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Essays arrive in groups rather than one at a time, and a group usually opens up a subject not covered before. Between one group and the next nothing changes, so a reader who has seen the most recent group has seen everything.

26 October 2026

3 essays on the families, the impossibility and what is taught wrongly

A smooth curve beats the water's best join from its first term — the families
Gravity is worth four loops a station, and the background still hides a deep root — the impossibility
A known coast charges an office's habit, and a bending one takes it out — what is taught wrongly

21 October 2026

3 essays on what each projection optimises, paths and directions and what is taught wrongly

A cap on the worst departure keeps the thin regions' gain and gives back the square's — what each projection optimises
A revised forecast is relearned in as many crossings as the learner remembers — paths and directions
The spread between hands charges the mean, and an office's habit hides in the sheet — what is taught wrongly

15 October 2026

4 essays on the families, the impossibility, paths and directions and what is taught wrongly

The water would join Goode's map at seventy-five degrees — the families
A sea with five islands is seldom worth five cuts — the impossibility
A season learns the stretch from where the streak was, not from the floors — paths and directions
Averaging tracings reads the easing, until the hand repeats itself — what is taught wrongly

6 October 2026

5 essays on the impossibility, paths and directions, grids, and what a survey does, what each projection optimises and what is taught wrongly

A loop reads a root's depth from its own pattern, and a triangle reads none of it — the impossibility
A layer is a meeting with the bank, not a corner turned — paths and directions
An agency can map where its published covariance is optimistic — grids, and what a survey does
Three maps make a plane, and the band's best map lies outside their triangle — what each projection optimises
An easing is a seam with a width, and a drifting hand hides the width — what is taught wrongly

3 October 2026

1 essay on the impossibility

A levelling loop weighs the root, and a triangle weighs the mountain — the impossibility

30 September 2026

3 essays on the families, paths and directions and what each projection optimises

The ocean centres its lobes on the land's cuts, and cannot keep its own cuts short — the families
An ensemble carries its own margin, if its spread is honest — paths and directions
Two maps and the line between them do the work of every exponent — what each projection optimises

29 September 2026

6 essays on the impossibility, grids, and what a survey does, the families and what is taught wrongly

A levelling loop reads the circulation, and the geoid has none — the impossibility
One survey cannot tell an optimistic report from a moved mark — grids, and what a survey does
The land would move Goode's lobes before his join — the families
The second cut goes across the sea — the impossibility
An adjustment hides the sphere only in a strip of equal triangles — what is taught wrongly
A second tracing tells a drifting hand from a copied stretch — what is taught wrongly

27 September 2026

2 essays on the impossibility and what each projection optimises

One cut belongs to the island that would cost most alone — the impossibility
The pass was a map meeting itself — what each projection optimises

25 September 2026

9 essays on the impossibility, the families, grids, and what a survey does, what each projection optimises, paths and directions and what is taught wrongly

A triangle reads the geoid's curvature, and that one converges — the impossibility
On the land it was drawn for, the homolosine wins by its meridians — the families
Honest about its control, the test needs eight centimetres where it needed five — grids, and what a survey does
The land puts the homolosine's join eleven degrees higher — the families
The archipelago rule moves water between regimes, not between states — grids, and what a survey does
The band names the exponent for a compact region, and not for a thin one — what each projection optimises
Tonight's residuals measure tonight's air badly and weight tonight's fix well — paths and directions
A reach set drawn from the river's outline is a bound again — paths and directions
A strip of triangles carries the sphere's error to the next base — what is taught wrongly

24 September 2026

7 essays on grids, and what a survey does, paths and directions and what each projection optimises

Three numbers are all a local survey can check of its control — grids, and what a survey does
Naming the control station that moved takes a fifth — grids, and what a survey does
A week of twilights learns what a sight is worth — paths and directions
One exponent names one map, and at tight bands a better one than the band usually finds — what each projection optimises
Written in numbers, the archipelago rule still leaves eighteen — grids, and what a survey does
A forecast's error in where the streak is becomes a margin — paths and directions
The sinusoidal is the edge of its family, not outside it — what each projection optimises

23 September 2026

4 essays on the families, paths and directions and what is taught wrongly

The seam falls faster than the paper — the families
Scored lobe by lobe, the homolosine loses to its own lower half — the families
Weighted by what it disagrees with, the fix trusts the sight it leans on — paths and directions
A residual cannot count the pieces of a map — what is taught wrongly

20 September 2026

5 essays on the families, what each projection optimises, the impossibility and what is taught wrongly

One curve beats the three maps it would replace — the families
Six projections have two curves, and the refusal has company — what each projection optimises
Two islands are three numbers, and the proof does not survive them — the impossibility
A second clause decides the half that was already decided — what each projection optimises
The region was a rectangle in a projection — what is taught wrongly

17 September 2026

5 essays on grids, and what a survey does, the families, the impossibility and paths and directions

A straight baseline moves more water inward than sea outward — grids, and what a survey does
Only Eckert II's family can be the strip, and its meridians are straight — the families
A second pin is a measurement of the places — the impossibility
The control carries the error of every network above it — grids, and what a survey does
A low sight is worth keeping only if it is weighted — paths and directions

16 September 2026

7 essays on the impossibility, paths and directions and what is taught wrongly

The geoid has a curvature only if you say where you stopped — the impossibility
A bend in the barrier puts the drawn polygon over water — paths and directions
Two numbers about the paper buy nothing about the places — the impossibility
A streak along the jet moves the floor while the crossing is flown — paths and directions
The correction is the smaller of the two corrections — what is taught wrongly
The area weighting was a readership all along — what is taught wrongly
A copy eased into place loses its seams before its source — what is taught wrongly

15 September 2026

12 essays on the impossibility, paths and directions, what is taught wrongly, the families and what each projection optimises

The pair that cannot be held is not the one the geometry names — the impossibility
The residual reports the error the fix was immune to — paths and directions
A mixed picture holds one more, and what it is holding is north — the impossibility
What the extra unknown costs where nothing can see it — paths and directions
A confidence ellipse is honest only where the sheet keeps angles — paths and directions
An angle is a difference, and the difference doubles the error — what is taught wrongly
An equal-area strip removes the corner and charges nothing for it — the families
The map that keeps the most ground inside a tolerance — what each projection optimises
A criterion worth using is one whose answer is not unique — what each projection optimises
The map is finer than the paper it is folded from — the families
The pass that fails first is not the one that was measured — what each projection optimises
The pass's depth belongs to the projection, and it is not a constant — what each projection optimises

14 September 2026

7 essays on paths and directions, the impossibility, what each projection optimises, the families and what is taught wrongly

A jet moves the floor that a uniform wind cannot — paths and directions
A line of position is Newton's method, but only on a conformal chart — paths and directions
A cocked hat holds the ship one time in four — paths and directions
Five bearings of twelve, and only eight ways to draw them — the impossibility
Chebyshev's map is the best at its worst, and not on average — what each projection optimises
Joined where the parallels agree, and the meridians turn a corner — the families
A bearing on a sphere is decided by its latitude, not its radius — what is taught wrongly

13 September 2026

14 essays on paths and directions, the impossibility, grids, and what a survey does and what is taught wrongly

The reach set takes the shape of the roads — paths and directions
A drawn reach set stops at the river — paths and directions
The rule that keeps a route near land is pinned at both ends — paths and directions
A crossing bends by a law only a conformal chart can show — paths and directions
The error belongs to a few of the places — the impossibility
A diversion allowance in a wind is the same circle, moved upwind — paths and directions
A place with a size can be drawn to scale — the impossibility
A flat picture has one direction between two places, and the Earth has two — the impossibility
A ring can be drawn whole, and only one way — the impossibility
A river boundary goes where the river goes, or stays where it was — grids, and what a survey does
A compiled map agrees with its graticule except where it was copied — what is taught wrongly
The highest summits stay where they are, and the watershed does not — grids, and what a survey does
An ellipsoid computed to a nanometre is known to a decimetre — what is taught wrongly
The sea is measured from a tide, and the headlands decide how much — grids, and what a survey does

11 September 2026

20 essays on paths and directions, the impossibility, grids, and what a survey does, the families and what is taught wrongly

Every reach set ever drawn is too small — paths and directions
A partition under a directed cost has two versions — paths and directions
Four cities that cannot be drawn to scale — the impossibility
The shortest route between two coasts — paths and directions
A crossing is a chain of decisions — paths and directions
How wrong a flat picture has to be — the impossibility
The best flat picture is not a map — the impossibility
Five distances of six, and never more — the impossibility
The escape is not a dimension — the impossibility
One sentence, and the ground between its readings — grids, and what a survey does
The line a commission can actually run — grids, and what a survey does
The span ladder, run on all five — the families
A meridian boundary moves when its datum does — grids, and what a survey does
The corner that is the curvature — the families
A family is a function, not a list — the families
An equidistance line belongs to a surface — grids, and what a survey does
A tripoint defined three times — grids, and what a survey does
The maps with no family are simply better — the families
The sheet moved before it was measured — what is taught wrongly
A map with no graticule — what is taught wrongly

5 September 2026

13 essays on the impossibility, the families, what is taught wrongly, what each projection optimises, what the numbers refer to, what a machine does with it and measuring distortion

What a cut buys — the impossibility
How many triangles it takes — the impossibility
Four radii of the Earth — the families
The average was a choice of norm — what is taught wrongly
The pooled score abandons a region — what each projection optimises
On a body with a hole, north can be up everywhere — what the numbers refer to
The height a coordinate does not carry — what the numbers refer to
The orientation is a policy — what a machine does with it
The sample was drawn on the page — measuring distortion
Two indicatrices do not make a third — measuring distortion
A cartogram keeps the shapes it inflates — measuring distortion
A current drawn on a page has sources — measuring distortion
Rounding is not noise — measuring distortion

1 September 2026

20 essays on the impossibility, paths and directions, grids, and what a survey does, the families, what is taught wrongly, what each projection optimises, what a machine does with it and measuring distortion

How big a triangle it takes — the impossibility
The most compact shape depends on the paper — paths and directions
The score is not stable at any scale — paths and directions
Two charts are enough, and one is not — the impossibility
One pair of numbers, a hundred and twenty places — grids, and what a survey does
The exact map says the seam is smooth — the families
The ranking is not an order — what is taught wrongly
The answer is a set — what is taught wrongly
The first break is mostly its denominator — what each projection optimises
The nodes were evenly spaced — what each projection optimises
A tolerance in map units is not a tolerance — what a machine does with it
The worst point is not on the grid — measuring distortion
A mean that does not exist can still be printed — measuring distortion
There is no equal-area lattice on a sphere — measuring distortion
A refinement that stops moving — measuring distortion
Which of these numbers are the sampler's — measuring distortion
One number changed and the whole map moved — measuring distortion
The lines where the bending vanishes — measuring distortion
The area is unbiased and the perimeter is not — measuring distortion
The fourth number the ellipse does not carry — measuring distortion

31 August 2026

20 essays on paths and directions, the families, grids, and what a survey does, what each projection optimises, what is taught wrongly, what the numbers refer to, what a machine does with it and measuring distortion

The shortest route a vehicle can fly — paths and directions
The corner is not at the midpoint — the families
A family is not closed under averaging — the families
The network's answer is decided before it is measured — grids, and what a survey does
The threshold is not a percolation — what each projection optimises
Which small quantity the series is in — what is taught wrongly
A condition imposed at points is not a condition — what each projection optimises
A vertical rate needs a height system — what the numbers refer to
A cell's children do not fit inside it — what a machine does with it
Every country's zero is a different surface — what the numbers refer to
A label belongs to no tile — what a machine does with it
The parameters are not independent — what the numbers refer to
A ray from the centre hits the surface twice — what the numbers refer to
Which features survive is not a sample — what a machine does with it
Two routes to one scale — what a machine does with it
A choropleth is read by area — measuring distortion
A symbol has a size on the page and an area on the ground — measuring distortion
A dot map's density is partly the projection's — measuring distortion
The class breaks were computed on the page — measuring distortion
What the page cannot move — measuring distortion

30 August 2026

20 essays on paths and directions, the impossibility, the families, grids, and what a survey does, what is taught wrongly, what each projection optimises, what the numbers refer to, what a machine does with it and measuring distortion

A reach set with a cost that depends on direction — paths and directions
Four colours, and what a cut cannot do to them — the impossibility
The set that can be reached is not the set that can reach — paths and directions
Where the surface curves the other way — the impossibility
The gnomonic crosses a seam without a corner — the families
Further north on the grid is not further north — grids, and what a survey does
A rotation is not absorbed the way a shift is — what is taught wrongly
The basins have widths as well as depths — what each projection optimises
Which projection a weighting can make best — what is taught wrongly
The ground has an indicatrix too — what the numbers refer to
A velocity needs a frame and a strain rate does not — what the numbers refer to
A grid stops fitting the ground it was laid on — what the numbers refer to
The strain a map adds to the ground's — what the numbers refer to
The query a fast path actually answers — what a machine does with it
The cheapest map that meets its areas — measuring distortion
A density that asks for no room at all — measuring distortion
The ellipses are a sample, drawn at a size somebody chose — measuring distortion
The error that does not average down — measuring distortion
A length measured from noisy points is too long — measuring distortion
The best compromise for angle is not the best for bending — measuring distortion

28 August 2026

35 essays on paths and directions, the impossibility, grids, and what a survey does, the families, what each projection optimises, what is taught wrongly, what the numbers refer to, what a machine does with it and measuring distortion

A circle of a distance is not a circle — paths and directions
Nearest of many is a partition — paths and directions
A corridor has a width the page cannot keep — paths and directions
How many times, not whether — the impossibility
The places where a map is exactly right — the impossibility
Sixty zones was a decision about one latitude — grids, and what a survey does
What the net heuristic cannot find — the families
Where the valley breaks in two — what each projection optimises
The nearest map to an impossible request — what each projection optimises
The tolerance that decides the verdict — what is taught wrongly
The geoid model stops at a degree — what the numbers refer to
The attribute is a claim about the geometry — what a machine does with it
The second derivative cannot classify — measuring distortion
The error ellipse is not an ellipse — measuring distortion
Whether the ellipses point the same way — measuring distortion
The line drawn straight on the page is a route — paths and directions
A projection defined by a table has an interpolation in it — the families
The blunder the network cannot see — grids, and what a survey does
The datum hides inside the projection's parameters — what is taught wrongly
The height of the pass between two basins — what each projection optimises
The nearest equal-area map to an impossible request — what each projection optimises
A longitude that drifts with the rotation rate — what the numbers refer to
The rotation has two sign conventions — what the numbers refer to
The radius of curvature is two numbers — what the numbers refer to
The correlation is not the same in every direction — what the numbers refer to
A thousand features are wrong in the same direction — what a machine does with it
How many features a scale can carry — what a machine does with it
The answer depends on the cells it was counted in — what a machine does with it
A map drawn to a density it was handed — measuring distortion
The renderer runs out of numbers before the zoom does — what a machine does with it
Every density can be met and none is free — measuring distortion
A map that meets its target can fold — measuring distortion
Everything else on the page pays for the areas — measuring distortion
The light comes from a page direction — measuring distortion
The curvature of a field is not the curvature of its picture — measuring distortion

26 August 2026

15 essays on paths and directions, the impossibility, what is taught wrongly, the families, grids, and what a survey does, measuring distortion, what the numbers refer to and what a machine does with it

The shortest route is not at sea level — paths and directions
No map of the whole sphere is one to one — the impossibility
North cannot be up everywhere — the impossibility
Two opposite places on the same spot — the impossibility
The equator is not a circle either — what is taught wrongly
Where the control points are — what is taught wrongly
The family is a symmetry, not a shape — the families
The weights are a guess the solve believes — grids, and what a survey does
An average of ellipses is not an ellipse — measuring distortion
The slope of a field that was measured — measuring distortion
A long window and a square one — what the numbers refer to
What another common point buys — what the numbers refer to
When the edges do not line up — what a machine does with it
The road is drawn two pixels wide — what a machine does with it
A boundary that two features share — what a machine does with it

24 August 2026

15 essays on the impossibility, what is taught wrongly, measuring distortion, what each projection optimises, the families, grids, and what a survey does, what the numbers refer to and what a machine does with it

Impossible in two derivatives, possible in one — the impossibility
The projections that are beaten on both counts — what is taught wrongly
A slope is not a shape — measuring distortion
Not every distortion can be asked for — what each projection optimises
A net can land on top of itself — the families
The contour is right and the reading is wrong — measuring distortion
A grid reference names a square — grids, and what a survey does
The shape of the valley — what each projection optimises
Water runs downhill on the ground, not on the page — measuring distortion
The size at which the second derivative arrives — measuring distortion
The difference of two coordinates — measuring distortion
Cuts of the same size in different places — what the numbers refer to
A mountain is not a buried sphere — what the numbers refer to
A polygon on a sphere has no outside — what a machine does with it
The same number of cells, in two shapes — what a machine does with it

23 August 2026

15 essays on paths and directions, what is taught wrongly, the families, measuring distortion, what each projection optimises, grids, and what a survey does, what the numbers refer to and what a machine does with it

Where the shortest route stops being the only one — paths and directions
A residual has more than one explanation — what is taught wrongly
The inverse of the series is not the series of the inverse — the families
The indicatrix at a point that has none — measuring distortion
The developable surface was never necessary — the families
Report the map, not the parameters — what each projection optimises
A coordinate is the output of a solve — grids, and what a survey does
The seven parameters have their own uncertainty — what the numbers refer to
A vector tile has an integer grid — what a machine does with it
The map depends on where it was cut — what the numbers refer to
Cells that are rectangles in no coordinate — what a machine does with it
How far the plumb line bends — what the numbers refer to
A line has a length only at a scale — what a machine does with it
Simplification does not commute with the projection — what a machine does with it
A tolerance is a promise about the picture — what a machine does with it

22 August 2026

15 essays on the impossibility, what is taught wrongly, measuring distortion, what each projection optimises, the families, grids, and what a survey does, what the numbers refer to and what a machine does with it

Two surfaces with the same curvature — the impossibility
The rule scored out of sample — what is taught wrongly
The second derivative is not an invariant — measuring distortion
When the answer is not in the library — what is taught wrongly
A coordinate is a number with a width — measuring distortion
An error ellipse is an indicatrix — measuring distortion
Every equal-area map is every other one — what each projection optimises
The net that loses the fewest neighbours — the families
The average of noisy positions moves — measuring distortion
The landscape the search walks on — what each projection optimises
The bound on the body the country is on — grids, and what a survey does
The line a height is measured along — what the numbers refer to
A conformal map of a body that is not a quadric — what the numbers refer to
A real edge has a width — what a machine does with it
The same data on two grids — what a machine does with it

20 August 2026

15 essays on paths and directions, what is taught wrongly, measuring distortion, the families, what each projection optimises, grids, and what a survey does, what the numbers refer to and what a machine does with it

The quickest route is not the shortest — paths and directions
The rule of thumb, scored — what is taught wrongly
A map does not say what it is — what is taught wrongly
Two projections that cannot be told apart — what is taught wrongly
What a careless copy hides — what is taught wrongly
A projection between two projections — measuring distortion
Where the series stops being the map — the families
The condition does not always decide the map — the families
The third parameter, run — what each projection optimises
The best grid a country could have had — grids, and what a survey does
The chain the satellite does not have — grids, and what a survey does
A chain of transformations does not close — what the numbers refer to
A conformal map of a body with three axes — what the numbers refer to
A tilted view has no zoom level — what a machine does with it
One edge is not an edge — what a machine does with it

19 August 2026

15 essays on the impossibility, what each projection optimises, measuring distortion, the families, what the numbers refer to and what a machine does with it

Curvature that varies from place to place — the impossibility
Solving for the map instead of choosing it — what each projection optimises
The second derivative over a region — measuring distortion
A conformal map onto a face — the families
A local model has an order — measuring distortion
A map with no formula — what each projection optimises
More faces, less distortion, more cutting — the families
The aspect has three numbers, not one — what each projection optimises
The sphere is not the plane at small counts — what each projection optimises
A map of a body with three axes — what the numbers refer to
A body with no sea level — what the numbers refer to
A query is a disc, and a disc is not a cell — what a machine does with it
A deflection is the slope of a mass — what the numbers refer to
The address is a curve through the sphere — what a machine does with it
An edge has no order of convergence — what a machine does with it

18 August 2026

15 essays on what each projection optimises, measuring distortion, the families, what the numbers refer to and what a machine does with it

A projection written as a condition — what each projection optimises
Tissot stops at the first derivative — measuring distortion
Bending and stretching are one failure — measuring distortion
The globe on a solid — the families
Three conditions are one too many — what each projection optimises
A map that cannot be read backwards — what each projection optimises
The cut has to go somewhere — the families
The second derivative has its own ranking — measuring distortion
What a face can preserve — the families
A coordinate on another body — what the numbers refer to
An address is an area — what a machine does with it
The same projection on a different body — what the numbers refer to
A body that is not an ellipsoid — what the numbers refer to
Hexagons cannot tile the sphere — what a machine does with it
A cell system trades area for shape — what a machine does with it

16 August 2026

15 essays on the impossibility, paths and directions, what each projection optimises, what is taught wrongly, measuring distortion, the families, grids, and what a survey does, what the numbers refer to and what a machine does with it

A direction carried round a loop — the impossibility
A route that must go round — paths and directions
The average of two projections — what each projection optimises
Equal-area on the wrong body — what is taught wrongly
How many sheets an atlas needs — what each projection optimises
The indicatrix is a limit — measuring distortion
The azimuthal family is one function — the families
The normal section is not the geodesic — what is taught wrongly
An area on the grid is not an area on the ground — grids, and what a survey does
Two parameter sets, one transformation — what the numbers refer to
Zoom is a ladder — what a machine does with it
A centroid belongs to a plane — what a machine does with it
A height that is not a length — what the numbers refer to
What a closed figure cannot see — grids, and what a survey does
Inside is a claim about the edges — what a machine does with it

15 August 2026

15 essays on what a machine does with it

A screen map is a pyramid of tiles — what a machine does with it
The scale of a screen map is not one number — what a machine does with it
A scale bar is right in one place — what a machine does with it
The square costs the poles — what a machine does with it
The pixel is a place with a size — what a machine does with it
A tile is drawn without its neighbours — what a machine does with it
The pyramid did not have to be Mercator — what a machine does with it
A coordinate without its system is not a location — what a machine does with it
A degree is not a unit of length — what a machine does with it
Computing an area needs a surface — what a machine does with it
A straight segment is a claim about a plane — what a machine does with it
The antimeridian is a cut in the numbers — what a machine does with it
Nearest is a question about the metric — what a machine does with it
Reprojecting a raster invents values — what a machine does with it
The operation decides the coordinate system — what a machine does with it

14 August 2026

15 essays on grids, and what a survey does

A grid has an origin that is not there — grids, and what a survey does
What a grid is made of — grids, and what a survey does
The scale factor of a line — grids, and what a survey does
The scale factor was chosen — grids, and what a survey does
The units are part of the coordinate — grids, and what a survey does
Designing a grid for one region — grids, and what a survey does
Where two zones meet — grids, and what a survey does
A grid scaled to the ground is not a map — grids, and what a survey does
What a tape measures — grids, and what a survey does
A traverse must close — grids, and what a survey does
The two ways to spread a misclosure — grids, and what a survey does
Setting out runs the chain backwards — grids, and what a survey does
Two grids over the same ground — grids, and what a survey does
The tolerance decides the model — grids, and what a survey does
A published coordinate is a result — grids, and what a survey does

11 August 2026

15 essays on what the numbers refer to

What a coordinate refers to — what the numbers refer to
The seven parameters, and what each one does — what the numbers refer to
A datum is fitted to a region — what the numbers refer to
Where a fit leaves residuals — what the numbers refer to
Molodensky's shortcut — what the numbers refer to
When a formula is not enough — what the numbers refer to
The epoch is part of the coordinate — what the numbers refer to
Height above what? — what the numbers refer to
The ellipsoid is a level surface — what the numbers refer to
A levelled height is not a distance — what the numbers refer to
The plumb line is not the normal — what the numbers refer to
The ground is not the grid — what the numbers refer to
The third coordinate moves too — what the numbers refer to
The flattening is not a free parameter — what the numbers refer to
The figure of the Earth was measured — what the numbers refer to

10 August 2026

12 essays on what each projection optimises, the impossibility, paths and directions, the families, measuring distortion and what is taught wrongly

Fitting the aspect to the region — what each projection optimises
How small is flat enough — the impossibility
The route with no shortest path — paths and directions
Choosing for a line, not a region — what each projection optimises
Flying a curve in straight legs — paths and directions
The conic is the whole family — the families
The curvature of the Earth is not one number — the impossibility
Where the worst point is — measuring distortion
Conformal does not mean the angles are right — what is taught wrongly
Distortion has a direction — measuring distortion
Where a pseudocylindrical puts its error — the families
Grid north is not north — the families

5–8 August 2026

34 essays on the families, what each projection optimises, the impossibility, paths and directions, measuring distortion and what is taught wrongly

Cylinders, cones and planes — the families
Every projection minimises something — what each projection optimises
No map is faithful — the impossibility
The shortest route is not straight — paths and directions
Tissot's indicatrix — measuring distortion
Web Mercator is not conformal — what is taught wrongly
Mercator against Peters — what is taught wrongly
What a standard parallel buys — the families
What can be unrolled — the impossibility
What survives a change of coordinates — measuring distortion
Which projection is best — what each projection optimises
Why Mercator exists — paths and directions
Compromise projections — what each projection optimises
The aspect is a free choice — the families
The gnomonic companion — paths and directions
The projection that shows true size — what is taught wrongly
The trade-off is two lines — the impossibility
The two ways a map is wrong — measuring distortion
Chebyshev's criterion — what each projection optimises
Measuring instead of naming — measuring distortion
The Earth is a sphere, and when it is not — what is taught wrongly
The great-circle vertex — paths and directions
Total curvature and the scale rule — the impossibility
Transverse Mercator and the series that computes it — the families
Geodesics on the ellipsoid, and why they are hard — paths and directions
Geodetic against geocentric latitude — what is taught wrongly
Giving up continuity — what each projection optimises
Measuring curvature from inside — the impossibility
Scale distortion is the third failure — measuring distortion
UTM and the zone system — the families
Datum shifts dwarf projection errors — what is taught wrongly
Distortion over a region — measuring distortion
The projections that gave up being one thing — the families
The plate carrée, the projection nobody chooses — what is taught wrongly