = E100##(E100##20)
(3273) googon-googonhectolol = E100##(E100##100) = E100##100#2
*alternatively (3274) googon-gugoldol
(3274) googon-googonchilol = E100##(E100##1000)
*formerly googon-googonchiliol
(3275) googon-googonmyriol = E100##(E100##10,000)
...
(3276) googon-ecetonol = E100##(E303) = E100##centillion
(3277) googon-ecetonplexol = E100##(EE303)
(3278) googon-ecetonduplexol = E100##(EEE303)
(3279) googon-ecetontriplexol = E100##(EEEE303)
(3280) googon-ecetondexol = E100##(E303#1#2)
(3281) googon-ecetondudexol = E100##(E303#1#3)
(3282) googon-ecetonthrexol = E100##(E303#1#1#2)
(3283) googon-ecetonduthrexol = E100##(E303#1#1#3)
...
(3284) googon-googolsuplexol = E100##(E100##1#2)
*alternatively (3285) googon-great-googolol and (3286) googon-googon-googololol
(3287) googon-googon-gugoldolol ✡ = E100##(E100##(E100##100)) = E100##100#3