zephyrus.
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ngl, its time for PSL community to catch up on some, apparently, basic orthodontic and morphologic knowledge. felt quite painful reading up on all of this 70 years post fact and literally knowing nothing about one of the most influential factors in determining the structure of the splanchno. itt, i will provide lookism with a basic overview of the basic relations between the cranial base and the face, this will be section 1, which mostly consists of some basic illustrations and the highly basic relation between cranial base angle and prognathism. after this, in section 2, we hit some more uncharted territory when i try to dissect a study on 3d morphology of the cranial base. originally this thread was going to be a cry for help because i did not understand the particular study for shit but yet found it interesting. however, i got sidetracked into mildly understanding it. keep this in mind when reading. this goes for the entire thread, i do not pretend to be knowledgeable on the subject and am thus open for any differing interpretations, contradicting knowledge and suggestions. i post this on here for feedback. also keep in mind that i did far from write this thread in one go and did not bother to proofread at all. this might explain possible contradictions in the text
now, just for reference, this part of the skull is what we will be talking about in this thread.


section 1: cranial base angle/NSBa/NSAr/saddle angle
[there actually is a difference between cranial base angle/NSBa/Nasion-Sella-Basion and saddle angle/NSAr/Nasion-Sella-Articulare, since the Articulare and the Basion are obviously different points. doubt this matters much for our purposes though, as they lie very close to each other and show the exact same relation (the relation between posterior and anterior cranial base), means do differ but its quite irrelevant to us. the reason for the existence of these two differing measurements seems to be that the basion is sometimes difficult to identify on an x-ray, in this case, the articulare is used as a point of measurement. because most of my material referred to NSAr, i will use this along with saddle angle (because i like the ring) to refer to the cranial base angle.]
from the looks of it, cranial base angle has been researched and been found legit for decades now. this is probably in orthodontics text books. makes finding studies with clear explanations harder though, since a lot of them are probably looking to "extent beyond the basics". if all the usable material from the past 50 years looks to extent beyond the basics, its going to be hard for me to find the basics. so if i am using awkward terminology, spending way too much time on something super basic, missing something very basic, thats probably why (keep in mind that i know fuck all about biology or anatomy)
quickly summarized: reduced cranial base angle = increased "forward growth" (in lookism terms), so increased facial-protrusion in relation to the nasion (still not a medical description)
some literature citations (though this seems to be more of the same and just building upon the consensus)
so, summarized (same study):
another source
(very old study, probably one of the ones the entire cranial base thing started with)
since i suspect you are not familiar with cephalometric landmarks, i will add some pics to better illustrate what is meant with increased SNA and SNB


mean SNAr seems to be around 120-125 degrees looking at a bunch of studies, SD around 5-6 degrees
saddle angle differs between the genders, with females having a higher angle (and thus, on average more "recession"/retrognathism)
Yassir (2009) (shit study i know) reports female mean NSAr to be around 124 degrees, male mean to be around 122/121. seems like a bullshit stat though, as the more reputable Naini (2011) reports average NSAr values to be 125 degrees for males and 126 degrees for females with a standard deviation of 5 degrees for both. a much smaller difference. according to Naini (2011), NSBa, "the real thing", shows more average difference between the genders, with males averaging at 129 degrees (5 degree sd) and females averaging 132 degrees (4 degree sd). is this difference anatomically significant (i cant think of a better term)? no idea ngl.
now, i could cite studies confirming this for years, because, like i said, i have some six decades of orthodontic scientific literature to go back on, but i think i have "proved" enough for the standards of lookism.net. i will just leave you with a non-sourced summarizing pic of the cranial angle situation

and another one from Bjork (1955)

just a note: NSBa for a) is about 115, for b) its around 125. no idea whether this representative of how real faces would look like but it gives you an idea on the difference in angle vs the difference in facial appearance were talking about
Bjork (1955) also touches upon the way cranial base affects mandibular positioning and shape, which i do not find too interesting to really dive into now but i will still mention it for the sake of completeness of understanding. according to him, cranial base shape directly affects mandibular fossa positioning. a higher saddle angle would mean a more posteriorly located (look at above pic) mandibular fossa so further back tmj which would obviously affect mandibular protrusion. Enlow & Hans (1996) also state that the mandible attaches to the middle endocranial fossa, which makes the cranial base's effect on mandibular positioning quite straightforward ngl. Bjork (1955) also provides some explanation on the maxilla effect but i really do not understand it for shit ngl tbh look it up if interested pretty sure the study is freely accessible. it kind of makes intuitive sense though, just look at this pic and try to imagine NSAr decreasing and increasing with the grey part having to fit in.

(Enlow & Hans, 1996)
i will give a little quote from Enlow and Hans (1996) for people interested in how exactly the cranial floor affects maxilla positioning.
to illustrate the mandible thing further, imagine point (1) in this pic getting pulled upward and backward (straightening the cranial base angle)


(Naini, 2011)
now, before going off into, what i think is, rougher territory, i would like to quickly highlight the difference between brachycephalic (short headed) and dolichocephalic (long headed), as this seems to be mostly caused by cranial base. i will cite Enlow and Hans (1996) as my source here, but i have read more that confirmed this. besides, it makes hundred percent intuitive sense.
in short, dolichocephalic heads are characterized by a narrow and long basicranium with a high NSAr/saddle angle. naturally this leads to a narrow (narrow base) and long face, with a tendency towards retrognathism (aka recession. high saddle angle, remember?). brachycephalic heads have a rounder, wider and shorter basicranium with a smaller saddle angle/NSAr. they have an anteroposteriorly as well as vertically shorter, but wider face, with a tendency towards mandibular and maxillary protrusion/prognathism.
for the people with trouble visualizing:

(Enlow & Hans, 1996) (great book btw)
section 2: cranial base orientation/rotation
pic for reference:

now, in this part i will drop the 'citing multiple studies for everything'-thing for a bit. this part will probably be more highlighting just one study than it will be trying to provide everyone with a complete overview. the study in question will be
Bastir, M., & Rosas, A. (2016). Cranial base topology and basic trends in the facial evolution of Homo. Journal of human evolution, 91, 26-35.
(if i quote anything and there is nothing indicating otherwise, assume its this study i am quoting. illustrations were also taken from here, though i am not sure whether this is legal since the study is paywalled tbh)
which i found to be one of the most interesting studies i have ever read and is the reason i decided i wanted to make this post. i will be honest though, i understand fuck all on the methodology, i really do not understand shit. which is why i will mostly limit myself to reciting their conclusions (which i sometimes, being honest, also only mildly understand) and sharing their illustrations. the study seems to be paywalled, which i can bypass trough my uni but i imagine some wont be able to do. if you think i missed essential parts, if particularly interested, pm me, i might be able to help you.
i would like to start by highlighting two definitions, just to get everyone on the same line (lookism often uses these terms in a different manner)
in this study, Rosas & Bastir (2016) aim to further understanding of 3d "relationships between basicranial and facial morphology". just for good measure, what we previously looked at was pretty much all 2d. they analyzed some 78 skulls (as well as some skulls from neanderthalers and mid-pleistocene humans, the study is actually focused on the differences and similarities between these bcs it is on evoluationary morphology and all) with computer software with a set of some 51 3d landmarks. now, this is where methodology gets vague. i am pretty sure that they extrapolate on obtained cranial shape data to estimate relations between cranial and facial morhology. actually, i am sure. but how? idk tbh, i am completely unfamiliar with this. i will quote:
given that i have no idea what pls even means, i will now give you some of the results. this image immediately woke me up when i saw it, legit wtf.

before going of into the description of what actually happens between these pictures i would like to just highlight that what i think is one of the most interesting things this pic illustrates. it is how much of an impact the lateral projection of the neurocranium in relation to splanchnocranium has on facial aesthetics. i have tried to word this before but this pic is the first time i have actually very very clearly seen the difference illustrated. look at the difference in zygomatic arch vs zygomatic lateral projection between the two, look at the difference between lateral orbital margin lateral projection and neurocranium (/temporal if you will) projection. thats what makes and breaks these skulls imo. wide sockets and a flat neuro + zygomatic arches are massive for facial aesthetics, you do not want to be able to see your zygomatic arches from a frontal, the angle with the zygoma should be 90 degrees and no more. flat neuro should be a given ideal
Now, to get back to the point, the left skull (toward the negative scores of pls1) has a "wide and elongated middle cranial fossa with a relatively elongated anterior cranial floor" aka a long basicranium with widening in the middle. the associated facial characteristics are pretty clear, small and recessed (upper) face, "mediolaterally" (in the words of Rosas & Bastir) narrow. this is a recipe for disaster if you ask me ngl, the cranium laterally protruding so far beyond the lateral orbital wall/zygos in general with the zygomatic arches actually tilting outward is without a doubt one of the most reliable indicators of complete subhumanity.
towards the positive values of pls1 though, slayerdom seems ensured (that is, by lookism standards for midfacial aesthetics).
looks amazing in my eyes from the top down. especially the orbitals seem really aesthetic to me. the upper two pics make it seem to me that the middle cranial fossa and the lateral orbital wall actually "rotate like an axis", like in relation with each other, which i would find incredibly interesting. negative pls1 score-skull (ie elongated and wide middle and anterior floor) seems to have "internally rotated" orbitals, with the positive pls1 score-skull (ie short and narrow middle and anterior floor) seemingly having more externally rotated/facing forward lateral orbitals, looking miles better aesthetically. however, the second two pics make it appear like the orbitals and zygoma are fixed in position, with the only difference in appearance stemming from the wider cranium. the authors dont talk about this, leaving me to believe (sadly) that the second pic provides us with the best overview. would love to be proven wrong though.
for people having a hard time visualizing the difference between long anterior and middle cranial fossa and a wide and a narrow mid cranial fossa, Rosas & Bastir (2016) (legit) have you covered no worries

the changes to the face are illustrated in this amazing gif (one of the most beautiful things i have ever seen next to my oneitis ngl). from upward rotation of the cranial base (subhumanity), to downward rotation (superhumanity)
now, just for reference, this part of the skull is what we will be talking about in this thread.


section 1: cranial base angle/NSBa/NSAr/saddle angle
[there actually is a difference between cranial base angle/NSBa/Nasion-Sella-Basion and saddle angle/NSAr/Nasion-Sella-Articulare, since the Articulare and the Basion are obviously different points. doubt this matters much for our purposes though, as they lie very close to each other and show the exact same relation (the relation between posterior and anterior cranial base), means do differ but its quite irrelevant to us. the reason for the existence of these two differing measurements seems to be that the basion is sometimes difficult to identify on an x-ray, in this case, the articulare is used as a point of measurement. because most of my material referred to NSAr, i will use this along with saddle angle (because i like the ring) to refer to the cranial base angle.]
from the looks of it, cranial base angle has been researched and been found legit for decades now. this is probably in orthodontics text books. makes finding studies with clear explanations harder though, since a lot of them are probably looking to "extent beyond the basics". if all the usable material from the past 50 years looks to extent beyond the basics, its going to be hard for me to find the basics. so if i am using awkward terminology, spending way too much time on something super basic, missing something very basic, thats probably why (keep in mind that i know fuck all about biology or anatomy)
quickly summarized: reduced cranial base angle = increased "forward growth" (in lookism terms), so increased facial-protrusion in relation to the nasion (still not a medical description)
some literature citations (though this seems to be more of the same and just building upon the consensus)
Quote:
This study shows that as the cranial base angle reduces, the maxilla tends to protrude and angle SNA increases. [...] It is clear as the cranial base angle reduces, the mandible tends to protrude, and angle SNB increases Moreover, as the cranial base angle reduces, the chin tends to protrude.
[...]
It can be concluded that mandibular position is affected to a great extent by the changes in the cranial base angle. [...] The smaller the cranial base angle, the more forward the mandibular position [...] larger the cranial base angle, the more backward the position of the mandible.
[...]
Anderson and Popovich[23] found more Class-II occlusions in large cranial base angle subjects (note: Class-II occlusion = subhuman mandibular recession)
[...]
In this study subjects with most closed cranial base angle had a skeletal Class-III jaw relationship (note: this implies that mandible is more affected than maxilla, look up class-III malocclusion to see subhumanity in action. its the classic recessed midface + ridiculous chin protrusion death combo. keep this in mind before posting "NSAr < 50 degrees or death")
[...]
The maxillary length progressively increases with an increase in the cranial base angle [Table 4], thus compensating for increase in its value
so, summarized (same study):
(Bhattacharya, Bhatia, Patel, et al., 2014)Quote:
- The cranial base has definite influence on the maxilla. As the cranial base angle reduces, the maxilla tends to protrude and angle SNA increases.
- The mandibular position is influenced to a greater extent by the cranial base angle than maxillary position. Cranial base angle has a determinant role in influencing the mandibular position.
- The flattening of the cranial base angle causes a clockwise rotation of the mandible.
another source
(Björk, 1955)Quote:
The facial prognathism suffers an average reduction, as regards both the maxilla and the mandible, when the cranial base flattens out. [...] In retrognathic cases the cranial base is often found to by flattened.
(very old study, probably one of the ones the entire cranial base thing started with)
since i suspect you are not familiar with cephalometric landmarks, i will add some pics to better illustrate what is meant with increased SNA and SNB


mean SNAr seems to be around 120-125 degrees looking at a bunch of studies, SD around 5-6 degrees
saddle angle differs between the genders, with females having a higher angle (and thus, on average more "recession"/retrognathism)
(Yassir, 2009)Quote:Females had significantly higher saddle angle than males in both classes
Yassir (2009) (shit study i know) reports female mean NSAr to be around 124 degrees, male mean to be around 122/121. seems like a bullshit stat though, as the more reputable Naini (2011) reports average NSAr values to be 125 degrees for males and 126 degrees for females with a standard deviation of 5 degrees for both. a much smaller difference. according to Naini (2011), NSBa, "the real thing", shows more average difference between the genders, with males averaging at 129 degrees (5 degree sd) and females averaging 132 degrees (4 degree sd). is this difference anatomically significant (i cant think of a better term)? no idea ngl.
now, i could cite studies confirming this for years, because, like i said, i have some six decades of orthodontic scientific literature to go back on, but i think i have "proved" enough for the standards of lookism.net. i will just leave you with a non-sourced summarizing pic of the cranial angle situation

and another one from Bjork (1955)

just a note: NSBa for a) is about 115, for b) its around 125. no idea whether this representative of how real faces would look like but it gives you an idea on the difference in angle vs the difference in facial appearance were talking about
Bjork (1955) also touches upon the way cranial base affects mandibular positioning and shape, which i do not find too interesting to really dive into now but i will still mention it for the sake of completeness of understanding. according to him, cranial base shape directly affects mandibular fossa positioning. a higher saddle angle would mean a more posteriorly located (look at above pic) mandibular fossa so further back tmj which would obviously affect mandibular protrusion. Enlow & Hans (1996) also state that the mandible attaches to the middle endocranial fossa, which makes the cranial base's effect on mandibular positioning quite straightforward ngl. Bjork (1955) also provides some explanation on the maxilla effect but i really do not understand it for shit ngl tbh look it up if interested pretty sure the study is freely accessible. it kind of makes intuitive sense though, just look at this pic and try to imagine NSAr decreasing and increasing with the grey part having to fit in.

(Enlow & Hans, 1996)
i will give a little quote from Enlow and Hans (1996) for people interested in how exactly the cranial floor affects maxilla positioning.
The nasomaxillary complex is suspended from the anterior endocranial fossae, and the width of the facial airway, the configuration of the palate and maxillary arch, and the placement of all these parts are thus established by it.
to illustrate the mandible thing further, imagine point (1) in this pic getting pulled upward and backward (straightening the cranial base angle)


(Naini, 2011)
now, before going off into, what i think is, rougher territory, i would like to quickly highlight the difference between brachycephalic (short headed) and dolichocephalic (long headed), as this seems to be mostly caused by cranial base. i will cite Enlow and Hans (1996) as my source here, but i have read more that confirmed this. besides, it makes hundred percent intuitive sense.
in short, dolichocephalic heads are characterized by a narrow and long basicranium with a high NSAr/saddle angle. naturally this leads to a narrow (narrow base) and long face, with a tendency towards retrognathism (aka recession. high saddle angle, remember?). brachycephalic heads have a rounder, wider and shorter basicranium with a smaller saddle angle/NSAr. they have an anteroposteriorly as well as vertically shorter, but wider face, with a tendency towards mandibular and maxillary protrusion/prognathism.
for the people with trouble visualizing:

(Enlow & Hans, 1996) (great book btw)
section 2: cranial base orientation/rotation
pic for reference:

now, in this part i will drop the 'citing multiple studies for everything'-thing for a bit. this part will probably be more highlighting just one study than it will be trying to provide everyone with a complete overview. the study in question will be
Bastir, M., & Rosas, A. (2016). Cranial base topology and basic trends in the facial evolution of Homo. Journal of human evolution, 91, 26-35.
(if i quote anything and there is nothing indicating otherwise, assume its this study i am quoting. illustrations were also taken from here, though i am not sure whether this is legal since the study is paywalled tbh)
which i found to be one of the most interesting studies i have ever read and is the reason i decided i wanted to make this post. i will be honest though, i understand fuck all on the methodology, i really do not understand shit. which is why i will mostly limit myself to reciting their conclusions (which i sometimes, being honest, also only mildly understand) and sharing their illustrations. the study seems to be paywalled, which i can bypass trough my uni but i imagine some wont be able to do. if you think i missed essential parts, if particularly interested, pm me, i might be able to help you.
i would like to start by highlighting two definitions, just to get everyone on the same line (lookism often uses these terms in a different manner)
Quote:i) prognathism, which is the angular relationship between the face and the cranial base, and ii) facial projection, which describes the degree to which the facial profile projects anteriorly [note: also in relation to the cranial base]
in this study, Rosas & Bastir (2016) aim to further understanding of 3d "relationships between basicranial and facial morphology". just for good measure, what we previously looked at was pretty much all 2d. they analyzed some 78 skulls (as well as some skulls from neanderthalers and mid-pleistocene humans, the study is actually focused on the differences and similarities between these bcs it is on evoluationary morphology and all) with computer software with a set of some 51 3d landmarks. now, this is where methodology gets vague. i am pretty sure that they extrapolate on obtained cranial shape data to estimate relations between cranial and facial morhology. actually, i am sure. but how? idk tbh, i am completely unfamiliar with this. i will quote:
now you can tell me wtf they mean with this if you have an idea ngl srs im interested. for math nerds, this is where pls is explained: https://www.casact.org/pubs/dpp/dpp08/08dpp76.pdfQuote:Generalized Procrustes Analysis (GPA) was performed to generate shape data (Mitteroecker and Gunz, 2009). Hypotheses of shape integration were tested by Two-Block Partial Least Squares Analysis (PLS) within the full landmark configuration, following Gunz and Harvati (2007). This method allows for the visual assessment of the PLS shape covariation patterns in the context of the full landmark configuration within the same shape space.
[...]
Partial Least Squares analysis is an ordination method that maximizes the covariation between the basicranial and the facial block and quantifies that with a correlation between scores along corresponding PLS vectors of each block (Bastir et al., 2005, Mitteroecker and Gunz, 2009). In addition, an overall correlation coefficient is provided, known as RV-coefficient (Klingenberg et al., 2003). The PLS analyses were performed and the statistical significance assessed by permutation tests (N = 10,000) in MorphoJ geometric morphometric software (Klingenberg, 2011). Finally, the EVAN-toolkit (EVAN-Society, 2010) was used for calculation and visualization of specifically located thin-plates splines (TPS) of warped mean shapes along their respective PLS vectors. These splines are registration-independent interpolations between two landmark configurations and thus the preferable way of visualization (Bastir et al., 2011b). The TPS grids were used to pinpoint features of shape covariation.
given that i have no idea what pls even means, i will now give you some of the results. this image immediately woke me up when i saw it, legit wtf.

before going of into the description of what actually happens between these pictures i would like to just highlight that what i think is one of the most interesting things this pic illustrates. it is how much of an impact the lateral projection of the neurocranium in relation to splanchnocranium has on facial aesthetics. i have tried to word this before but this pic is the first time i have actually very very clearly seen the difference illustrated. look at the difference in zygomatic arch vs zygomatic lateral projection between the two, look at the difference between lateral orbital margin lateral projection and neurocranium (/temporal if you will) projection. thats what makes and breaks these skulls imo. wide sockets and a flat neuro + zygomatic arches are massive for facial aesthetics, you do not want to be able to see your zygomatic arches from a frontal, the angle with the zygoma should be 90 degrees and no more. flat neuro should be a given ideal
Now, to get back to the point, the left skull (toward the negative scores of pls1) has a "wide and elongated middle cranial fossa with a relatively elongated anterior cranial floor" aka a long basicranium with widening in the middle. the associated facial characteristics are pretty clear, small and recessed (upper) face, "mediolaterally" (in the words of Rosas & Bastir) narrow. this is a recipe for disaster if you ask me ngl, the cranium laterally protruding so far beyond the lateral orbital wall/zygos in general with the zygomatic arches actually tilting outward is without a doubt one of the most reliable indicators of complete subhumanity.
towards the positive values of pls1 though, slayerdom seems ensured (that is, by lookism standards for midfacial aesthetics).
Towards the positive PLS1 scores, the cranial bases are narrower, with relatively shorter middle cranial fossae and a shorter anterior cranial floor that correlates with wider, relatively larger, projecting faces with increased alveolar prognathism. Upper facial projection is also evident by the larger relative distance between the nasion and foramen caecum
looks amazing in my eyes from the top down. especially the orbitals seem really aesthetic to me. the upper two pics make it seem to me that the middle cranial fossa and the lateral orbital wall actually "rotate like an axis", like in relation with each other, which i would find incredibly interesting. negative pls1 score-skull (ie elongated and wide middle and anterior floor) seems to have "internally rotated" orbitals, with the positive pls1 score-skull (ie short and narrow middle and anterior floor) seemingly having more externally rotated/facing forward lateral orbitals, looking miles better aesthetically. however, the second two pics make it appear like the orbitals and zygoma are fixed in position, with the only difference in appearance stemming from the wider cranium. the authors dont talk about this, leaving me to believe (sadly) that the second pic provides us with the best overview. would love to be proven wrong though.
for people having a hard time visualizing the difference between long anterior and middle cranial fossa and a wide and a narrow mid cranial fossa, Rosas & Bastir (2016) (legit) have you covered no worries

Note that facial prognathism, projection, and size is associated with a relatively shorter anterior cranial base, while facial reduction (orthognathism) is associated with expanded anterior cranial base lengths in the midline
the changes to the face are illustrated in this amazing gif (one of the most beautiful things i have ever seen next to my oneitis ngl). from upward rotation of the cranial base (subhumanity), to downward rotation (superhumanity)
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