The Musical Keys Session That Wasn’t

A walk, some dreadful weather and a double-booking. Also some photographs.

INTRODUCTION

Musical Keys run regular sessions for NAS West Norfolk, and I attend these sessions both as a participant and in my role as branch secretary of NAS West Norfolk. Today should have been a Musical Keys day, and after lunch I set off on an afternoon walk with the Scout Hut in Gaywood as my envisaged final destination. 

A LITERAL DAMPENING

Although I was ultimately aiming for Gaywood I decided to lengthen the walk by going along the river bank as far as my regular cormorant observation point and then returning to the route to Gaywood by way of Seven Sisters and the Red Mount Chapel. Unfortunately I was near the end of the riverside stretch when the rain started coming down in stair rods, and it stayed raining all the way to Gaywood. Although Gaywood Library is small there are sometimes good books to be found there, and I did find some today.

A METAPHORICAL DAMPENING

While in Gaywood Library I logged into a computer, and it was there that I saw a facebook post telling me that Musical Keys had been cancelled due to a double booking. As I was still not fully dried out from the walk to Gaywood I was more than usually annoyed by this.

A POSSIBLE CHANGE OF LOCATION

This is not the first time we have had problems of this nature with this venue, so it is natural to be considering new venues. The British Red Cross have a suitable room in thier building at Austin Fields which is close to the centre of King’s Lynn. It is true that the principal approach from outside King’s Lynn, Edward Benefer Way/ John Kennedy Road, is prone to traffic jams, but I think the good outweighs the bad in terms of this venue. 

PHOTOGRAPHS

Even in the poor weather I experienced I was able to get a few decent photographs:

doves
This was taken in Fakenham yesterday – this window ledge is immediately outside my work area at James and Sons and these doves have been using it for a few days now.

moorhen family 1Moorhens and ducksMoorhens and ducks 2Tern 1Glaucous GullTern 2

2 flying cormorants
Two flying cormorants ine one shot – a first for me.
Flying cormorant
My second edit of that same picture, focussing on the nearer of the two cormorants.

Cormorant PlatformCormorantsKing of the Cormorant castleIII CormorantsFarewell to Cormorant PlatformMoorhen adult and child

Puzzles and Pictures

A puzzle based on a blog post, a solution to an old puzzle, another puzzle from brilliant and some photographs

INTRODUCTION

Earlier today I put up a post titled “About Autism“, and because that post contained so much stuff this post is going to be much smaller – and with only a few links, all in one way or another puzzle connected. 

DERIVING A PUZZLE FROM A BLOG POST

Ester put up a post titled “Year 1729“, which featured the image below:

IMG_0079

The puzzle I am attaching to this is: which two famous mathematicians are linked by the number 1,729 and how did that link come about?

THE SOLUTION TO THE
MARBLES PUZZLE

In a post on Monday titled “Autism, Disability, Mathematics, Religion, Politics” which featured the following problem:
Marble Q

Below is first the answer that I gave, and then one of the solutions posted on brilliant:

answer

This solution from Arjen Vreugdenhil was particularly neat:

solution

NEW PROBLEM: TREASURE HUNT

This is another problem from Brilliant – can you find the treasure?

treasurehunt

PHOTOGRAPHS

PC 2Cormorants and gullstaking the plungeLarge slugCormorants 5Cormorants 4Cormorants and West Lynn ChurchCormorants 3Cormorants 2CormorantsFlying gull agains sunsetFlying gullblack slugtownscape

Wagtail
This time the little wagtail has the shot to itself.

 

 

 

About Autism

Some important autism themed pieces and a few of my photographs.

INTRODUCTION

I have several important links relating to autism to share with you, and I urge you to continue that sharing process. Just to remind my readers I am #actuallyautistic, and also branch secretary of the National Autistic Society’s West Norfolk branch, and in that latter capacity I will conclude this introduction by reminding you of NAS’s catchline:

UNTIL EVERYONE UNDERSTANDS

A NOTE ON ATTRIBUTIONS

I found some of these pieces by way of people other than the original author. In such cases as well as crediting the actual author I also intend to mention the person who gave me the tip off. If you seen an underlining anywhere it is a link, and those links that are body text will be in a colour other than black to further highlight them.

INCLUSIVE AUTISTIC TRAITSAUTISTICALITY

This piece was brought to my attention when the Neurodivergent Rebel reblogged it. It is a long piece, but very readable and absolutely bang on the money. The list itself is too long to quote here, but the screenshot below which explains the problems that the post goes on to address brilliantly is a good start:

IAT

THE LEFEVER BIKE RIDE

Paul and Jamie Lefever recently undertook a sponsored cycle ride from King’s Lynn to the National Autistic Society’s HQ in London, a distance of 118 miles. A full account, under the title “11-year-old Jamie cycles 118 miles for our charity (4 September 2017)” is available on the NAS website.

Jamie Lefever.

ABA THERAPISTS BUSTED

This piece, written by Amy Sequenzia, a well known autistic person and advocate for autism, was originally posted on the autismwomensnetwork under the self explanatory title “ABA Providers Making Fun of Autistic People“. I include a graphic from this post below:

Image is a photo of a group of human figure-shaped wooden pegs clustered to the left and a single wooden peg standing off to the right. Text says,
Image is a photo of a group of human figure-shaped wooden pegs clustered to the left and a single wooden peg standing off to the right. Text says, “It is about how ABA “therapists” REALLY see Autistics. It is about them making fun of us because they see us as broken and hopeless. -Amy Sequenzia, autismwomensnetwork.org”

 PREPARING AN AUTISM FRIENDLY SECONDARY CLASSROOM

With the new school year just getting underway, Lynn McCann of Reachout ASC has published a very informative and constructive piece under the title “Preparing an autism friendly secondary classroom“. 

AN AUTISM RELATED TWEET

While preparing this post I saw the following tweet, from Paul Isaacs, so here it is:

WEB RESOURCES FROM THE NEURODIVERGENT REBEL

I end the post with something I have touched on before. Previously I only included the email address for those who wanted to add to the list. This time I include the list as well:

web resources

This is a growing list. Please send suggestions to NeurodivergentRebel@gmail.com

PHOTOGRAPHS

As always, I end this post with some of my own photographs:

wagtail in pigeon's shadow
The pigeon in the background helps to show how tiny this wagtail is.

Squirrel

climbing squirrel
No I have not rotated this shot – the squirrel really is on a vertical tree trunk.

high tide and sunset

Rathskellar and Hanse House
This shot shows Hanse House and the Rathskellar, the latter of which is hosting a charity beer festival this weekend.

Marriott'sPlaques

27 King Street
I was due to steward at 11-13 King Street between 12 and 2PM on Heritage Open Day, but this has now been changed to 27 King Street, which is this fine building.

27 King Street - plaque

EIFCA boat 2
The Eastern Inshore Fisheries and Conservation Auhtority.
Cockler and research boat
The cockling boat Baden Powell and a Fisheries Research vessel.

Serene DawnCormorants and West Lynn ChurchCormorants 6 (1)Cormorants and gullsPC

 

SBS

Some nature themed links and some of my own photographs. Snakes, butterflies and slugs feature prominently in this post, hence its title.

INTRODUCTION

Welcome to this nature themed post on aspi.blog. The title is formed from the initial letters of snakes, butterflies and slugs, all of which feature prominently. 

SOME SWEDISH STUFF

Of course when posting about nature and mentioning Sweden, Anna is going to feature prominently, but also featured here is the work of two Swedish photographers, Ingrid Benson who specialises in butterflies and John Jonasson who photographs reptiles.

A SERIES OF BUTTERFLY POSTS

Some of you may remember that I reblogged a post from fargaregardsanna about butterflies in and around Trosa that was marked as the first of a series. Well that series now runs to six posts, four posts based on the work of Ingrid Benson and two more featuring some of Anna’s own photographs. I now provide links to all of them:

  1. Fjärilar i Trosa – Butterflies in Trosa Sweden part 1 – the series opener – as all posts in this series are titled in this way the remaining links will only contain the part number at the end of the title.

  2. Part 2 – more from Ingrid Benson.
  3. Part 3 – more from Ingrid’s collection.
  4. Part 4 – the last of these posts to feature Ingrid’s work.
  5. Part 5 – the first of the two posts featuring Anna’s own photographs – I include two rather than the regular one as I could not decide between them.

  6. Part 6 – the last post (to date) in the series.

SNAKES

Anna put up a post titled “Snake day” featuring some pictures of snakes near where she lives…

…at the end of it she included a link to the site run by John Jonasson and featuring pictures and information about snakes.

A COUPLE MORE
NATURE RELATED LINKS

Firstly, from A New Nature Blog comes a post titled “Guest Blog: Agri-environment – a need for detailed scrutiny, by Steve Peel” which is quite a long post but well worth reading.

Secondly, from Mitch Teemley, comes a piece titled “Caterpillars Don’t Become Butterflies!” which explains the process of metamorphosis.
10298900_10203759279603307_7085417779304645126_n

MY PHOTOGRAPHS

We end as usual with some of my own photographs:

butterfly1
The first four of the six butterfly pics that open this set of photos were taken yesterday.

Butterfly2Butterfly3Butterfly4

Butterfly 1
This was taken today, and I thought even at the time that it was out of focus, but luckily…
Butterfly 2
I then got this.

moorhen and chickCorvid

small water creature
This was floating along the Gaywood river too rapidly for its progress to be down to the flow of the river (which is sluggish).
Slug 1
The slugs (three pics) – today is warm and just a bit damp – and the slugs love it that way.

Slug 2Slug 3

Swimming cormorants
Two swimming cormorants in one shot – a first for me.
Diving cormorant
This cormorant went into a dive as I was clicking the shutter…
Cormorant
…but then came up again not much later.

 

 

Monday Miscellany

A mixed bag of an offering this Monday afternoon!

INTRODUCTION

This post will be every bit as varied as its title suggests, featuring a mix of politics, mathematics, music, nature and photography (and possibly more). 

SOME MATHS RELATED STUFF

I start with one of more recent followers, RobertLovesPi, and I have several pieces of his to share:

My next piece, courtesy of whyevolutionistrue is titled “The Coffer Illusion“, which concerns the picture below:

If the illusion defeats you, you can find out where the circles are by going to the original post. 

I finish this little section with a nod to the mathematical website Brilliant, which I am a regular visitor to (I am currently on a 64 day problem solving streak). As a sample here is a problem I solved today, rated at maximum difficulty by the site, pretty close to minimum by me:

Pythag

You can look at solutions to this problem on the website, and I will reveal the answer on this blog tomorrow. 

A FEW POLITICAL PIECES

There has been a lot of coverage from various people of events in Charlottesville. I choose to draw your attention to Richard Murphy’s excellent piece on Tax Research UK, titled “Charlottesville is a cradle of extremism: we should take note“. Below is a screenshot of the first few paragraphs:

charlottesville

My second link is to the petitionsite, regarding a young women in El Salvador who having been raped and then had a miscarriage has then been jailed for 30 years due to the Catholic church influence anti-abortion laws of that country. The screenshot below is formatted as a link to take you to this petition to sign and if possible share it:

Screenshot 2017-08-14 at 3.29.29 PM

I finish this section on a lighter note, courtesy of whyevolutionistrue. This little piece titled “Where is North Korea? Some Americans have no idea” reminds us how unacquainted USians are with that area known as the rest of the world! Here is a screenshot of the opening paragraph:
Screenshot 2017-08-14 at 3.39.40 PM

PHOTOGRAPHS

I usually end my blog posts with some of my own photographs, but this photograph section has an additional feature – as a nod to the principal subjects of many of the photos that follow I offer you a musica prelude – Ottorino Respighi’s “The Birds”:

cormorants and boatCormorants8Cormorant headsCormorants6Cormorants4Cormorants3Cormorants2Cormorants1Cormorants and gull 5Cormorant4Cormorants11Cormorants 10Cormorants and gull3TerngullCormorant3Cormorant2

Cormorant
I did not notice the white bird on the far side of the river until I was editing this one – I think from the shape and colour that is a Little Egret but the image is not clear enough to be sure.

Cormorants and swimming gullPollinator3Flybutterfly wingPollinator2white butterflyPollinator

Squirrel does Meerkat impression
This squirrel is clearly an impressionist – and his meerkat is very good!

Bird Pics on the #Inglorious12th

A post for the #Inglorious12th, featuring the right kind of bird shooting – that done with a camera.

INTRODUCTION

Today is August 12th, which is for well-heeled British hooligans the start of the grouse shooting season, known to them as “The Glorious 12th”. For folk like me, who view those who derive pleasure from taking pot shots at birds with utter contempt it is therefore the #Inglorious12th.

SHOOTING BIRDS THOMAS STYLE

I choose to mark today by posting pictures of birds shot the only acceptable way – with a camera. Most of these are from this morning, but I am also including some older pics.

Little Egret 1
The Little Egret that featured a couple of weeks back.
Magpie
A magpie on the path alongside the Great Ouse
wagtail
I was at the racecourse before my colleague arrived with a key, and this wagtail caught my eye while I was waiting.

small wadersmall wader2small wader3small wader4small wader5small wader6

CP1
The first of the new pictures – this and the final cormorant pic are in their correct positions, but some of the rest of the cormorant series are out of order.

Cormorant posing 1Cormorant posing 2Cormorant posing 3CormorantCP2CP3CP4CP5CP6two cormorantsCP and West Lynn churchFlying gullsRavenMoorhen in algaeJuvie moorhen

Jay1
I finish with this Jay – two live photographs and the relevant page from my bird book.
Jay2
The close-up shot.

Jay book page

 

 

Monday Madness 1: Science and Nature

A post largely devoted to nature, featuring links to Anna’s “Paradise on Earth” series of posts, a couple of infographics, a petition and some my own nature pics.

INTRODUCTION

This is the first of several posts I will be putting up today. I will start by bringing you up to date with Anna’s magnificent “Paradise on Earth” series which now runs to 12 posts, then I have a couple of twitter images to share with you, and at the end I will include some of my own photographs. 

PARADISE ON EARTH

I covered the first three posts in this series in The Fight To Save Trosa Nature, reblogged part 4 in full here, and then put up another post featuring parts 4 and 5. Since then Anna has continued to showcase the Tureholm Peninsula’s wildlife as follows:

  • Part 6 – continuing to feature birds. I include the Mistle thrush picture below as a sample:
  • Part 7 – another post about birds, including this crane:
  • Part 8 – focusses on slugs and snails, including the beauty below:
  • Part 9 – A more general pieces showing a wide range of local animals, including the moose pictured below:
  • Part 10 – focusses on the butterflies that live in the area, including the rare Apollo butterfly shown below:
  • Part 11 – A few more butterflies, including the one below:
  • Part 12 – focusses on water creatures, including the stickleback below:

INFOGRAPHIC 1: ICE-FREE ARCTIC?

This is by way of a warning of what our species is doing to this planet, and since it concerns the Arctic it follows on naturally from the stuff about the Tureholm Peninsula:

AI

INFOGRAPHIC 2: ON SPECIES

This one shows an illogicality in our classification of species by showing side by side three species of cat that share 95.7 of their DNA, and are therefore quite correctly considered members of the felidae and two species that share over 98% of their DNA but are classed as members of different genera. The reason the second pair of species are classed as more widely split than the first trio has nothing to do with logic and everything to do with religion (and Carolus Linnaeus, also known as Carl Von Linne, the pioneer of our system of classification admitted as much in the 18th century btw):

DNA

A PETITION REGARDING UK ZOOS

UK Zoos are still treating their animals badly, and there is now a petition on thepetitionsite calling on DEFRA to crack down on misery in UK Zoos. As one who cannot remmeber when I last visited a UK zoo (the last zoos I visited anywhere were those in Melbourne and Adelaide, both of which treat their animals well and give them space to move, in 2009-10) I urge you to sign this petition and help increase the pressure being applied.

zp

SOME OF MY OWN PHOTOGRAPHS

I finish this post with some of my own recently taken photographs:

Cormorant and Caspian Gullsposing cormorantCormorants2Cormorants and gullCormorant convocation 2

Grasshopper
This grasshopper being on the path frather than in the grass made it easier to spot and photograph.

Flying Herring Gull 2Flying Herring GullMoorhen2Pollinator 1Birds3Birds2Blackbird2

 

 

A Variety Post

A mixed bag of a post, featuring local politics, libraries, autism, science, nature and photography.

INTRODUCTION

Welcome to this post in three parts. I am going to start by mentioning a local election that took place in my area today and in which I voted, then I will be mentioning an event that will be taking place at Gaywood Library (one of four such establishments in Norfolk that I visit at least semi-regularly) and I will finish up with some links to do with nature which will lead naturally to some of my photographs.

A FORCED BY-ELECTION

The election in which I voted today happened due to the laziness and arrogance of the incumbent councillor, who in spite of living just across the road from the Town Hall never attended meetings.

Four candidates were in the contest, in alphabetical order:

Rob Archer of the Green Party
Francis Bone of the Labour Party
Helen Russell-Johnson of the Liberal Democrats
Mike Taylor of the Conservative Party

In the ordinary course of events my inclination, especially given that the displaced councillor had been from the Labour Party would have been to vote for Mr Archer. However, the Liberal Democrat candidate happens to be my aunt. Therefore I voted for her.

I have started this post by covering this election for two reasons:

  1. I want to make it clear to the Liberal Democrats that I voted for my aunt IN SPITE of the fact that she was representing them not because of it.
  2. Also, just in  case Mr Archer happens to be reading this, I hope he will take it as both explanation and apology for not having voted for him on this occasion.

I conclude this section of the post with a picture of my Political Compass certificate (it is free and does not very long to answer the questions which are used to assign your score):

Political Compass Certificate

THE GAYWOOD LIBRARY EVENT

The event at Gaywood Library is a Business Evening at which I hope it will be possible to raise the subject of the Autism Hour, one of the National Autistic Society’s recent initiatives. I have already confirmed that I will be in attendance. Here are a couple of pictures to end this section:

Personalised SymbolPublic Libraries DisplayPL coinPL stamps

SOME NATURE PIECES

My nature links naturally divide into three segments, with a few photographs of my own forming a fourth. We will start with…

A NEW DINOSAUR FIND

This story courtesy of scienmag.com is about a dinosaur that has been named Albertavenator Curriei (“Currie’s Alberta Hunter”, named in honour of Canadian paleontologist Dr Philip J Currie). Below is a representation of this creature by Oliver Demuth:

IMAGE
Credit: Illustrated by Oliver Demuth. © Oliver Demuth

OPPOSITION TO TROPHY HUNTING

Stan Kroenke, current owner of Arsenal Football Club, has just launched a new TV channel devoted to blood sports. I have two links to share, and some words for Arsenal fans at the end:

  1. A Guardian piece titled “Trophy hunting is vile. Stan Kroenke’s TV channel must be banned” which gives full detail on this.
  2. A change.org petition aimed at the sponsors of Arsenal Football Club asking them to withdraw support and so help force Kroenke out, screenshot below:
    KroenkeOut

For ordinary Arsenal fans my suggestions are simple – boycott all home matches until Kroenke goes, and if you are a season ticket holder return your ticket and demand a full refund, making it clear that you will return if and only if Kroenke is no longer involved with the club.

MORE ON THE FIGHT TO PROTECT TROSA NATURE

This morning I reblogged Part 4 of Anna’s series of “Paradise on Earth” posts highlighting the wildlife that can be seen around Trosa and the Tureholm Peninsula. Since then she has added yet another post to that series, and I include links below:

  1. Part 4, concentrating on birds including the Osprey shown below.
  2. Part 5, also dedicated to birds. I have chosen as my sample image a Linnet.

Finally, to end this section, and the post as a whole we have some of…

SOME OF MY LOCAL NATURE THEMED PICTURES

Mother and childMoorhen3 CormorantsCormorantCormorants at waters edgeCormorants and gullsMoorhen in upper purfleet

Little Egret 1
I close this post by revisiting the Little Egret.

Autism Infographics and Some Photographs

A couple of classic autism infographics I spotted in the last 24 hours and some photographs of my own.

INTRODUCTION

The photographs which will be appearing in two tranches at the end of this post are mine, all taken yesterday. The two autism related infographics are shared from elsewhere (credit given at appropriate points). I saw the first of these yesterday evening and the second this morning.

AUTISM INFOGRAPHICS

First, courtesy of Patricia, who tweets as @pgzwicker, comes this gem:

Autistic chiuld infographic

The second was originally posted on Our Autism Blog this morning, and I link to that post so that you can comment on it there should you wish:

OABinfog

PHOTOGRAPHS

The first of the two sets of my photographs that I am putting up here were taken while out walking yesterday morning:

Upper Purfleet
The Upper Purfleet
giant slug
A giant slug on the path alongside Bawsey Drain
Moorhen
A moorhen swimming in a clear pool
Moorhen and lilies
This second pool was covered in water lilies.
white duck
A town centre section of the Gaywood River
Moorhens and algae
In the parkland area – this stretch of river is covered in algae.
Magpie
A magpie on the path alongside the Great Ouse
Cormorants
Near the end of the walk – some shots of cormorants and boats on the town centre section of the Great Ouse.

CormorantBoat3 CormorantsCormorants on platform2 cormorantsCormorant2Boat and gulls

The last few pictures for today were taken yesterday afternoon while sitting outside my parents house in East Rudham. These are probably the last shots I will have from there as my parents are moving to Plymouth.

Bee1Bee3Bee2

1100

My 1,100th post on aspiblog – features some fun around the number 1,100, a number of links to autism related stuff and some photographs. Read, enjoy and please share!.

INTRODUCTION

Yes folks, this is my 1100th post on aspiblog. I will start with a section on the number 1100, provide a number of autism related links and include some of my own photographs. 

1100

1,100 = 2 * 2 * 5 * 5 *11.
An ammunition store that contained 20 complete pyramids of cannon-balls each with a base side length of 5 cannonballs would contain a total of 1100 cannonballs:
(1 + 4 +9 + 16 +25) = 55, 55 * 20 = 1,100.
These same cannon balls could also have been stacked in five tetrahedrons each with a base side length of 10.
(1 + 3 + 6 + 10 + 15 + 21 + 28 + 36 + 45 + 55)= 220, 220 * 5 = 1,100
However, it was standard to stack cannon balls in pyramids, and also a the single cannon ball on top of a stack 10 cannonballs high might be rather difficult to reach.
Another option on the pyramidal theme would be a single truncated pyramid with base side length 15 cannonballs, and the top layer of the pyramid having a side length of 64 (225 + 196 + 169 + 144 + 121 + 100 + 81 + 64 = 1,100.
As a teaser what is the minimum base size length needed to stack 1,100 cannonballs in a single truncated tetrahedron, and what if you restrict yourself by insisting that each layer must be a perfect triangle? 

AUTISM RELATED LINKS

This section is devoted to autism related stuff, so the text, including links which will be in bold and underlined, is all in #RedInstead. My first link comes from the blog aliensfromplanetautism under the title “What Autism Acceptance Means” Below is a screenshot of the start of the post:

AutAcc

Next comes a link to thesilentwaveblog, with a post called “Can we talk about autism awareness?“. The post is headed by a splendid graphic reproduced below.

My next offering is also courtesy of thesilentwaveblog, under the title ‘Taking the “pity” out of serendipity‘. It also features an excellent picture, reproduced below.

While my next choice is not specifically about autism it is produced by an autistic blogger, unabashedautist. Published under the title “Signals, Jerry. Signals.“, it features a graphic which I just had to share with you as I do below, not least because it has been declared illegal in Russia.

Now we turn back to thesilentwaveblog and a piece with the title “
Asperger’s / autism and self-acceptance (#IveLearnedToAccept)“. This post also features a splendid picture, reproduced below.

My next link, and the last before I move into a new subsection (still autism related), comes courtesy of BadassAmericanAdvocates guest writer Anonymously Autistic Anna. Titled “PLEASE READ AUTISTIC PERSPECTIVES THIS AUTISM AWARENESS / ACCEPTANCE MONTH“, it is truly a must read. I have included a screenshot of the opening paragraphs below.

apseakingnotapeaks

THE AUTISM AWARENESS CUP

Bookings are now open for the second running of the Autism Awareness Cup six-a-side football tournament, which takes place at Ingoldisthorpe Social Club on June 4th (and it is free btw). If you are able to come along please click on the graphic below to book:

PHOTOGRAPHS

DSCN5609DSCN5610DSCN5612DSCN5613DSCN5614DSCN5615DSCN5616DSCN5617DSCN5618DSCN5620DSCN5621DSCN5623DSCN5624

DSCN5729
This is the front cover of the printed catalogue for James and Sons’ April auction, all three days of which are taking place at our shop on Norwich Street. If you click on the image you can view on online catalogue listing and sign up to bid via the-saleroom.com if you are so minded.

ANSWERS TO TEASER

The second part of the teaser was a trick question – there is no combination of consecutive triangle numbers that adds up to 1,100, therefore a perfect truncated tetrahedron is not possible. The first part of the answer is that you can make a truncated tetrahedron of 1084 cannon balls from a base with side length 18 up to side length 7, but there are then only 16 balls left for the next layer which is therefore incomplete.