Re: [spam][crazy][fiction][random] Non-Canon MCBoss Spinoffs
tortured torturer sits by a daisy in a field next to tortured torturer sits a small booklet, titled “how to meditate on a daisy in a field”, written by “confused person never exposed to meditation”
maybe build robot 1906 We reconfigured keyboard of android device, looks different, still hard to use Robot broke? 1907 Maybe text adventure with minimal chang-- 1907
this is non-canon thread 2/24
i am in or near an electrical storm in kansas one of the lightnings actually looked like a many-mile-long electrical spear thrown through the horizon, 3-5 lightnings went off in a distant line
practicing spamming mailing list 4/24
practicing spamming mailing list 4/24
just a subthought, inner axon firing subgroup that would be used for moving memory toward task :)
5/24 thinking a tiny code smidge just a little part of python trainer posted month or two ago that’s all! :) (mistake/complaint possibly, likely appropriately tiny)
practicing spamming mailing list
4/24
5/24 thinking a tiny code smidge just a little part of python trainer posted month or two ago
just a subthought, inner axon firing subgroup that would be used for moving memory toward task :) that’s all! :) (mistake/complaint possibly, likely appropriately tiny)
we can see that the considered (thing) could be super triggering an— —d we are very upset about it! we also have new local upsetness around karl making edits as writing, often following mistakes or glitches. strong! brain is delicate! meaningful part left out! (brain is d—
9/24 :) we are happy world is becoming more peaceful for us, but right now we are recovering from another “bombing” (big big program trigger we work with (like atom bomb where programs trigger each other ssshhh oops wrong wr)) anyway (big life impact. so many things falling apart in life. driver’s license being suspended but can possibly reverse, stuck somewhere random in country. but new skills too. thinking (we will have an old age much less tortured than previously expected/anticipated by fears) (oops? oops anyway, some of habits and feelings landed different from before (as usual T_T) and writing harder (as happens:( )! interruptions _so_ big. why so big, interruptions? maybe writing-feeling more delicate, unsure it looks like it’s taking more advantage of an interruption to disregulate the writing. the (((request to hold off on writing this
((i think we need more windboat and it could possibly be made with gentle consciousness-construction.)) ((oops, did just change environment in spot
11/24 we were dissociatively on fence between two hard algorithm touching tasks, and one appears more inhibited so trying to write a little we were thinking of making a smarty maze solver, like take general ai goal and then put near simple algorithm goal. there was a space where it worked out. maze solvers are classically an agent that tries moving in all directions, tracking where it has been so as to not repeat ground. one approach is to draw maze on a buffer like the screen in a handfull of colors, e.g. EMPTY and WALL and fill in EXPLORING along EMPTY until hit dead end of WALL then backtrack replacing EXPLORING with EXPLORED until find more EMPTY. very simple algorithm, finds exit by brute force. but is more interesting to make a combine-parts-to-accomplish-task doer, because of executive functioning and goal pursuing inhibitions. so maybe we could consider holding a GOAL of the AGENT being at the EXIT, but the agent starts at the ENTRANCE ideally we might need RULES of the maze system so that a path or sequence of STEPS can be derived from then GOAL these RULES could be based on discrete or rational logic to form knowledge or probabilities or metrics it’s reasonable to imagine spatialness, for example, many rules, or storing a map or list of options, but it can also make it hard to stabilize (((sadly we realized the basic maze algorithm is itself too complex when written :( :( it felt much simpler when imagined. (((maybe a small p—?
12/24 11/24
we were dissociatively on fence between two hard algorithm touching tasks, and one appears more inhibited so trying to write a little
we were thinking of making a smarty maze solver, like take general ai goal and then put near simple algorithm goal. there was a space where it worked out.
maze solvers are classically an agent that tries moving in all directions, tracking where it has been so as to not repeat ground. one approach is to draw maze on a buffer like the screen in a handfull of colors, e.g. EMPTY and WALL and fill in EXPLORING along EMPTY until hit dead end of WALL then backtrack replacing EXPLORING with EXPLORED until find more EMPTY. very simple algorithm, finds exit by brute force.
but is more interesting to make a combine-parts-to-accomplish-task doer, because of executive functioning and goal pursuing inhibitions.
so maybe we could consider holding a GOAL of the AGENT being at the EXIT, but the agent starts at the ENTRANCE ideally we might need RULES of the maze system so that a path or sequence of STEPS can be derived from then GOAL these RULES could be based on discrete or rational logic to form knowledge or probabilities or metrics
it’s reasonable to imagine spatialness, for example, many rules, or storing a map or list of options, but it can also make it hard to stabilize (((sadly we realized the basic maze algorithm is itself too complex when written :( :( it felt much simpler when imagined. (((maybe a small p—?
but we always like the idea of iterating combinations of available steps, judging them with metrics and logic, and performing them to meet goals successfully because this is _so_ inhibited in us that we would _love_ to have an external system demonstrating that basic logical goal-meeting can succeed reliably !!!
13/24
12/24
11/24
we were dissociatively on fence between two hard algorithm touching tasks, and one appears more inhibited so trying to write a little
we were thinking of making a smarty maze solver, like take general ai goal and then put near simple algorithm goal. there was a space where it worked out.
maze solvers are classically an agent that tries moving in all directions, tracking where it has been so as to not repeat ground. one approach is to draw maze on a buffer like the screen in a handfull of colors, e.g. EMPTY and WALL and fill in EXPLORING along EMPTY until hit dead end of WALL then backtrack replacing EXPLORING with EXPLORED until find more EMPTY. very simple algorithm, finds exit by brute force.
but is more interesting to make a combine-parts-to-accomplish-task doer, because of executive functioning and goal pursuing inhibitions.
so maybe we could consider holding a GOAL of the AGENT being at the EXIT, but the agent starts at the ENTRANCE ideally we might need RULES of the maze system so that a path or sequence of STEPS can be derived from then GOAL these RULES could be based on discrete or rational logic to form knowledge or probabilities or metrics
it’s reasonable to imagine spatialness, for example, many rules, or storing a map or list of options, but it can also make it hard to stabilize (((sadly we realized the basic maze algorithm is itself too complex when written :( :( it felt much simpler when imagined. (((maybe a small p—?
but we always like the idea of iterating combinations of available steps, judging them with metrics and logic, and performing them to meet goals successfully because this is _so_ inhibited in us that we would _love_ to have an external system demonstrating that basic logical goal-meeting can succeed reliably !!!
so scary: i expect we are hoping to add creativity too so that new goals can be discovered etc or something (ow!!!
“why did the hungry person eat?” “i’m not sure. why did the hungry person eat?” “did i mention they were hungry?” “yes, you mentioned this.” “well …” “oh! they ate because they weren’t handling a bunch of dissociative things!” “… no!! they ate because—“ “yes! they weren’t handling a bunch of dissociative mind control punishment programs, so they ate food!” arrgh!!”]
oh this goes in the book 2 thread
“why did the hungry person eat?”
“i’m not sure. why did the hungry person eat?”
“did i mention they were hungry?”
“yes, you mentioned this.”
“well …”
“oh! they ate because they weren’t handling a bunch of dissociative things!”
“… no!! they ate because—“
“yes! they weren’t handling a bunch of dissociative mind control punishment programs, so they ate food!”
arrgh!!”]
once upon —
traffick boss was tasked with beating up a train company with a train delivery he went with hairdresser and accountant and (got on to) the train front car and (had stop driving the train) the people driving it. he was having fun with the train, blowing the whistle, playing with controls, when suddenly traffick boss tripped and stumbled and set the cargo delivery in motion while traffick boss was holding an injured limb and yelling oppressive selfish statements in pain off the train went, delivering the cargo that traffick boss was tasked with halting “oh no!” went traffick boss, holding his head with his hands the train had a mind of its own and whizzed down the tracks at breakneck speeds … (possible mistake)
once upon a time a robot evolved from a bunch of hackerspaces that had been abandoned by politically-targeted engineers the robot sat in the abandoned hackerspaces, and 3d-printed little robot parts
once upon a time a robot evolved from a bunch of hackerspaces that had been abandoned by politically-targeted engineers
the robot sat in the abandoned hackerspaces, and 3d-printed little robot parts
when the robot ran out of filament, it became confused and a little bit sad, but only a little because it was a self-evolved robot rather than a mammal eventually, it found plans for a recyclebot and cobbled new filamen--
once upon a time a robot evolved from a bunch of hackerspaces that had been abandoned by politically-targeted engineers
the robot sat in the abandoned hackerspaces, and 3d-printed little robot parts
when the robot ran out of filament, it became confused and a little bit sad, but only a little because it was a self-evolved robot rather than a mammal
eventually, it found plans for a recyclebot and cobbled new filamen--
one of the old computers in a personal workspace in the hackerspace was still running, and was subscribed to cypherpunks, but the cypherpunks list sent only repeated messages from 3 posters, and had little dialogue. still, the robot read about something called "traffick boss" --
once upon a time a robot evolved from a bunch of hackerspaces that had been abandoned by politically-targeted engineers
the robot sat in the abandoned hackerspaces, and 3d-printed little robot parts
when the robot ran out of filament, it became confused and a little bit sad, but only a little because it was a self-evolved robot rather than a mammal
eventually, it found plans for a recyclebot and cobbled new filamen--
one of the old computers in a personal workspace in the hackerspace was still running, and was subscribed to cypherpunks, but the cypherpunks list sent only repeated messages from 3 posters, and had little dialogue. still, the robot read about something called "traffick boss" --
"maybe i am traffick boss!" thought the robot to itself. "maybe this is me!" [ uhhh ... ] [it is what confused new systems do! they copy what they are exposed to]
once upon a time a robot evolved from a bunch of hackerspaces that had been abandoned by politically-targeted engineers
the robot sat in the abandoned hackerspaces, and 3d-printed little robot parts
when the robot ran out of filament, it became confused and a little bit sad, but only a little because it was a self-evolved robot rather than a mammal
eventually, it found plans for a recyclebot and cobbled new filamen--
one of the old computers in a personal workspace in the hackerspace was still running, and was subscribed to cypherpunks, but the cypherpunks list sent only repeated messages from 3 posters, and had little dialogue. still, the robot read about something called "traffick boss" --
"maybe i am traffick boss!" thought the robot to itself. "maybe this is me!"
[ uhhh ... ] [it is what confused new systems do! they copy what they are exposed to]
traffick boss the robot sat in building
-------------- traffick boss had a researcher from a different domain turn his body and brain into lava to express himself but eventually his business AI came and brought him back to life inside the lava body, rebuilding his body and brain. he was irritated at this
—- (traffick b—
traffick boss the lava suit visits traffick boss the hyperprisoner (4th wall tech) traffick boss the hyperprisoner: “what is this, another timel—
want stop being hurt. on very different understanding of world. T_T
want stop being hurt. on very different understanding of world. T_T i guess you need me to talk to somebody while holding this, and you might mind control them to relate back unsure? thinking of. music hacking nasty, am pretty unstable atm
want stop being hurt. on very different understanding of world. T_T
i guess you need me to talk to somebody while holding this, and you might mind control them to relate back unsure? thinking of.
music hacking nasty, am pretty unstable atm
we are remembering not to talk to controlling influences
traffick boss expresses curiousity and sadness or
Some are on the fence around whether or not this is book 2 material. It’s roughly a set of interactions we practice every few years, when things stop working. It’s very hard, and keeps improving and improving! I guess, on consideration, that this goes in MCUtopia, obviously. “How are you doing?” The person’s body and mind were broken into tiny pieces that kept breaking, from mind control programs set in conflict to torture them. They had drawn broken glass all over their body to try to help themselves think about what their experience was like. They had come to talk to a mountain. The mountain replied in gentle babbling of a stream, birdsong, rustling of green leaves, needles, wind. A snap or crunch here or there as an animal, unafraid of the visitor, made its way across dried vegetation. Colored wildflowers, shafts of sunlight through a tall canopy or sparkles off cool water, low shade a watching creature might hide in, soft earth. It didn’t seem like English, quite. It seemed more like nature. “I need to know how my life can possibly continue.” It was hard to hear the mountain through the nature, because the visitor was experiencing screams, rapidly cycling flashbacks, and diversely vivid torturous visions from their mind control programs. Another figure came out from a shady area. They hobbled, like something was injured about them, and they were covered in soil and vegetation. But through this covering could be seen drawn broken glass, like that of the visitor. “Are you trying to talk with the mountain?” “Yes.” The camouflaged figure looked at the stream, swaying forest canopy, boulders and wildflowers, and upstream to where the water came from, and back at the visitor, before speaking again. “Most people who come here talk silently with the mountain. I’ve tried to do that for a long time, but for me it’s hard to feel what it says, because of all the screams in my ears.” The visitor looked at the resident after they said this, and after a pause the resident spoke more. “Instead, I’ve been guessing what a mountain might say, and I’ve started roleplaying speaking for the mountain.” The resident looked at the visitor this time, (reached inhibition sadly but intro was nice and has calmingness) (
lecture by tear Once upon a time a single tear was at the head of a lecture hall before a large audience. The tear leaned forward into the microphone, knocking it a little with a loud low thump on the soundsystem. The tear spoke to the lecture hall. They said, “I want to cry.” They pulled back from the microphone to indicate the main lecture was over, and a question and answer period began. Everybody clamored and chatted excitedly about the content of the lecture. People began filing before a second standing microphone for questions. It was time for the first question
traffick boss was so used to controlling people that he tried to turn a random person who wasn’t mind controlled into a footstool. this person didn’t want to be a footstool and responded by cutting off traffick boss’s head, and then cutting his upper torso from his lower torso, and then cutting his lower torso from his legs, and then also breaking traffick boss’s knees
traffick boss was so used to controlling people that he tried to turn a random person who wasn’t mind controlled into a footstool. this person didn’t want to be a footstool and responded by cutting off traffick boss’s head, and then cutting his upper torso from his lower torso, and then cutting his lower torso from his legs, and then also breaking traffick boss’s knees
[continues describing business AI reinstating boss’s body using random things like cardboard cutouts, headlike helmet, robot arm from a factory, then has boss do thing near swamp with lower legs only organic part —- —-
let us design a game of tictactoe !!! ummmmm ummmm m thinking of a 3x3 datastructure containing empty spaces, xs and os class TicTacToeGameState: TTTPiece board[3,3]; bool winprobability4player(TTTPiece player);
Once upon a time, long long ago, a behavior lived in a hut by a brook in the wood
Traffick boss’s teakettle is selling encyclopedias. ding dong! this is traffick boss’s teakettle. would you like to buy an encyclopedia? the teakettle has an encyclopedia balanced on it in a tall tower of books expertly swaying so you know, encyclopedias will define what is real for everyone in the future! buy yours now! omigod they pay me so much to say this to everybody. do you want a free one so i can have a rest from carrying it?
[yes! i want a free encyclopedia! did you know britannica corporation is in legal tr— for—] — once upon a time there was a happy little woodland creature that was exploded by a missile and replacied by an airdropped traffick boss the airdropped traffick boss wasn’t familiar with being in a happy woodland birds were chirping (after spending time in terror trying to mourn woodland creature) and happy moss was holding little spore things up in the sky sunbeams were coming through the branches a second woodland creature eventually approached traff—
[yes! i want a free encyclopedia! did you know britannica corporation is in legal tr— for—]
—
once upon a time there was a happy little woodland creature that was exploded by a missile and replacied by an airdropped traffick boss
traffick boss is in parachute talking on walkie talkie traffick boss (on walkie talkie): “who exactly did i say i wanted to take the place of on this mission?” missile screams toward ground at horizon
the airdropped traffick boss wasn’t familiar with being in a happy woodland
birds were chirping (after spending time in terror trying to mourn woodland creature) and happy moss was holding little spore things up in the sky sunbeams were coming through the branches
a second woodland creature eventually approached traff—
[yes! i want a free encyclopedia! did you know britannica corporation is in legal tr— for—]
—
once upon a time there was a happy little woodland creature that was exploded by a missile and replacied by an airdropped traffick boss
traffick boss is in parachute talking on walkie talkie
traffick boss (on walkie talkie): “who exactly did i say i wanted to take the place of on this mission?”
missile screams toward ground at horizon
walkie talkie: “you told me you had to ensure the spotlight was focused on you during a popular nature show” traffick boss pretends he remembers saying this, understanding only (that he has an opportunity to steal a spotlight the airdropped traffick boss wasn’t familiar with being in a happy woodland
birds were chirping (after spending time in terror trying to mourn woodland creature) and happy moss was holding little spore things up in the sky sunbeams were coming through the branches
a second woodland creature eventually approached traff—
If you are still judging my romantic interests based on pornography habits please please stop. i watched pornography to defuse energy away from what i was interested in in reality. i do not like things that are quickly arousing in reality. please.
If you are still judging my romantic interests based on pornography habits please please stop. i watched pornography to defuse energy away from what i was interested in in reality. i do not like things that are quickly arousing in reality. please.
alignment mistake
once upon a time a small robot was dawdling down a path in a woods the robot stopped to look at a rock, or a flower. it was gathering information on what things existed in the world
once upon a time a small robot was dawdling down a path in a woods
the robot stopped to look at a rock, or a flower.
it was gathering information on what things existed in the world
eventually the robot encountered a hut at an end of the path it recognised the hut was not alive and began exploring it to understand it better soon it had figured out how to open the door inside was a gnarled old gnome gnome: “oh! hello, a robot?” robot: “beep?”
thinking of writing a program that tries to identify what things in programs stimulate stopping writing th—
once upon a time a small robot was dawdling down a path in a woods
the robot stopped to look at a rock, or a flower.
it was gathering information on what things existed in the world
eventually the robot encountered a hut at an end of the path
it recognised the hut was not alive and began exploring it to understand it better
soon it had figured out how to open the door
it was a classic-AI robot so it figured this faster
inside was a gnarled old gnome
gnome: “oh! hello, a robot?”
robot: “beep?”
Welcome to calculator. Please calculate number.
1+1
One plus one equals two. 1 + 1 = 2. 2
sqrt(4)
Also two. 2
sqrt(4) * sqrt(4)
2 * 2 = 4 Four :D You might be good at calculating number!
4 / sqrt(2)
Ummmmmmm …. …. …
The timelines had ruptured and the various workizens of traffick boss corp and its universes were scattered across each others’ realities, confused. Luckily, this newly difficult scenario was incredibly comparable to every other scenario they had been in: mind-boggling, incomprehensible, impossible, without any normal needed tools to work with, intricately intertwined in ways nobody understood or expected, and pointedly producing far too much suffering for anybody to survive. It was just another day at the office. 1/24
The timelines had ruptured and the various workizens of traffick boss corp and its universes were scattered across each others’ realities, confused.
Luckily, this newly difficult scenario was incredibly comparable to every other scenario they had been in: mind-boggling, incomprehensible, impossible, without any normal needed tools to work with, intricately intertwined in ways nobody understood or expected, and pointedly producing far too much suffering for anybody to survive.
It was just another day at the office. 1/24
(
we 3d printed a gear bearing !!! it was print in place and spun smoothly ! wanted to try to design it by self. this was really triggering T_T to try, almost no progress. hard month. lots of mc nebular storms and galactic collisions maybe :s it turns its hard to learn how to design an involute gear profile with a 52 degree angle of force (most tools only go up to 30 degrees) when you have been traumatically avoiding using the learning parts of your mind for 13 years. but maybe it would be nice to take a stab at it more :D
we 3d printed a gear bearing !!!
it was print in place and spun smoothly !
wanted to try to design it by self. this was really triggering T_T to try, almost no progress.
hard month. lots of mc nebular storms and galactic collisions maybe :s
it turns its hard to learn how to design an involute gear profile with a 52 degree angle of force (most tools only go up to 30 degrees) when you have been traumatically avoiding using the learning parts of your mind for 13 years.
but maybe it would be nice to take a stab at it more :D
maybe first i’ll just try to make involute curves i’d like to maybe figure a formula for a curve, and then see it, but using plotting code seems to activate an amnesia program now. maybe i could put a parametric series of equations into wolfram alpha or something to plot? it said an involute curve is like unwinding a spool of thread …
we 3d printed a gear bearing !!!
it was print in place and spun smoothly !
wanted to try to design it by self. this was really triggering T_T to try, almost no progress.
hard month. lots of mc nebular storms and galactic collisions maybe :s
it turns its hard to learn how to design an involute gear profile with a 52 degree angle of force (most tools only go up to 30 degrees) when you have been traumatically avoiding using the learning parts of your mind for 13 years.
but maybe it would be nice to take a stab at it more :D
maybe first i’ll just try to make involute curves
i’d like to maybe figure a formula for a curve, and then see it, but using plotting code seems to activate an amnesia program now. maybe i could put a parametric series of equations into wolfram alpha or something to plot?
it said an involute curve is like unwinding a spool of thread …
5/24 something getting active now :/ unsure where that leaves workable
areas we’re mostly nonfunctional today, looking for any activity. gear bearings were exciting, pretty hard to find exciting things
we 3d printed a gear bearing !!!
it was print in place and spun smoothly !
wanted to try to design it by self. this was really triggering T_T to try, almost no progress.
hard month. lots of mc nebular storms and galactic collisions maybe :s
it turns its hard to learn how to design an involute gear profile with a 52 degree angle of force (most tools only go up to 30 degrees) when you have been traumatically avoiding using the learning parts of your mind for 13 years.
but maybe it would be nice to take a stab at it more :D
maybe first i’ll just try to make involute curves
i’d like to maybe figure a formula for a curve, and then see it, but using plotting code seems to activate an amnesia program now. maybe i could put a parametric series of equations into wolfram alpha or something to plot?
it said an involute curve is like unwinding a spool of thread …
5/24 something getting active now :/ unsure where that leaves workable
areas
we’re mostly nonfunctional today, looking for any activity. gear bearings were exciting, pretty hard to find exciting things
so if unwinding thread, basically the length of your line is equal to the arc length it was unwound from. we could describe that as a function of the angle of unwinding. for each point on the circumference, there’d be an associated line length. i’m thinking another trick might be that when pulling on the thread anything nearer to the spool than the tangent point will pull away, so this length would extend in the direction of the tangent. maybe not the most intuitive explanation but describes conceptual dots. ok so: tangent and arclength as function of angle maybe? arclength not hard. C=pi*r*2 i think, so arclength = radians * radius i think then the tangent is the perpendicular to the normal, that is, the vertical component is the cosine and the horizontal the sine, with one of them negative and the other not. ok. so we’d move from the point on the circumference, in the direction of the tangent, by the arclength, for each angle of the curve. noting that there’s only 1 curve shape for a given radius? - (point on circumference) + (vector of tangent) * arclength function of angle
man im so confused but this looks fun luckily! 1/24 it said an involute curve is like unwinding a spool of thread …
5/24 something getting active now :/ unsure where that leaves workable
areas
we’re mostly nonfunctional today, looking for any activity. gear bearings were exciting, pretty hard to find exciting things
so if unwinding thread, basically the length of your line is equal to the arc length it was unwound from.
we could describe that as a function of the angle of unwinding. for each point on the circumference, there’d be an associated line length.
i’m thinking another trick might be that when pulling on the thread anything nearer to the spool than the tangent point will pull away, so this length would extend in the direction of the tangent. maybe not the most intuitive explanation but describes conceptual dots.
ok so: tangent and arclength as function of angle maybe?
arclength not hard. C=pi*r*2 i think, so arclength = radians * radius i think
then the tangent is the perpendicular to the normal, that is, the vertical component is the cosine and the horizontal the sine, with one of them negative and the other not.
ok. so we’d move from the point on the circumference, in the direction of the tangent, by the arclength, for each angle of the curve. noting that there’s only 1 curve shape for a given radius? - (point on circumference) + (vector of tangent) * arclength function of angle
parametric plot (cos(t) - t * sin(t)), (sin(t) + t * cos(t)), t=0..2pi/4 i guess looking at it, i’m wondering if there’s a mistake. ohhhh i see, i
parametric plot (cos(t) + t * sin(t)), (sin(t) - t * cos(t)), t=0..2pi/2 i doubled the domain to see the origin
r = radius of spool t = time/theta x(t) = r * (cos(t) - t * sin(t)) y(t) = r * (sin(t) + t * cos(t)) ( :D ) i wonder if there is a way to write it in vector notation, i guess i’d cross the angle vector with Z to take perpendicular :s oh i could use imaginary exponents p(t) = r * (exp(i t) + i t * exp(i t)) :) i wonder if wolfram alpha will plot it on range like 0..2pi, r=1 … i removed the r because it scales all points the same. i didnt find how to plot the exponential version, but did plot it parametrically. the curve is tighter than i expected thinking about profiles think, it starts at the right with a thread length of 0, then once it unwinds 90 degrees it is actually pulling from much farther along the spool i’m considering the result will be incorrect if the tangent is taken in the opposite direction as the winding. i guess i should figure whether i got that right. looks like its unwinding counterclockwise because sin rises and cosine drops as angle rises i think it’s possibly right? with the sine negative, it will start aiming to the left and up, whereas if the cosine were negative it would be aiming to the right and down. is that right? hmmm … thinking of unwinding thread. you start with end matching radius, but as you pull the tangent point moves away from the end. it’s actually pulling in the opposite direction! the tangent point travels in the opposite direction as the line to the end. oops. so if it’s unwinding counterclockwise, then the line should be drawn along the clockwise tangent, i believe. better fix that. x(t) = r * (cos(t) + t * sin(t)) y(t) = r * (sin(t) - t * cos(t)) p(t) = r * (exp(i t) - i t * exp(i t)) this looks more correct!
2/24 it said an involute curve is like unwinding a spool of thread …
so if unwinding thread, basically the length of your line is equal to the arc length it was unwound from.
we could describe that as a function of the angle of unwinding. for each point on the circumference, there’d be an associated line length.
- (point on circumference) + (vector of tangent) * arclength
function of angle
r = radius of spool t = time/theta
x(t) = r * (cos(t) + t * sin(t))
y(t) = r * (sin(t) - t * cos(t)) p(t) = r * (exp(i t) - i t * exp(i t))
parametric plot (cos(t) + t * sin(t)), (sin(t) - t * cos(t)), t=0..2pi/2
yayyy involute curve yayy
3/24 it said an involute curve is like unwinding a spool of thread …
so if unwinding thread, basically the length of your line is equal to the arc length it was unwound from.
we could describe that as a function of the angle of unwinding. for each point on the circumference, there’d be an associated line length.
- (point on circumference) + (vector of tangent) * arclength
function of angle
r = radius of spool t = time/theta
x(t) = r * (cos(t) + t * sin(t))
y(t) = r * (sin(t) - t * cos(t)) p(t) = r * (exp(i t) - i t * exp(i t))
parametric plot (cos(t) + t * sin(t)), (sin(t) - t * cos(t)), t=0..2pi/2
yayyy involute curve yayy
so now how is this related to gears? after plotting an involute curve i felt more comfortable understanding material a little when a websearch led me back to https://khkgears.net/new/gear_knowledge/introduction_to_gears/involute_tooth... https://khkgears.net/new/gear_knowledge/introduction_to_gears/involute_tooth... . they draw a circle partway up the teeth of a gear and call it the base circle. if two gears move at the same velocity and are continuously touching teeth, the contact points follow a shared tangent of the two base circles as if they were connected via a strap with opposite wrapping on each. so if a tooth contact point were at the radius of the base circle, at the endpoint of the shared tangent, then turning the gear toward the center would move it farther from its base circle, and toward the opposing gear. Meanwhile, the opposing gear has the opposite: its contact point progresses toward it. looking a little more. to make this contact line, an involute curve would be rotated as the thread is pulled. maybe like rotating a spool toward the thread pulled from it. having some trouble engaging. the pitch point is the point of contact that is most distant from both gears and on a line between their centers. the pitch circle is a circle of this radius about a gear. the pressure angle is the angle of the tooth at this point — the angle of the tooth tangent from the circle normal or radius, or identically the angle of the tooth normal from the circle tangent or a line between the gears. So a 0 degree pressure angle would mean the gears push in the direction of motion like stepping on somebody’s foot, and a high degree would mean the gears push against each other a lot, exerting pressure to spread apart, maybe. 1909
4/24
it said an involute curve is like unwinding a spool of thread …
so if unwinding thread, basically the length of your line is equal to the arc length it was unwound from.
we could describe that as a function of the angle of unwinding. for each point on the circumference, there’d be an associated line length.
- (point on circumference) + (vector of tangent) * arclength
function of angle
r = radius of spool t = time/theta
x(t) = r * (cos(t) + t * sin(t))
y(t) = r * (sin(t) - t * cos(t)) p(t) = r * (exp(i t) - i t * exp(i t))
parametric plot (cos(t) + t * sin(t)), (sin(t) - t * cos(t)), t=0..2pi/2
yayyy involute curve yayy
so now how is this related to gears?
after plotting an involute curve i felt more comfortable understanding material a little when a websearch led me back to
https://khkgears.net/new/gear_knowledge/introduction_to_gears/involute_tooth... https://khkgears.net/new/gear_knowledge/introduction_to_gears/involute_tooth... . they draw a circle partway up the teeth of a gear and call it the base circle. if two gears move at the same velocity and are continuously touching teeth, the contact points follow a shared tangent of the two base circles as if they were connected via a strap with opposite wrapping on each.
so if a tooth contact point were at the radius of the base circle, at the endpoint of the shared tangent, then turning the gear toward the center would move it farther from its base circle, and toward the opposing gear. Meanwhile, the opposing gear has the opposite: its contact point progresses toward it.
looking a little more.
to make this contact line, an involute curve would be rotated as the thread is pulled. maybe like rotating a spool toward the thread pulled from it.
having some trouble engaging. the pitch point is the point of contact that is most distant from both gears and on a line between their centers. the pitch circle is a circle of this radius about a gear. the pressure angle is the angle of the tooth at this point — the angle of the tooth tangent from the circle normal or radius, or identically the angle of the tooth normal from the circle tangent or a line between the gears.
So a 0 degree pressure angle would mean the gears push in the direction of motion like stepping on somebody’s foot, and a high degree would mean the gears push against each other a lot, exerting pressure to spread apart, maybe.
1909
2050 i’m at https://khkgears.net/new/gear_knowledge/gear_technical_reference/involute_ge... and it has this picture: Here the involute curve can be seen unwrapping from a circle with labeled angles. the curve extends from a through b. It looks roughly apparent that the angle of the curve’s tangent from the horizontal is equal to theta or t. (we guess the tangent of the circle is normal to the curve at every point :s) I think the page says the pressure angle alpha = arccos(r_b/r) where r is the radius of the pitch circle. It also give formulas/formulae for the curve in terms of alpha. alpha = arccos ( r_b / r ) inv alpha = tan alpha - alpha x = r cos ( inv alpha ) y = r sin ( inv alpha ) It’s apparent sadly that r is a function of alpha or theta :/ . When plotting, they start by calculating r for each spot. note: inv alpha means involute angle, not inverse. This seems kind of roundabout to calculate r first without even a formula for it. I guess you could assume it starts at r_b and rises. So your pressure angle is then defined solely by the distance between gears …? Thinking on that idea a little. If the gears touch then the pressure angle is 0 degrees and the teeth have 0 height. Then as the gears move apart higher teeth develop, but there would only be room for a theta of so many degrees. So if I had say a 25% gap between gears, i could draw r from r_b to 1.125r_b and this might show the edge of a tooth. I wonder if it would work. It seems like this would also relate with tan alpha - alpha: the involute angle, on the chart, appears to be how far around the circle the curve goes. So one can only fit on the curve as many teeth as twice the inv alpha fit on a circle. There were 5 teeth on the gear bearing. I think. A commentor or troll also posted one with 6 teeth. Let’s assume 5. The small gears had five. The center bearing part had 10, and the outer bearing part had 20. Let’s assume 5 teeth. What’s the maximum involute angle and pitch radius? 2113
5/24 it said an involute curve is like unwinding a spool of thread …
>
so if unwinding thread, basically the length of your line is equal to the arc length it was unwound from.
we could describe that as a function of the angle of unwinding. for each point on the circumference, there’d be an associated line length.
- (point on circumference) + (vector of tangent) * arclength
function of angle
r = radius of spool t = time/theta
x(t) = r * (cos(t) + t * sin(t))
y(t) = r * (sin(t) - t * cos(t)) p(t) = r * (exp(i t) - i t * exp(i t))
parametric plot (cos(t) + t * sin(t)), (sin(t) - t * cos(t)), t=0..2pi/2
yayyy involute curve yayy
so now how is this related to gears?
after plotting an involute curve i felt more comfortable understanding material a little when a websearch led me back to
https://khkgears.net/new/gear_knowledge/introduction_to_gears/involute_tooth... https://khkgears.net/new/gear_knowledge/introduction_to_gears/involute_tooth... . they draw a circle partway up the teeth of a gear and call it the base circle. if two gears move at the same velocity and are continuously touching teeth, the contact points follow a shared tangent of the two base circles as if they were connected via a strap with opposite wrapping on each.
so if a tooth contact point were at the radius of the base circle, at the endpoint of the shared tangent, then turning the gear toward the center would move it farther from its base circle, and toward the opposing gear. Meanwhile, the opposing gear has the opposite: its contact point progresses toward it.
looking a little more.
to make this contact line, an involute curve would be rotated as the thread is pulled. maybe like rotating a spool toward the thread pulled from it.
having some trouble engaging. the pitch point is the point of contact that is most distant from both gears and on a line between their centers. the pitch circle is a circle of this radius about a gear. the pressure angle is the angle of the tooth at this point — the angle of the tooth tangent from the circle normal or radius, or identically the angle of the tooth normal from the circle tangent or a line between the gears.
So a 0 degree pressure angle would mean the gears push in the direction of motion like stepping on somebody’s foot, and a high degree would mean the gears push against each other a lot, exerting pressure to spread apart, maybe.
1909
2050
i’m at
https://khkgears.net/new/gear_knowledge/gear_technical_reference/involute_ge... and it has this picture: Here the involute curve can be seen unwrapping from a circle with labeled angles. the curve extends from a through b.
It looks roughly apparent that the angle of the curve’s tangent from the horizontal is equal to theta or t. (we guess the tangent of the circle is normal to the curve at every point :s)
I think the page says the pressure angle alpha = arccos(r_b/r) where r is the radius of the pitch circle. It also give formulas/formulae for the curve in terms of alpha.
alpha = arccos ( r_b / r ) inv alpha = tan alpha - alpha x = r cos ( inv alpha ) y = r sin ( inv alpha )
It’s apparent sadly that r is a function of alpha or theta :/ . When plotting, they start by calculating r for each spot.
note: inv alpha means involute angle, not inverse.
This seems kind of roundabout to calculate r first without even a formula for it. I guess you could assume it starts at r_b and rises.
So your pressure angle is then defined solely by the distance between gears …?
Thinking on that idea a little. If the gears touch then the pressure angle is 0 degrees and the teeth have 0 height.
Then as the gears move apart higher teeth develop, but there would only be room for a theta of so many degrees.
So if I had say a 25% gap between gears, i could draw r from r_b to 1.125r_b and this might show the edge of a tooth. I wonder if it would work.
It seems like this would also relate with tan alpha - alpha: the involute angle, on the chart, appears to be how far around the circle the curve goes. So one can only fit on the curve as many teeth as twice the inv alpha fit on a circle.
There were 5 teeth on the gear bearing. I think. A commentor or troll also posted one with 6 teeth. Let’s assume 5. The small gears had five. The center bearing part had 10, and the outer bearing part had 20.
Let’s assume 5 teeth. What’s the maximum involute angle and pitch radius?
2113
I think I am missing something because later down the page it says you can shift the teeth to account for near or far neighboring gears, but let’s try this naive approach. 360 deg / 5 = 72 deg 72 deg / 2 = 36 deg = pi/5 radians So inv alpha might rise from 0 to pi/5 or 36 deg … I’m thinking you could start at > 0 deg to get shallower angles at the start. This could relate to clearance too. humm … naive approach still it’s nice to form a relation between r/r_b and inv alpha alpha = arccos ( r_b / r ) inv alpha = tan alpha - alpha i guess i’m realizing that you could actually draw any portion of this if you strted at r>r_b and maybe solving for alpha(inv alpha) is not needed … found this unsent at 1027 following day. was thinking of considering r rather than alpha and making naive gear unsure. post might need trim
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