#MiniMog

[tampire]

Winning the MiniMog card

[ethernalium]

Me at the very beginning of final fantasy viii taking away the minimog card from that kid:

[whatsthisascianbullshit]

Fancy barding: get

[sodapaladin]

The Minimog Challenge brought me to Rak’tika, so I’m making the most of it and hitting on the cult members. 😌

[booststarexperts]

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[vampirenextdoor]

Mogtomes, Round 2!

Headed over to Dynamis in the hopes of hopping into Mentor Roulettes and helping out with queues....

Both Dynamis AND Materia were plagued with three-stacks spamming the Bockman guildhest so one person in the "group" easily got their Astrope mount.

I busted my ass FOR MONTHS back in 2021 and now people are doing shit like that????? I got so frustrated that I just headed back to my home server and queued up for Prae and Orbonne. I'm 84 / 100 for carby earring so I'll finish that tomorrow and then will passively do a MSQ roul / minimog and weekly challenge to grab portal maps for my static.

[intersexcharacteroftheday]

today’s intersex character of the day is:

Minimog summon from Final Fantasy VIII

submitted by anonymous

[jameslyart]

Moogles from other Final Fantasy games!

[aquagenesis]

anyway back to final fantasy 8 posting. i haven't made any progress from the card game but it's still Booty Ass that you load up the game, get 7 cards (all low level), then need to AP/EXP grind to get the "card" ability for quezatcotl, AP grind with the cards to get better ones, then go back and beat 2 rounds of the worst card game mechanic in final fantasy history so you have a CHANCE of getting quistis/minimog, only to then finally be able (through drawing 100 blizzard spells for quistis and squall) to actually move forward after the fire cavern.

[ethernalium]

GF Minimog 🥺❤

[allhealthandfitness33]

Minimog - The Next Generation Shopify Theme: Revolutionizing E-Commerce Design

In today's rapidly evolving digital landscape, having an exceptional e-commerce website is crucial for online businesses. Shopify, one of the leading e-commerce platforms, offers a wide range of themes to help businesses create visually appealing and functional online stores. Among these, Minimog stands out as a next-generation Shopify theme that is revolutionizing the way we design and experience e-commerce websites. In this article, we will explore the features and benefits of Minimog, highlighting its potential to elevate your online business to new heights.

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[ohaithe-re]

5, 6, 7, 8

I love small combinatorial structures. Here I'd like to save a few, for my own future reference, I suppose.

The Hoffman-Singleton graph has several nice constructions. Depending on your point of view, it is a graph that is "5-ish", or "6-ish", or 7 or 8. What do I mean by that? Well, the 11-vertex cycle graph is undeniably the number 11. The 8 vertex cube graph probably most screams "2" or "4", but it could also be "6" if you count the 6 faces. Formally, these are small numbers that divide the order of the automorphism group of the graph. When you divide the order of the automorphism group of an object, there's probably an aesthetically pleasing construction of the object that makes that symmetry manifest. The Hoffman-Singleton graph has a staggering 252,000 automorphisms, or 32x9x125x7, so it many nice constructions that look nothing like one another.

This graph is a regular graph, with 50 vertices all of degree 7. That already says something: the number of vertices is divisible by 2 and 5, but the degree gives us 7. Let's go deeper.

That Wikipedia page mentions how it can be built from structures of size 5 (pentagons, pentagrams, and arithmetic mod 5). There's a more elegant description of the Z5 math here. That's the "5", and shows how to divide the 50 into 2x5x5, with many pentagons and pentagrams.

There's the "6", which is based on 1-factorizations of K6. This can be found a few different places, but the main idea is that if you want to build a degree-7 Moore graph, you can take one edge, remove it and its neighbors, and you'll be left with a 6x6 grid to connect in a certain way. This when completed should give you a Sylvester graph. How do you wire that 6x6 graph?

Take a K6 (6 points, all connected to each other). If you try to make a 1-factorization (a way of dividing the edges into 5 disjoint groups, in other words, a perfect 5-coloring), you'll see there's 6 ways. Label the 36 points in your 6x6 grid by (P,F), where P is a point and F is a 1-factorization. Connect (P1,F1) in to (P2,F2) iff P1 and P2 belong to the same 1-factor in both F1 and F2. It turns out this has many nice properties: for any given (P1,P2,F1), there's exactly one F2 that works, and likewise for fixing any other 3. In other words, each 1-factor occurs in exactly two 1-factorizations.

That's the "6". There's more on that here, and the relation to the Generalized Quadrangle here and here.

The Hoffman-Singleton graph can also be constructed from the Fano plane, a specific configuration of 7 points also knowns as "PG(2,2)" or "that horcrux thingy". More specifically, these 7 points get assembled in different ways into PG(3,2). That is also explained on the Wikipedia page on the Hoffman-Singleton graph, and the 7 points of the Fano plane give the degree 7 of the graph. That's the "7".

Now we return one more time to the Sylvester graph. As explained here again, the Sylvester graph arises from the Ternary Golay Code, a specific set of linear equations that can be used to encode 6 ternary symbols into 11 symbols with optimal redundancy. It turns out that the ternary Golay code and the Binary Golay Code, which lets you encode 12 bits in 24, are essentially the only two nontrivial optimal encodings in this form. Where do these two codes come from?

From a miracle! The "Miracle Octad Generator" lets you describe the binary Golay code using octads of 8 elements, and in turn gives rise to beautiful things such as the Leech Lattice. But there's also the ''MiniMOG'', which really should be the "MHG", because it uses hexads instead of octads. You can read about the minimog here or this Google cache. This poster is actually just fantastic. I guess this is really a six then, not an eight, but the MOG (the "8" in this blog post) is great and should be appreciated. My understanding is that there are more connections between the MiniMOG and MOG; for instance, they give constructions of the very special Mathieu groups M11 and M12, or M23 and M24, respectively; and M11 and M12 (from MiniMOG) can be found in M23 and M24 (from MOG). So there are surely some nice ways to see the MOG on 8 elements giving M23, and then M11, and then the ternary Golay code, and then the Sylvester graph, and then the Hoffman-Singleton graph.

[menfiadigital]

The Best 20 Shopify Themes for Your Online Store in 2022

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[ashraf2025]

MinimogWP v1.5.3 – The High Converting eCommerce WordPress Theme

MinimogWP v1.5.3 – The High Converting eCommerce WordPress Theme

Minimog is The Next Generation of highest-converting and extensible WordPress themes that will get you going in close to no time. Demo:…