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Stretching two of my development diaries in interesting directions https://masterofolympus.wordpress.com/2026/01/19/diary-75-needs-more-numbers/

This entry was significantly easier to write than the last: if Part 2 was me pushing a stone up a hill, Part 3 was watching it roll back down. I wrote most of it on the train to work.

The objective was to give Idil a chance to show off her abilities. We see four applications of Earthwitch skills here, but its the final one that is the most significant. Idil breaks the rule that was so firmly laid down earlier in the story. She's gone from being willing (ish) to sacrifice Mina for the sake of the Earth to willing to do the exact opposite.

The final scene is a deliberate reflection of the end of Part 2. Unusually for me I both drafted and typed up the first, longer section of Part 3 before moving on to this one. I've gone for a slightly different narration style in the latter part. There are two paragraphs that end with a "..." indicating an interruption of Mina's internal monologue. I'm not sure if this works. As always I'd welcome any opinions on this or other aspects of the story.

Part 3

Mina looked back over the valley, glad of the opportunity to catch her breath. The slopes on either side curved smoothly towards each other; it was hard to believe that the climb had been so steep and rough. As her eyes followed the slopes upwards green turned to grey, and rocky crags jutted out from the summits. Between these crags the occasional flash of silver water was visible. The water cascaded off the hills and met in the river below. Up here the river was a rocky torrent, but, as Mina  followed it downhill, it smoothed out and widened. In the distance, in the lowlands where they had started their journey, it resembled a silver ribbon. The transformation in the river as it progressed resembled the changes they had seen on their journey. Having started in farmland, they were now in wild, untameable hills: the home of sheep. Mina could see them dotted evenly around the valley, and could hear their occasional bleats.

Mina tried to take in the whole view at once, aware that she might not see it again. Her pack bit into her shoulders and her feet felt hot and damp inside her boots. She looked over her shoulder at Roy. He was standing some way above her, on a rock half-buried in the hillside. It jutted stubbornly out of the grass, crowned with moss; it seemed, to Mina, like a mountain all of Roy's own. Idil, meanwhile, stood between them, and Roy was watching her intently. Mina was not sure why: she had stood in the same position for some minutes, with one hand on her staff and the other by her side, palm open. Her eyes were closed and she was frowning in concentration. She was asking something of the woken spirit way above them, but it was taking some time to materialise.

Mina looked up: up at what she knew to be a false summit, with another summit, and another, beyond. She scanned the ridge impatiently, and saw movement between the crags some way ahead. A finger of mist was creeping along a depression, growing as it descended. It soon met another, and they wound together into a single mass. The mist grew rapidly, and Mina realised that the entire ridge must be covered just out of sight. The sunlight vanished behind a wall of white. Suddenly, as though it had become too heavy for the hilltop, the mist fell, plummeting towards them in a silent avalanche. Mina stole one last view of the landscape, but it was already becoming obscured; the sheep, aware that they were about to lose each other, were running. The mist rushed down the slope obscuring everything in its path; Mina couldn't help flinching as it struck her. With her eyes closed, she felt nothing but a sudden cold. A bleating of sheep filled the valley from above and below.

Mina opened her eyes to find the world changed. Water clung to the stems of grass and the heads of thistles drooped with it. Roy was now at the limit of her vision, and the distant cries of sheep the only reminder of the scale of the valley. When Idil nodded to him he set off without hesitation, leading them up them higher. Idil followed and Mina, suppressing a sigh, fell into place behind her. She couldn't match the others' stoicism, their indifference to the harshness of the journey, and she longed to rest. For now she could only hoist her pack higher on her shoulders and tread were Idil trod. She knew, however, that it was not just fatigue that made her reluctant to continue the climb. The mist, though it would be useful for concealing them, indicated a greater challenge ahead. For the spirit to have granted them such a gift, it must have been restless indeed.

They had not been climbing long when Idil stopped. "Roy," she called softly.

Roy did not hear her, and she had to call his name again. He turned to look back at them, almost hidden once again by the mist. Idil seemed to be listening for something, and Mina edged closer to her. From some way below, and moving down the valley, she heard voices.

"Shepherds," said Idil.

Mina tensed. She did not like meeting people: they could be cruel, and were always suspicious. They had been lucky, so far, to have avoided them in the valley.

"They'll have dogs," observed Roy.

Dogs! This was the last straw: the mist would be useless against the dogs' sense of smell. She looked to Idil who was, as always, calm.

"We'll have to reach out to them, Mina," she said, "Follow my lead."

Mina fought to calm her nerves: they had been training for this sort of thing, after all. Never before, however, had she sent her senses into the Earth under such pressure. With a force of will she closed her eyes and took a deep, calming breath. She focused downwards, to her feet and the tangled, watery mess on which they stood. The familiar state of awareness came to her more easily than she had expected. A doubt appeared at the back of her mind, however, where she knew it would remain: why had Idil used her name, and not asked Roy to join in the lesson as well?

Having found the Earth, Mina sent her senses out to find the dogs. She was distracted, however, by the gurgling of the river and found herself there instantaneously. She had reached a small pool, fed by a tiny waterfall where the water gushed across rocks. It was dark and sheltered; a pleasant place to relax, though she knew she could not. She forced herself out and cast around the valley wildly, but was distracted again by the thundering hooves of running sheep. Finally, after holding herself still for a moment, she found what she was looking for. On the path by the river walked a group of people and dogs, satisfied after a day's work. The three dogs were easy to distinguish thanks to the rings they were running around the group. Encouraged, she abandoned herself completely and leapt into the dogs.

Mina was struck by the sensations of damp coats, hot breath and lolling tongues. She could immediately feel the dogs' sense of excitement, and the camaraderie – invincibility, even – of the pack. She shared their delight in the day's work up in the hills. In all her practise with her senses she had never felt anything like this, and she grinned in spite of herself. Through the dogs her understanding of the valley grew: she learnt of the best paths, vantage points and places to find shelter. She soon realised that, as an intruder in the valley, she would not be able to overcome their sense of smell. She, Idil and Roy would have to smell like they belonged. She focused again and searched the dogs for their favourite smell. It wasn't hard to find, as it was the place they were headed: it was in the house at the bottom of the valley. It was the room where the pack assembled, where the humans hung their coats. This was the smell that needed to fill Mina and the dogs' minds.

Idil, Mina realised, was one step ahead of her. The dogs had already picked up the scent and were running towards them, both excited and intrigued. Mina felt their hearts beating inside their chests, but realised she might also be feeling her own. The thought brought her back to herself abruptly; she could not maintain her focus and meet the dogs with her senses so far from her own body. She blinked her eyes open and drew a sharp breath; her body felt alien to her for a moment. The mist was thicker than she remembered so she found herself squinting through it as she searched for the approaching dogs. Three dark patches appeared in the mist and grew until, after a few seconds, the dogs broke free of it. They were smaller than Mina had expected: wiry creatures with water clinging to black and white coats and saliva dribbling from lolling tongues. As the dogs climbed towards them Mina realised, to her surprise, that she was not afraid.

Mina, Roy and Idil stood still as the dogs trotted over to investigate them. Wagging tails beat against their legs and the sound of sniffing filled the air. The dogs wove between them in cheerful circles, each satisfying itself that the three humans were part of the pack. Mina stole a glance at Idil and saw that her eyes were still closed. Even she could not suppress a smile, however, when one of the dogs licked her hand. Eventually the dogs turned as one to retrace their steps down the hill.

"Nice doggies," muttered Roy, sourly.

Three tails stopped wagging and six ears stood erect. Idil stepped forward immediately, hands outstretched. She crouched over the dogs as they stood still, poised and uncertain. Her concentration was unbroken; if she was angry with Roy, she did not show it. After a moment the dogs relaxed and resumed their descent. They were swallowed up by the mist as quickly as they had entered, and a whistle from the shepherds on the path guided them on their way.

Mina stood rooted to the spot, furious. She glared at Roy and saw that Idil was doing so too. Roy, though he was scowling, avoided meeting their eyes. He spun around and set off up the hill once again. Mina longed for Idil to give him a telling off, but knew she wouldn't. It wasn't the need for silence that held her tongue: she never told Roy off for his behaviour, though she was very quick to criticise Mina. It wasn't fair! Now, to make matters worse, Roy was still allowed to lead the way, at a pace Mina would struggle to match. She had no choice but to fall into step behind Idil, lest she lose them both in the mist.

The climb was hard, but not as hard as the thoughts running through Mina's head. She thought back to the lessons she and Roy had been having lately. He would get frustrated, then distracted, and Idil would have to repeat things for him. Perhaps this was why she hadn't asked him to help with the dogs. Well, Mina couldn't help it if she was better than he at listening to the Earth, could she? There was no reason for him to be childish and sabotage their efforts. Fuming, she kept revisiting the same arguments in her mind. Even so, she gradually became aware that her anger and sense of foreboding was not entirely internal. The upset of the spirit, now that they were so close to it, was contagious.

By the time they reached the top of the ridge Mina was very hot and bothered. Her damp hair clung to her head and her feet hurt. Ahead of her, Idil and Roy had paused where the slope levelled off. The mist here, though thick, was exposed to the wind, so it writhed and shifted like something alive. Its gradual parting and closing revealed a number of tooth-shaped rocks around them. Mina tried not to think of how deeply buried they were in the Earth; how much of the Spirit's fury they might share in. She lingered a little too long, and realised with a start that Idil and Roy had moved on. She caught sight of Idil's cloak disappearing into the mist between the rocks and hurried to catch up, her heart hammering, pack bouncing awkwardly on her back. The last thing she wanted was to be lost on the ridge, but she was embarrassed at how quickly she had panicked. She was glad, then, to be behind the others.
Roy found for them a narrow path between the rocks. The grass soon gave way to tough heather, and the ground was littered with little piles of sheep droppings. When they reached a more open space, Roy stopped.

"A lot of sheep have been here," he said.

Looking around, Mina saw the ground was churned up into mud by hundreds of hoof prints.

"The shepherds bring them here often," Idil replied, "They treat them for tics, then wash them in the waters of the lake."

"Is that why the spirit is angry?" Roy asked.

"No: this is something the spirit is willing to give. The shepherds, sheep and spirit have all grown together over time; they listen to one another. You know, there is something very special about this spirit," she looked from one to the other, "And I have always hoped to meet it. It has, sometimes, been known to speak."

"What does it say?" asked Mina.

"I don't know," Idil replied, smiling, "Perhaps nothing, but we will soon find out. I will lead the way now, Roy."

Mina noticed a change in Idil as they set off again: she held her staff ready in one hand and looked about warily as she walked. The feeling of anger in the surroundings grew and what was left of the daylight seemed to fade. They had not gone far when the mist abruptly parted. It was as if they had passed through a wall: mist stretched around to their left and right, but they now stood in slightly clearer air. The bank of mist formed a circle with a small lake at its centre. The surface of the lake was still and grey; long, sharp grasses grew at its edge. The lake had formed at the foot of a stack of boulders, the silhouette of which stretched away along the ridge. Boulders had tumbled into and around the lake, making the path to the bank treacherous.

Idil leant her pack against a nearby rock and looked sternly at the children. "Wait here," she said.

Idil had only taken a few steps, however, when she changed her mind and returned. She took off her heavy cloak, folded it carefully and placed it on the rock. Then she set off again, walking slightly to the right where the ground rose to meet the stack. Her bare arms looked especially pale in the half-light. It seemed to take Idil a long time to reach the lake, and Mina fought down an urge to run to her. She wanted to warn her of something she couldn't articulate, something terrible, but the silence restrained her. She hardly dared to breathe.

Ripples appeared on the lake and sloshed against the bank. They emanated from the centre of the lake, where a mass of churning water was growing rapidly. Each passing moment brought more activity, and fury, to the water; it was soon white and foaming. Mina hoped and wished that it might stop, or that Idil might be able to intervene, but it kept rising. It seemed like a solid object, though it consisted of nothing more than rising and falling water. Mina was transfixed: in her time travelling with Idil no spirit had ever chosen to manifest in such a dramatic fashion. None except the Pain Spirit.

Mina managed to push the thought from her mind, but not her body; she felt as though something had dropped from her stomach. She tore her gaze from the lake and looked at Idil, who was standing motionless. Her staff was held protectively across her body and her face was set in concentration. She showed no emotion as the tumult in the centre of the lake increased and the roar of the water intensified. The white, foamy mass rose into a pillar until it stood at about the same height as Idil. Then, in a harsh voice that completely lacked inflection, the spirit spoke.

"I cannot rest," it boomed, "While there are two."

Idil looked at Mina and Roy. Mina felt very aware of her brother standing beside her, as he always had, ever since they met the Pain Spirit. In Idil's face Mina could see that same awareness and, with it, fear. That look, though brief, told Mina everything she needed to know.

The pillar erupted form the lake and hit Idil squarely in the chest. Unprepared, she fell to the ground, her head narrowly missing a rock. The lake heaved and rushed towards the near bank. A second pillar shot upwards and arced towards where Idil lay. In the moments before it hit her she raised her staff a little, but she could not prevent herself being doused and vanishing from Mina and Roy's view. When the force of the water finally subsided, however, she sprang to her feet. Though weighed down by her wet hair and clothes she looked at the lake with the same determination as she had before. The lake launched another attack but, this time, Idil met it with her staff. The end of the staff presented a barrier the water could not penetrate, and the deflected water dissipated noisily against the rocks. Another column of water, from a different part of the lake, burst towards Idil, but she swung her staff and sent it skywards just as it reached her. Water thundered to the ground all around, spraying Mina and Roy where they stood.

Idil did not wait for another attack but strode purposefully towards the lake, staff raised. The lake responded in anger: its entire surface exploded in roaring white foam. Idil, undeterred, kept walking, beyond the bank and on to the lake bed itself. The maelstrom reached its climax, stretching upwards and spraying water in all directions. Idil was swiftly swallowed by it; when Mina and Roy caught a final glimpse of her she was standing in the centre of the lake. Seconds passed. Mina began to worry, but Idil's voice soon cut through the noise, amplified and hardened as the spirit's had been:

"If you destroy me there will be no Earthwitch."

The noise stopped. After a moment of silence the risen water fell, tumbling back to the lake bed with a sigh. In an instant the lake returned to normal, its surface choppy but lifeless. Roy set off towards it and Mina followed. When they reached it big waves were still striking the shore, disturbing the plants growing there. There was no sign of Idil. After looking over the lake for a moment, Roy climbed onto a rock which jutted out into the water and scrambled along it.

"Idil!" he cried.

Mina joined him, struggling a little on the wet, slippery surface, and strained her ears for Idil's reply. None came, and Roy called again. Then, seeing something, he bent down towards the water. He rose with a dark, dripping object in his hand: Idil's staff. Mina suddenly felt cold, though not from the water. The only sound was the rapidly diminishing impacts of the waves against the shore. Mina hoped that they would not fade to stillness – she could not bear to contemplate what silence, now, would mean.

Roy began to sweep the staff over the lake's surface. He stretched his body as far out as he could, and Mina saw that he was in danger of losing his footing.

"Roy," she said, "Take my hand."

He did so, and Mina crouched down to find something on the rock to hold on to with her free hand. Together they were more secure, and Roy continued to sweep the staff and scan the water. The waves became ripples, and though Roy continued to call, there was no answer. Mina was not sure how long she could stay crouched as she was, hardly able to move; she focused her attention on Roy's hot hand clenched in her cold one.

Without warning a black hand burst from the water and grabbed the end of the staff. Roy was pulled forwards, and Mina with him; she was barely able to keep her grip on the rock and they nearly fell. She cursed herself for not being as ready as Roy, nor as strong, but she saw that it didn't matter: Idil's head had broken the water and she was gasping for breath. Mina thought she should pull, but it was all she could do to hold Roy steady, and soon Idil was so close to the rock that she could grab it herself. Roy let go of Mina's hand as Idil, with a lot of splashing and grunting, hauled herself up on to the rock. As more of Idil rose into view Mina's relief was tempered with alarm at her appearance. The water, which had looked so white mere moments ago, had deposited black mud all over her body. It ran in rivulets down her face and clung to her hair. Idil was not looking at the children, nor did she acknowledge them as she stepped on to the rock and made for the shore.

Mina was showered in cold spray as Idil pushed past her, bent double. She half-climbed, half-stumbled back to the rock where she had left her coat and bent over, her body heaving. Mina and Roy climbed off their rock and cautiously followed. The clattering of the staff as Roy negotiated the rocks echoed around the lake. By the time they reached Idil she had coughed and spat several times, and her breathing was more controlled.

"Thank you," she gasped, "Thank you, children. Thank you."

"Why did it attack you?" demanded Roy.

"It was testing me," she replied, "But it is satisfied. Now, what do you say to getting off this hill and getting dry?"

*

Mina lay on her side on the forest floor, her back warmed by the remnants of the fire. The ground was soft beneath her, the sounds and smells of the forest familiar and homely. A light breeze caused the trees above her to touch each other with their branches. Behind her, Idil and Roy were stretched out asleep by the fire as usual. They had taken off their boots and left them drying; Mina hoped that they had not noticed hers were still on her feet. She needed the damp, cold feeling to keep herself awake, and would soon need the boots themselves for running.

The journey down the far side of the ridge had been exhausting. They had not spoken until they reached the bottom of the valley, where these woods nestled by a stream. As they walked Mina could think of nothing other than the Pain Spirit. She had been very young when they met it, so she did not remember it clearly. As a result the Pain Spirit grew and transformed in her mind, becoming more monstrous and more pitiable with every step she took. Its flaming, metal body seemed to go on for ever and its roar rang in her head. The Pain Spirit dwarfed every spirit she had met since, and she and Roy had been naïve to forget it. They were living on borrowed time, pretending to help the spirits of the Earth while harming them by their mere presence. The payment was still due: the voice from the lake, and Idil's frightened look, had proved it.

It could not be Roy: he would not accept the truth of the Pain Spirit, and would fight. Of the two of them, he was also the stronger candidate for the next Earthwitch. Had he not know the threat of the dogs without even needing to use his senses? It was true he was not very good at using them anyway, but he was getting better. Roy would always act where Mina would hesitate. He wanted the best for the Earth, and Idil could teach him. They would have many more adventures together, in many wonderful places, and eventually...

Mina stopped herself: thinking of a future for Roy in which she did not feature was too painful. She hugged her arms to her body and drew deep breaths of night air. She had to focus on what she was doing. It was time to stop playing the coward, forever at the back of the group; it was time to give herself to the Earth. Yet if she would need a plan, if she was to get back to the City without Idil and Roy stopping her. They would miss her before long even though they slept. The woods would help her here: she was smaller than the others and could through smaller gaps in the undergrowth. It was simply a matter of finding the best route.

The spirit – or spirits – of these woods had been dormant for an age, so her senses were duller than they had been earlier in the day. She had, nevertheless, carefully worked them into the ground and untangled the web of roots she found there. From the roots it was easy to move to the trunks of trees and then their branches; from the trees she learnt the lie of the land. She now had a clear mental map of the woods - she was ready to go. Some small part of her body still longed for sleep, right here, where it was warm. She pushed it aside: she would not know sleep for some time.

In one smooth motion Mina rose to her feet and pulled on her pack. Though she had been quiet, she heard Roy move behind her. She ran, as planned, towards the thickest clump of trees, her heart hammering in her chest.

"Mina, no!" cried Roy, jumping up and running after her.

Mina redoubled her efforts, screwing her eyes shut and using her mental map to navigate. She leapt and ducked under branches, ignoring the pain as they scraped against her. She realised that she had failed to take the bulk of her pack into account when planning her escape. It was no good: Roy was faster than she, and would surely be able to grab it from behind. Yet, to her surprise, he did not catch up with her. His footsteps behind her even appeared to be slowing.

"Idil," he called, "She's going!"

Mina did not have time to stop and think about Roy's words. Idil was too far away, and too tall, to catch up with her. So she kept running towards the edge of the woods, and felt the ground rise steeply beneath her. She crashed through fallen leaves and grabbed at the trees to aid her climb. She was panting for breath, and soon dropped to all fours in order to navigate the slope more easily. She had only gone a short distance like this, however, when she fell.

Mina could not work out what had happened at first. She had gone from crawling upwards to lying face-down in the leaf litter in an instant. She was more surprised than hurt, and it occurred to her that her fall had been much louder than she would have expected. Clods of dirt had flown everywhere, covering her, and the smell of freshly exposed soil filled her nostrils. She found she could neither raise her self up nor continue crawling: her leg was caught on something. No, the something was wrapped around her leg, just below the knee. She could still twist herself, so she got into a siting position and probed the object with her fingers. It felt a little like a branch but it was smoother and slightly damp: a root. She had not registered it when making her mental map: it was new. It had burst out of the ground and arrested her mid-flight.

Mina felt herself growing angry: this should have been impossible! What care had the slumbering spirit for a little girl way up on the surface? What could have compelled it to do something so unnatural, so obviously targeted at herself? It had not awoken, but it had still left her sitting in this ridiculous position, at a time when the whole Earth was relying on her. There was nothing else for it: she would have to use the spirit's strength to release herself. Yet she had never before used her skills in this way; the risk of waking the spirit was great. There wasn't enough time to ready herself properly, so she gathered her senses and practically dived into the Earth. There was the spirit, deep down, dreaming the dreams that came with its vast, timeless knowledge. The dreams were impenetrable – somehow she would have to draw the spirit's attention. A voice came to her then, a voice far more corporeal than what she sensed below ground.

"Stop, Mina," cried Idil from the bottom of the hill, "We have done quite enough of that."

Mina opened her eyes and was instantly disorientated. The silence of the woods seemed absolute, and she herself very small within them. Idil was coming towards her holding a burning branch from the fire, and Roy was behind her. They wove a slow, unhurried path between the trees. Mina could see in their expressions a grim determination, but no anger or surprise. She realised, then, that they had tricked her, they had known what she was going to do, they had...

"Idil," she shouted, "You took something the Earth was not willing to give!"

Idil did not answer – she merely climbed until she stood at Mina's leg. She handed her torch to Roy and crouched down with a knife in her hand. She did not look Mina in the eye as she began to saw at the root.

"I did," she said, at last, "And must now hope to be forgiven."

Mina could only stare at Idil: the betrayal had left her speechless. The only sounds between them for a moment were that of the knife, and the writhing of the root among the leaves. When the root gave way Idil reached up and unwound it from Mina's leg. Mina realised that she could have done that part herself, but she felt momentarily frozen. When Idil stood and reached out a hand to her, however, she found she could take it.

Where Mina had expected to be pulled to her feet, however, she was pulled into a hug. "We know how you feel," Idil said, "We heard the spirit too. But we calmed it, didn't we? Like we always do. Besides, what were you planning to do when you reached the Pain Spirit, wake it up?"

Mina couldn't answer, pressed as she was against Idil's body. One of Idil's hands was on her back and the other stroked her head – it was the biggest hug of her life, and she wasn't entirely sure what to do. It was a nice feeling, to be hugged by Idil, though she still smelt strongly of stagnant water.

"Mina, I know I have done some terrible things," Idil continued, "But I will never again ask you to sacrifice yourself to the Pain Spirit. I no longer believe it's what the Earth wants. I won't believe it. If you won't take my word for it then, please, take Maxwell's."

Mina suddenly felt the threat of tears in her eyes. Idil's grip had now become uncomfortably tight, and her words came out in fits and bursts.

"You were so small, so small, when I took you from the beach. But I'm proud of you. What you can do. And of you, too, Roy. You did well today."

If Roy made a reply, however, Mina did not hear it. She stepped backwards a little, and Idil released her. Then Idil spun around and led the way back downhill. Roy followed, and the pool of firelight moved with him. Exhaustion flooded through Mina's body, and she fell into step behind her brother. Up ahead, Idil was saying something about boots and cold feet. Mina's mind, however, was reliving the past few moments. It would not be long before the three of them returned to their camp, lay down again and woke up again. They could achieve a lot when they did things together, and perhaps Idil had been right about the Earth after all. Something, however, would be missing, something Mina had once taken for granted. She could not remember when Roy had last hugged her as Idil just had, and she wondered if he would have the chance to do so again.

That does sound like my kind of book - I've read a few things set during the downfall of the British empire in that region

"If you stop sharing the Gospel, it stops being the Gospel" https://masterofolympus.wordpress.com/2025/11/17/diary-74-dessert-night/

So with the attempts at this puzzle so far it looks as if it is actually less open than I thought. The fact that all of the sum totals must add up to a constant (412) means that only a few sets of totals work. If you aim for all four of Σa, Σb, Σc, and Σd being equal, they come out as 103 each. So I'm updating this puzzle with the end points I'd like to aim for:
102, 102, 103, 105
If this doesn't work we'll try the simpler:
102, 102, 102, 106
It's arbitrary which variable takes which value, but remember whichever has the highest value can't be present on the zero car (point 5 of the original challenge)

I went to a talk recently by the comic artist Tom Humberstone on AI and artists. He gave the following advice to artists about resisting the tide of "slop". https://tomhumberstone.com/

Be Vigilant (stay informed, read ToCs, be a digital nomad)
Be Political (join a union, write to your MP, advocate)
Be Messy (draw badly, enjoy the process, experiment, explore)
Be Imperfect (don't chase perfection, make mistakes, stay human)
Be Truthful (art is communication - communicate)
Be Pointless (make art and don't share it)
Be Slow (don't let the cultural of productivity sway you,  take your time)
Be Weird (make art for yourself, singular, unique)
Be Social (make/join creative groups,  draw in the cafe/pub, talk)

ALSO I'm in need of the Exilian community's help with an aspect of Redredred, please click here to see it.

I pick up my conversation with Joe https://masterofolympus.wordpress.com/2025/10/23/diary-73-yet-more-playtesting/

Hi everyone

I'm asking the community's help in solving a puzzle which will enable me to balance a tabletop game I'm designing. If you like sudoku-type puzzles, this might be for you. I do not think there is an exact solution to the puzzle, and it's easy to create a workable one by hand. My curiosity won't be satisfied, however, until I have found the optimal solution to it. This may require computation. Either way it is beyond me.


Click here to view the spreadsheet. Please don't edit it – it should be set to allow you to download. To share your answer – and you could have multiple goes – please upload as a comment here the content of the "Card" column and the "Variables" column. The latter will populate automatically as you complete the puzzle, if you use the spreadsheet as it is.

The game consists of 22 cards. Each has a numerical value. Each also shows between 1 and 3 variables from a, b, c and d. For example, the card of numerical value 12 already contains symbols b and d. The greater the card's numerical value, the more influence the variables printed will have on the state of play. I have denoted the total influence each variable has, ie. the sum of each of the cards it appears on, with the symbols Σa, Σb, Σc, and Σd.

The challenge:
Complete the grid by inserting the letter a, b, c or d into each of the blue squares, such that:
1.   No variable appears twice on the same card.
2.   All variables appear an equal number of times (twelve).
3.   Three of the values of Σa, Σb, Σc, and Σd are the same.
4.   The fourth Σ value from the above is close to the others but very slightly higher
5.   That variable does not appear on the card with a numerical value of zero

Σa, Σb, Σc, and Σd should update for you every time you add a letter into the grid. Needless to say, the variables already populated on the grid and currently in white squares cannot be changed. In (3) above I don't believe we can get all three values equal. Also the definition of "close" in (4) is vague.

Thanks in advance for your help here. I'm just as interested in your methodology. Is there, for example, a branch of mathematics which will provide us with an algorithm for finding the optimum solution? Can an iterative process do it? Or can we just solve it by visual inspection as we work from top to bottom, or bottom to top?

When we've had a few goes I'll tell you a bit more about the project. As a variant, is it possible to fill the grid such that Σa, Σb, Σc, and Σd are all equal? There is a second, very similar, puzzle to solve afterwards too.

Cheers for reading and I hope you'll find this interesting.

indiekid

I'm reading a book that was given to me as a gift: A Canticle for Leibowitz. It's cited as one of the influences of the Fallout video games. I'm enjoying it mainly for it's comic aspects (future generations' misunderstandings of our civilisation etc). It centres on a monastery holding out against a "dark age" and I really like this line: In a dark sea of centuries wherein nothing seemed to flow, a lifetime was only a brief eddy, even for the man who lived it.

It's actually one of the big puzzles with this project: how to keep a record of what's been done so far. Some early playtesters felt this was important, as the game otherwise degenerates into a series of unconnected scenes. Recent playtesters haven't felt so strongly about this. Perhaps when I am more precise with what I'm aiming for I'll know what to do.
There was the option of collecting cards around the player's (bigger) character card, as records of the equipment etc they were gradually acquiring

...also thank you for the comment on last entry Jubal, I'm sorry I missed it. I had never thought of looking at them actually, though I vaguely remember one from my childhood. It's an interesting concept and the child-friendly version of Yarn Spinning I mention at the end of the entry does kind of suit this. But the rules at the moment don't involve laying the pictures side by side, they're discarded once used up

One which taxes all of my blogging skills https://masterofolympus.wordpress.com/2025/10/02/diary-72-the-centre-of-the-universe/

Designing games is hard https://masterofolympus.wordpress.com/2025/09/22/diary-71-barking-up-the-right-tree/